mirror of
https://github.com/Steffo99/unisteffo.git
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Update website
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24 changed files with 160 additions and 38 deletions
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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><title>Appunti Web</title><meta name="viewport" content="width=device-width,initial-scale=1"><meta name="mobile-web-app-capable" content="yes"><meta name="apple-mobile-web-app-capable" content="yes"><link rel="apple-touch-icon" href="./assets/icons/apple-touch-icon.png"><link rel="manifest" href="/manifest.json"><meta name="theme-color" content="#a0ccff"><link rel="shortcut icon" href="/favicon.ico"><style>*{box-sizing:border-box}body{background-color:#0d193b;color:#a0ccff;font-family:sans-serif}</style><link href="/bundle.69171.css" rel="preload" as="style"></head><body><script type="__PREACT_CLI_DATA__">{"preRenderData":{"url":"/"}}</script><script nomodule="">!function(){var e=document,t=e.createElement("script");if(!("noModule"in t)&&"onbeforeload"in t){var n=!1;e.addEventListener("beforeload",function(e){if(e.target===t)n=!0;else if(!e.target.hasAttribute("nomodule")||!n)return;e.preventDefault()},!0),t.type="module",t.src=".",e.head.appendChild(t),t.remove()}}();</script><script crossorigin="anonymous" src="/bundle.6b8a3.esm.js" type="module"></script><script nomodule="" src="/polyfills.b96b2.js"></script><script nomodule="" defer="defer" src="/bundle.109db.js"></script><link rel="stylesheet" href="/bundle.69171.css"></body></html>
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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><title>Appunti Web</title><meta name="viewport" content="width=device-width,initial-scale=1"><meta name="mobile-web-app-capable" content="yes"><meta name="apple-mobile-web-app-capable" content="yes"><link rel="apple-touch-icon" href="./assets/icons/apple-touch-icon.png"><link rel="manifest" href="/manifest.json"><meta name="theme-color" content="#a0ccff"><link rel="shortcut icon" href="/favicon.ico"><style>*{box-sizing:border-box}body{background-color:#0d193b;color:#a0ccff;font-family:sans-serif}</style><link href="/bundle.69171.css" rel="preload" as="style"></head><body><script type="__PREACT_CLI_DATA__">{"preRenderData":{"url":"/"}}</script><script nomodule="">!function(){var e=document,t=e.createElement("script");if(!("noModule"in t)&&"onbeforeload"in t){var n=!1;e.addEventListener("beforeload",function(e){if(e.target===t)n=!0;else if(!e.target.hasAttribute("nomodule")||!n)return;e.preventDefault()},!0),t.type="module",t.src=".",e.head.appendChild(t),t.remove()}}();</script><script crossorigin="anonymous" src="/bundle.cad64.esm.js" type="module"></script><script nomodule="" src="/polyfills.b96b2.js"></script><script nomodule="" defer="defer" src="/bundle.e705d.js"></script><link rel="stylesheet" href="/bundle.69171.css"></body></html>
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"url": "/assets/icon.png"
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},
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{
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"revision": "109dba3110c03847e5e8",
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"revision": "e705dde40af724cef2de",
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"url": "/bundle.69171.css"
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"revision": "109dba3110c03847e5e8",
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"url": "/bundle.6b8a3.esm.js"
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"revision": "e705dde40af724cef2de",
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"url": "/bundle.cad64.esm.js"
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},
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{
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"revision": "826355f5c78fb720ccc19bd121683d0e",
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"revision": "d61067c83e381792ce0e238029f803fe",
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"url": "/index.html"
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},
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{
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"url": "/route-basiDiDati.chunk.fad1f.esm.js"
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},
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{
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"revision": "f5c66ad2f48171900698",
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"url": "/route-calcoloNumerico.chunk.9cc26.css"
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"revision": "5e3f85501199dc34b0af",
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{
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"revision": "f5c66ad2f48171900698",
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"url": "/route-calcoloNumerico.chunk.9d1fa.esm.js"
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"revision": "5e3f85501199dc34b0af",
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"url": "/route-calcoloNumerico.chunk.9cc26.css"
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},
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{
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"url": "/assets/icon.png"
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},
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{
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"revision": "109dba3110c03847e5e8",
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"url": "/bundle.109db.js"
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},
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{
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"revision": "109dba3110c03847e5e8",
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"revision": "e705dde40af724cef2de",
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"url": "/bundle.69171.css"
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},
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{
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"revision": "826355f5c78fb720ccc19bd121683d0e",
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"url": "/route-basiDiDati.chunk.9cc26.css"
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},
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{
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"revision": "f5c66ad2f48171900698",
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"url": "/route-calcoloNumerico.chunk.9cc26.css"
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"revision": "f5c66ad2f48171900698",
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"revision": "5e3f85501199dc34b0af",
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},
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"url": "/sw-debug.js"
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},
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{
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"revision": "1f9db8e78d97e7e4e84783ab54aec767",
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"revision": "fe17aaaaaccb2deed903e18267256258",
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"url": "/sw-esm.js"
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{"/":{"bundle.69171.css":{"type":"style","weight":1},"bundle.6b8a3.esm.js":{"type":"script","weight":1},"route-home.chunk.86a07.esm.js":{"type":"script","weight":0.9},"route-home.chunk.deccf.css":{"type":"style","weight":0.9}},"/apprendimentoSistemiArtificiali":{"bundle.69171.css":{"type":"style","weight":1},"bundle.6b8a3.esm.js":{"type":"script","weight":1},"route-apprendimentoSistemiArtificiali.chunk.bcba4.esm.js":{"type":"script","weight":0.9},"route-apprendimentoSistemiArtificiali.chunk.c2edb.css":{"type":"style","weight":0.9}},"/basiDiDati":{"bundle.69171.css":{"type":"style","weight":1},"bundle.6b8a3.esm.js":{"type":"script","weight":1},"route-basiDiDati.chunk.fad1f.esm.js":{"type":"script","weight":0.9},"route-basiDiDati.chunk.9cc26.css":{"type":"style","weight":0.9}},"/calcoloNumerico":{"bundle.69171.css":{"type":"style","weight":1},"bundle.6b8a3.esm.js":{"type":"script","weight":1},"route-calcoloNumerico.chunk.9d1fa.esm.js":{"type":"script","weight":0.9},"route-calcoloNumerico.chunk.9cc26.css":{"type":"style","weight":0.9}},"/fisica":{"bundle.69171.css":{"type":"style","weight":1},"bundle.6b8a3.esm.js":{"type":"script","weight":1},"route-fisica.chunk.4ed8c.esm.js":{"type":"script","weight":0.9},"route-fisica.chunk.0b01a.css":{"type":"style","weight":0.9}},"/mingwinstall":{"bundle.69171.css":{"type":"style","weight":1},"bundle.6b8a3.esm.js":{"type":"script","weight":1},"route-mingwinstall.chunk.ea3ae.esm.js":{"type":"script","weight":0.9},"route-mingwinstall.chunk.4f81b.css":{"type":"style","weight":0.9}},"/ottimizzazioneLineare":{"bundle.69171.css":{"type":"style","weight":1},"bundle.6b8a3.esm.js":{"type":"script","weight":1},"route-ottimizzazioneLineare.chunk.050ec.esm.js":{"type":"script","weight":0.9},"route-ottimizzazioneLineare.chunk.ab1d9.css":{"type":"style","weight":0.9}},"/statistica":{"bundle.69171.css":{"type":"style","weight":1},"bundle.6b8a3.esm.js":{"type":"script","weight":1},"route-statistica.chunk.26925.esm.js":{"type":"script","weight":0.9},"route-statistica.chunk.025c9.css":{"type":"style","weight":0.9}},"/vldigeometria":{"bundle.69171.css":{"type":"style","weight":1},"bundle.6b8a3.esm.js":{"type":"script","weight":1},"route-vldigeometria.chunk.24244.esm.js":{"type":"script","weight":0.9},"route-vldigeometria.chunk.e54c2.css":{"type":"style","weight":0.9}}}
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{"/":{"bundle.69171.css":{"type":"style","weight":1},"bundle.cad64.esm.js":{"type":"script","weight":1},"route-home.chunk.86a07.esm.js":{"type":"script","weight":0.9},"route-home.chunk.deccf.css":{"type":"style","weight":0.9}},"/apprendimentoSistemiArtificiali":{"bundle.69171.css":{"type":"style","weight":1},"bundle.cad64.esm.js":{"type":"script","weight":1},"route-apprendimentoSistemiArtificiali.chunk.bcba4.esm.js":{"type":"script","weight":0.9},"route-apprendimentoSistemiArtificiali.chunk.c2edb.css":{"type":"style","weight":0.9}},"/basiDiDati":{"bundle.69171.css":{"type":"style","weight":1},"bundle.cad64.esm.js":{"type":"script","weight":1},"route-basiDiDati.chunk.fad1f.esm.js":{"type":"script","weight":0.9},"route-basiDiDati.chunk.9cc26.css":{"type":"style","weight":0.9}},"/calcoloNumerico":{"bundle.69171.css":{"type":"style","weight":1},"bundle.cad64.esm.js":{"type":"script","weight":1},"route-calcoloNumerico.chunk.32e83.esm.js":{"type":"script","weight":0.9},"route-calcoloNumerico.chunk.9cc26.css":{"type":"style","weight":0.9}},"/fisica":{"bundle.69171.css":{"type":"style","weight":1},"bundle.cad64.esm.js":{"type":"script","weight":1},"route-fisica.chunk.4ed8c.esm.js":{"type":"script","weight":0.9},"route-fisica.chunk.0b01a.css":{"type":"style","weight":0.9}},"/mingwinstall":{"bundle.69171.css":{"type":"style","weight":1},"bundle.cad64.esm.js":{"type":"script","weight":1},"route-mingwinstall.chunk.ea3ae.esm.js":{"type":"script","weight":0.9},"route-mingwinstall.chunk.4f81b.css":{"type":"style","weight":0.9}},"/ottimizzazioneLineare":{"bundle.69171.css":{"type":"style","weight":1},"bundle.cad64.esm.js":{"type":"script","weight":1},"route-ottimizzazioneLineare.chunk.050ec.esm.js":{"type":"script","weight":0.9},"route-ottimizzazioneLineare.chunk.ab1d9.css":{"type":"style","weight":0.9}},"/statistica":{"bundle.69171.css":{"type":"style","weight":1},"bundle.cad64.esm.js":{"type":"script","weight":1},"route-statistica.chunk.26925.esm.js":{"type":"script","weight":0.9},"route-statistica.chunk.025c9.css":{"type":"style","weight":0.9}},"/vldigeometria":{"bundle.69171.css":{"type":"style","weight":1},"bundle.cad64.esm.js":{"type":"script","weight":1},"route-vldigeometria.chunk.24244.esm.js":{"type":"script","weight":0.9},"route-vldigeometria.chunk.e54c2.css":{"type":"style","weight":0.9}}}
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{"version":3,"sources":[],"names":[],"mappings":"","file":"route-calcoloNumerico.chunk.9d1fa.esm.js","sourceRoot":""}
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{"version":3,"sources":[],"names":[],"mappings":"","file":"route-calcoloNumerico.chunk.32e83.esm.js","sourceRoot":""}
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importScripts("/precache-manifest.712081d862b6875737d79df2320f3230.esm.js", "https://storage.googleapis.com/workbox-cdn/releases/4.3.1/workbox-sw.js");
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importScripts("/precache-manifest.20dc31c2fd802449f3ea3bbd9638e1d1.esm.js", "https://storage.googleapis.com/workbox-cdn/releases/4.3.1/workbox-sw.js");
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!function(e){function t(n){if(r[n])return r[n].exports;var o=r[n]={i:n,l:!1,exports:{}};return e[n].call(o.exports,o,o.exports,t),o.l=!0,o.exports}var r={};t.m=e,t.c=r,t.d=function(e,r,n){t.o(e,r)||Object.defineProperty(e,r,{enumerable:!0,get:n})},t.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},t.t=function(e,r){if(1&r&&(e=t(e)),8&r)return e;if(4&r&&"object"==typeof e&&e&&e.__esModule)return e;var n=Object.create(null);if(t.r(n),Object.defineProperty(n,"default",{enumerable:!0,value:e}),2&r&&"string"!=typeof e)for(var o in e)t.d(n,o,function(t){return e[t]}.bind(null,o));return n},t.n=function(e){var r=e&&e.__esModule?function(){return e.default}:function(){return e};return t.d(r,"a",r),r},t.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},t.p="/",t(t.s="idKB")}({idKB:function(){self.__precacheManifest=[].concat(self.__precacheManifest||[]);const e=e=>"navigate"===e.request.mode;workbox.routing.registerRoute(({event:t})=>e(t),new workbox.strategies.NetworkFirst({cacheName:workbox.core.cacheNames.precache,networkTimeoutSeconds:5,plugins:[new workbox.cacheableResponse.Plugin({statuses:[200]})]})),workbox.precaching.precacheAndRoute(self.__precacheManifest,{}),workbox.routing.setCatchHandler(({event:t})=>e(t)?caches.match(workbox.precaching.getCacheKeyForURL("/index.html")):Response.error())}});
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//# sourceMappingURL=sw-esm.js.map
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importScripts("/precache-manifest.812c022b607ffd6b3904af385980122b.js", "https://storage.googleapis.com/workbox-cdn/releases/4.3.1/workbox-sw.js");
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importScripts("/precache-manifest.53b02f2890f01147a2a2ea3eafd01aea.js", "https://storage.googleapis.com/workbox-cdn/releases/4.3.1/workbox-sw.js");
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!function(e){function t(n){if(r[n])return r[n].exports;var o=r[n]={i:n,l:!1,exports:{}};return e[n].call(o.exports,o,o.exports,t),o.l=!0,o.exports}var r={};t.m=e,t.c=r,t.d=function(e,r,n){t.o(e,r)||Object.defineProperty(e,r,{enumerable:!0,get:n})},t.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},t.t=function(e,r){if(1&r&&(e=t(e)),8&r)return e;if(4&r&&"object"==typeof e&&e&&e.__esModule)return e;var n=Object.create(null);if(t.r(n),Object.defineProperty(n,"default",{enumerable:!0,value:e}),2&r&&"string"!=typeof e)for(var o in e)t.d(n,o,function(t){return e[t]}.bind(null,o));return n},t.n=function(e){var r=e&&e.__esModule?function(){return e.default}:function(){return e};return t.d(r,"a",r),r},t.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},t.p="/",t(t.s="idKB")}({idKB:function(){self.__precacheManifest=[].concat(self.__precacheManifest||[]);const e=e=>"navigate"===e.request.mode;workbox.routing.registerRoute(({event:t})=>e(t),new workbox.strategies.NetworkFirst({cacheName:workbox.core.cacheNames.precache,networkTimeoutSeconds:5,plugins:[new workbox.cacheableResponse.Plugin({statuses:[200]})]})),workbox.precaching.precacheAndRoute(self.__precacheManifest,{}),workbox.routing.setCatchHandler(({event:t})=>e(t)?caches.match(workbox.precaching.getCacheKeyForURL("/index.html")):Response.error())}});
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//# sourceMappingURL=sw.js.map
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@ -3,6 +3,6 @@ import { Component } from 'preact';
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export default class Copyright extends Component {
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render() {
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return <div class={style.copyright}>© 2019 - Stefano Pigozzi - <a href="https://creativecommons.org/licenses/by-sa/4.0/">CC BY-SA 4.0</a> - <a href="https://github.com/Steffo99/appuntiweb">Codice sorgente</a></div>;
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return <div class={style.copyright}>© 2019 - Stefano Pigozzi - <a href="https://creativecommons.org/licenses/by-sa/4.0/">CC BY-SA 4.0</a> - <a href="https://github.com/Steffo99/appuntiweb">Codice sorgente</a> - <a href={"https://ko-fi.com/steffo"}>Supportami</a></div>;
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}
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}
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}
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.splitparent {
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display: flex;
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flex-wrap: wrap;
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}
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.splitchild {
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flex-grow: 1;
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flex-shrink: 0;
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flex-basis: 0;
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}
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</p>
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</Panel>
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</Split>
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<Split title={"Le cose più difficili di Algebra Lineare"}>
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<Panel title={"Matrice singolare"}>
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<p>
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Matrice con determinante 0.
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</p>
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<p>
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Le matrici singolari <b>non sono invertibili</b>.
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</p>
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</Panel>
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</Split>
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<Split title={"Norme"}>
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<Panel title={"Norma vettoriale"}>
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<p>
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Funzione che associa un valore positivo a ogni vettore diverso da 0, e 0 al vettore zero.
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</p>
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<Example>
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<a href={"https://it.wikipedia.org/wiki/Norma_(matematica)#/media/File:Vector_norms.svg"}>Esempi su Wikipedia</a>
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</Example>
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</Panel>
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<Panel title={"Norma a infinito"}>
|
||||
<p>
|
||||
Massimo dei valori assoluti di tutti gli elementi del vettore.
|
||||
</p>
|
||||
<p>
|
||||
<Latex>{r`\Vert x \Vert_\infty = max_{i = 1..n} | x_i |`}</Latex>
|
||||
</p>
|
||||
</Panel>
|
||||
<Panel title={"Norma a 1"}>
|
||||
<p>
|
||||
Somma dei valori assoluti di tutti gli elementi del vettore.
|
||||
</p>
|
||||
<p>
|
||||
<Latex>{r`\Vert x \Vert_1 = \sum_{i = 1}^n | x_i |`}</Latex>
|
||||
</p>
|
||||
</Panel>
|
||||
<Panel title={"Norma a 2"}>
|
||||
<p>
|
||||
Radice quadrata della somma dei quadrati di tutti gli elementi del vettore.
|
||||
</p>
|
||||
<p>
|
||||
<Latex>{r`\Vert x \Vert_2 = \sqrt{\sum_{i = 1}^n x_i^2}`}</Latex>
|
||||
</p>
|
||||
</Panel>
|
||||
</Split>
|
||||
<Split>
|
||||
<Panel title={"Norma matriciale indotta"}>
|
||||
<p>
|
||||
Funzione che associa un valore positivo a ogni matrice diversa da 0, e 0 alla matrice zero.
|
||||
</p>
|
||||
<p>
|
||||
Si ricavano dalle norme vettoriali:
|
||||
</p>
|
||||
<p>
|
||||
<Latex>{r`\Vert A \Vert = sup_{x \in \mathbb{R}, x \neq 0} \frac{\Vert A \cdot x \Vert}{\Vert x \Vert}`}</Latex>
|
||||
</p>
|
||||
<Example>
|
||||
<Latex>sup</Latex> è l'estremo superiore di un insieme. E' molto simile al massimo: ricordi le prime lezioni di Analisi?
|
||||
</Example>
|
||||
</Panel>
|
||||
<Panel title={"Norma a infinito"}>
|
||||
<p>
|
||||
Massimo delle somme dei valori assoluti di tutti gli elementi di ogni riga di una matrice.
|
||||
</p>
|
||||
<p>
|
||||
<Latex>{r`\Vert A \Vert_\infty = max_{i = 1..n} \sum_{j = 1}^n | a_{ij} |`}</Latex>
|
||||
</p>
|
||||
</Panel>
|
||||
<Panel title={"Norma a 1"}>
|
||||
<p>
|
||||
Massimo delle somme dei valori assoluti di tutti gli elementi di ogni colonna di una matrice.
|
||||
</p>
|
||||
<p>
|
||||
<Latex>{r`\Vert A \Vert_1 = max_{j = 1..n} \sum_{i = 1}^n | a_{ij} |`}</Latex>
|
||||
</p>
|
||||
</Panel>
|
||||
<Panel title={"Norma a 2"}>
|
||||
<p>
|
||||
Radice quadrata del rango del prodotto tra una matrice e la sua trasposta.
|
||||
</p>
|
||||
<p>
|
||||
<Latex>{r`\Vert A \Vert_2 = \sqrt{\rho ( A^T \times A ) }`}</Latex>
|
||||
</p>
|
||||
</Panel>
|
||||
</Split>
|
||||
<Split>
|
||||
<Panel title={"Errore relativo tra vettori e matrici"}>
|
||||
<p>
|
||||
Le norme sono usate per calcolare l'errore relativo tra due vettori o matrici:
|
||||
</p>
|
||||
<p>
|
||||
<Latex>{r`\frac{\Vert x - y \Vert}{\Vert x \Vert}`}</Latex>
|
||||
</p>
|
||||
</Panel>
|
||||
</Split>
|
||||
<Split title={"Fattorizzazione"}>
|
||||
<Panel title={"Cos'è?"}>
|
||||
<p>
|
||||
La fattorizzazione è il processo che permette di risolvere sistemi di equazioni lineari rappresentati in forma di matrice.
|
||||
</p>
|
||||
<p>
|
||||
Esistono molteplici algoritmi in grado di realizzarla: mentre tutti portano alla stessa soluzione, possono avere <b>velocità</b> e <b>indici algoritmici</b> diversi.
|
||||
</p>
|
||||
<p>
|
||||
Il sistema lineare da risolvere viene diviso in due parti: la <i>matrice dei coefficienti</i> e il <i>vettore termine noto</i>.
|
||||
</p>
|
||||
</Panel>
|
||||
<Panel title={"Teorema di Rouché-Capélli"}>
|
||||
<p>
|
||||
|
||||
</p>
|
||||
</Panel>
|
||||
</Split>
|
||||
</div>
|
||||
)
|
||||
}
|
||||
|
|
Loading…
Reference in a new issue