git.iko.soy/ilyakooo0.github.io
on master help sign in
Added everything
commit32f0cda0d95139e09559287e7a58206c31c7787f authorilyakooo0 <ilyakooo0@gmail.com> dateThu 19 Oct 2017, 22:07 (9 years ago) parent24ad6b1
17 files changed+371−99
.gitignore+3−1 _config.yml+24 _includes/footer.html+5 _includes/head.html+14 _includes/header.html+7 _includes/logo.html+13 _includes/redirect.html+9 _layouts/default.html+20 _layouts/page.html+7 css/style.sass+143 diskraKR1.html+6 index.html+24−18 linalKR1Theory.md+69 logo.png logo.svg+21 proga.html+6 style.sass−80
.gitignore+3−1
@@ -1 +1,3 @@
1−_site
1+_site
2+.sass-cache
3+.jekyll-metadata
_config.yml+24
@@ -0,0 +1,24 @@
1+# Welcome to Jekyll!
2+#
3+# This config file is meant for settings that affect your whole blog, values
4+# which you are expected to set up once and rarely need to edit after that.
5+# For technical reasons, this file is *NOT* reloaded automatically when you use
6+# 'jekyll serve'. If you change this file, please restart the server process.
7+
8+# Site settings
9+title: foo
10+# email: your-email@domain.com
11+# description: > # this means to ignore newlines until "baseurl:"
12+# Write an awesome description for your new site here. You can edit this
13+# line in _config.yml. It will appear in your document head meta (for
14+# Google search results) and in your feed.xml site description.
15+# baseurl: "" # the subpath of your site, e.g. /blog
16+# url: "http://yourdomain.com" # the base hostname & protocol for your site
17+
18+# Build settings
19+markdown: kramdown
20+
21+sass:
22+ sass_dir: _sass
23+
24+pageTags: ["Linal", "Proga"]
_includes/footer.htmlnew file+5
@@ -0,0 +1,5 @@
1+<footer>
2+ <div class="contact">
3+ если что-то не так, то <a href="https://vk.com/ilyakooo0">напишите мне</a> плиз
4+ </div>
5+</footer>
_includes/head.htmlnew file+14
@@ -0,0 +1,14 @@
1+<head>
2+ <meta charset="utf-8">
3+ <meta http-equiv="X-UA-Compatible" content="IE=edge">
4+ <meta name="viewport" content="width=device-width, initial-scale=1">
5+
6+ <title>{% if page.title %}{{ page.title | escape }}{% else %}{{ site.title | escape }}{% endif %}</title>
7+ <meta name="description" content="{% if page.excerpt %}{{ page.excerpt | strip_html | strip_newlines | truncate: 160 }}{% else %}{{ site.description }}{% endif %}">
8+
9+ <link rel="stylesheet" href="css/style.css">
10+ <link href="https://fonts.googleapis.com/css?family=PT+Mono|PT+Serif&amp;subset=cyrillic" rel="stylesheet">
11+<script type="text/javascript" async
12+ src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.2/MathJax.js?config=TeX-MML-AM_CHTML">
13+</script>
14+</head>
_includes/header.htmlnew file+7
@@ -0,0 +1,7 @@
1+<div id="header">
2+ <div id="logo">
3+ <a href="/">
4+ {% include logo.html %}
5+ </a>
6+ </div>
7+</div>
_includes/logo.htmlnew file+13
@@ -0,0 +1,13 @@
1+<?xml version="1.0" encoding="UTF-8"?>
2+<svg width="400px" height="400px" viewBox="0 0 400 400" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
3+
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_includes/redirect.htmlnew file+9
@@ -0,0 +1,9 @@
1+<html>
2+<head>
3+ <meta charset="utf-8">
4+ <meta http-equiv="refresh" content="0; URL='{{ include.url }}'" />
5+ <link href="style.css" rel="stylesheet" type="text/css">
6+
7+</head>
8+</html>
9+
_layouts/default.htmlnew file+20
@@ -0,0 +1,20 @@
1+<!DOCTYPE html>
2+<html>
3+
4+ {% include head.html %}
5+
6+ <body>
7+
8+ {% include header.html %}
9+
10+ <div class="page-content">
11+ <div class="wrapper">
12+ {{ content }}
13+ </div>
14+ </div>
15+
16+ {% include footer.html %}
17+
18+ </body>
19+
20+</html>
_layouts/page.htmlnew file+7
@@ -0,0 +1,7 @@
1+---
2+layout: default
3+---
4+
5+<div class="page">
6+ {{ content }}
7+</div>
css/style.sassnew file+143
@@ -0,0 +1,143 @@
1+---
2+---
3+
4+$phoneWidth: 800px
5+
6+$bodyFontSize: 14pt
7+$phoneBodyFontSize: 12pt
8+
9+$h3FontSize: 17pt
10+$phoneH3FontSize: 15pt
11+
12+$h2FontSize: 31pt
13+$phoneH2FontSize: 21pt//$h3FontSize
14+
15+$h1FontSize: 42pt
16+$phoneH1FontSize: $h2FontSize
17+
18+$contactFontSize: 12pt
19+$phoneContactFontSize: 10pt
20+
21+$backgroundColor: #F9F9F9
22+$textColor: #0f0f0f
23+$linkStateColor: #666
24+$linkColor: $linkStateColor
25+$linkHoverColor: $textColor
26+$logoDim: 150px
27+
28+body
29+ background-color: $backgroundColor
30+ padding: 0
31+ margin: 0
32+ font-family: 'PT Serif', serif
33+ font-size: $bodyFontSize
34+ @media screen and (max-width: $phoneWidth)
35+ font-size: $phoneBodyFontSize
36+
37+
38+a
39+ color: $linkColor
40+ text-decoration: none
41+
42+ &:hover
43+ color: $linkHoverColor
44+
45+h1, h2, h3
46+ font-family: 'PT Mono', monospace
47+ font-weight: bold
48+
49+h2
50+ font-size: $h2FontSize
51+ @media screen and (max-width: $phoneWidth)
52+ font-size: $phoneH2FontSize
53+
54+h3
55+ font-size: $h3FontSize
56+ font-weight: bold
57+ @media screen and (max-width: $phoneWidth)
58+ font-size: $phoneH3FontSize
59+
60+.tags, h1
61+ font-family: 'PT Mono', monospace
62+ font-weight: bold
63+ font-size: $h1FontSize
64+ @media screen and (max-width: $phoneWidth)
65+ font-size: $phoneH1FontSize
66+
67+h1
68+ margin: 0
69+ margin-top: 8px
70+p
71+ margin: 0
72+ margin-top: 13px
73+
74+.page-content
75+ width: 100vw
76+ align: center
77+ margin-top: 15vh
78+
79+.tags
80+ width: 90vw
81+ text-align: center
82+ margin: auto
83+
84+.tags, .pages
85+ list-style: none
86+ padding: 0
87+
88+
89+.tagGroup
90+ margin-top: 62px
91+
92+.pages
93+ margin-top: 13px
94+ line-height: 100%
95+
96+ li
97+ padding: 0
98+ margin-top: 13px
99+
100+.pageTitle
101+ @extend h2
102+
103+#logo
104+ margin-top: 13px
105+ a
106+ display: block
107+ margin-left: auto
108+ margin-right: auto
109+ width: $logoDim
110+ height: $logoDim
111+ svg
112+ display: block
113+ margin-left: auto
114+ margin-right: auto
115+ width: $logoDim
116+ height: $logoDim
117+ fill: $textColor
118+
119+ &:hover
120+ svg
121+ fill: $linkStateColor
122+
123+.page
124+ width: 85vw
125+ max-width: 800px
126+ margin-left: auto
127+ margin-right: auto
128+
129+footer
130+ margin-top: 131px
131+ width: 100vw
132+ text-align: center
133+ margin-bottom: 21px
134+ .contact
135+ width: 90vw
136+ margin-left: auto
137+ margin-right: auto
138+ font-family: 'PT Mono', monospace
139+ font-weight: bolder
140+ font-size: $contactFontSize
141+ @media screen and (max-width: $phoneWidth)
142+ font-size: $phoneContactFontSize
143+
diskraKR1.htmlnew file+6
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1+---
2+title: KR1
3+tag: Diskra
4+---
5+
6+{% include redirect.html url="https://www.google.com" %}
index.html+24−18
@@ -1,18 +1,24 @@
1−<!DOCTYPE HTML>
2−<head>
3− <link rel="stylesheet" href="style.css">
4− <link href="https://fonts.googleapis.com/css?family=PT+Mono|PT+Serif:400,700&subset=cyrillic" rel="stylesheet">
5− <meta name="viewport" content="width=device-width, initial-scale=1.0">
6−</head>
7−<body lang="en">
8− <header>
9− <img src="logo.png" id="logo">
10− <div id="links"> <a href="#"><b>codePoet</b></a><a href="#">lightCatcher</a><a href="#">contact</a></div>
11− </header>
12− <div id="content">
13− <div class="article">
14− <h1>tcVeta</h1>
15− <p> Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum..</p>
16− </div>
17− </div>
18−</body>
1+---
2+layout: default
3+title: ilyakooo0
4+---
5+
6+<div class="content">
7+ <ul class="tags">
8+
9+ {% for tag in site.pageTags %}
10+ <div class="tagGroup">
11+ <div class="pageHeader">{{tag}}</div>
12+ <ul class="pages">
13+ {% for page in site.pages %}
14+ {% if page.tag == tag %}
15+ <li>
16+ <a class="pageTitle" href="{{ page.url }}">{{ page.title }}</a>
17+ </li>
18+ {% endif %}
19+ {% endfor %}
20+ </ul>
21+ </div>
22+ {% endfor %}
23+ </ul>
24+</div>
linalKR1Theory.mdnew file+69
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1+---
2+layout: page
3+tag: Linal
4+title: KR1.1 Theory
5+permalink: linalKR11Theory
6+---
7+
8+# Linal KR1.1 Theory
9+
10+## С доказательством
11+
12+### 1. Что происходит с произведением матрицы при транспонировании? Ответ обосновать.
13+
14+\\( (\underset{m \times n}{A} \cdot \underset{n \times k}{B} )^T\_{i \, j} = \\)
15+\\( [A \cdot B]\_{j \, i} = \\)
16+\\( \sum\_{r = 1}^n [A]\_{j \, r} \cdot [B]\_{r \, i} = \\)
17+\\( \sum\_{r = 1}^n [A^T]\_{r \, j} \cdot [B^T]\_{i \, r} = \\)
18+\\( \sum\_{r = 1}^n [B^T]\_{i \, r} \cdot [A^T]\_{r \, j} = \\)
19+\\( [B^T \cdot A^T]\_{i \, j} \\)
20+
21+
22+### 2. Сформулировать и доказать критерий существования обратной матрицы. Свойства определителя предполагаются известными.
23+Обратная матрица \\( A^{-1} \\) существует для любой невырожденной матрицы \\( A \in M_n(\mathbb{R}) : det A \ne 0 \\).
24+
25+__Необходимость:__
26+
27+По определению: \\( A \cdot A^{-1} = \\) \\( E \Rightarrow det (A \cdot A^{-1} ) = \\) \\( det E = 1 \Rightarrow det A \ne 0 \\)
28+
29+__Достаточность:__
30+
31+Рассмотрим матрицу \\( B = \frac{1}{det A} \cdot \widetilde{A} \\)
32+
33+$$ \widetilde{A} =
34+\begin{pmatrix}
35+A\_{1 \, 1} & \dots & A\_{1 \, n} \\
36+\vdots & \ddots & \vdots \\
37+A\_{n \, 1} & \dots & A\_{n \, n}
38+\end{pmatrix}
39+ $$
40+
41+Покажем, что \\( B = A^{-1} \\)
42+
43+Рассмотрим \\( A \cdot B \\)
44+
45+\\( [A \cdot B]\_{i \, j} = \sum\_{r = 1}^n [A]\_{i \, r} \cdot [B]\_{r \, j} = \\) \\( \frac{1}{det A} \cdot \sum\_{r = 1}^{n} [\widetilde{A}]\_{r \, j} = \\) \\( \frac{1}{det A} \sum\_{r = 1}^{n} A\_{i \, r} = \\)
46+$$
47+\frac{1}{det A}
48+\begin{cases}
49+0, i \ne j \\
50+det A, i = j
51+\end{cases}
52+=
53+\begin{cases}
54+1, i = j \\
55+0, i \ne j
56+\end{cases}
57+$$
58+
59+### 3. Какие три условия достаточно наложить на функцию от столбцов матриц, чтобы она обязательно была детерминантом? Ответ обоснуйте для матриц второго порядка.
60+
61+### 4. Выписать формулы Крамера для квадратной матрицы произвольного порядка и доказать их.
62+
63+### 5. Сформулировать и доказать критерий линейной зависимости.
64+
65+### 6. Как связан ранг транспонированной матрицы с рангом исходной матрицы? Ответ обосновать.
66+
67+### 7. Сформулировать и доказать следствие теоремы о базисном миноре для квадратных матриц (критерий невырожденности).
68+
69+### 8. Сформулировать и доказать свойства решений однородных и неоднородных систем линейных алгеьраических уравнений.
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46− text-align: center
47− color: #191919
48− // margin-bottom: auto
49− // margin-top: auto
50−
51− a:hover
52− color: #bcbcbc
53−
54−h1
55− font-family: 'PT x', monospace
56− font-weight: bold
57− font-size: 28px
58−
59−p
60− font-family: 'PT Serif', serif
61−
62−
63−
64−@media screen and (max-width: 650px)
65− header
66− justify-content: center
67− #links
68− justify-content: center
69− a
70− width: 100%
71− margin-top: 15px
72− margin-left: 0px
73− margin-right: 0px
74− .article
75− margin-top: 30px
76−
77−@media screen and (max-width: 742px)
78− body
79− margin-left: 21px
80− margin-right: 21px