Update i guess

docs/CNAME

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-uni.steffo.eu

docs/push-manifest.json

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docs/ssr-build/style.114f1.css

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docs/style.114f1.css

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docs/sw.js

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src/components/hypothesis.css

@@ -0,0 +1,3 @@
+.hypothesis {
+
+}

src/components/hypothesis.js

@@ -0,0 +1,15 @@
+import style from "./hypothesis.css";
+import {Component} from "preact";
+
+export default class Hypothesis extends Component {
+    render() {
+        return (
+            <div class={style.hypothesis}>
+                <h4>
+                    Ipotesi
+                </h4>
+                {this.props.children}
+            </div>
+        )
+    }
+}

src/components/panel.js

@@ -2,6 +2,10 @@ import style from "./panel.css";
 import { Component } from 'preact';
 
 export default class Panel extends Component {
+	getStyle() {
+		return style.panel;
+	};
+
 	render() {
 		let title = null;
 		if(this.props.title !== undefined) {
@@ -9,7 +13,7 @@ export default class Panel extends Component {
 		}
 
 		return (
-			<div class={style.panel} id={this.props.id}>
+			<div class={this.getStyle()} id={this.props.id}>
 				{title}
 				{this.props.children}
 			</div>

src/components/proof.js

@@ -0,0 +1,15 @@
+import style from "./proof.css";
+import {Component} from "preact";
+
+export default class Proof extends Component {
+    render() {
+        return (
+            <div class={style.proof}>
+                <h4>
+                    Dimostrazione
+                </h4>
+                {this.props.children}
+            </div>
+        )
+    }
+}

src/components/theorem.css

@@ -0,0 +1,4 @@
+.theorem {
+    background-color: rgba(160, 255, 204, 0.1);
+    color: #a0ffcc;
+}

src/components/theorem.js

@@ -0,0 +1,8 @@
+import style from "./theorem.css";
+import Panel from "./panel.js";
+
+export default class Theorem extends Panel {
+    getStyle() {
+        return super.getStyle() + " " + style.theorem;
+    }
+}

src/components/thesis.css

@@ -0,0 +1,3 @@
+.thesis {
+
+}

src/components/thesis.js

@@ -0,0 +1,15 @@
+import style from "./thesis.css";
+import {Component} from "preact";
+
+export default class Thesis extends Component {
+    render() {
+        return (
+            <div class={style.thesis}>
+                <h4>
+                    Tesi
+                </h4>
+                {this.props.children}
+            </div>
+        )
+    }
+}

src/index.css

@@ -9,13 +9,21 @@ body {
 }
 
 h1, h2, h3, h4, h5, h6 {
-	text-align: center;
 	margin-top: 4px;
 	margin-bottom: 4px;
 	color: #ffffff;
 	font-weight: normal;
 }
 
+h1, h2, h3 {
+	text-align: center;
+}
+
+h4, h5, h6 {
+	font-weight: bold;
+}
+
+
 a {
     color: #00caca;
     text-decoration: none;

src/pages/home.js

@@ -14,6 +14,9 @@ export default class Home extends Component {
                         <p>
                             Appunti scritti mentre studiavo per l'esame di <a href={"http://personale.unimore.it/rubrica/contenutiad/llarocca/2019/58028/N0/N0/9999"}>Statistica ed elementi di probabilità</a>  del <a href="https://www.unimore.it/didattica/mlaurea.html?ID=54">corso triennale di Informatica</a> all'<a href="https://www.unimore.it/">Unimore</a> del Prof. <a href={"http://personale.unimore.it/rubrica/dettaglio/llarocca"}>Luca La Rocca</a>.
                         </p>
+                        <p>
+                            <Todo>TODO: è ancora incompleto!</Todo>
+                        </p>
                     </Panel>
                     <Panel title={<a href="https://github.com/Steffo99/cleaver">Cleaver</a>}>
                         <p>

src/pages/statistica.js

@@ -6,6 +6,10 @@ import Split from '../components/split';
 import Plus from '../components/plus';
 import Minus from '../components/minus';
 import Todo from '../components/todo';
+import Theorem from "../components/theorem";
+import Hypothesis from "../components/hypothesis";
+import Thesis from "../components/thesis";
+import Proof from "../components/proof";
 
 const r = String.raw;
 
@@ -304,42 +308,187 @@ export default class Statistica extends Component {
                 <Split>
                     <Panel title={"Disposizioni"}>
                         <p>
-                            Estraggo un numero, mi segno che numero ho estratto e lo <b>tengo fuori dal sacchetto</b>.
+                            Estraggo un numero, da un sacchetto con <Latex>n</Latex> numeri, mi segno che numero ho estratto e lo <b>tengo fuori dal sacchetto</b>. Ripeto per <Latex>k</Latex> volte.
                         </p>
                         <p>
                             <b>Tengo conto</b> dell'ordine in cui ho estratto i numeri.
                         </p>
+                        <p>
+                            <Latex>{r`\boldsymbol{D}_{n, k} = \frac{n!}{(n - k)!}`}</Latex>
+                        </p>
                     </Panel>
                     <Panel title={"Disposizioni con ripetizione"}>
                         <p>
-                            Estraggo un numero, mi segno che numero ho estratto e lo <b>rimetto nel sacchetto</b>.
+                            Estraggo un numero, da un sacchetto con <Latex>n</Latex> numeri, mi segno che numero ho estratto e lo <b>rimetto nel sacchetto</b>. Ripeto per <Latex>k</Latex> volte.
                         </p>
                         <p>
                             <b>Tengo conto</b> dell'ordine in cui ho estratto i numeri.
                         </p>
+                        <p>
+                            <Latex>{r`\boldsymbol{D}^{r}_{n, k} = n^k`}</Latex>
+                        </p>
                     </Panel>
                     <Panel title={"Combinazioni"}>
                         <p>
-                            Estraggo un numero, mi segno che numero ho estratto e lo <b>tengo fuori dal sacchetto</b>.
+                            Estraggo un numero, da un sacchetto con <Latex>n</Latex> numeri, mi segno che numero ho estratto e lo <b>tengo fuori dal sacchetto</b>. Ripeto per <Latex>k</Latex> volte.
                         </p>
                         <p>
                             <b>Non mi interessa</b> l'ordine in cui ho estratto i numeri.
                         </p>
+                        <p>
+                            <Latex>{r`\boldsymbol{C}_{n, k} = \binom{n}{k} = \frac{n!}{(k)! \cdot (n - k)!}`}</Latex>
+                        </p>
                     </Panel>
                     <Panel title={"Combinazioni con ripetizione"}>
                         <p>
-                            Estraggo un numero, mi segno che numero ho estratto e lo <b>rimetto nel sacchetto</b>.
+                            Estraggo un numero, da un sacchetto con <Latex>n</Latex> numeri, mi segno che numero ho estratto e lo <b>rimetto nel sacchetto</b>. Ripeto per <Latex>k</Latex> volte.
                         </p>
                         <p>
                             <b>Non mi interessa</b> l'ordine in cui ho estratto i numeri.
                         </p>
-                    </Panel>
-                    <Panel title={"Permutazioni"}>
                         <p>
-                            Estraggo N numeri e guardo in quanti ordini diversi li posso mettere.
+                            <Latex>{r`\boldsymbol{C}^{r}_{n, k} = \binom{n + k - 1}{k} = \frac{(n + k - 1)!}{(k)! \cdot (n - 1)!}`}</Latex>
+                        </p>
+                        <p>
+                            <Todo>TODO: Controllare la formula.</Todo>
                         </p>
                     </Panel>
                 </Split>
+                <Split>
+                    <Panel title={"Permutazioni"}>
+                        <p>
+                            Estraggo <Latex>n</Latex> numeri e guardo in quanti ordini diversi li posso mettere.
+                        </p>
+                        <p>
+                            <Latex>{r`\boldsymbol{P}_n = n!`}</Latex>
+                        </p>
+                    </Panel>
+                </Split>
+                <Split>
+                    <Panel title={"Spazi equiprobabili geometrici"}>
+                        <p>
+                            Gli spazi campionari possono avere un numero infinito di esisti: si ha equiprobabilità se nessun esito è privilegiato rispetto agli altri.
+                        </p>
+                    </Panel>
+                </Split>
+                <Split title={"Probabilità condizionata"}>
+                    <Panel title={<span>E dato F</span>}>
+                        <p>
+                            La probabilità di un evento <Latex>E</Latex> dato un altro evento <Latex>F</Latex> indica la probabilità che si verifichi <Latex>E</Latex> sapendo che <b>si è già verificato</b> <Latex>F</Latex>.
+                        </p>
+                        <p>
+                            <Latex>{r`P(E|F) = \frac{P(E \cap F)}{P(F)}`}</Latex>
+                        </p>
+                    </Panel>
+                    <Panel title={"Eventi indipendenti"}>
+                        <p>
+                            Se due eventi sono indipendenti, sapere che uno dei due si è verificato non influisce sulle probabilità che si sia verificato l'altro.
+                        </p>
+                        <p>
+                            <Latex>{r`E, F\ indipendenti\ \Longleftrightarrow P(E|F) = P(E), P(F|E) = P(F)`}</Latex>
+                        </p>
+                    </Panel>
+                    <Panel title={"Eventi mutualmente esclusivi"}>
+                        <p>
+                            Se due eventi sono mutualmente esclusivi, entrambe le loro probabilità condizionate saranno uguali a 0.
+                        </p>
+                        <p>
+                            <Latex>{r`E \cap F = \emptyset \Longleftrightarrow P(E|F) = P(F|E) = 0`}</Latex>
+                        </p>
+                    </Panel>
+                    <Panel title={"Regola della catena"}>
+                        <p>
+                            Si può sfruttare la formula inversa della probabilità condizionata per calcolare catene di intersezioni:
+                        </p>
+                        <p>
+                            <Latex>{r`P(E_1 \cap \times \cap E_n) = P(E_1) \times P(E_2 | E_1) \times \dots \times P(E_n | E_1 \cap E_2 \cap \dots \cap E_{n-1})`}</Latex>
+                        </p>
+                    </Panel>
+                </Split>
+                <Split>
+                    <Panel title={"Partizioni"}>
+                        <p>
+                            E' una partizione dello spazio campionario un insieme di eventi:
+                        </p>
+                        <ul>
+                            <li><b>Finito</b>.</li>
+                            <li>In cui tutti gli eventi hanno <b>probabilità diversa da 0</b>.</li>
+                            <li>In cui tutti gli eventi sono <b>mutualmente esclusivi</b>.</li>
+                            <li>L'unione di tutti gli eventi <b>copre lo spazio campionario</b>.</li>
+                        </ul>
+                        <p>
+                            Se lo spazio campionario fosse una torta, una sua partizione sarebbe l'insieme delle fette di uno dei modi in cui si potrebbe tagliare.
+                        </p>
+                        <p>
+                            La partizione <Latex>{r`E_i`}</Latex> è composta dagli eventi <Latex>{r`E_1`}</Latex>, <Latex>{r`E_2`}</Latex>, <Latex>{r`E_3`}</Latex>, fino a <Latex>{r`E_n`}</Latex>.
+                        </p>
+                    </Panel>
+                    <Theorem title={"Legge delle alternative"}>
+                        <Hypothesis>
+                            <ul>
+                                <li><Latex>E_i</Latex> <b>partizione</b> di <Latex>{r`\Omega`}</Latex></li>
+                                <li><Latex>{r`F`}</Latex> <b>evento</b> <Latex>{r`\in \Omega`}</Latex></li>
+                            </ul>
+                        </Hypothesis>
+                        <Thesis>
+                            <p>
+                                La probabilità che si verifichi un evento è pari alla somma delle probabilità dell'evento stesso dati tutti gli eventi di una partizione.
+                            </p>
+                            <p>
+                                <Latex>{r`P(F) = \sum_{i} P(F|E_i) \cdot P(E_i)`}</Latex>
+                            </p>
+                        </Thesis>
+                        <Proof>
+                            <p>
+                                Per la definizione di probabilità condizionata:
+                            </p>
+                            <p>
+                                <Latex>{r`P(F|E_i) \cdot P(E_i) = P(F \cap E_i)`}</Latex>
+                            </p>
+                            <p>
+                                Essendo parte di una partizione, tutti gli <Latex>E_i</Latex> sono distinti:
+                            </p>
+                            <p>
+                                <Latex>{r`\forall i, \exists! E_i`}</Latex>
+                            </p>
+                            <p>
+                                Essendo mutualmente esclusivi, le probabilità di tutti gli <Latex>E_i</Latex> possono essere sommate:
+                            </p>
+                            <p>
+                                <Latex>{r`\sum_i P(F \cap E_i) = P \left( \bigcup_i (F \cap E_i) \right)`}</Latex>
+                            </p>
+                            <p>
+                                Essendo una partizione di <Latex>{r`\Omega`}</Latex>, allora la loro unione lo forma:
+                            </p>
+                            <p>
+                                <Latex>{r`\bigcup_i ( F \cap E_i ) = F \cap \left( \bigcup_i E_i \right) = F \cap \Omega = F`}</Latex>
+                            </p>
+                        </Proof>
+                    </Theorem>
+                </Split>
+                <Split>
+                    <Panel title={"Legge condizionata delle alternative"}>
+                        <p>
+                            La legge delle alternative funziona anche per gli eventi, non solo per <Latex>{r`\Omega`}</Latex>:
+                        </p>
+                        <p>
+                            <Latex>{r`P(F|G) = \sum_i P(F|E_i \cap G) \cdot P(E_i | G)`}</Latex>
+                        </p>
+                    </Panel>
+                </Split>
+                <Split>
+                    <Theorem title={"Formula di Bayes"}>
+                        <Hypothesis>
+
+                        </Hypothesis>
+                        <Thesis>
+
+                        </Thesis>
+                        <Proof>
+
+                        </Proof>
+                    </Theorem>
+                </Split>
             </div>
         )
 	}