29:null 2a:["$","title",null,{"children":"The Sigmoid Function | smpa01 | Observable"}] 2f:T551,{ const svgDims = [600, 300]; const svg = d3 .select(DOM.svg(svgDims[0], svgDims[1])) .attr("style", "background:white;border:1px solid white"); const xScale = d3.scaleLinear().domain([-10, 10]).range([30, 570]); const yScale = d3.scaleLinear().domain([-1, 1]).range([270, 30]); const xAxis = svg .append("g") .attr("id", "xAxis") .attr("transform", `translate(0,${yScale(0)})`) .call(d3.axisBottom(xScale)); const yAxis = svg .append("g") .attr("transform", `translate(${xScale(0)},0)`) .call(d3.axisLeft(yScale).ticks(5)); const f = (d) => { return exp(slope * d + intercept); }; /* for (let i = 0; i < blue.length; i++) { svg .append("circle") .attr("r", 0.5) .attr("stroke", "black") .attr("fill", "cornflowerblue") .attr("cx", xScale(blue[i].x)) .attr("cy", yScale(blue[i].y)); } for (let i = 0; i < red.length; i++) { svg .append("circle") .attr("r", 0.5) .attr("stroke", "black") .attr("fill", "tomato") .attr("cx", xScale(red[i].x)) .attr("cy", yScale(red[i].y)); }*/ const pathData = d3 .line() .x((d) => xScale(d)) .y((d) => yScale(f(d) / (1 + f(d))))(data); svg .append("path") .attr("d", pathData) .attr("fill", "none") .attr("stroke", "black"); yield svg.node(); }30:[] 2d:{"id":"09e2b0145a79ab2e","slug":null,"title":"The Sigmoid Function","thumbnail":"33d058d979323d4ba87855a6ad45dcec2e9786573bf53f634886775d613d0036","access_level":"public","create_time":"$D2023-08-21T16:43:26.399Z","update_time":"$D2023-08-22T22:02:32.397Z","view_time":null,"first_public_time":"$D2023-08-21T16:43:26.399Z","fork":{"id":"c095b619f5c0b29c","slug":"the-sigmoid-function","title":"The Sigmoid Function","owner":{"id":"66151b62b45d9fca","login":"credmond","name":"Charles Redmond"}},"stars":0,"starred":false,"owner":{"type":"team","id":"f6f5bab201e9c602","login":"smpa01","name":"smpa01","avatar_url":"https://avatars-next.observableusercontent.com/11fbf12260309afb8ae5e8d35256587cc7ddb704fb72f854fb7ae442be86582a","tier":"starter_2024"},"version":191,"publish_version":null,"role":null,"authored":false,"authors":[{"type":"individual","id":"de9567210aaa8bfc","login":"smpa01","name":"smpa01","avatar_url":"https://avatars-next.observableusercontent.com/11fbf12260309afb8ae5e8d35256587cc7ddb704fb72f854fb7ae442be86582a","tier":null}],"members":[{"type":"individual","id":"de9567210aaa8bfc","login":"smpa01","name":"smpa01","avatar_url":"https://avatars-next.observableusercontent.com/11fbf12260309afb8ae5e8d35256587cc7ddb704fb72f854fb7ae442be86582a","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"subscribed":null,"forks":0,"collection":null,"type":"notebook","body":{"title":"The Sigmoid Function","cells":[{"id":0,"value":"md`# The Sigmoid Function`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":65,"value":"viewof slope = slider({ min: 0, max: 1, step: 0.01, description: \"set slope\" })","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":67,"value":"viewof intercept = slider({\n min: -1,\n max: 6,\n step: 0.01,\n description: \"set intercept\"\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":127,"value":"html`

probability of red given x

`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":151,"value":"tex`y = \\dfrac{${odds}}{1+${odds}}`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":131,"value":"$2f","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":25,"value":"html`

Variables and Code

`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":23,"value":"data = {\n const data = []\n for(var i = -10; i <= 10; i = i + .01){\n data.push(i)\n }\n return data\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":177,"value":"data","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":46,"value":"blue = {\n const blue = []\n for(let i = 0;i < 30;i++){\n blue.push({x:normal(-4,3),y:0})\n }\n return blue\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":60,"value":"red = {\n const red = []\n for(let i = 0;i < 30;i++){\n red.push({x:normal(4,3),y:1})\n }\n return red\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":120,"value":"odds = {\n if(slope == 1){\n var a = \"x\"\n }else if(slope == -1){\n var a = \"-x\"\n }else if(slope == 0){\n var a = \"\"\n }else{\n var a = `${slope}x`\n }\n\n if(intercept == 0 && slope == 0 ){\n return `e^{0}`\n }else if(intercept == 0 ){\n return `e^{${a}}`\n }else if(intercept > 0 && slope == 0){\n return ` e^{${intercept}}`\n }else if(intercept > 0){\n return `e^{${a} + ${intercept}}`\n }else if(intercept < 0 ){\n return ` e^{${a} - ${-1*intercept}}`\n }else{\n return ``\n }\n\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":5,"value":"html`

Libraries

`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":7,"value":"import {slider,button,select,text,radio,checkbox,number} from \"@jashkenas/inputs\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":8,"value":"d3 = require(\"d3@5\")","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":10,"value":"stdlib = require( \"https://unpkg.com/@stdlib/stdlib@0.0.32/dist/stdlib-flat.min.js\" )","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":12,"value":"normal = stdlib.base.random.normal","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":14,"value":"ss = require(\"https://unpkg.com/simple-statistics@6.1.0/dist/simple-statistics.min.js\")","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":112,"value":"exp = stdlib.base.exp","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"}],"files":"$W30","stdlib":"1","titling":"auto"}} 2e:"$2d:body"