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t,i,o,a;if(r)for(i=0,o=b(this),a=yt(e);t=a[i++];)o.hasClass(t)?o.removeClass(t):o.addClass(t);else void 0!==e&&\"boolean\"!==n||((t=vt(this))&&G.set(this,\"__className__\",t),this.setAttribute&&this.setAttribute(\"class\",t||!1===e?\"\":G.get(this,\"__className__\")||\"\"))}))},hasClass:function(e){var t,n,r=0;for(t=\" \"+e+\" \";n=this[r++];)if(1===n.nodeType&&(\" \"+gt(vt(n))+\" \").indexOf(t)>-1)return!0;return!1}});var mt=/\\r/g;b.fn.extend({val:function(e){var t,n,r,i=this[0];return arguments.length?(r=h(e),this.each((function(n){var i;1===this.nodeType&&(null==(i=r?e.call(this,n,b(this).val()):e)?i=\"\":\"number\"==typeof i?i+=\"\":Array.isArray(i)&&(i=b.map(i,(function(e){return null==e?\"\":e+\"\"}))),(t=b.valHooks[this.type]||b.valHooks[this.nodeName.toLowerCase()])&&\"set\"in t&&void 0!==t.set(this,i,\"value\")||(this.value=i))}))):i?(t=b.valHooks[i.type]||b.valHooks[i.nodeName.toLowerCase()])&&\"get\"in t&&void 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o,a,s,u,l,f,p,d,y=[r||v],m=c.call(t,\"type\")?t.type:t,x=c.call(t,\"namespace\")?t.namespace.split(\".\"):[];if(a=d=s=r=r||v,3!==r.nodeType&&8!==r.nodeType&&!xt.test(m+b.event.triggered)&&(m.indexOf(\".\")>-1&&(x=m.split(\".\"),m=x.shift(),x.sort()),l=m.indexOf(\":\")<0&&\"on\"+m,(t=t[b.expando]?t:new b.Event(m,\"object\"==typeof t&&t)).isTrigger=i?2:3,t.namespace=x.join(\".\"),t.rnamespace=t.namespace?new RegExp(\"(^|\\\\.)\"+x.join(\"\\\\.(?:.*\\\\.|)\")+\"(\\\\.|$)\"):null,t.result=void 0,t.target||(t.target=r),n=null==n?[t]:b.makeArray(n,[t]),p=b.event.special[m]||{},i||!p.trigger||!1!==p.trigger.apply(r,n))){if(!i&&!p.noBubble&&!g(r)){for(u=p.delegateType||m,xt.test(u+m)||(a=a.parentNode);a;a=a.parentNode)y.push(a),s=a;s===(r.ownerDocument||v)&&y.push(s.defaultView||s.parentWindow||e)}for(o=0;(a=y[o++])&&!t.isPropagationStopped();)d=a,t.type=o>1?u:p.bindType||m,(f=(G.get(a,\"events\")||Object.create(null))[t.type]&&G.get(a,\"handle\"))&&f.apply(a,n),(f=l&&a[l])&&f.apply&&X(a)&&(t.result=f.apply(a,n),!1===t.result&&t.preventDefault());return t.type=m,i||t.isDefaultPrevented()||p._default&&!1!==p._default.apply(y.pop(),n)||!X(r)||l&&h(r[m])&&!g(r)&&((s=r[l])&&(r[l]=null),b.event.triggered=m,t.isPropagationStopped()&&d.addEventListener(m,bt),r[m](),t.isPropagationStopped()&&d.removeEventListener(m,bt),b.event.triggered=void 0,s&&(r[l]=s)),t.result}},simulate:function(e,t,n){var r=b.extend(new b.Event,n,{type:e,isSimulated:!0});b.event.trigger(r,null,t)}}),b.fn.extend({trigger:function(e,t){return this.each((function(){b.event.trigger(e,t,this)}))},triggerHandler:function(e,t){var n=this[0];if(n)return b.event.trigger(e,t,n,!0)}}),d.focusin||b.each({focus:\"focusin\",blur:\"focusout\"},(function(e,t){var n=function(e){b.event.simulate(t,e.target,b.event.fix(e))};b.event.special[t]={setup:function(){var r=this.ownerDocument||this.document||this,i=G.access(r,t);i||r.addEventListener(e,n,!0),G.access(r,t,(i||0)+1)},teardown:function(){var r=this.ownerDocument||this.document||this,i=G.access(r,t)-1;i?G.access(r,t,i):(r.removeEventListener(e,n,!0),G.remove(r,t))}}}));var wt=e.location,Tt={guid:Date.now()},Ct=/\\?/;b.parseXML=function(t){var n;if(!t||\"string\"!=typeof t)return null;try{n=(new e.DOMParser).parseFromString(t,\"text/xml\")}catch(e){n=void 0}return n&&!n.getElementsByTagName(\"parsererror\").length||b.error(\"Invalid XML: \"+t),n};var 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],
"text/plain": [
":DynamicMap []\n",
" :RGB [x,y] (R,G,B,A)"
]
},
"execution_count": 8,
"metadata": {
"application/vnd.holoviews_exec.v0+json": {
"id": "1741"
}
},
"output_type": "execute_result"
}
],
"source": [
"hv.extension(\"bokeh\")\n",
"\n",
"hv.operation.datashader.datashade(\n",
" hv.Path(\n",
" data=(x, y),\n",
" kdims=['x', 'y']\n",
" )\n",
").opts(\n",
" frame_height=300,\n",
" frame_width=300,\n",
" padding=0.05,\n",
" show_grid=True,\n",
" title = 'Random Walk with RNG'\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"How cool! Imagine all the processes we can model with this tool!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Misc. Topics\n",
"\n",
"### Kolmogorov's 0-1 Law\n",
"- A tail event occurs with probability 0 or 1.
\n",
"\n",
"Read more about it [here](http://users.cms.caltech.edu/~schulman/Courses/18cs150/lec5.pdf)!\n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPython 3.8.5\n",
"IPython 7.19.0\n",
"\n",
"numpy 1.19.2\n",
"pandas 1.1.3\n",
"bokeh 2.2.3\n",
"holoviews 1.13.5\n",
"datashader 0.11.1\n",
"iqplot 0.1.6\n",
"bebi103 0.1.1\n",
"jupyterlab 2.2.6\n"
]
}
],
"source": [
"%load_ext watermark\n",
"%watermark -v -p numpy,pandas,bokeh,holoviews,datashader,iqplot,bebi103,jupyterlab"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
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"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.5"
}
},
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"nbformat_minor": 4
}