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Update calcoloNumerico.js
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||||||
{"version":3,"sources":[],"names":[],"mappings":"","file":"route-calcoloNumerico.chunk.5f4f3.esm.js","sourceRoot":""}
|
{"version":3,"sources":[],"names":[],"mappings":"","file":"route-calcoloNumerico.chunk.b8d1f.esm.js","sourceRoot":""}
|
||||||
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|
||||||
.splitparent__2xagg{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap}.splitchild__3cEoc{-ms-flex-positive:1;flex-grow:1;-ms-flex-negative:0;flex-shrink:0;-ms-flex-preferred-size:0;flex-basis:0}.latex__3Esv7{display:inline-block;vertical-align:middle}.panel__1ubJw{background-color:rgba(160,204,255,.1);padding:4px;border-radius:4px;margin:4px;height:calc(100% - 8px);min-width:256px}.example__P0_NL{border:none;color:#d3a1ff;background-color:rgba(211,161,255,.1);border-radius:4px}.example__P0_NL:before{content:"♦ "}.todo__1pOoN{border:4px solid #ff0;border-radius:4px;padding:2px;background-color:#000;color:#ff0}
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|
||||||
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|
||||||
importScripts("/precache-manifest.8eff6c9cf3c41600a917358493b8de5f.esm.js", "https://storage.googleapis.com/workbox-cdn/releases/4.3.1/workbox-sw.js");
|
importScripts("/precache-manifest.0d9a7bb8206f79b695db196363a66740.esm.js", "https://storage.googleapis.com/workbox-cdn/releases/4.3.1/workbox-sw.js");
|
||||||
|
|
||||||
!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())}});
|
!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())}});
|
||||||
//# sourceMappingURL=sw-esm.js.map
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//# sourceMappingURL=sw-esm.js.map
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||||||
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|
||||||
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|
||||||
importScripts("/precache-manifest.8436a5a2fecf4d21f53555910f03a9d7.js", "https://storage.googleapis.com/workbox-cdn/releases/4.3.1/workbox-sw.js");
|
importScripts("/precache-manifest.ecfa5672e4bfb1b4e59f0e190b654487.js", "https://storage.googleapis.com/workbox-cdn/releases/4.3.1/workbox-sw.js");
|
||||||
|
|
||||||
!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())}});
|
!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())}});
|
||||||
//# sourceMappingURL=sw.js.map
|
//# sourceMappingURL=sw.js.map
|
||||||
|
|
|
||||||
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|
|
@ -4,6 +4,7 @@ import Latex from "../components/latex";
|
||||||
import Panel from "../components/panel";
|
import Panel from "../components/panel";
|
||||||
import Example from "../components/example";
|
import Example from "../components/example";
|
||||||
import Todo from "../components/todo";
|
import Todo from "../components/todo";
|
||||||
|
import Timer from "../components/timer";
|
||||||
|
|
||||||
const r = String.raw;
|
const r = String.raw;
|
||||||
|
|
||||||
|
|
@ -29,12 +30,14 @@ export default class CalcoloNumerico extends Component {
|
||||||
</Panel>
|
</Panel>
|
||||||
<Panel title={"Videolezioni"}>
|
<Panel title={"Videolezioni"}>
|
||||||
<ol>
|
<ol>
|
||||||
<li><a href={"https://eu.bbcollab.com/collab/ui/session/playback/load/ef3c5cf6f4e74a948f03220bc1c3a87d"}>Introduzione al corso</a></li>
|
<li><a href={"https://t.me/unimorefiles/34"}>Introduzione al corso</a></li>
|
||||||
<li><a href={"https://eu.bbcollab.com/collab/ui/session/playback/load/ef3c5cf6f4e74a948f03220bc1c3a87d"}>Introduzione alla materia</a></li>
|
<li><a href={"https://t.me/unimorefiles/35"}>Introduzione alla materia</a></li>
|
||||||
<li><a href={"https://eu.bbcollab.com/collab/ui/session/playback/load/57489722ce4e426194fd8c9cb06a1867"}>Rappresentazione dei numeri</a></li>
|
<li><a href={"https://t.me/unimorefiles/36"}>Rappresentazione dei numeri</a></li>
|
||||||
<li><a href={"https://eu.bbcollab.com/collab/ui/session/playback/load/57489722ce4e426194fd8c9cb06a1867"}>Rappresentazione fixed point degli interi</a></li>
|
<li><a href={"https://t.me/unimorefiles/37"}>Rappresentazione fixed point degli interi</a></li>
|
||||||
<li><a href={"https://eu.bbcollab.com/collab/ui/session/playback/load/6da751c5e49143eebe203e388ca8a4b8"}>Rappresentazione floating point dei reali</a></li>
|
<li><a href={"https://t.me/unimorefiles/38"}>Rappresentazione floating point dei reali</a></li>
|
||||||
<li><a href={"https://eu.bbcollab.com/collab/ui/session/playback/load/6da751c5e49143eebe203e388ca8a4b8"}>Operazioni di macchina</a></li>
|
<li><a href={"https://t.me/unimorefiles/39"}>Operazioni di macchina</a></li>
|
||||||
|
<li>Analisi degli errori: condizionamento e stabilità</li>
|
||||||
|
<li>Richiami di Algebra lineare</li>
|
||||||
</ol>
|
</ol>
|
||||||
</Panel>
|
</Panel>
|
||||||
<Panel title={"Team-based Learning"}>
|
<Panel title={"Team-based Learning"}>
|
||||||
|
|
@ -49,6 +52,119 @@ export default class CalcoloNumerico extends Component {
|
||||||
Appena sarà possibile, gli interessati verranno informati tramite email.
|
Appena sarà possibile, gli interessati verranno informati tramite email.
|
||||||
</p>
|
</p>
|
||||||
</blockquote>
|
</blockquote>
|
||||||
|
<p>
|
||||||
|
Partecipare al Team-based Learning può portare all'ottenimento di fino a 3 punti bonus all'esame e esenzione dalla domanda di Matlab.
|
||||||
|
</p>
|
||||||
|
</Panel>
|
||||||
|
</Split>
|
||||||
|
<Split title={"Contatti"}>
|
||||||
|
<Panel title={"Email della prof.ssa"}>
|
||||||
|
<p>
|
||||||
|
<a href={"mailto:silvia.bonettini@unimore.it"}>silvia.bonettini@unimore.it</a>
|
||||||
|
</p>
|
||||||
|
</Panel>
|
||||||
|
<Panel title={"Ricevimento"}>
|
||||||
|
<p>
|
||||||
|
Su appuntamento.
|
||||||
|
</p>
|
||||||
|
</Panel>
|
||||||
|
</Split>
|
||||||
|
<Split title={"Esame"}>
|
||||||
|
<Panel title={"Orale"}>
|
||||||
|
<p>
|
||||||
|
E' composto da:
|
||||||
|
</p>
|
||||||
|
<ul>
|
||||||
|
<li>2 domande sugli argomenti teorici</li>
|
||||||
|
<li>1 domanda di implementazione algoritmo in MATLAB <small>(facoltativa per i punteggi migliori del TBL)</small></li>
|
||||||
|
</ul>
|
||||||
|
<p>
|
||||||
|
Prossimo appello:
|
||||||
|
<Timer/>
|
||||||
|
</p>
|
||||||
|
</Panel>
|
||||||
|
</Split>
|
||||||
|
<Split title={"Algoritmi"}>
|
||||||
|
<Panel title={"Algoritmi numerici"}>
|
||||||
|
<p>
|
||||||
|
Algoritmi che hanno:
|
||||||
|
</p>
|
||||||
|
<ul>
|
||||||
|
<li>numeri reali in input e output</li>
|
||||||
|
<li>successioni delle quattro operazioni aritmetiche fondamentali come passi</li>
|
||||||
|
</ul>
|
||||||
|
</Panel>
|
||||||
|
</Split>
|
||||||
|
<Split title={"Errore di rappresentazione"}>
|
||||||
|
<Panel title={"Errore di rappresentazione"}>
|
||||||
|
<p>
|
||||||
|
Con i numeri floating point può capitare che un certo numero <Latex>{r`\alpha`}</Latex> non sia rappresentato correttamente.
|
||||||
|
</p>
|
||||||
|
<p>
|
||||||
|
In tal caso, il numero si indica con <Latex>{r`\alpha^*`}</Latex>.
|
||||||
|
</p>
|
||||||
|
</Panel>
|
||||||
|
<Panel title={"Errore assoluto"}>
|
||||||
|
<p>
|
||||||
|
È la differenza tra il numero desiderato e il numero rappresentato:
|
||||||
|
</p>
|
||||||
|
<p>
|
||||||
|
<Latex>{r`E_a = \left | \alpha - \alpha^* \right |`}</Latex>
|
||||||
|
</p>
|
||||||
|
<Example>
|
||||||
|
Vale sempre 0, tranne in caso di underflow o overflow.
|
||||||
|
</Example>
|
||||||
|
</Panel>
|
||||||
|
<Panel title={"Errore relativo"}>
|
||||||
|
<p>
|
||||||
|
Indica quanto il numero rappresentato differisce dal numero desiderato:
|
||||||
|
</p>
|
||||||
|
<p>
|
||||||
|
<Latex>{r`\forall \alpha \neq 0, E_r = \frac{E_a}{\left | \alpha \right |}`}</Latex>
|
||||||
|
</p>
|
||||||
|
</Panel>
|
||||||
|
</Split>
|
||||||
|
<Split title={"Floating point"}>
|
||||||
|
<Panel title={"Precisione di macchina"}>
|
||||||
|
<p>
|
||||||
|
L'errore relativo di un numero reale rappresentato in virgola mobile è minore o uguale alla <i>precisione di macchina</i>:
|
||||||
|
</p>
|
||||||
|
<p>
|
||||||
|
<Latex>{r`E_r \leq k \cdot \beta^{1-t}`}</Latex>
|
||||||
|
</p>
|
||||||
|
<ul>
|
||||||
|
<li>
|
||||||
|
<Latex>\beta</Latex> è uguale alla base utilizzata (solitamente 2).
|
||||||
|
</li>
|
||||||
|
<li>
|
||||||
|
<Latex>t</Latex> è uguale al numero di cifre della mantissa.
|
||||||
|
</li>
|
||||||
|
<li>
|
||||||
|
<Latex>k</Latex> è uguale a <Latex>1</Latex> se il numero viene rappresentato per troncamento oppure a <Latex>{r`\frac{1}{2}`}</Latex> se viene rappresentato per arrotondamento.
|
||||||
|
</li>
|
||||||
|
</ul>
|
||||||
|
</Panel>
|
||||||
|
</Split>
|
||||||
|
<Split title={"Operazioni di macchina"}>
|
||||||
|
<Panel title={"Un nuovo insieme"}>
|
||||||
|
<p>
|
||||||
|
L'insieme <Latex>F</Latex> è il sottoinsieme dei numeri reali rappresentabili in floating point dalla macchina che stiamo usando.
|
||||||
|
</p>
|
||||||
|
<p>
|
||||||
|
Operazioni tra elementi di <Latex>F</Latex> producono risultati in <Latex>{r`\mathbb{R}`}</Latex>, che però decaderanno nuovamente a elementi di <Latex>F</Latex>, perdendo informazioni.
|
||||||
|
</p>
|
||||||
|
<p>
|
||||||
|
Il teorema della precisione di macchina si applica quindi anche ai risultati delle operazioni.
|
||||||
|
</p>
|
||||||
|
</Panel>
|
||||||
|
<Panel title={"Caratteristiche delle operazioni di macchina"}>
|
||||||
|
<ul>
|
||||||
|
<li>Hanno più di un elemento neutro.</li>
|
||||||
|
<li>Un numero ha più opposti.</li>
|
||||||
|
<li>Non sono associative.</li>
|
||||||
|
<li>Non sono distributive.</li>
|
||||||
|
<li>Non vale la legge di annullamento del prodotto.</li>
|
||||||
|
</ul>
|
||||||
</Panel>
|
</Panel>
|
||||||
</Split>
|
</Split>
|
||||||
</div>
|
</div>
|
||||||
|
|
|
||||||
Loading…
Reference in a new issue