{ "frontmatter": { "title": "Interactive Components", "description": "How does open-science allow us to reimagine how we stand on the shoulders of giants?", "date": "2021-01-27T18:55:00.000Z", "author": ["@rowanc1"], "name": "communicating-science", "oxa": "oxa:AVQ2dzLNloEd25Io8NbA/qejlAHZA1c1plMBozBGl" }, "mdast": { "type": "root", "children": [ { "type": "block", "meta": "{\"oxa\":\"oxa:AVQ2dzLNloEd25Io8NbA/8Avcz3QGT8eSeauIjdLn.8\"}", "children": [ { "type": "heading", "depth": 2, "children": [ { "type": "text", "value": "Park Admission", "key": "FGZzciCoWs" } ], "key": "jA2zodv58A" }, { "type": "r:var", "name": "visitors", "value": "3", "format": ".0f", "key": "JrhNxdfUEz" }, { "type": "r:var", "name": "cost", "value": "5.00", "format": "$,.2f", "key": "QxV1r3Xu8N" }, { "type": "paragraph", "children": [ { "type": "text", "value": "If there are ", "key": "neenTWsOfX" }, { "type": "r:display", "valueFunction": "visitors", "key": "pgsn0rilEG" }, { "type": "text", "value": " visitors and admission cost ", "key": "PhunaW79WU" }, { "type": "r:display", "valueFunction": "cost", "format": "$,.2f", "key": "azaBnf4zvt" }, { "type": "text", "value": ", then we would make ", "key": "KkiNqwUpLo" }, { "type": "r:display", "valueFunction": "cost * visitors", "format": "$.2f", "key": "Pr1GfpoYav" }, { "type": "text", "value": "!!", "key": "WcP5uu4jga" }, { "type": "footnoteReference", "identifier": "1", "label": "1", "key": "quytAE3YTv" }, { "type": "text", "value": ".", "key": "iqAENMaFmc" } ], "key": "E19gWSGoHm" }, { "type": "paragraph", "children": [ { "type": "strong", "children": [{ "type": "text", "value": "Cost:", "key": "MYLOWCR2tm" }], "key": "NdZkAH8toN" }, { "type": "text", "value": " ", "key": "UM288Kzasw" }, { "type": "r:range", "valueFunction": "cost", "changeFunction": "{cost: value}", "key": "VVW1BIuBgf" } ], "key": "vv3h1fMsEO" }, { "type": "paragraph", "children": [ { "type": "strong", "children": [ { "type": "text", "value": "Visitors:", "key": "Cs0ctTCc0X" 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{ "type": "r:range", "valueFunction": "revenue", "changeFunction": "{revenue: value}", "key": "oGYnD0EERf" }, { "type": "r:display", "valueFunction": "revenue", "format": "$", "key": "fgvVNJ44Hu" }, { "type": "text", "value": "/user/month", "key": "QiJOE8becV" } ], "key": "a9zKiVPuUm" }, { "type": "paragraph", "children": [ { "type": "text", "value": "Based on your minimum success criteria of ", "key": "FjCtJlOuT3" }, { "type": "r:dynamic", "valueFunction": "goal", "changeFunction": "{goal: value}", "format": "$,.0f", "min": "100000", "max": "2000000", "step": "25000", "key": "qb4oKOZd1H" }, { "type": "text", "value": " per year with a pricing model of ", "key": "Vvnyzlzg03" }, { "type": "r:dynamic", "valueFunction": "revenue", "changeFunction": "{revenue: value}", "format": "$.0f", "key": "V3hCl149Ts" }, { "type": "text", "value": "/month, an expected customer lifetime of ", "key": "aZiOaFki18" }, { "type": "r:dynamic", "valueFunction": "retention", "changeFunction": "{retention: value}", "format": ".1f", "max": "5", "step": "0.1", "key": "toX8h22XRW" }, { "type": "text", "value": " years, an expected acquisition rate of ", "key": "VE197Id0lT" }, { "type": "r:dynamic", "valueFunction": "acquisition", "changeFunction": "{acquisition: value}", "format": ".0%", "max": "0.2", "step": "0.01", "key": "DbtF9ba5sR" }, { "type": "text", "value": " and a customer referral rate of ", "key": "T6c2XqzpZu" }, { "type": "r:dynamic", "valueFunction": "referral", "changeFunction": "{referral: value}", "format": ".0%", "max": "0.2", "step": "0.01", "key": "J50m7dYH1W" }, { "type": "text", "value": ".", "key": "cp2ShF65hZ" } ], "key": "VjukwNvTKy" }, { "type": "admonition", "kind": "important", "children": [ { "type": "admonitionTitle", "children": [ { "type": "text", "value": "Important", "key": "nv6oN4f7A1" } ], "key": "R1gd1H41I3" }, { "type": "paragraph", "children": [ { "type": "text", "value": "You will need ", "key": "ffL2j69uYR" }, { "type": "strong", "children": [ { "type": "r:display", "valueFunction": "active_customers", "format": ".0f", "key": "XG3IcFZxuZ" } ], "key": "aylPD58Hgd" }, { "type": "text", "value": " customers in year three.", "key": "geQHh4x2vR" } ], "key": "Aq7MCcqWKz" } ], "key": "tUC1RWilQL" }, { "type": "paragraph", "children": [ { "type": "text", "value": "The lifetime value of your customer is ", "key": "naTmpfelZa" }, { "type": "r:display", "valueFunction": "lifetime_value", "format": "$.0f", "key": "Q7zoCLemMD" }, { "type": "text", "value": ". That means that the throughput is ", "key": "cxPzt2jsdK" }, { "type": "r:display", "valueFunction": "throughput", "format": ".0f", "key": "sE7H27biuI" }, { "type": "text", "value": " new customers per year.", "key": "kAz7BCCb6k" } ], "key": "qEhHPgV9ee" }, { "type": "paragraph", "children": [ { "type": "text", "value": "With a lifetime value of ", "key": "RL4CdU8rAe" }, { "type": "r:dynamic", "valueFunction": "retention", "changeFunction": "{retention: value}", "format": ".1f", "max": "5", "step": "0.1", "key": "daFtJ8wofv" }, { "type": "text", "value": " years, to maintain that revenue you will need ", "key": "EYUXbWEgJ4" }, { "type": "r:display", "valueFunction": "new_customers", "key": "Tgac0AAEVt" }, { "type": "text", "value": " new customers every year! But it gets worse, to create a new customer you need to start with leads.", "key": "wx3gPYZrqP" } ], "key": "ISP4N4XTEP" }, { "type": "directive", "kind": "margin", "value": "SaaS products report (on average) a 1% paid conversion. This is an aggregate of hundreds of thousands of companies, so you might do better than that, but don’t delude yourself in thinking that you will have a 10% conversion rate!", "key": "DqqJAp7XUU" }, { "type": "list", "ordered": false, "spread": false, "children": [ { "type": "listItem", "spread": true, "children": [ { "type": "text", "value": "With a conversion rate of ", "key": "KQeh3xA5TH" }, { "type": "r:dynamic", "valueFunction": "conversion", "changeFunction": "{conversion: value}", "format": ".1%", "min": "0.001", "max": "0.1", "step": "0.001", "key": "MgdtY0tlNU" }, { "type": "text", "value": ", you will need ", "key": "yz1vYQ1ICD" }, { "type": "strong", "children": [ { "type": "r:display", "valueFunction": "new_customers / conversion", "format": ",.0f", "key": "b62SptQ7mP" } ], "key": "YG3v2c4IaC" }, { "type": "text", "value": " new ", "key": "vaRCG4Eru1" }, { "type": "strong", "children": [ { "type": "text", "value": "visitors", "key": "a6HUh958nW" } ], "key": "ugX7ysj8d3" }, { "type": "text", "value": " to your website per year, or ", "key": "BLB5qChFMo" }, { "type": "r:display", "valueFunction": "new_customers / conversion / 365", "format": ",.0f", "key": "FKWlbN7bib" }, { "type": "text", "value": " new ", "key": "nD4q7e8loZ" }, { "type": "strong", "children": [ { "type": "text", "value": "visitors", "key": "rvPOuJ6hqd" } ], "key": "qvOwaoSnfE" }, { "type": "text", "value": " every day!", "key": "cPdxxLUo4b" } ], "key": "XkRRtw75iw" } ], "key": "YubbsvDZv1" }, { "type": "paragraph", "children": [ { "type": "strong", "children": [ { "type": "text", "value": "Things to change:", "key": "nFZLQ9u03F" } ], "key": "CayXkwCoxU" } ], "key": "OQ5eER1Am5" }, { "type": "list", "ordered": false, "spread": false, "children": [ { "type": "listItem", "spread": true, "children": [ { "type": "text", "value": "Increase utility, this will improve your customer retention. 🔧", "key": "dBfxVEHhvE" } ], "key": "gDlF6VDKt1" }, { "type": "listItem", "spread": true, "children": [ { "type": "text", "value": "Increase your pricing? 💸", "key": "SZS6E52iNT" }, { "type": "list", "ordered": false, "spread": false, "children": [ { "type": "listItem", "spread": true, "children": [ { "type": "text", "value": "Can you can double your pricing and not loose more than half of your customers?", "key": "YTWNtmLXIY" } ], "key": "Su3uker5c5" } ], "key": "WBEYRY5v3b" } ], "key": "nVteC6uvDf" } ], "key": "imbUrpJqYu" }, { "type": "heading", "depth": 2, "children": [ { "type": "text", "value": "Other examples:", "key": "FGZzsfciCoWs" } ], "key": "jAodsf58A" }, { "type": "paragraph", "children": [ { "type": "text", "value": "Can have ", "key": "dBfsVEHhvE" }, { "type": "inlineCode", "value": "code", "key": "dBfsxVEhvE" } ] }, { "type": "code", "lang": "python", "emphasizeLines": [2], "showLineNumbers": true, "value": "def five():\n print('five')\n return 5", "key": "YMSml3yWA3" }, { "type": "math", "identifier": "hello", "label": "hello", "value": "\\begin{aligned}\n\\frac{d}{d \\tau}\\left(\\frac{\\partial \\xi^{\\alpha}}{d x^{\\mu}} \\frac{d x^{\\mu}}{d \\tau}\\right)=& \\frac{d}{d \\tau}\\left(\\frac{\\partial \\xi^{\\alpha}}{\\partial x^{\\mu}}\\right) \\frac{d x^{\\mu}}{d \\tau}+\\frac{\\partial \\xi^{\\alpha}}{\\partial x^{\\mu}} \\frac{d}{d \\tau}\\left(\\frac{d x^{\\mu}}{d \\tau}\\right) \\\\\n&=\\frac{\\partial}{\\partial x^{v}}\\left(\\frac{\\partial \\xi^{\\alpha}}{\\partial x^{\\mu}}\\right) \\frac{d x^{v}}{d \\tau} \\frac{d x^{\\mu}}{d \\tau}+\\frac{\\partial \\xi^{\\alpha}}{\\partial x^{\\mu}} \\frac{d^{2} x^{\\mu}}{d \\tau^{2}} \\\\\n&=\\frac{\\partial \\xi^{\\alpha}}{\\partial x^{v} \\partial x^{v}} \\frac{d x^{v}}{d \\tau} \\frac{d x^{\\mu}}{d \\tau}+\\frac{\\partial \\xi^{\\alpha}}{\\partial x^{\\mu}} \\frac{d^{2} x^{\\mu}}{d \\tau^{2}}=0\n\\end{aligned}", "html": "ddτ(∂ξαdxμdxμdτ)=ddτ(∂ξα∂xμ)dxμdτ+∂ξα∂xμddτ(dxμdτ)=∂∂xv(∂ξα∂xμ)dxvdτdxμdτ+∂ξα∂xμd2xμdτ2=∂ξα∂xv∂xvdxvdτdxμdτ+∂ξα∂xμd2xμdτ2=0\\begin{aligned}\n\\frac{d}{d \\tau}\\left(\\frac{\\partial \\xi^{\\alpha}}{d x^{\\mu}} \\frac{d x^{\\mu}}{d \\tau}\\right)=& \\frac{d}{d \\tau}\\left(\\frac{\\partial \\xi^{\\alpha}}{\\partial x^{\\mu}}\\right) \\frac{d x^{\\mu}}{d \\tau}+\\frac{\\partial \\xi^{\\alpha}}{\\partial x^{\\mu}} \\frac{d}{d \\tau}\\left(\\frac{d x^{\\mu}}{d \\tau}\\right) \\\\\n&=\\frac{\\partial}{\\partial x^{v}}\\left(\\frac{\\partial \\xi^{\\alpha}}{\\partial x^{\\mu}}\\right) \\frac{d x^{v}}{d \\tau} \\frac{d x^{\\mu}}{d \\tau}+\\frac{\\partial \\xi^{\\alpha}}{\\partial x^{\\mu}} \\frac{d^{2} x^{\\mu}}{d \\tau^{2}} \\\\\n&=\\frac{\\partial \\xi^{\\alpha}}{\\partial x^{v} \\partial x^{v}} \\frac{d x^{v}}{d \\tau} \\frac{d x^{\\mu}}{d \\tau}+\\frac{\\partial \\xi^{\\alpha}}{\\partial x^{\\mu}} \\frac{d^{2} x^{\\mu}}{d \\tau^{2}}=0\n\\end{aligned}dτd​(dxμ∂ξα​dτdxμ​)=​dτd​(∂xμ∂ξα​)dτdxμ​+∂xμ∂ξα​dτd​(dτdxμ​)=∂xv∂​(∂xμ∂ξα​)dτdxv​dτdxμ​+∂xμ∂ξα​dτ2d2xμ​=∂xv∂xv∂ξα​dτdxv​dτdxμ​+∂xμ∂ξα​dτ2d2xμ​=0​", "key": "qirPOhenbC" } ], "key": "rSZVKCHeXl" } ], "key": "CK8OC5lkeI" }, "references": { "cite": { "order": [], "data": {} }, "footnotes": { "1": { "type": "footnoteDefinition", "identifier": "1", "label": "1", "children": [ { "type": "paragraph", "children": [ { "type": "text", "value": "This is a simple multiplication of cost times visitors!" } ] } ] } } } }