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book

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[book]
authors = ["Dominic Zimmer"]
language = "en"
multilingual = false
src = "src"
title = "The Art of Memory Loss and the Art of Memory Loss"
[output.html]
curly-quotes = true
mathjax-support = true
no-section-label = true
[output.html.playground]
editable = true
line-numbers = true
[output.html.fold]
enable = true
level = 1

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- [The Art of Memory Loss](./index.md)
---
# Motivation
- [Beispiel 1](./motivation/example1.md)
- [Beispiel 2](./motivation/example1.md)
- [Beispiel 3](./motivation/example1.md)
---
# Mathematische Grundlagen
- [Stochastik](./foundations/stochastik.md)
- [Matrizen](./foundations/matrices.md)
---
# Fallstudien
- [Radioaktiver Zerfall](./casestudies/radioactive.md)
- [Language Models](./casestudies/languagemodels.md)
- [Brettspiele](./casestudies/boardgames.md)
- [Pagerank](./casestudies/pagerank.md)
- [Pagerank](./casestudies/pagerank.md)

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# Stochastik

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# Stochastik

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# Stochastik

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# Pagerank

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# Stochastik

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# Matrizen

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# Stochastik

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# The Art of Memory Loss
> "Die Kunst des Gedächtnisverlustes beschäftigt sich damit, trotz großer Vergesslichkeit auf lange Sicht stets die Richtigen Antworten zu wissen."
>
> --- *irgendjemand, Saarbrücken 2023*
In diesem Workshop stellen wir uns die Fragen
- Welche Konsequenzen hat es, kein Gedächtnis zu haben?
- Welche Fragen können wir trotzdem beantworten?
- ...
- Was haben Google, ChatGPT und Radioaktiver Zerfall gemeinsam?

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# Beispiel 1

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/*!
* Bootstrap Reboot v4.0.0 (https://getbootstrap.com)
* Copyright 2011-2018 The Bootstrap Authors
* Copyright 2011-2018 Twitter, Inc.
* Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
* Forked from Normalize.css, licensed MIT (https://github.com/necolas/normalize.css/blob/master/LICENSE.md)
*/
*,
*::before,
*::after {
box-sizing: border-box;
}
html {
font-family: sans-serif;
line-height: 1.15;
-webkit-text-size-adjust: 100%;
-ms-text-size-adjust: 100%;
-ms-overflow-style: scrollbar;
-webkit-tap-highlight-color: transparent;
}
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width: device-width;
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article, aside, dialog, figcaption, figure, footer, header, hgroup, main, nav, section {
display: block;
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margin: 0;
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font-size: 1rem;
font-weight: 400;
line-height: 1.5;
color: #212529;
text-align: left;
background-color: #fff;
}
[tabindex="-1"]:focus {
outline: 0 !important;
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hr {
box-sizing: content-box;
height: 0;
overflow: visible;
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h1, h2, h3, h4, h5, h6 {
margin-top: 0;
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a {
color: #007bff;
text-decoration: none;
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a:hover {
color: #0056b3;
text-decoration: underline;
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a:not([href]):not([tabindex]) {
color: inherit;
text-decoration: none;
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a:not([href]):not([tabindex]):hover, a:not([href]):not([tabindex]):focus {
color: inherit;
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outline: 0;
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font-family: monospace, monospace;
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margin-top: 0;
margin-bottom: 1rem;
overflow: auto;
-ms-overflow-style: scrollbar;
}
figure {
margin: 0 0 1rem;
}
img {
vertical-align: middle;
border-style: none;
}
svg:not(:root) {
overflow: hidden;
}
table {
border-collapse: collapse;
}
caption {
padding-top: 0.75rem;
padding-bottom: 0.75rem;
color: #6c757d;
text-align: left;
caption-side: bottom;
}
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text-align: inherit;
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label {
display: inline-block;
margin-bottom: .5rem;
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border-radius: 0;
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outline: 1px dotted;
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button,
input {
overflow: visible;
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button,
select {
text-transform: none;
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button,
html [type="button"],
[type="reset"],
[type="submit"] {
-webkit-appearance: button;
}
button::-moz-focus-inner,
[type="button"]::-moz-focus-inner,
[type="reset"]::-moz-focus-inner,
[type="submit"]::-moz-focus-inner {
padding: 0;
border-style: none;
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input[type="checkbox"] {
box-sizing: border-box;
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input[type="time"],
input[type="datetime-local"],
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-webkit-appearance: listbox;
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textarea {
overflow: auto;
resize: vertical;
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fieldset {
min-width: 0;
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border: 0;
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legend {
display: block;
width: 100%;
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margin-bottom: .5rem;
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progress {
vertical-align: baseline;
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[type="number"]::-webkit-inner-spin-button,
[type="number"]::-webkit-outer-spin-button {
height: auto;
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[type="search"] {
outline-offset: -2px;
-webkit-appearance: none;
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::-webkit-file-upload-button {
font: inherit;
-webkit-appearance: button;
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output {
display: inline-block;
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summary {
display: list-item;
cursor: pointer;
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/*# sourceMappingURL=bootstrap-reboot.css.map */

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/*!
* Bootstrap Reboot v4.0.0 (https://getbootstrap.com)
* Copyright 2011-2018 The Bootstrap Authors
* Copyright 2011-2018 Twitter, Inc.
* Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
* Forked from Normalize.css, licensed MIT (https://github.com/necolas/normalize.css/blob/master/LICENSE.md)
*/*,::after,::before{box-sizing:border-box}html{font-family:sans-serif;line-height:1.15;-webkit-text-size-adjust:100%;-ms-text-size-adjust:100%;-ms-overflow-style:scrollbar;-webkit-tap-highlight-color:transparent}@-ms-viewport{width:device-width}article,aside,dialog,figcaption,figure,footer,header,hgroup,main,nav,section{display:block}body{margin:0;font-family:-apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,"Helvetica Neue",Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol";font-size:1rem;font-weight:400;line-height:1.5;color:#212529;text-align:left;background-color:#fff}[tabindex="-1"]:focus{outline:0!important}hr{box-sizing:content-box;height:0;overflow:visible}h1,h2,h3,h4,h5,h6{margin-top:0;margin-bottom:.5rem}p{margin-top:0;margin-bottom:1rem}abbr[data-original-title],abbr[title]{text-decoration:underline;-webkit-text-decoration:underline dotted;text-decoration:underline dotted;cursor:help;border-bottom:0}address{margin-bottom:1rem;font-style:normal;line-height:inherit}dl,ol,ul{margin-top:0;margin-bottom:1rem}ol ol,ol ul,ul ol,ul ul{margin-bottom:0}dt{font-weight:700}dd{margin-bottom:.5rem;margin-left:0}blockquote{margin:0 0 1rem}dfn{font-style:italic}b,strong{font-weight:bolder}small{font-size:80%}sub,sup{position:relative;font-size:75%;line-height:0;vertical-align:baseline}sub{bottom:-.25em}sup{top:-.5em}a{color:#007bff;text-decoration:none;background-color:transparent;-webkit-text-decoration-skip:objects}a:hover{color:#0056b3;text-decoration:underline}a:not([href]):not([tabindex]){color:inherit;text-decoration:none}a:not([href]):not([tabindex]):focus,a:not([href]):not([tabindex]):hover{color:inherit;text-decoration:none}a:not([href]):not([tabindex]):focus{outline:0}code,kbd,pre,samp{font-family:monospace,monospace;font-size:1em}pre{margin-top:0;margin-bottom:1rem;overflow:auto;-ms-overflow-style:scrollbar}figure{margin:0 0 1rem}img{vertical-align:middle;border-style:none}svg:not(:root){overflow:hidden}table{border-collapse:collapse}caption{padding-top:.75rem;padding-bottom:.75rem;color:#6c757d;text-align:left;caption-side:bottom}th{text-align:inherit}label{display:inline-block;margin-bottom:.5rem}button{border-radius:0}button:focus{outline:1px dotted;outline:5px auto -webkit-focus-ring-color}button,input,optgroup,select,textarea{margin:0;font-family:inherit;font-size:inherit;line-height:inherit}button,input{overflow:visible}button,select{text-transform:none}[type=reset],[type=submit],button,html [type=button]{-webkit-appearance:button}[type=button]::-moz-focus-inner,[type=reset]::-moz-focus-inner,[type=submit]::-moz-focus-inner,button::-moz-focus-inner{padding:0;border-style:none}input[type=checkbox],input[type=radio]{box-sizing:border-box;padding:0}input[type=date],input[type=datetime-local],input[type=month],input[type=time]{-webkit-appearance:listbox}textarea{overflow:auto;resize:vertical}fieldset{min-width:0;padding:0;margin:0;border:0}legend{display:block;width:100%;max-width:100%;padding:0;margin-bottom:.5rem;font-size:1.5rem;line-height:inherit;color:inherit;white-space:normal}progress{vertical-align:baseline}[type=number]::-webkit-inner-spin-button,[type=number]::-webkit-outer-spin-button{height:auto}[type=search]{outline-offset:-2px;-webkit-appearance:none}[type=search]::-webkit-search-cancel-button,[type=search]::-webkit-search-decoration{-webkit-appearance:none}::-webkit-file-upload-button{font:inherit;-webkit-appearance:button}output{display:inline-block}summary{display:list-item;cursor:pointer}template{display:none}[hidden]{display:none!important}
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#!/bin/python3
import numpy as np
uniform = np.random.random
from time import sleep
p = 0.6
q = 0.2
N = 10000
visits = [0, 0]
cur = 0
for i in range(N):
if cur == 0:
if uniform() < p:
cur = 1
visits[1] += 1
else:
visits[0] += 1
elif cur == 1:
if uniform() < q:
cur = 0
visits[0] += 1
else:
visits[1] += 1
#print(f"From total {N} visits:")
#print(f" {visits[0]} visits to 0")
#print(f" {visits[1]} visits to 1")
#sleep(15/1000)
n = sum(visits)
print(f"{n}/{N}")
print(f" {visits[0]/n:.4f} of the time at 0 {visits[0]} total")
print(f" {visits[1]/n:.4f} of the time at 1 {visits[1]} total")

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{
"cells": [
{
"cell_type": "markdown",
"id": "5cd9ffa9",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# The Art of Memory Loss\n",
"### and the Art of Memory Loss and [...]\n",
"#### by Dominic Zimmer"
]
},
{
"cell_type": "markdown",
"id": "4cb168bd",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<div class=\"alert alert-info\">\n",
"“Die Kunst des Gedächtnisverlustes beschäftigt sich damit, trotz großer Vergesslichkeit auf lange Sicht stets die Richtigen Antworten zu wissen.”\n",
" \n",
"— *Irgendjemand, Saarbrücken 2023*\n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "5384b59e",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<div class=\"img-row\">\n",
"<img src=\"https://cdn-icons-png.flaticon.com/256/2491/2491325.png\" />\n",
"<img src=\"https://cdn-icons-png.flaticon.com/512/3997/3997691.png\"/>\n",
"<img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/5/53/Google_%22G%22_Logo.svg/2008px-Google_%22G%22_Logo.svg.png\" />\n",
"<img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/0/04/ChatGPT_logo.svg/1024px-ChatGPT_logo.svg.png\" />\n",
"<img src=\"https://static.vecteezy.com/system/resources/previews/023/636/525/original/3d-rendering-radiation-icons-sign-caution-danger-symbol-free-png.png\" />\n",
"<img src=\"https://thegraphicsfairy.com/wp-content/uploads/2016/07/Frog-Drawing-Green-3-GraphicsFairy.jpg\" />\n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "ffc10d60",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Frösche, Wetten, Wetter und Wetterfrösche\n",
"motivierendes bildchen"
]
},
{
"cell_type": "markdown",
"id": "ab8003a9",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"TODO: 2-state beispiel\n",
"\n",
"```mermaid\n",
"stateDiagram-v2\n",
" direction lr\n",
" l --> r: p\n",
" l --> l: 1-p\n",
" r --> r: 1-q\n",
" r --> l: q\n",
"```"
]
},
{
"cell_type": "markdown",
"id": "43e49851",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Frösche\n",
"\n",
"<div class=\"alert alert-info\">\n",
" \n",
"- ein Frosch sitzt auf einer von zwei Seerosen $S = \\{l, r\\}$\n",
"- mit $p$ hüpft er von $l$ nach $r$\n",
"- mit $q$ hüpft er von $r$ nach $l$\n",
"- mit $1-p$ bzw $1-q$ bleibt er sitzen\n",
"- er beginnt auf $s_0 = l$\n",
" \n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "25a3f2ca",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<div class=\"alert alert-success\">\n",
" \n",
"Wie oft ist der Frosch im Schnitt in $l$, wie oft in $r$?\n",
"\n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "feb11fcd",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Frösche Simulieren\n",
"\n",
"<div class=\"alert alert-success\">\n",
" \n",
"Wie oft ist der Frosch im Schnitt in $l$, wie oft in $r$?\n",
"\n",
"</div>"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "f8a3a4d9",
"metadata": {
"hideCode": false,
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"uniform = np.random.random # Zufall in [0, 1]\n",
"# Kein numpy? -> from random import random as uniform\n",
"\n",
"p = 0.6 # von l nach r\n",
"q = 0.2 # von r nach l\n",
"N = 100_000 # Simulationen\n",
"\n",
"# Los geht's!"
]
},
{
"cell_type": "markdown",
"id": "68dd379a",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Frösche Simulieren"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "41017b8e",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"100000/100000\n",
" 0.2473 of the time at 0 (24735 total)\n",
" 0.7527 of the time at 1 (75265 total)\n"
]
}
],
"source": [
"visits = [0, 0]\n",
"cur = 0\n",
"for i in range(N):\n",
" if cur == 0:\n",
" if uniform() < p:\n",
" cur = 1\n",
" visits[1] += 1\n",
" else:\n",
" visits[0] += 1\n",
" elif cur == 1:\n",
" if uniform() < q:\n",
" cur = 0\n",
" visits[0] += 1\n",
" else:\n",
" visits[1] += 1\n",
"n = sum(visits)\n",
"print(f\"{n}/{N}\")\n",
"print(f\" {visits[0]/n:.4f} of the time at 0 ({visits[0]} total)\")\n",
"print(f\" {visits[1]/n:.4f} of the time at 1 ({visits[1]} total)\")\n"
]
},
{
"cell_type": "markdown",
"id": "ca2c3139",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<div class=\"alert alert-warning\">\n",
"\n",
"**Warum** ist der Frosch im Schnitt 25% in $l$ und 75% in $r$?\n",
"\n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "3840a6f7",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Frösche Analysieren\n",
"\n",
"<div class=\"alert alert-info\">\n",
" \n",
"Die Wahrscheinlichkeiten für Wechsel sind\n",
" \n",
"$P(l \\to r) = p$ und $P(r \\to l) = q$\n",
"\n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "5bf90648",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<div class=\"alert alert-success\">\n",
"\n",
"Wie können wir $P(\\text{Frosch links})$ für große $t$ vorraussagen?\n",
" \n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "57a24526",
"metadata": {
"slideshow": {
"slide_type": "fragment"
},
"tags": [
"hide_cell"
]
},
"source": [
"\n",
"| $t$ | $P(\\text{ Frosch links zu }t)$ | $P(\\text{ Frosch rechts zu }t)$ |\n",
"| -------- | -------- | -------- |\n",
"| $0$ | <span>$1$</span> | <span>$0$</span> |"
]
},
{
"cell_type": "markdown",
"id": "74e64a9a",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Frösche Analysieren\n",
"\n",
"<div class=\"alert alert-info\">\n",
" \n",
"Die Wahrscheinlichkeiten für Wechsel sind $P(l \\to r) = p$ und $P(r \\to l) = q$\n",
"\n",
"</div>\n",
"\n",
"<div class=\"alert alert-success\">\n",
"\n",
"Wie können wir $P(\\text{Frosch links})$ für große $t$ vorraussagen?\n",
" \n",
"</div>\n",
"\n",
"| $t$ | $P(\\text{ Frosch links zu }t)$ | $P(\\text{ Frosch rechts zu }t)$ |\n",
"| -------- | -------- | -------- |\n",
"| $0$ | <span>$1$</span> | <span>$0$</span> |\n",
"| <span>$1$</span> | <span>$1-p$</span> | <span>$p$</span> |\n",
"| <span>$2$</span> | <span>$(1-p)^2 + pq$</span> | <span>$p(1-p) + p(1-q)$</span>|"
]
},
{
"cell_type": "markdown",
"id": "bce42c67",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<div class=\"alert alert-info\">\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"P_{t+1}(\\text{Frosch links}) &= P_t(\\text{Frosch links}) \\cdot P(l \\to l) \\\\\n",
"& + P_t(\\text{Frosch rechts}) \\cdot P(r \\to l)\\\\\n",
"P_{t+1}(\\text{Frosch rechts}) &= P_t(\\text{Frosch rechts}) \\cdot P(r \\to r) \\\\\n",
"&+ P_t(\\text{Frosch links}) \\cdot P(l \\to r)\n",
"\\end{align*}\n",
"$$\n",
" \n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "d33a0be9",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Frösche Analysieren\n",
"\n",
"Unser Experiment zeigt für große $t$:\n",
"$$\n",
" P_{t-2}(\\text{Frosch links}) \\approx P_{t-1}(\\text{Frosch links}) \\approx P_{t}(\\text{Frosch links}) \\approx \\dots L\n",
"$$\n",
"\n",
"<div class=\"alert alert-info\">\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"P_{t+1}(\\text{Frosch links}) &= P_t(\\text{Frosch links}) \\cdot P(l \\to l) \\\\\n",
"& + P_t(\\text{Frosch rechts}) \\cdot P(r \\to l)\\\\\n",
"P_{t+1}(\\text{Frosch rechts}) &= P_t(\\text{Frosch rechts}) \\cdot P(r \\to r) \\\\\n",
"&+ P_t(\\text{Frosch links}) \\cdot P(l \\to r)\n",
"\\end{align*}\n",
"$$\n",
" \n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "85a20830",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Frösche Analysieren\n",
"\n",
"Unser Experiment zeigt für große $t$:\n",
"$$\n",
" P_{t-2}(\\text{Frosch links}) \\approx P_{t-1}(\\text{Frosch links}) \\approx P_{t}(\\text{Frosch links}) \\approx \\dots L\n",
"$$\n",
"<div class=\"alert alert-info\">\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"L &= L \\cdot P(l \\to l) + R \\cdot P(r \\to l)\\\\\n",
"R &= R \\cdot P(r \\to r) + L \\cdot P(l \\to r)\\\\\n",
"1 &= L + R\n",
"\\end{align*}\n",
"$$\n",
" \n",
"</div>\n"
]
},
{
"cell_type": "markdown",
"id": "cfa9063c",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"$$\n",
"\\begin{align*}\n",
"L &= \\frac{q}{p+q} = 25\\% \\\\\n",
"R &= \\frac{p}{p+q} = 75\\%\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "74f18541",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Mathematik und Gedächtnisverlust"
]
},
{
"cell_type": "markdown",
"id": "6af0597d",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<div class=\"alert alert-info\">\n",
" \n",
"**Definition** *(Gedächtnislosigkeit)*\n",
"\n",
"Ein Prozess ist *gedächtnislos*, wenn zu jedem Zeitpunkt seine Entscheidung nur vom aktuellen Zustand abhängt, nicht aber von dem Weg, wie der aktuelle Zustand erreicht wurde.\n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "b4507aa2",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<div class=\"alert alert-success\">\n",
" \n",
"**Beobachtung**\n",
"\n",
"Das Verhalten der Frösche ist gedächtnislos. Die Aktionen des Frosches und deren Wahrscheinlichkeiten $p$ und $1-p$ (bzw $q$ und $1-q$) hängen nur von der aktuellen Seerose ab. \n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "90451df9",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Frösche — Formell"
]
},
{
"cell_type": "markdown",
"id": "40c3b0b5",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"> Der Frosch kann auf der linken oder rechten Seerose sitzen.\n",
"\n",
"Wir modellieren die beiden Seerosen als die zwei Zustände $S = \\{L, R\\}$."
]
},
{
"cell_type": "markdown",
"id": "a034c732",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"> Zufällig hüpft er zwischen den Seerosen hin und her\n",
"\n",
"Die Zufallsvariable $X_t$ beschreibt wo der Frosch zum Zeitpunkt $t$ ist."
]
},
{
"cell_type": "markdown",
"id": "47b022ef",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Wir könnten zum Beispiel beobachten, dass\n",
"\n",
"$$\n",
"\\dots \\quad X_3 = L \\quad X_4 = L \\quad X_5 = R \\quad X_6 = L \\quad \\dots\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "1bea4ee3",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"> Am Anfang sitzt der Frosch auf der linken Seerose.\n",
"\n",
"Die Wahrscheinlichkeit $P(X_0 = L) = 1$.\n",
"\n",
"Analog ergibt sich $P(X_0 = R) = 0$."
]
},
{
"cell_type": "markdown",
"id": "aa49d253",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"> Der Frosch hüpft mit Wahrscheinlichkeit $p$ von links nach rechts\n",
"\n",
"Die Übergangswahrscheinlichkeit, dass der Frosch zum Zeitpunkt $t-1$ in $L$, und zum Zeitpunkt $t$ in $R$ ist, ist $p$.\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"&\\phantom{==}\\color{gray}{P(X_t = R \\mid X_{t-1} = L, X_{t-2} = L)}\\\\ \n",
"&=\\color{gray}{P(X_t = R \\mid X_{t-1} = L, X_{t-2} = R)}\\\\ \n",
"&= P(X_t = R \\mid X_{t-1} = L) \\\\&= p\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "49223769",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"Da die Übergangswahrscheinlichkeiten zum Zeitpunkt $t$ nur von $X_t$ abhängen, schreiben wir kurzerhand\n",
"\n",
"$$\n",
"P(X_t = R | X_{t-1} = L) = P(L \\to R) = m_{L R}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "da7c1cee",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Wir können alle Übergangswahrscheinlichkeiten $P(s \\to s')$ elegant als Matrix $M$ notieren:\n",
"\n",
"$$\n",
"M = \n",
"\\begin{pmatrix} m_{LL} & m_{LR} \\\\ m_{RL} & m_{RR}\n",
"\\end{pmatrix} = \n",
"\\begin{pmatrix} 1 - p & p \\\\ q & 1-q\n",
"\\end{pmatrix}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "9d30de72",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"ename": "SyntaxError",
"evalue": "invalid syntax (2451516634.py, line 3)",
"output_type": "error",
"traceback": [
"\u001b[0;36m Cell \u001b[0;32mIn[4], line 3\u001b[0;36m\u001b[0m\n\u001b[0;31m :::info\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n"
]
}
],
"source": [
"\n",
"## Frösche brauchen Zufall\n",
"\n",
":::info\n",
"Viele Leute werfen Münzen in den Teich der Frösche. Wir sollen einen Frosch aussuchen, der der neue Schatzmeister werden soll. Wie können wir aus den 7 Fröschen **fair** einen auswählen?\n",
":::\n",
"\n",
"**Bedingungen**:\n",
"- Jeder Frosch wird mit $\\frac{1}{7}$ ausgewählt\n",
"- Zufall nur durch die Münzen\n",
"\n",
"---\n",
"\n",
"## Frösche brauchen Zufall\n",
"\n",
"```mermaid\n",
"stateDiagram-v2\n",
" state \"&nbsp;\" as 0\n",
" state \"&nbsp;\" as 1\n",
" state \"&nbsp;\" as 2\n",
" state \"&nbsp;\" as 3\n",
" state \"&nbsp;\" as 4\n",
" state \"&nbsp;\" as 5\n",
" state \"&nbsp;\" as 6\n",
" state \"1\" as 7\n",
" state \"2\" as 8\n",
" state \"3\" as 9\n",
" state \"4\" as 10\n",
" state \"5\" as 11\n",
" state \"6\" as 12\n",
" state \"7\" as 13\n",
" state \"&nbsp;\" as 14\n",
" 0 --> 1: 0.5\n",
" 0 --> 2: 0.5\n",
" 1 --> 3: 0.5\n",
" 1 --> 4: 0.5\n",
" 2 --> 5: 0.5\n",
" 2 --> 6: 0.5\n",
" 3 --> 7: 0.5\n",
" 3 --> 8: 0.5\n",
" 4 --> 9: 0.5\n",
" 4 --> 10: 0.5\n",
" 4 --> 11: 0.5\n",
" 5 --> 12: 0.5\n",
" 6 --> 13: 0.5\n",
" 6 --> 14: 0.5\n",
" 14 --> 0: 1\n",
" 7 --> 7: 1\n",
" 8 --> 8: 1\n",
" 9 --> 9: 1\n",
" 10 --> 10: 1\n",
" 11 --> 11: 1\n",
" 12 --> 12: 1\n",
" 13 --> 13: 1\n",
"```\n",
"\n",
"---\n",
"\n",
"## Gedächtnisverlust\n",
"\n",
"- Der Frosch hüpft mit $p$ nach links und $q$ nach rechts\n",
"- Die Münze fällt gleichwahrscheinlich auf Kopf oder Zahl\n",
"\n",
"<div>\n",
" \n",
":::success\n",
"Die nächste Aktion hängt nur vom **aktuellen** Zustand ab.\n",
"Was davor geschah ist irrelevant.\n",
":::\n",
"</div> <!-- .element: class=\"fragment\" data-fragment-index=\"0\" -->\n",
"\n",
"---\n",
"\n",
"## Bissle Mathematik"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "1aa7ccc8",
"metadata": {
"hideCode": false,
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"import networkx as nx\n",
"\n",
"seed = 13648 # Seed random number generators for reproducibility\n",
"G = nx.random_k_out_graph(10, 3, 0.5, seed=seed)\n",
"pos = nx.spring_layout(G, seed=seed)\n",
"\n",
"node_sizes = [3 + 10 * i for i in range(len(G))]\n",
"M = G.number_of_edges()\n",
"edge_colors = range(2, M + 2)\n",
"edge_alphas = [(5 + i) / (M + 4) for i in range(M)]\n",
"cmap = plt.cm.plasma\n",
"\n",
"nodes = nx.draw_networkx_nodes(G, pos, node_size=node_sizes, node_color=\"indigo\")\n",
"edges = nx.draw_networkx_edges(\n",
" G,\n",
" pos,\n",
" node_size=node_sizes,\n",
" arrowstyle=\"->\",\n",
" arrowsize=10,\n",
" edge_color=edge_colors,\n",
" edge_cmap=cmap,\n",
" width=2,\n",
") \n",
"# set alpha value for each edge\n",
"for i in range(M):\n",
" edges[i].set_alpha(edge_alphas[i])\n",
"\n",
"pc = mpl.collections.PatchCollection(edges, cmap=cmap)\n",
"pc.set_array(edge_colors)\n",
"\n",
"ax = plt.gca()\n",
"ax.set_axis_off()\n",
"plt.colorbar(pc, ax=ax)\n",
"plt.show()"
]
}
],
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
}

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{
"cells": [
{
"cell_type": "markdown",
"id": "5cd9ffa9",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# The Art of Memory Loss\n",
"### and the Art of Memory Loss and [...]\n",
"#### by Dominic Zimmer"
]
},
{
"cell_type": "markdown",
"id": "4cb168bd",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<div class=\"alert alert-info\">\n",
"“Die Kunst des Gedächtnisverlustes beschäftigt sich damit, trotz großer Vergesslichkeit auf lange Sicht stets die Richtigen Antworten zu wissen.”\n",
" \n",
"— *Irgendjemand, Saarbrücken 2023*\n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "5384b59e",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<div class=\"img-row\">\n",
"<img src=\"https://cdn-icons-png.flaticon.com/256/2491/2491325.png\" />\n",
"<img src=\"https://cdn-icons-png.flaticon.com/512/3997/3997691.png\"/>\n",
"<img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/5/53/Google_%22G%22_Logo.svg/2008px-Google_%22G%22_Logo.svg.png\" />\n",
"<img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/0/04/ChatGPT_logo.svg/1024px-ChatGPT_logo.svg.png\" />\n",
"<img src=\"https://static.vecteezy.com/system/resources/previews/023/636/525/original/3d-rendering-radiation-icons-sign-caution-danger-symbol-free-png.png\" />\n",
"<img src=\"https://thegraphicsfairy.com/wp-content/uploads/2016/07/Frog-Drawing-Green-3-GraphicsFairy.jpg\" />\n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "ffc10d60",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Frösche, Wetten, Wetter und Wetterfrösche\n",
"motivierendes bildchen"
]
},
{
"cell_type": "markdown",
"id": "ab8003a9",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"TODO: 2-state beispiel\n",
"\n",
"```mermaid\n",
"stateDiagram-v2\n",
" direction lr\n",
" l --> r: p\n",
" l --> l: 1-p\n",
" r --> r: 1-q\n",
" r --> l: q\n",
"```"
]
},
{
"cell_type": "markdown",
"id": "43e49851",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Frösche\n",
"\n",
"<div class=\"alert alert-info\">\n",
" \n",
"- ein Frosch sitzt auf einer von zwei Seerosen $S = \\{l, r\\}$\n",
"- mit $p$ hüpft er von $l$ nach $r$\n",
"- mit $q$ hüpft er von $r$ nach $l$\n",
"- mit $1-p$ bzw $1-q$ bleibt er sitzen\n",
"- er beginnt auf $s_0 = l$\n",
" \n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "25a3f2ca",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<div class=\"alert alert-success\">\n",
" \n",
"Wie oft ist der Frosch im Schnitt in $l$, wie oft in $r$?\n",
"\n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "feb11fcd",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Frösche Simulieren"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "f8a3a4d9",
"metadata": {
"hideCode": false,
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"uniform = np.random.random # Zufall in [0, 1]\n",
"# Kein numpy? -> from random import random as uniform\n",
"\n",
"p = 0.6 # von l nach r\n",
"q = 0.2 # von r nach l\n",
"N = 100_000 # Simulationen\n",
"\n",
"# Los geht's!"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "41017b8e",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"100000/100000\n",
" 0.2495 of the time at 0 (24945 total)\n",
" 0.7506 of the time at 1 (75055 total)\n"
]
}
],
"source": [
"visits = [0, 0]\n",
"cur = 0\n",
"for i in range(N):\n",
" if cur == 0:\n",
" if uniform() < p:\n",
" cur = 1\n",
" visits[1] += 1\n",
" else:\n",
" visits[0] += 1\n",
" elif cur == 1:\n",
" if uniform() < q:\n",
" cur = 0\n",
" visits[0] += 1\n",
" else:\n",
" visits[1] += 1\n",
"n = sum(visits)\n",
"print(f\"{n}/{N}\")\n",
"print(f\" {visits[0]/n:.4f} of the time at 0 ({visits[0]} total)\")\n",
"print(f\" {visits[1]/n:.4f} of the time at 1 ({visits[1]} total)\")\n"
]
},
{
"cell_type": "markdown",
"id": "ca2c3139",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<div class=\"alert alert-warning\">\n",
"\n",
"**Warum** ist der Frosch im Schnitt 25% in $l$ und 75% in $r$?\n",
"\n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "3840a6f7",
"metadata": {
"slideshow": {
"slide_type": "subslide"
},
"tags": [
"hide_cell"
]
},
"source": [
"## Frösche Analysieren\n",
"\n",
"<div class=\"alert alert-info\">\n",
" \n",
"Die Wahrscheinlichkeiten für Wechsel sind\n",
" \n",
"$P(l \\to r) = p$ und $P(r \\to l) = q$\n",
"\n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "5bf90648",
"metadata": {
"slideshow": {
"slide_type": "fragment"
},
"tags": [
"hide_cell"
]
},
"source": [
"<div class=\"alert alert-success\">\n",
"\n",
"Wie können wir $P(\\text{Frosch links})$ für große $t$ vorraussagen?\n",
" \n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "57a24526",
"metadata": {
"slideshow": {
"slide_type": "fragment"
},
"tags": [
"hide_cell"
]
},
"source": [
"\n",
"| $t$ | $P(\\text{ Frosch links zu }t)$ | $P(\\text{ Frosch rechts zu }t)$ |\n",
"| -------- | -------- | -------- |\n",
"| $0$ | <span>$1$</span> | <span>$0$</span> |"
]
},
{
"cell_type": "markdown",
"id": "74e64a9a",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Frösche Analysieren\n",
"\n",
"<div class=\"alert alert-info\">\n",
" \n",
"Die Wahrscheinlichkeiten für Wechsel sind $P(l \\to r) = p$ und $P(r \\to l) = q$\n",
"\n",
"</div>\n",
"\n",
"<div class=\"alert alert-success\">\n",
"\n",
"Wie können wir $P(\\text{Frosch links})$ für große $t$ vorraussagen?\n",
" \n",
"</div>\n",
"\n",
"| $t$ | $P(\\text{ Frosch links zu }t)$ | $P(\\text{ Frosch rechts zu }t)$ |\n",
"| -------- | -------- | -------- |\n",
"| $0$ | <span>$1$</span> | <span>$0$</span> |\n",
"| <span>$1$</span> | <span>$1-p$</span> | <span>$p$</span> |\n",
"| <span>$2$</span> | <span>$(1-p)^2 + pq$</span> | <span>$p(1-p) + p(1-q)$</span>|"
]
},
{
"cell_type": "markdown",
"id": "bce42c67",
"metadata": {
"slideshow": {
"slide_type": "fragment"
},
"tags": [
"hide_cell"
]
},
"source": [
"<div class=\"alert alert-info\">\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"P_{t+1}(\\text{Frosch links}) &= P_t(\\text{Frosch links}) \\cdot P(l \\to l) \\\\\n",
"& + P_t(\\text{Frosch rechts}) \\cdot P(r \\to l)\\\\\n",
"P_{t+1}(\\text{Frosch rechts}) &= P_t(\\text{Frosch rechts}) \\cdot P(r \\to r) \\\\\n",
"&+ P_t(\\text{Frosch links}) \\cdot P(l \\to r)\n",
"\\end{align*}\n",
"$$\n",
" \n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "d33a0be9",
"metadata": {
"slideshow": {
"slide_type": "subslide"
},
"tags": [
"hide_cell"
]
},
"source": [
"## Frösche Analysieren\n",
"\n",
"Unser Experiment zeigt für große $t$:\n",
"$$\n",
" P_{t-2}(\\text{Frosch links}) \\approx P_{t-1}(\\text{Frosch links}) \\approx P_{t}(\\text{Frosch links}) \\approx \\dots L\n",
"$$\n",
"\n",
"<div class=\"alert alert-info\">\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"P_{t+1}(\\text{Frosch links}) &= P_t(\\text{Frosch links}) \\cdot P(l \\to l) \\\\\n",
"& + P_t(\\text{Frosch rechts}) \\cdot P(r \\to l)\\\\\n",
"P_{t+1}(\\text{Frosch rechts}) &= P_t(\\text{Frosch rechts}) \\cdot P(r \\to r) \\\\\n",
"&+ P_t(\\text{Frosch links}) \\cdot P(l \\to r)\n",
"\\end{align*}\n",
"$$\n",
" \n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "85a20830",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Frösche Analysieren\n",
"\n",
"Unser Experiment zeigt für große $t$:\n",
"$$\n",
" P_{t-2}(\\text{Frosch links}) \\approx P_{t-1}(\\text{Frosch links}) \\approx P_{t}(\\text{Frosch links}) \\approx \\dots L\n",
"$$\n",
"<div class=\"alert alert-info\">\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"L &= L \\cdot P(l \\to l) + R \\cdot P(r \\to l)\\\\\n",
"R &= R \\cdot P(r \\to r) + L \\cdot P(l \\to r)\\\\\n",
"1 &= L + R\n",
"\\end{align*}\n",
"$$\n",
" \n",
"</div>\n"
]
},
{
"cell_type": "markdown",
"id": "cfa9063c",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"$$\n",
"\\begin{align*}\n",
"L &= \\frac{q}{p+q} = 25\\% \\\\\n",
"R &= \\frac{p}{p+q} = 75\\%\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "74f18541",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Mathematik und Gedächtnisverlust"
]
},
{
"cell_type": "markdown",
"id": "6af0597d",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<div class=\"alert alert-info\">\n",
" \n",
"**Definition** *(Gedächtnislosigkeit)*\n",
"\n",
"Ein Prozess ist *gedächtnislos*, wenn zu jedem Zeitpunkt seine Entscheidung nur vom aktuellen Zustand abhängt, nicht aber von dem Weg, wie der aktuelle Zustand erreicht wurde.\n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "b4507aa2",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<div class=\"alert alert-success\">\n",
" \n",
"**Beobachtung**\n",
"\n",
"Das Verhalten der Frösche ist gedächtnislos. Die Aktionen des Frosches und deren Wahrscheinlichkeiten $p$ und $1-p$ (bzw $q$ und $1-q$) hängen nur von der aktuellen Seerose ab. \n",
"</div>"
]
},
{
"cell_type": "markdown",
"id": "90451df9",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Frösche — Formell"
]
},
{
"cell_type": "markdown",
"id": "40c3b0b5",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"> Der Frosch kann auf der linken oder rechten Seerose sitzen.\n",
"\n",
"Wir modellieren die beiden Seerosen als die zwei Zustände $S = \\{L, R\\}$."
]
},
{
"cell_type": "markdown",
"id": "a034c732",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"> Zufällig hüpft er zwischen den Seerosen hin und her\n",
"\n",
"Die Zufallsvariable $X_t$ beschreibt wo der Frosch zum Zeitpunkt $t$ ist."
]
},
{
"cell_type": "markdown",
"id": "47b022ef",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Wir könnten zum Beispiel beobachten, dass\n",
"\n",
"$$\n",
"\\dots \\quad X_3 = L \\quad X_4 = L \\quad X_5 = R \\quad X_6 = L \\quad \\dots\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "1bea4ee3",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"> Am Anfang sitzt der Frosch auf der linken Seerose.\n",
"\n",
"Die Wahrscheinlichkeit $P(X_0 = L) = 1$.\n",
"\n",
"Analog ergibt sich $P(X_0 = R) = 0$."
]
},
{
"cell_type": "markdown",
"id": "12dde881",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"> Der Frosch hüpft mit Wahrscheinlichkeit $p$ von links nach rechts\n",
"\n",
"Die Übergangswahrscheinlichkeit, dass der Frosch zum Zeitpunkt $t-1$ in $L$, und zum Zeitpunkt $t$ in $R$ ist, ist $p$.\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"&\\phantom{==}\\color{gray}{P(X_t = R \\mid X_{t-1} = L, X_{t-2} = L)}\\\\ \n",
"&=\\color{gray}{P(X_t = R \\mid X_{t-1} = L, X_{t-2} = R)}\\\\ \n",
"&= P(X_t = R \\mid X_{t-1} = L) \\\\&= p\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "7ded753c",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"Da die Übergangswahrscheinlichkeiten zum Zeitpunkt $t$ nur von $X_t$ abhängen, schreiben wir kurzerhand\n",
"\n",
"$$\n",
"P(X_t = R | X_{t-1} = L) = P(L \\to R) = m_{L R}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "0c8c91ad",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Wir können alle Übergangswahrscheinlichkeiten $P(s \\to s')$ elegant als Matrix $M$ notieren:\n",
"\n",
"$$\n",
"M = \n",
"\\begin{pmatrix} m_{LL} & m_{LR} \\\\ m_{RL} & m_{RR}\n",
"\\end{pmatrix} = \n",
"\\begin{pmatrix} 1 - p & p \\\\ q & 1-q\n",
"\\end{pmatrix}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "9d30de72",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"ename": "SyntaxError",
"evalue": "invalid syntax (2451516634.py, line 3)",
"output_type": "error",
"traceback": [
"\u001b[0;36m Cell \u001b[0;32mIn[4], line 3\u001b[0;36m\u001b[0m\n\u001b[0;31m :::info\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n"
]
}
],
"source": [
"\n",
"## Frösche brauchen Zufall\n",
"\n",
":::info\n",
"Viele Leute werfen Münzen in den Teich der Frösche. Wir sollen einen Frosch aussuchen, der der neue Schatzmeister werden soll. Wie können wir aus den 7 Fröschen **fair** einen auswählen?\n",
":::\n",
"\n",
"**Bedingungen**:\n",
"- Jeder Frosch wird mit $\\frac{1}{7}$ ausgewählt\n",
"- Zufall nur durch die Münzen\n",
"\n",
"---\n",
"\n",
"## Frösche brauchen Zufall\n",
"\n",
"```mermaid\n",
"stateDiagram-v2\n",
" state \"&nbsp;\" as 0\n",
" state \"&nbsp;\" as 1\n",
" state \"&nbsp;\" as 2\n",
" state \"&nbsp;\" as 3\n",
" state \"&nbsp;\" as 4\n",
" state \"&nbsp;\" as 5\n",
" state \"&nbsp;\" as 6\n",
" state \"1\" as 7\n",
" state \"2\" as 8\n",
" state \"3\" as 9\n",
" state \"4\" as 10\n",
" state \"5\" as 11\n",
" state \"6\" as 12\n",
" state \"7\" as 13\n",
" state \"&nbsp;\" as 14\n",
" 0 --> 1: 0.5\n",
" 0 --> 2: 0.5\n",
" 1 --> 3: 0.5\n",
" 1 --> 4: 0.5\n",
" 2 --> 5: 0.5\n",
" 2 --> 6: 0.5\n",
" 3 --> 7: 0.5\n",
" 3 --> 8: 0.5\n",
" 4 --> 9: 0.5\n",
" 4 --> 10: 0.5\n",
" 4 --> 11: 0.5\n",
" 5 --> 12: 0.5\n",
" 6 --> 13: 0.5\n",
" 6 --> 14: 0.5\n",
" 14 --> 0: 1\n",
" 7 --> 7: 1\n",
" 8 --> 8: 1\n",
" 9 --> 9: 1\n",
" 10 --> 10: 1\n",
" 11 --> 11: 1\n",
" 12 --> 12: 1\n",
" 13 --> 13: 1\n",
"```\n",
"\n",
"---\n",
"\n",
"## Gedächtnisverlust\n",
"\n",
"- Der Frosch hüpft mit $p$ nach links und $q$ nach rechts\n",
"- Die Münze fällt gleichwahrscheinlich auf Kopf oder Zahl\n",
"\n",
"<div>\n",
" \n",
":::success\n",
"Die nächste Aktion hängt nur vom **aktuellen** Zustand ab.\n",
"Was davor geschah ist irrelevant.\n",
":::\n",
"</div> <!-- .element: class=\"fragment\" data-fragment-index=\"0\" -->\n",
"\n",
"---\n",
"\n",
"## Bissle Mathematik"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "1aa7ccc8",
"metadata": {
"hideCode": false,
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"import networkx as nx\n",
"\n",
"seed = 13648 # Seed random number generators for reproducibility\n",
"G = nx.random_k_out_graph(10, 3, 0.5, seed=seed)\n",
"pos = nx.spring_layout(G, seed=seed)\n",
"\n",
"node_sizes = [3 + 10 * i for i in range(len(G))]\n",
"M = G.number_of_edges()\n",
"edge_colors = range(2, M + 2)\n",
"edge_alphas = [(5 + i) / (M + 4) for i in range(M)]\n",
"cmap = plt.cm.plasma\n",
"\n",
"nodes = nx.draw_networkx_nodes(G, pos, node_size=node_sizes, node_color=\"indigo\")\n",
"edges = nx.draw_networkx_edges(\n",
" G,\n",
" pos,\n",
" node_size=node_sizes,\n",
" arrowstyle=\"->\",\n",
" arrowsize=10,\n",
" edge_color=edge_colors,\n",
" edge_cmap=cmap,\n",
" width=2,\n",
") \n",
"# set alpha value for each edge\n",
"for i in range(M):\n",
" edges[i].set_alpha(edge_alphas[i])\n",
"\n",
"pc = mpl.collections.PatchCollection(edges, cmap=cmap)\n",
"pc.set_array(edge_colors)\n",
"\n",
"ax = plt.gca()\n",
"ax.set_axis_off()\n",
"plt.colorbar(pc, ax=ax)\n",
"plt.show()"
]
}
],
"metadata": {
"celltoolbar": "Edit Metadata",
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
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"codemirror_mode": {
"name": "ipython",
"version": 3
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
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display: flex;
gap: 20px;
align-items: center;
justify-content: center;
}
.img-row > img {
margin: 0;
max-height: 150px
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.mode csv
.headers on
.separator ","
.import data.csv dat
select Z, n, symbol, idx, half_life_sec, decay_1, "decay_1_%", decay_2, "decay_2_%" from dat where decay_1 <> ' ';

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z,n,symbol,idx,energy_shift,energy,unc_e,ripl_shift,jp,jp_order,half_life,operator_hl,unc_hl,unit_hl,half_life_sec,unc_hl,decay_1,decay_1_%,unc_1,decay_2,decay_2_%,unc_2,decay_3,decay_3_%,unc_3,isospin,magnetic_dipole,unc_mn,electric_quadrupole,unc_eq,ENSDF_publication_cut-off,ENSDF_authors,Extraction_date
92,146,U,0, ,0, , ,0+,1,4.468E9, ,6,Y,1.4099634525447706e17,189341555847552,A,100, ,SF,0.0000545,0.0000007, , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,1, ,44.916,0.013, ,2+,1,206, ,3,ps,0.000000000206,0.000000000003, , , , , , , , , , ,0.51, , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,2, ,148.38,0.03, ,4+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,3, ,307.18,0.08, ,6+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,4, ,518.1,0.3, ,8+,1,23, ,3,ps,0.000000000023,0.000000000003, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,5, ,680.11,0.04, ,1-,1,35, ,+19-9,fs,0.000000000000035,0.000000000000014, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,6, ,731.93,0.03, ,3-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,7, ,775.9,0.4, ,10+,1,9.0, ,10,ps,0.000000000009,0.000000000001, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,8, ,826.64,0.11, ,5-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,9, ,927.21,0.19, ,0+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,10, ,930.55,0.09, ,(1-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,11, ,950.12,0.2, ,2-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,12, ,966.13,0.04, ,2+,2,2.4, ,+17-7,ps,0.0000000000024,0.0000000000012, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,13, ,966.31,0.21, ,7-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,14, ,997.23,0.24, ,0+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,15, ,997.58,0.07, ,3-,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,16, ,1028, , ,4-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,17, ,1037.25,0.07, ,2+,3,1.13, ,12,ps,0.00000000000113,0.00000000000012, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,18, ,1056.38,0.21, ,4+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,19, ,1059.66,0.17, ,(3+),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,20, ,1060.27,0.14, ,2+,4,0.64, ,4,ps,0.00000000000064,0.00000000000004, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,21, ,1076.7,0.5, ,12+,1,4.4, ,4,ps,0.0000000000044,0.0000000000004, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,22, ,1105.71,0.07, ,3+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,23, ,1128.84,0.07, ,(2-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,24, ,1130.75,0.24, ,4+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,25, ,1135.7,0.4, , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,26, ,1150.7,0.4, ,9-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,27, ,1151, , ,6-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,28, ,1163, , ,(4+),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,29, ,1167.99,0.09, ,4+,4, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,30, ,1168.88,0.23, ,3-,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,31, ,1209.3,0.3, , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,32, ,1223.78,0.14, ,2+,5,3.5, ,4,ps,0.0000000000035,0.0000000000004, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,33, ,1232, , ,5+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,34, ,1239.3,0.2, , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,35, ,1242.9, , , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,36, ,1260.9,0.2, , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,37, ,1269.2,1, ,6+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,38, ,1278.54,0.12, ,2+,6,2.9, ,3,ps,0.0000000000029,0.0000000000003, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,39, ,1311, , ,6+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,40, ,1318, , ,8-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,41, ,1354.79,0.24, ,(1 2+),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,42, ,1375, , , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,43, ,1378.8,0.5, ,11-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,44, ,1381.19,0.09, , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,45, ,1403, , ,7+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,46, ,1414,0.6, ,2+,7,1.18, ,13,ps,0.00000000000118,0.00000000000013, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,47, ,1415.5,0.6, ,14+,1,2.55, ,20,ps,0.00000000000255,0.0000000000002, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,48, ,1446.4,0.9, ,(7-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,49, ,1455.39,0.18, , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,50, ,1482.41,0.08, , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,51, ,1504, , ,8+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,52, ,1516.5,0.2, , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,53, ,1528, , ,10-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,54, ,1530.2,0.4, ,2+,8,0.150, ,15,ps,0.00000000000015,0.000000000000015, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,55, ,1545.8,1.4, ,8+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,56, ,1561.6, , , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,57, ,1594.8,0.12, ,(4+),2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,58, ,1617.5, , , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,59, ,1619, , ,9+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,60, ,1630, , , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,61, ,1643.73,0.12, , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,62, ,1644, , ,(9-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,63, ,1645, , , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,64, ,1649.2,0.5, ,13-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,65, ,1665, , , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,66, ,1672.01,0.15, , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,67, ,1675.7,0.3, , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,68, ,1712, , , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,69, ,1741, , ,10+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,70, ,1760.9,0.4, ,(4+),3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,71, ,1774.7, , ,(3- 4 5-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,72, ,1778, , ,12-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,73, ,1782, , ,1,1,33, ,4,fs,0.000000000000033,0.000000000000004, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,74, ,1782.3,0.4, ,2+,9,0.39, ,4,ps,0.00000000000039,0.00000000000004, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,75, ,1786.7,1.5, ,10+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,76, ,1788.4,0.6, ,16+,1,1.74, ,13,ps,0.00000000000174,0.00000000000013, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,77, ,1793, , ,1,2,80, ,+40-20,fs,0.00000000000008,0.00000000000003, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,78, ,1846, , ,1,3,31, ,4,fs,0.000000000000031,0.000000000000004, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,79, ,1866, , ,(11-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,80, ,1875, , ,11+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,81, ,1934.3, , ,(3-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,82, ,1959.2,0.6, ,15-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,83, ,1992.2, , ,(3-),2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,84, ,1996.7,0.3, ,1-,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,85, ,2017.7,0.4, ,1+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,86, ,2018, , ,12+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,87, ,2033, , ,(12+),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,88, ,2048.7,1.5, ,12+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,89, ,2063.9, , ,(2-),2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,90, ,2066, , ,14-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,91, ,2079.3,0.4, ,1+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,92, ,2080.7,0.4, ,1-,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,93, ,2093.3,0.4, ,1-,4, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,94, ,2122, , ,(13-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,95, ,2125.3,0.6, ,2+,10, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,96, ,2145.6,0.3, ,1-,5, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,97, ,2163.5,0.3, , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,98, ,2171, , ,13+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,99, ,2175.8,0.3, ,1+,3,0.058, ,5,eV,0.000000000000007866167501230788,6.781178880371368e-16, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,100, ,2191.1,0.7, ,18+,1,1.18, ,11,ps,0.00000000000118,0.00000000000011, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,101, ,2208.8,0.3, ,1+,4, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,102, ,2244.4,0.3, ,1+,5,0.00142, ,3,eV,0.00000000000032129416554322935,0.000000000000006787904905842873, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,103, ,2294.1,0.3, ,1+,6,0.0040, ,5,eV,0.00000000000011405942876784643,0.000000000000014257428595980804, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,104, ,2306.7,0.7, ,17-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,105, ,2332.7,0.3, ,1-,6, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,106, ,2333, , ,14+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,107, ,2346.4,1.6, ,14+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,108, ,2356, , ,(14+),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,109, ,2365.6,0.3, ,1-,7, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,110, ,2389, , ,16-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,111, ,2410,0.3, ,1+,7,0.011, ,2,eV,0.00000000000004147615591558052,0.000000000000007541119257378277, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,112, ,2418, , ,(15-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,113, ,2422.8,0.3, ,1-,8,0.0062, ,7,eV,0.00000000000007358672823732028,0.000000000000008308178994536161, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,114, ,2467.8,0.5, ,1+,8,0.048, ,5,eV,0.000000000000009504952397320535,9.900992080542225e-16, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,115, ,2491.5,0.5, ,1-,9, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,116, ,2499.4,0.3, ,1+,9, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,117, ,2502, , ,15+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,118, ,2529,0.3, ,1-,10, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,119, ,2557.9,0.5, ,0+,4,280, ,6,ns,0.00000028,0.000000006,IT,97.4,0.4,SF,2.6,0.4, , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,120, ,2578.5,0.3, ,2+,11, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,121, ,2593.7,0.6, ,1-,11, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,122, ,2602.5,0.4, ,1-,12, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,123, ,2619.1,0.8, ,20+,1,0.91, ,8,ps,0.00000000000091,0.00000000000008, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,124, ,2624.6,0.6, ,4+,5, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,125, ,2638.3,0.3, ,1+,10, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,126, ,2645, , ,(14+),2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,127, ,2647.3,0.8, ,1+,11, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,128, ,2675.2,1.7, ,16+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,129, ,2683, , ,16+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,130, ,2689.4,0.8, ,19-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,131, ,2702.2,0.3, ,1+,12, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,132, ,2712, , ,(16+),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,133, ,2738.9,0.9, ,1+,13, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,134, ,2744, , ,18-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,135, ,2751, , ,(17-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,136, ,2756.4,0.3, ,1+,14, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,137, ,2773,0.3, ,1+,15, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,138, ,2816.8,0.4, ,1+,16, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,139, ,2844.2,0.9, ,1-,13, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,140, ,2862.2,0.5, ,1-,14, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,141, ,2868, , ,17+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,142, ,2877.1,0.3, ,1-,15, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,143, ,2881.4,0.5, ,1+,17, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,144, ,2896.6,0.3, ,1-,16, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,145, ,2908.9,0.3, ,1-,17, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,146, ,2910,0.4, ,1-,18, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,147, ,2932.6,0.6, ,1+,18, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,148, ,2951.2,0.3, ,1+,19, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,149, ,2963.9,0.8, ,1+,20, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,150, ,2991, , ,(16+),2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,151, ,3005.9,0.4, ,1-,19, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,152, ,3014.5,0.3, ,1+,21, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,153, ,3018.9,0.3, ,1-,20, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,154, ,3030.6,0.3, ,1+,22, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,155, ,3031.2,1.9, ,18+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,156, ,3037.7,0.3, ,1+,23, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,157, ,3042.5,0.6, ,1+,24, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,158, ,3043.6,0.3, ,1-,21, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,159, ,3046.9,0.3, ,1-,22, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,160, ,3051.7,0.3, ,1-,23, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,161, ,3057.1,0.4, ,1-,24, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,162, ,3060.6,0.3, ,1-,25, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,163, ,3065, , ,18+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,164, ,3068.1,0.9, ,22+,1,0.76, ,10,ps,0.00000000000076,0.0000000000001, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,165, ,3086.7,0.5, ,1-,26, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,166, ,3091,0.3, ,1-,27, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,167, ,3095, , ,(18+),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,168, ,3096.4,0.3, ,1-,28, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,169, ,3101.7,0.4, ,1-,29, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,170, ,3104.3,1.2, ,21-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,171, ,3117.7,0.4, ,1-,30, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,172, ,3120, , ,(19-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,173, ,3128, , ,20-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,174, ,3135,0.3, ,1+,25, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,175, ,3153.7,0.3, ,1+,26, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,176, ,3172.9,0.3, ,1+,27, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,177, ,3207.8,0.4, ,1-,31, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,178, ,3217.6,0.6, ,1+,28, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,179, ,3234.5,0.7, ,1+,29, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,180, ,3239.6,0.3, ,1-,32, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,181, ,3253.194,0.015, ,1-,33,0.24, ,8,ps,0.00000000000024,0.00000000000008, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,182, ,3265, , ,19+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,183, ,3274.4,0.3, ,1-,34, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,184, ,3297.2,0.4, ,1-,35, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,185, ,3303.6,0.3, ,1-,36, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,186, ,3307.32,0.03, ,1+,30, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,187, ,3329.1,0.6, ,1-,37, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,188, ,3348.33,0.03, ,1+,31, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,189, ,3366,0.5, ,1+,32, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,190, ,3368, , ,(18+),2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,191, ,3384.3,0.3, ,1-,38, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,192, ,3397.9,0.8, ,1-,39, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,193, ,3411.2,2.2, ,20+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,194, ,3416,0.4, ,1-,40, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,195, ,3421.5,0.5, ,1-,41, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,196, ,3441,0.9, ,1-,42, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,197, ,3448.3,0.6, ,1+,33, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,198, ,3454.1,0.4, ,1-,43, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,199, ,3460.7,0.3, ,1+,34, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,200, ,3467.8,0.6, ,1-,44, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,201, ,3470.7,0.3, ,1-,45, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,202, ,3474, , ,20+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,203, ,3475.2,0.3, ,1-,46, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,204, ,3479,0.3, ,1-,47, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,205, ,3489,0.3, ,1-,48, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,206, ,3500.5,0.3, ,1-,49, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,207, ,3502, , ,(20+),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,208, ,3509.1,0.9, ,1-,50, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,209, ,3521, , ,(21-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,210, ,3528,0.4, ,1-,51, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,211, ,3535.3,1.2, ,24+,1,0.51, ,8,ps,0.00000000000051,0.00000000000008, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,212, ,3538, , ,22-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,213, ,3547.7,1.3, ,23-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,214, ,3548,0.6, ,1-,52, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,215, ,3562.8,0.3, ,1-,53, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,216, ,3594.9,0.5, ,1-,54, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,217, ,3608.7,0.3, ,1-,55, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,218, ,3615.9,0.3, ,1-,56, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,219, ,3623.9,0.3, ,1-,57, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,220, ,3640.1,0.3, ,1-,58, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,221, ,3650.5,0.3, ,1-,59, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,222, ,3659.7,0.6, ,1-,60, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,223, ,3673.7,0.6, ,1-,61, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,224, ,3686, , ,21+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,225, ,3728,0.9, ,1-,62, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,226, ,3738.5,0.8, ,1-,63, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,227, ,3759.9,0.3, ,1-,64, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,228, ,3773, , ,(20+),2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,229, ,3805.1,0.3, ,1-,65, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,230, ,3809, , ,(1 2+),2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,231, ,3811.2,2.4, ,22+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,232, ,3819,0.6, ,1-,66, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,233, ,3828.7,0.3, ,1-,67, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,234, ,3906, , ,22+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,235, ,3947, , ,(23-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,236, ,3965.7,0.4, ,1-,68, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,237, ,3971, , ,24-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,238, ,3990.7,0.9, ,1-,69, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,239, ,3995.8,0.3, ,1-,70, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,240, ,4017, , ,25-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,241, ,4018.1,1.6, ,26+,1,0.40, ,7,ps,0.0000000000004,0.00000000000007, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,242, ,4023.7,0.7, ,1-,71, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,243, ,4031.4,0.7, ,1-,72, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,244, ,4046.7,0.3, ,1-,73, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,245, ,4065.3,0.3, ,1-,74, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,246, ,4072.1,0.6, ,1-,75, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,247, ,4088.9,0.7, ,1-,76, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,248, ,4093.4,0.3, ,1-,77, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,249, ,4100.2,0.3, ,1-,78, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,250, ,4105.2,0.3, ,1-,79, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,251, ,4122.9,0.5, ,1-,80, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,252, ,4127, , ,23+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,253, ,4138.9,0.7, ,1-,81, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,254, ,4145.8,0.3, ,1-,82, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,255, ,4151.3,0.6, ,1-,83, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,256, ,4155.4,0.3, ,1-,84, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,257, ,4175.8,0.4, ,1-,85, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,258, ,4181.5,0.7, ,1-,86, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,259, ,4205, , ,(22+),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,260, ,4217.3,0.8, ,1-,87, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,261, ,4232,3, ,24+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,262, ,4239.1,0.3, ,1-,88, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,263, ,4358, , ,24+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,264, ,4393, , ,(25-),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,265, ,4424, , ,26-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,266, ,4495, , ,(1 2+),3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,267, ,4504, , ,27-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,268, ,4517, , ,28+,1,0.36, ,9,ps,0.00000000000036,0.00000000000009, , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,269, ,4586, , ,25+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,270, ,4592, , ,(1 2+),4, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,271, ,4677,3, ,26+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,272, ,4807, , ,(1),1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,273, ,4825, , ,26+,3, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,274, ,4895, , ,28-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,275, ,5003, , ,29-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,276, ,5035.1,2.1, ,30+,1,0.9,LT, ,ps,0.0000000000009, , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,277, ,5063, , ,27+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,278, ,5140, , , , , , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,279, ,5144,3, ,28+,2, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,280, ,5206, , ,(1 2+),5, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,281, ,5513, , ,31-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,282, ,5581,3, ,32+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,283, ,6037,3, ,33-,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
92,146,U,284, ,6146,4, ,34+,1, , , , , , , , , , , , , , , , , , , , ,1-Jun-2014,E. BROWNE and J. K. TULI,2023-05-17
1 z n symbol idx energy_shift energy unc_e ripl_shift jp jp_order half_life operator_hl unc_hl unit_hl half_life_sec unc_hl decay_1 decay_1_% unc_1 decay_2 decay_2_% unc_2 decay_3 decay_3_% unc_3 isospin magnetic_dipole unc_mn electric_quadrupole unc_eq ENSDF_publication_cut-off ENSDF_authors Extraction_date
2 92 146 U 0 0 0+ 1 4.468E9 6 Y 1.4099634525447706e17 189341555847552 A 100 SF 0.0000545 0.0000007 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
3 92 146 U 1 44.916 0.013 2+ 1 206 3 ps 0.000000000206 0.000000000003 0.51 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
4 92 146 U 2 148.38 0.03 4+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
5 92 146 U 3 307.18 0.08 6+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
6 92 146 U 4 518.1 0.3 8+ 1 23 3 ps 0.000000000023 0.000000000003 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
7 92 146 U 5 680.11 0.04 1- 1 35 +19-9 fs 0.000000000000035 0.000000000000014 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
8 92 146 U 6 731.93 0.03 3- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
9 92 146 U 7 775.9 0.4 10+ 1 9.0 10 ps 0.000000000009 0.000000000001 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
10 92 146 U 8 826.64 0.11 5- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
11 92 146 U 9 927.21 0.19 0+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
12 92 146 U 10 930.55 0.09 (1-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
13 92 146 U 11 950.12 0.2 2- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
14 92 146 U 12 966.13 0.04 2+ 2 2.4 +17-7 ps 0.0000000000024 0.0000000000012 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
15 92 146 U 13 966.31 0.21 7- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
16 92 146 U 14 997.23 0.24 0+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
17 92 146 U 15 997.58 0.07 3- 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
18 92 146 U 16 1028 4- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
19 92 146 U 17 1037.25 0.07 2+ 3 1.13 12 ps 0.00000000000113 0.00000000000012 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
20 92 146 U 18 1056.38 0.21 4+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
21 92 146 U 19 1059.66 0.17 (3+) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
22 92 146 U 20 1060.27 0.14 2+ 4 0.64 4 ps 0.00000000000064 0.00000000000004 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
23 92 146 U 21 1076.7 0.5 12+ 1 4.4 4 ps 0.0000000000044 0.0000000000004 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
24 92 146 U 22 1105.71 0.07 3+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
25 92 146 U 23 1128.84 0.07 (2-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
26 92 146 U 24 1130.75 0.24 4+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
27 92 146 U 25 1135.7 0.4 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
28 92 146 U 26 1150.7 0.4 9- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
29 92 146 U 27 1151 6- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
30 92 146 U 28 1163 (4+) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
31 92 146 U 29 1167.99 0.09 4+ 4 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
32 92 146 U 30 1168.88 0.23 3- 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
33 92 146 U 31 1209.3 0.3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
34 92 146 U 32 1223.78 0.14 2+ 5 3.5 4 ps 0.0000000000035 0.0000000000004 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
35 92 146 U 33 1232 5+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
36 92 146 U 34 1239.3 0.2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
37 92 146 U 35 1242.9 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
38 92 146 U 36 1260.9 0.2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
39 92 146 U 37 1269.2 1 6+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
40 92 146 U 38 1278.54 0.12 2+ 6 2.9 3 ps 0.0000000000029 0.0000000000003 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
41 92 146 U 39 1311 6+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
42 92 146 U 40 1318 8- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
43 92 146 U 41 1354.79 0.24 (1 2+) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
44 92 146 U 42 1375 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
45 92 146 U 43 1378.8 0.5 11- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
46 92 146 U 44 1381.19 0.09 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
47 92 146 U 45 1403 7+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
48 92 146 U 46 1414 0.6 2+ 7 1.18 13 ps 0.00000000000118 0.00000000000013 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
49 92 146 U 47 1415.5 0.6 14+ 1 2.55 20 ps 0.00000000000255 0.0000000000002 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
50 92 146 U 48 1446.4 0.9 (7-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
51 92 146 U 49 1455.39 0.18 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
52 92 146 U 50 1482.41 0.08 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
53 92 146 U 51 1504 8+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
54 92 146 U 52 1516.5 0.2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
55 92 146 U 53 1528 10- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
56 92 146 U 54 1530.2 0.4 2+ 8 0.150 15 ps 0.00000000000015 0.000000000000015 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
57 92 146 U 55 1545.8 1.4 8+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
58 92 146 U 56 1561.6 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
59 92 146 U 57 1594.8 0.12 (4+) 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
60 92 146 U 58 1617.5 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
61 92 146 U 59 1619 9+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
62 92 146 U 60 1630 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
63 92 146 U 61 1643.73 0.12 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
64 92 146 U 62 1644 (9-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
65 92 146 U 63 1645 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
66 92 146 U 64 1649.2 0.5 13- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
67 92 146 U 65 1665 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
68 92 146 U 66 1672.01 0.15 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
69 92 146 U 67 1675.7 0.3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
70 92 146 U 68 1712 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
71 92 146 U 69 1741 10+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
72 92 146 U 70 1760.9 0.4 (4+) 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
73 92 146 U 71 1774.7 (3- 4 5-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
74 92 146 U 72 1778 12- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
75 92 146 U 73 1782 1 1 33 4 fs 0.000000000000033 0.000000000000004 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
76 92 146 U 74 1782.3 0.4 2+ 9 0.39 4 ps 0.00000000000039 0.00000000000004 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
77 92 146 U 75 1786.7 1.5 10+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
78 92 146 U 76 1788.4 0.6 16+ 1 1.74 13 ps 0.00000000000174 0.00000000000013 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
79 92 146 U 77 1793 1 2 80 +40-20 fs 0.00000000000008 0.00000000000003 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
80 92 146 U 78 1846 1 3 31 4 fs 0.000000000000031 0.000000000000004 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
81 92 146 U 79 1866 (11-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
82 92 146 U 80 1875 11+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
83 92 146 U 81 1934.3 (3-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
84 92 146 U 82 1959.2 0.6 15- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
85 92 146 U 83 1992.2 (3-) 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
86 92 146 U 84 1996.7 0.3 1- 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
87 92 146 U 85 2017.7 0.4 1+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
88 92 146 U 86 2018 12+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
89 92 146 U 87 2033 (12+) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
90 92 146 U 88 2048.7 1.5 12+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
91 92 146 U 89 2063.9 (2-) 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
92 92 146 U 90 2066 14- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
93 92 146 U 91 2079.3 0.4 1+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
94 92 146 U 92 2080.7 0.4 1- 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
95 92 146 U 93 2093.3 0.4 1- 4 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
96 92 146 U 94 2122 (13-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
97 92 146 U 95 2125.3 0.6 2+ 10 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
98 92 146 U 96 2145.6 0.3 1- 5 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
99 92 146 U 97 2163.5 0.3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
100 92 146 U 98 2171 13+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
101 92 146 U 99 2175.8 0.3 1+ 3 0.058 5 eV 0.000000000000007866167501230788 6.781178880371368e-16 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
102 92 146 U 100 2191.1 0.7 18+ 1 1.18 11 ps 0.00000000000118 0.00000000000011 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
103 92 146 U 101 2208.8 0.3 1+ 4 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
104 92 146 U 102 2244.4 0.3 1+ 5 0.00142 3 eV 0.00000000000032129416554322935 0.000000000000006787904905842873 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
105 92 146 U 103 2294.1 0.3 1+ 6 0.0040 5 eV 0.00000000000011405942876784643 0.000000000000014257428595980804 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
106 92 146 U 104 2306.7 0.7 17- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
107 92 146 U 105 2332.7 0.3 1- 6 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
108 92 146 U 106 2333 14+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
109 92 146 U 107 2346.4 1.6 14+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
110 92 146 U 108 2356 (14+) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
111 92 146 U 109 2365.6 0.3 1- 7 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
112 92 146 U 110 2389 16- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
113 92 146 U 111 2410 0.3 1+ 7 0.011 2 eV 0.00000000000004147615591558052 0.000000000000007541119257378277 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
114 92 146 U 112 2418 (15-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
115 92 146 U 113 2422.8 0.3 1- 8 0.0062 7 eV 0.00000000000007358672823732028 0.000000000000008308178994536161 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
116 92 146 U 114 2467.8 0.5 1+ 8 0.048 5 eV 0.000000000000009504952397320535 9.900992080542225e-16 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
117 92 146 U 115 2491.5 0.5 1- 9 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
118 92 146 U 116 2499.4 0.3 1+ 9 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
119 92 146 U 117 2502 15+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
120 92 146 U 118 2529 0.3 1- 10 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
121 92 146 U 119 2557.9 0.5 0+ 4 280 6 ns 0.00000028 0.000000006 IT 97.4 0.4 SF 2.6 0.4 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
122 92 146 U 120 2578.5 0.3 2+ 11 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
123 92 146 U 121 2593.7 0.6 1- 11 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
124 92 146 U 122 2602.5 0.4 1- 12 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
125 92 146 U 123 2619.1 0.8 20+ 1 0.91 8 ps 0.00000000000091 0.00000000000008 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
126 92 146 U 124 2624.6 0.6 4+ 5 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
127 92 146 U 125 2638.3 0.3 1+ 10 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
128 92 146 U 126 2645 (14+) 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
129 92 146 U 127 2647.3 0.8 1+ 11 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
130 92 146 U 128 2675.2 1.7 16+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
131 92 146 U 129 2683 16+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
132 92 146 U 130 2689.4 0.8 19- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
133 92 146 U 131 2702.2 0.3 1+ 12 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
134 92 146 U 132 2712 (16+) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
135 92 146 U 133 2738.9 0.9 1+ 13 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
136 92 146 U 134 2744 18- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
137 92 146 U 135 2751 (17-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
138 92 146 U 136 2756.4 0.3 1+ 14 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
139 92 146 U 137 2773 0.3 1+ 15 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
140 92 146 U 138 2816.8 0.4 1+ 16 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
141 92 146 U 139 2844.2 0.9 1- 13 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
142 92 146 U 140 2862.2 0.5 1- 14 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
143 92 146 U 141 2868 17+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
144 92 146 U 142 2877.1 0.3 1- 15 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
145 92 146 U 143 2881.4 0.5 1+ 17 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
146 92 146 U 144 2896.6 0.3 1- 16 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
147 92 146 U 145 2908.9 0.3 1- 17 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
148 92 146 U 146 2910 0.4 1- 18 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
149 92 146 U 147 2932.6 0.6 1+ 18 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
150 92 146 U 148 2951.2 0.3 1+ 19 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
151 92 146 U 149 2963.9 0.8 1+ 20 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
152 92 146 U 150 2991 (16+) 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
153 92 146 U 151 3005.9 0.4 1- 19 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
154 92 146 U 152 3014.5 0.3 1+ 21 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
155 92 146 U 153 3018.9 0.3 1- 20 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
156 92 146 U 154 3030.6 0.3 1+ 22 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
157 92 146 U 155 3031.2 1.9 18+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
158 92 146 U 156 3037.7 0.3 1+ 23 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
159 92 146 U 157 3042.5 0.6 1+ 24 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
160 92 146 U 158 3043.6 0.3 1- 21 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
161 92 146 U 159 3046.9 0.3 1- 22 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
162 92 146 U 160 3051.7 0.3 1- 23 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
163 92 146 U 161 3057.1 0.4 1- 24 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
164 92 146 U 162 3060.6 0.3 1- 25 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
165 92 146 U 163 3065 18+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
166 92 146 U 164 3068.1 0.9 22+ 1 0.76 10 ps 0.00000000000076 0.0000000000001 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
167 92 146 U 165 3086.7 0.5 1- 26 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
168 92 146 U 166 3091 0.3 1- 27 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
169 92 146 U 167 3095 (18+) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
170 92 146 U 168 3096.4 0.3 1- 28 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
171 92 146 U 169 3101.7 0.4 1- 29 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
172 92 146 U 170 3104.3 1.2 21- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
173 92 146 U 171 3117.7 0.4 1- 30 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
174 92 146 U 172 3120 (19-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
175 92 146 U 173 3128 20- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
176 92 146 U 174 3135 0.3 1+ 25 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
177 92 146 U 175 3153.7 0.3 1+ 26 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
178 92 146 U 176 3172.9 0.3 1+ 27 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
179 92 146 U 177 3207.8 0.4 1- 31 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
180 92 146 U 178 3217.6 0.6 1+ 28 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
181 92 146 U 179 3234.5 0.7 1+ 29 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
182 92 146 U 180 3239.6 0.3 1- 32 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
183 92 146 U 181 3253.194 0.015 1- 33 0.24 8 ps 0.00000000000024 0.00000000000008 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
184 92 146 U 182 3265 19+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
185 92 146 U 183 3274.4 0.3 1- 34 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
186 92 146 U 184 3297.2 0.4 1- 35 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
187 92 146 U 185 3303.6 0.3 1- 36 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
188 92 146 U 186 3307.32 0.03 1+ 30 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
189 92 146 U 187 3329.1 0.6 1- 37 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
190 92 146 U 188 3348.33 0.03 1+ 31 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
191 92 146 U 189 3366 0.5 1+ 32 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
192 92 146 U 190 3368 (18+) 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
193 92 146 U 191 3384.3 0.3 1- 38 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
194 92 146 U 192 3397.9 0.8 1- 39 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
195 92 146 U 193 3411.2 2.2 20+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
196 92 146 U 194 3416 0.4 1- 40 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
197 92 146 U 195 3421.5 0.5 1- 41 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
198 92 146 U 196 3441 0.9 1- 42 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
199 92 146 U 197 3448.3 0.6 1+ 33 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
200 92 146 U 198 3454.1 0.4 1- 43 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
201 92 146 U 199 3460.7 0.3 1+ 34 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
202 92 146 U 200 3467.8 0.6 1- 44 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
203 92 146 U 201 3470.7 0.3 1- 45 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
204 92 146 U 202 3474 20+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
205 92 146 U 203 3475.2 0.3 1- 46 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
206 92 146 U 204 3479 0.3 1- 47 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
207 92 146 U 205 3489 0.3 1- 48 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
208 92 146 U 206 3500.5 0.3 1- 49 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
209 92 146 U 207 3502 (20+) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
210 92 146 U 208 3509.1 0.9 1- 50 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
211 92 146 U 209 3521 (21-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
212 92 146 U 210 3528 0.4 1- 51 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
213 92 146 U 211 3535.3 1.2 24+ 1 0.51 8 ps 0.00000000000051 0.00000000000008 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
214 92 146 U 212 3538 22- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
215 92 146 U 213 3547.7 1.3 23- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
216 92 146 U 214 3548 0.6 1- 52 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
217 92 146 U 215 3562.8 0.3 1- 53 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
218 92 146 U 216 3594.9 0.5 1- 54 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
219 92 146 U 217 3608.7 0.3 1- 55 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
220 92 146 U 218 3615.9 0.3 1- 56 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
221 92 146 U 219 3623.9 0.3 1- 57 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
222 92 146 U 220 3640.1 0.3 1- 58 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
223 92 146 U 221 3650.5 0.3 1- 59 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
224 92 146 U 222 3659.7 0.6 1- 60 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
225 92 146 U 223 3673.7 0.6 1- 61 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
226 92 146 U 224 3686 21+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
227 92 146 U 225 3728 0.9 1- 62 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
228 92 146 U 226 3738.5 0.8 1- 63 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
229 92 146 U 227 3759.9 0.3 1- 64 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
230 92 146 U 228 3773 (20+) 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
231 92 146 U 229 3805.1 0.3 1- 65 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
232 92 146 U 230 3809 (1 2+) 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
233 92 146 U 231 3811.2 2.4 22+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
234 92 146 U 232 3819 0.6 1- 66 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
235 92 146 U 233 3828.7 0.3 1- 67 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
236 92 146 U 234 3906 22+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
237 92 146 U 235 3947 (23-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
238 92 146 U 236 3965.7 0.4 1- 68 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
239 92 146 U 237 3971 24- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
240 92 146 U 238 3990.7 0.9 1- 69 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
241 92 146 U 239 3995.8 0.3 1- 70 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
242 92 146 U 240 4017 25- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
243 92 146 U 241 4018.1 1.6 26+ 1 0.40 7 ps 0.0000000000004 0.00000000000007 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
244 92 146 U 242 4023.7 0.7 1- 71 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
245 92 146 U 243 4031.4 0.7 1- 72 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
246 92 146 U 244 4046.7 0.3 1- 73 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
247 92 146 U 245 4065.3 0.3 1- 74 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
248 92 146 U 246 4072.1 0.6 1- 75 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
249 92 146 U 247 4088.9 0.7 1- 76 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
250 92 146 U 248 4093.4 0.3 1- 77 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
251 92 146 U 249 4100.2 0.3 1- 78 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
252 92 146 U 250 4105.2 0.3 1- 79 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
253 92 146 U 251 4122.9 0.5 1- 80 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
254 92 146 U 252 4127 23+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
255 92 146 U 253 4138.9 0.7 1- 81 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
256 92 146 U 254 4145.8 0.3 1- 82 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
257 92 146 U 255 4151.3 0.6 1- 83 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
258 92 146 U 256 4155.4 0.3 1- 84 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
259 92 146 U 257 4175.8 0.4 1- 85 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
260 92 146 U 258 4181.5 0.7 1- 86 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
261 92 146 U 259 4205 (22+) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
262 92 146 U 260 4217.3 0.8 1- 87 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
263 92 146 U 261 4232 3 24+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
264 92 146 U 262 4239.1 0.3 1- 88 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
265 92 146 U 263 4358 24+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
266 92 146 U 264 4393 (25-) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
267 92 146 U 265 4424 26- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
268 92 146 U 266 4495 (1 2+) 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
269 92 146 U 267 4504 27- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
270 92 146 U 268 4517 28+ 1 0.36 9 ps 0.00000000000036 0.00000000000009 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
271 92 146 U 269 4586 25+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
272 92 146 U 270 4592 (1 2+) 4 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
273 92 146 U 271 4677 3 26+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
274 92 146 U 272 4807 (1) 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
275 92 146 U 273 4825 26+ 3 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
276 92 146 U 274 4895 28- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
277 92 146 U 275 5003 29- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
278 92 146 U 276 5035.1 2.1 30+ 1 0.9 LT ps 0.0000000000009 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
279 92 146 U 277 5063 27+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
280 92 146 U 278 5140 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
281 92 146 U 279 5144 3 28+ 2 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
282 92 146 U 280 5206 (1 2+) 5 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
283 92 146 U 281 5513 31- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
284 92 146 U 282 5581 3 32+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
285 92 146 U 283 6037 3 33- 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17
286 92 146 U 284 6146 4 34+ 1 1-Jun-2014 E. BROWNE and J. K. TULI 2023-05-17