Skip to content

Commit e349d4e

Browse files
EnriquePHEnriquePH
committed
binomial matrix 1
1 parent 1e2bc1b commit e349d4e

26 files changed

Lines changed: 1748 additions & 88 deletions

File tree

‎_quarto.yml‎

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -13,7 +13,7 @@ execute:
1313
freeze: auto
1414

1515
website:
16-
title: "EnergyCode"
16+
title: "ENERGYCODE"
1717
description: "Personal blog focused on Data Science, Applied Mathematics, Engineering, and Programming with R and Python"
1818
site-url: "https://www.energycode.org"
1919
repo-url: "https://github.com/EnriquePH/energycode.org"

‎_site/TODO.html‎

Lines changed: 2 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -7,7 +7,7 @@
77
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
88

99

10-
<title>todo – EnergyCode</title>
10+
<title>todo – ENERGYCODE</title>
1111
<style>
1212
code{white-space: pre-wrap;}
1313
span.smallcaps{font-variant: small-caps;}
@@ -90,7 +90,7 @@
9090
<div class="navbar-container container-fluid">
9191
<div class="navbar-brand-container mx-auto">
9292
<a class="navbar-brand" href="./index.html">
93-
<span class="navbar-title">EnergyCode</span>
93+
<span class="navbar-title">ENERGYCODE</span>
9494
</a>
9595
</div>
9696
<div id="quarto-search" class="" title="Search"></div>

‎_site/about.html‎

Lines changed: 2 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -7,7 +7,7 @@
77
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
88

99

10-
<title>About – EnergyCode</title>
10+
<title>About – ENERGYCODE</title>
1111
<style>
1212
code{white-space: pre-wrap;}
1313
span.smallcaps{font-variant: small-caps;}
@@ -90,7 +90,7 @@
9090
<div class="navbar-container container-fluid">
9191
<div class="navbar-brand-container mx-auto">
9292
<a class="navbar-brand" href="./index.html">
93-
<span class="navbar-title">EnergyCode</span>
93+
<span class="navbar-title">ENERGYCODE</span>
9494
</a>
9595
</div>
9696
<div id="quarto-search" class="" title="Search"></div>

‎_site/index.html‎

Lines changed: 40 additions & 4 deletions
Original file line numberDiff line numberDiff line change
@@ -7,7 +7,7 @@
77
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
88

99

10-
<title>Blog – EnergyCode</title>
10+
<title>Blog – ENERGYCODE</title>
1111
<style>
1212
code{white-space: pre-wrap;}
1313
span.smallcaps{font-variant: small-caps;}
@@ -150,7 +150,7 @@
150150
<div class="navbar-container container-fluid">
151151
<div class="navbar-brand-container mx-auto">
152152
<a class="navbar-brand" href="./index.html">
153-
<span class="navbar-title">EnergyCode</span>
153+
<span class="navbar-title">ENERGYCODE</span>
154154
</a>
155155
</div>
156156
<div id="quarto-search" class="" title="Search"></div>
@@ -189,7 +189,7 @@
189189
<!-- margin-sidebar -->
190190
<div id="quarto-margin-sidebar" class="sidebar margin-sidebar">
191191

192-
<h5 class="quarto-listing-category-title">Categories</h5><div class="quarto-listing-category category-default"><div class="category" data-category="">All <span class="quarto-category-count">(7)</span></div><div class="category" data-category="Qmlub21pYWw=">Binomial <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Q2F0YWxhbidzJTIwbnVtYmVycw==">Catalan's numbers <span class="quarto-category-count">(1)</span></div><div class="category" data-category="RGV0ZXJtaW5hbnQ=">Determinant <span class="quarto-category-count">(2)</span></div><div class="category" data-category="RXNwZWNpYWwlMjBudW1iZXJz">Especial numbers <span class="quarto-category-count">(1)</span></div><div class="category" data-category="RXVjbGlk">Euclid <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Rmlib25hY2Np">Fibonacci <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TGF0ZXg=">Latex <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TGluZWFyJTIwQWxnZWJyYQ==">Linear Algebra <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TWFjaGluZSUyMExlYXJuaW5n">Machine Learning <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TWF0aA==">Math <span class="quarto-category-count">(4)</span></div><div class="category" data-category="TnVtcHk=">Numpy <span class="quarto-category-count">(1)</span></div><div class="category" data-category="T0VJUw==">OEIS <span class="quarto-category-count">(1)</span></div><div class="category" data-category="UHl0aG9u">Python <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Ug==">R <span class="quarto-category-count">(3)</span></div><div class="category" data-category="U2VyaWVz">Series <span class="quarto-category-count">(1)</span></div></div></div>
192+
<h5 class="quarto-listing-category-title">Categories</h5><div class="quarto-listing-category category-default"><div class="category" data-category="">All <span class="quarto-category-count">(8)</span></div><div class="category" data-category="Qmlub21pYWw=">Binomial <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Q2F0YWxhbidzJTIwbnVtYmVycw==">Catalan's numbers <span class="quarto-category-count">(1)</span></div><div class="category" data-category="RGV0ZXJtaW5hbnQ=">Determinant <span class="quarto-category-count">(2)</span></div><div class="category" data-category="RXNwZWNpYWwlMjBudW1iZXJz">Especial numbers <span class="quarto-category-count">(1)</span></div><div class="category" data-category="RXVjbGlk">Euclid <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Rmlib25hY2Np">Fibonacci <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TGF0ZXg=">Latex <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TGluZWFyJTIwQWxnZWJyYQ==">Linear Algebra <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TWFjaGluZSUyMExlYXJuaW5n">Machine Learning <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TWF0aA==">Math <span class="quarto-category-count">(4)</span></div><div class="category" data-category="TnVtcHk=">Numpy <span class="quarto-category-count">(1)</span></div><div class="category" data-category="T0VJUw==">OEIS <span class="quarto-category-count">(1)</span></div><div class="category" data-category="UHl0aG9u">Python <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Ug==">R <span class="quarto-category-count">(3)</span></div><div class="category" data-category="U2VyaWVz">Series <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Y29tYmluYXRvcmljcw==">combinatorics <span class="quarto-category-count">(1)</span></div><div class="category" data-category="bWF0aA==">math <span class="quarto-category-count">(1)</span></div><div class="category" data-category="bWF0cmljZXM=">matrices <span class="quarto-category-count">(1)</span></div></div></div>
193193
<!-- main -->
194194
<main class="content" id="quarto-document-content">
195195

@@ -218,7 +218,7 @@ <h1 class="title">Blog</h1>
218218

219219
<div class="quarto-listing quarto-listing-container-grid" id="listing-listing">
220220
<div class="list grid quarto-listing-cols-3">
221-
<div class="g-col-1" data-index="0" data-categories="TWF0aCUyQ1NlcmllcyUyQ0VzcGVjaWFsJTIwbnVtYmVycw==" data-listing-date-sort="1767826800000" data-listing-file-modified-sort="1768159342895" data-listing-date-modified-sort="NaN" data-listing-reading-time-sort="2" data-listing-word-count-sort="344">
221+
<div class="g-col-1" data-index="0" data-categories="TWF0aCUyQ1NlcmllcyUyQ0VzcGVjaWFsJTIwbnVtYmVycw==" data-listing-date-sort="1767826800000" data-listing-file-modified-sort="1768240848655" data-listing-date-modified-sort="NaN" data-listing-reading-time-sort="2" data-listing-word-count-sort="345">
222222
<a href="./posts/08012026-suma-reciprocos-tetraedricos/index.html" class="quarto-grid-link">
223223
<div class="quarto-grid-item card h-100 card-left">
224224
<p class="card-img-top">
@@ -468,6 +468,42 @@ <h5 class="no-anchor card-title listing-title">
468468
</div>
469469
</a>
470470
</div>
471+
<div class="g-col-1" data-index="7" data-categories="bWF0aCUyQ21hdHJpY2VzJTJDY29tYmluYXRvcmljcw==" data-listing-date-sort="1253570400000" data-listing-file-modified-sort="1768653908102" data-listing-date-modified-sort="NaN" data-listing-reading-time-sort="5" data-listing-word-count-sort="860">
472+
<a href="./posts/12012026-binomial-matrix-i/index.html" class="quarto-grid-link">
473+
<div class="quarto-grid-item card h-100 card-left">
474+
<p class="card-img-top">
475+
<img loading="lazy" src="./posts/12012026-binomial-matrix-i/tartaglia-portrait.jpg" class="thumbnail-image card-img" style="height: 150px;">
476+
</p>
477+
<div class="card-body post-contents">
478+
<h5 class="no-anchor card-title listing-title">
479+
BINOMIAL MATRIX (I)
480+
</h5>
481+
<div class="listing-categories">
482+
<div class="listing-category" onclick="window.quartoListingCategory('bWF0aA=='); return false;">
483+
math
484+
</div>
485+
<div class="listing-category" onclick="window.quartoListingCategory('bWF0cmljZXM='); return false;">
486+
matrices
487+
</div>
488+
<div class="listing-category" onclick="window.quartoListingCategory('Y29tYmluYXRvcmljcw=='); return false;">
489+
combinatorics
490+
</div>
491+
</div>
492+
<div class="card-text listing-description">
493+
A matrix related to Pascal’s triangle, also known as Tartaglia’s triangle
494+
</div>
495+
<div class="card-attribution card-text-small justify">
496+
<div class="listing-author">
497+
Enrique Pérez Herrero
498+
</div>
499+
<div class="listing-date">
500+
Sep 22, 2009
501+
</div>
502+
</div>
503+
</div>
504+
</div>
505+
</a>
506+
</div>
471507
</div>
472508
<div class="listing-no-matching d-none">
473509
No matching items

‎_site/listings.json‎

Lines changed: 2 additions & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -15,7 +15,8 @@
1515
"/posts/02082023-numpy-latex/index.html",
1616
"/posts/01082023-blog-logo/index.html",
1717
"/posts/09032022-confusion-matrix/index.html",
18-
"/posts/05032022-max-determinant/index.html"
18+
"/posts/05032022-max-determinant/index.html",
19+
"/posts/12012026-binomial-matrix-i/index.html"
1920
]
2021
}
2122
]

‎_site/posts/01082023-blog-logo/index.html‎

Lines changed: 2 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -6,7 +6,7 @@
66
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
77
<meta name="author" content="Enrique Pérez Herrero">
88
<meta name="description" content="Blog logo with hexSticker">
9-
<title>Blog Logo Sticker – EnergyCode</title>
9+
<title>Blog Logo Sticker – ENERGYCODE</title>
1010
<style>
1111
code{white-space: pre-wrap;}
1212
span.smallcaps{font-variant: small-caps;}
@@ -139,7 +139,7 @@
139139
<header id="quarto-header" class="headroom fixed-top quarto-banner"><nav class="navbar navbar-expand-lg " data-bs-theme="dark"><div class="navbar-container container-fluid">
140140
<div class="navbar-brand-container mx-auto">
141141
<a class="navbar-brand" href="../../index.html">
142-
<span class="navbar-title">EnergyCode</span>
142+
<span class="navbar-title">ENERGYCODE</span>
143143
</a>
144144
</div>
145145
<div id="quarto-search" class="" title="Buscar"></div>

‎_site/posts/02082023-numpy-latex/index.html‎

Lines changed: 2 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -10,7 +10,7 @@
1010
<meta name="dcterms.date" content="2023-08-02">
1111
<meta name="description" content="LaTeX matrices and determinants from NumPy arrays">
1212

13-
<title>Convert a NumPy array to LaTeX – EnergyCode</title>
13+
<title>Convert a NumPy array to LaTeX – ENERGYCODE</title>
1414
<style>
1515
code{white-space: pre-wrap;}
1616
span.smallcaps{font-variant: small-caps;}
@@ -177,7 +177,7 @@
177177
<div class="navbar-container container-fluid">
178178
<div class="navbar-brand-container mx-auto">
179179
<a class="navbar-brand" href="../../index.html">
180-
<span class="navbar-title">EnergyCode</span>
180+
<span class="navbar-title">ENERGYCODE</span>
181181
</a>
182182
</div>
183183
<div id="quarto-search" class="" title="Search"></div>

‎_site/posts/05032022-max-determinant/index.html‎

Lines changed: 2 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -10,7 +10,7 @@
1010
<meta name="dcterms.date" content="2022-03-05">
1111
<meta name="description" content="Determinants of special square matrices with elements defined as the Maximum or Minimum of the Indices.">
1212

13-
<title>Max Determinant – EnergyCode</title>
13+
<title>Max Determinant – ENERGYCODE</title>
1414
<style>
1515
code{white-space: pre-wrap;}
1616
span.smallcaps{font-variant: small-caps;}
@@ -197,7 +197,7 @@
197197
<div class="navbar-container container-fluid">
198198
<div class="navbar-brand-container mx-auto">
199199
<a class="navbar-brand" href="../../index.html">
200-
<span class="navbar-title">EnergyCode</span>
200+
<span class="navbar-title">ENERGYCODE</span>
201201
</a>
202202
</div>
203203
<div id="quarto-search" class="" title="Search"></div>

‎_site/posts/08012026-suma-reciprocos-tetraedricos/index.html‎

Lines changed: 4 additions & 4 deletions
Original file line numberDiff line numberDiff line change
@@ -9,7 +9,7 @@
99
<meta name="author" content="Enrique Pérez Herrero">
1010
<meta name="description" content="Sumas de la serie de los recíprocos de los números tetraédricos">
1111

12-
<title>Suma de los recíprocos de los números tetraédricos – EnergyCode</title>
12+
<title>Suma de los recíprocos de los números tetraédricos – ENERGYCODE</title>
1313
<style>
1414
code{white-space: pre-wrap;}
1515
span.smallcaps{font-variant: small-caps;}
@@ -196,7 +196,7 @@
196196
<div class="navbar-container container-fluid">
197197
<div class="navbar-brand-container mx-auto">
198198
<a class="navbar-brand" href="../../index.html">
199-
<span class="navbar-title">EnergyCode</span>
199+
<span class="navbar-title">ENERGYCODE</span>
200200
</a>
201201
</div>
202202
<div id="quarto-search" class="" title="Buscar"></div>
@@ -363,7 +363,7 @@ <h2 data-number="5" data-anchor-id="números-armónicos"><span class="header-sec
363363
+ \frac{1}{2(n+2)}
364364
\end{align}
365365
\tag{10}</span></span></p>
366-
<p>Aquí se observa claramente el carácter <strong>telescópico</strong> de la serie: los términos <span class="math inline">H_n</span> se cancelan, evitando la aparición de la constante de <em>Euler-Mascheroni</em> (<span class="math inline">\gamma</span>) o la <em>función digamma</em> () de la extensión clásica de los números armónicos.</p>
366+
<p>Aquí se observa claramente el carácter <strong>telescópico</strong> de la serie: los términos <span class="math inline">H_n</span> se cancelan, evitando la aparición de la constante de <em>Euler-Mascheroni</em> (<span class="math inline">\gamma</span>) o la <em>función digamma</em> (<span class="math inline">\psi</span>) partiendo de la extensión clásica de los números armónicos.</p>
367367
<p><span id="eq-tet011"><span class="math display">
368368
H_{n} = \gamma + \psi(n+1)
369369
\tag{11}</span></span></p>
@@ -1194,7 +1194,7 @@ <h2 data-number="7" data-anchor-id="suma-infinita"><span class="header-section-n
11941194
<span id="cb1-111"><a href="#cb1-111" aria-hidden="true" tabindex="-1"></a></span>
11951195
<span id="cb1-112"><a href="#cb1-112" aria-hidden="true" tabindex="-1"></a></span>
11961196
<span id="cb1-113"><a href="#cb1-113" aria-hidden="true" tabindex="-1"></a>Aquí se observa claramente el carácter **telescópico** de la serie: los términos</span>
1197-
<span id="cb1-114"><a href="#cb1-114" aria-hidden="true" tabindex="-1"></a>$H_n$ se cancelan, evitando la aparición de la constante de _Euler-Mascheroni_ ($\gamma$) o la _función digamma_ (\psi) de la extensión clásica de los números armónicos.</span>
1197+
<span id="cb1-114"><a href="#cb1-114" aria-hidden="true" tabindex="-1"></a>$H_n$ se cancelan, evitando la aparición de la constante de _Euler-Mascheroni_ ($\gamma$) o la _función digamma_ ($\psi$) partiendo de la extensión clásica de los números armónicos.</span>
11981198
<span id="cb1-115"><a href="#cb1-115" aria-hidden="true" tabindex="-1"></a></span>
11991199
<span id="cb1-116"><a href="#cb1-116" aria-hidden="true" tabindex="-1"></a>$$</span>
12001200
<span id="cb1-117"><a href="#cb1-117" aria-hidden="true" tabindex="-1"></a>H_{n} = \gamma + \psi(n+1)</span>

‎_site/posts/09032022-confusion-matrix/index.html‎

Lines changed: 2 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -7,7 +7,7 @@
77
<meta name="author" content="Enrique Pérez Herrero">
88
<meta name="dcterms.date" content="2022-03-09">
99
<meta name="description" content="Plotting the Confusion Matrix with ggplot in R">
10-
<title>Confusion Matrix in R – EnergyCode</title>
10+
<title>Confusion Matrix in R – ENERGYCODE</title>
1111
<style>
1212
code{white-space: pre-wrap;}
1313
span.smallcaps{font-variant: small-caps;}
@@ -120,7 +120,7 @@
120120
<header id="quarto-header" class="headroom fixed-top quarto-banner"><nav class="navbar navbar-expand-lg " data-bs-theme="dark"><div class="navbar-container container-fluid">
121121
<div class="navbar-brand-container mx-auto">
122122
<a class="navbar-brand" href="../../index.html">
123-
<span class="navbar-title">EnergyCode</span>
123+
<span class="navbar-title">ENERGYCODE</span>
124124
</a>
125125
</div>
126126
<div id="quarto-search" class="" title="Search"></div>

0 commit comments

Comments
 (0)