modif mineures

386bd12d · orestis.malaspin · 1db845a1 · 386bd12d · 386bd12d · 386bd12d
Commit 386bd12d authored 5 years ago by orestis.malaspin
--- a/cours.md
+++ b/cours.md
@@ -2452,8 +2452,8 @@ obtient $$\begin{aligned}
 \frac{2}{T}\int_0^T f(t)\sin(k\omega t){\mathrm{d}}t&=\sum_{j=0}^\infty a_j \delta_{jk}=a_k,\end{aligned}$$
 où $\delta_{jk}$ est le “delta de Kronecker”, dont la définition est
 $$\delta_{jk}=\left\{\begin{array}{ll}
-                $1,$&$\mbox{ si }j=k$\\
-                $0,$&$\mbox{ sinon.}$
+                1,&\mbox{ si }j=k\\
+                0,&\mbox{ sinon.}
               \end{array}\right.$$

 En multipliant l'@eq:decomp_sincos par
@@ -2471,9 +2471,9 @@ somme de façon plus concise à l’aide des nombres complexes
 ($e^{i\theta}=\cos\theta+i\cdot\sin\theta$). Effectivement cette
 réécriture est possible. Pour ce faire il faut définir de nouveaux
 coefficients $c_n$, $$c_n=\left\{\begin{array}{ll}
-                \frac{b_n+ia_n}{2}, & $\mbox{ si }$n<0\\
-                \frac{b_0}{2},      & $\mbox{ si }$n=0\\
-                \frac{b_n-ia_n}{2}, & $\mbox{ si }$n>0
+                \frac{b_n+ia_n}{2}, & \mbox{ si }n<0\\
+                \frac{b_0}{2},      & \mbox{ si }n=0\\
+                \frac{b_n-ia_n}{2}, & \mbox{ si }n>0
               \end{array}\right.$$ Avec cette notation, on peut
 réécrire l'@eq:decomp_sincos (exercice) comme
 $$f(t)=\sum_{j=-\infty}^\infty c_je^{ij\omega t}.$$ En multipliant cette

--- a/exercices/Makefile
+++ b/exercices/Makefile
-FILTERS = --filter=pandoc-numbering --filter=pandoc-crossref
-TEMPLATE = --template=./default.latex
-PDFENGINE = --pdf-engine pdflatex
+OPTIONS = --filter=pandoc-numbering
+OPTIONS += --filter=pandoc-crossref

-all: fourier.pdf fourier_serie1.pdf probas.pdf etude_fct.pdf
+PDFOPTIONS = --highlight-style kate
+PDFOPTIONS += --pdf-engine pdflatex
+PDFOPTIONS += --number-sections
+PDFOPTIONS += --template=./default.latex

-fourier.pdf: fourier.md
-	pandoc -s -o $@ $< $(FILTERS) $(TEMPLATE) $(PDFENGINE)
+HTMLOPTIONS += -t html5
+HTMLOPTIONS += -c css/prism.css
+HTMLOPTIONS += --self-contained
+HTMLOPTIONS += --mathjax=MathJax.js

-fourier_serie1.pdf: fourier_serie1.md
-	pandoc -s -o $@ $< $(FILTERS) $(TEMPLATE) $(PDFENGINE)
+MD=$(wildcard *.md)
+HTML=$(MD:%.md=%.html)
+PDF=$(MD:%.md=%.pdf)

-probas.pdf: probas.md
-	pandoc -s -o $@ $< $(FILTERS) $(TEMPLATE) $(PDFENGINE)

-etude_fct.pdf: etude_fct.md
-	pandoc -s -o $@ $< $(FILTERS) $(TEMPLATE) $(PDFENGINE)
+all: $(HTML) $(PDF)

-# matrix_inverse.pdf: matrix_inverse.md
-# 	pandoc -s -o $@ $< $(FILTERS) $(TEMPLATE) $(PDFENGINE)
+%.pdf: %.md Makefile
+	sed -e 's/language-c/C/g' -e 's/language-bash/bash/g' $< > $*_tex.md
+	pandoc -s $(OPTIONS) $(PDFOPTIONS) -o $@ $*_tex.md
+	rm $*_tex.md

-# matrice_rot.pdf: matrice_rot.md
-# 	pandoc -s -o $@ $< $(FILTERS) $(TEMPLATE) $(PDFENGINE)
+%.html: %.md Makefile
+	pandoc -s $(OPTIONS) $(HTMLOPTIONS) -o $@ $<

-# matrices.pdf: matrices.md
-# 	pandoc -s -o $@ $< $(FILTERS) $(TEMPLATE) $(PDFENGINE)
-
-# fun_lin.pdf: fun_lin.md
-# 	pandoc -s -o $@ $< $(FILTERS) $(TEMPLATE) $(PDFENGINE)
-
-# vecteurs.pdf: vecteurs.md
-# 	pandoc -s -o $@ $< $(FILTERS) $(TEMPLATE) $(PDFENGINE)
+clean:
+	rm -rf *.html *.pdf

--- a/exercices/MathJax.js
+++ b/exercices/MathJax.js
+var fileref=document.createElement('script')
+fileref.setAttribute("type","text/javascript")
+fileref.setAttribute("src", "https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML")
+document.getElementsByTagName("head")[0].appendChild(fileref)
--- a/exercices/css/prism.css
+++ b/exercices/css/prism.css
+/* PrismJS 1.15.0
+https://prismjs.com/download.html#themes=prism&languages=markup+css+clike+javascript+c+bash+python+rust&plugins=line-highlight+line-numbers+toolbar+highlight-keywords+copy-to-clipboard */
+/**
+ * prism.js default theme for JavaScript, CSS and HTML
+ * Based on dabblet (http://dabblet.com)
+ * @author Lea Verou
+ */
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+
+		.line-numbers-rows > span:before {
+			content: counter(linenumber);
+			color: #999;
+			display: block;
+			padding-right: 0.8em;
+			text-align: right;
+		}
+
+div.code-toolbar {
+	position: relative;
+}
+
+div.code-toolbar > .toolbar {
+	position: absolute;
+	top: .3em;
+	right: .2em;
+	transition: opacity 0.3s ease-in-out;
+	opacity: 0;
+}
+
+div.code-toolbar:hover > .toolbar {
+	opacity: 1;
+}
+
+div.code-toolbar > .toolbar .toolbar-item {
+	display: inline-block;
+}
+
+div.code-toolbar > .toolbar a {
+	cursor: pointer;
+}
+
+div.code-toolbar > .toolbar button {
+	background: none;
+	border: 0;
+	color: inherit;
+	font: inherit;
+	line-height: normal;
+	overflow: visible;
+	padding: 0;
+	-webkit-user-select: none; /* for button */
+	-moz-user-select: none;
+	-ms-user-select: none;
+}
+
+div.code-toolbar > .toolbar a,
+div.code-toolbar > .toolbar button,
+div.code-toolbar > .toolbar span {
+	color: #bbb;
+	font-size: .8em;
+	padding: 0 .5em;
+	background: #f5f2f0;
+	background: rgba(224, 224, 224, 0.2);
+	box-shadow: 0 2px 0 0 rgba(0,0,0,0.2);
+	border-radius: .5em;
+}
+
+div.code-toolbar > .toolbar a:hover,
+div.code-toolbar > .toolbar a:focus,
+div.code-toolbar > .toolbar button:hover,
+div.code-toolbar > .toolbar button:focus,
+div.code-toolbar > .toolbar span:hover,
+div.code-toolbar > .toolbar span:focus {
+	color: inherit;
+	text-decoration: none;
+}
+
--- a/exercices/css/prism.js
+++ b/exercices/css/prism.js
--- a/exercices/css/styling.css
+++ b/exercices/css/styling.css
+@import url(//fonts.googleapis.com/css?family=Libre+Baskerville:400,400italic,700);@import url(//fonts.googleapis.com/css?family=Source+Code+Pro:400,400italic,700,700italic);/* normalize.css v3.0.0 | MIT License | git.io/normalize */html{font-family:sans-serif;-ms-text-size-adjust:100%;-webkit-text-size-adjust:100%}body{margin:0}article,aside,details,figcaption,figure,footer,header,hgroup,main,nav,section,summary{display:block}audio,canvas,progress,video{display:inline-block;vertical-align:baseline}audio:not([controls]){display:none;height:0}[hidden],template{display:none}a{background:transparent}a:active,a:hover{outline:0}abbr[title]{border-bottom:1px dotted}b,strong{font-weight:bold}dfn{font-style:italic}h1{font-size:2em;margin:0.67em 0}mark{background:#ff0;color:#000}small{font-size:80%}sub,sup{font-size:75%;line-height:0;position:relative;vertical-align:baseline}sup{top:-0.5em}sub{bottom:-0.25em}img{border:0}svg:not(:root){overflow:hidden}figure{margin:1em 40px}hr{-moz-box-sizing:content-box;box-sizing:content-box;height:0}pre{overflow:auto}code,kbd,pre,samp{font-family:monospace, monospace;font-size:1em}button,input,optgroup,select,textarea{color:inherit;font:inherit;margin:0}button{overflow:visible}button,select{text-transform:none}button,html input[type="button"],input[type="reset"],input[type="submit"]{-webkit-appearance:button;cursor:pointer}button[disabled],html input[disabled]{cursor:default}button::-moz-focus-inner,input::-moz-focus-inner{border:0;padding:0}input{line-height:normal}input[type="checkbox"],input[type="radio"]{box-sizing:border-box;padding:0}input[type="number"]::-webkit-inner-spin-button,input[type="number"]::-webkit-outer-spin-button{height:auto}input[type="search"]{-webkit-appearance:textfield;-moz-box-sizing:content-box;-webkit-box-sizing:content-box;box-sizing:content-box}input[type="search"]::-webkit-search-cancel-button,input[type="search"]::-webkit-search-decoration{-webkit-appearance:none}fieldset{border:1px solid #c0c0c0;margin:0 2px;padding:0.35em 0.625em 0.75em}legend{border:0;padding:0}textarea{overflow:auto}optgroup{font-weight:bold}table{border-collapse:collapse;border-spacing:0}td,th{padding:0}body,code,tr.odd,tr.even,figure{background-image:url("data:image/png;base64,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")}body{font-family:"Libre Baskerville",Baskerville,Georgia,serif;background-color:#f8f8f8;color:#111;line-height:1.3;text-align:justify;-moz-hyphens:auto;-ms-hyphens:auto;-webkit-hyphens:auto;hyphens:auto}@media (max-width: 400px){body{font-size:12px;margin-left:10px;margin-right:10px;margin-top:10px;margin-bottom:15px}}@media (min-width: 401px) and (max-width: 600px){body{font-size:14px;margin-left:10px;margin-right:10px;margin-top:10px;margin-bottom:15px}}@media (min-width: 601px) and (max-width: 900px){body{font-size:15px;margin-left:100px;margin-right:100px;margin-top:20px;margin-bottom:25px}}@media (min-width: 901px) and (max-width: 1800px){body{font-size:17px;margin-left:200px;margin-right:200px;margin-top:30px;margin-bottom:25px;max-width:800px}}@media (min-width: 1801px){body{font-size:18px;margin-left:20%;margin-right:20%;margin-top:30px;margin-bottom:25px;max-width:1000px}}p{margin-top:10px;margin-bottom:18px}em{font-style:italic}strong{font-weight:bold}h1,h2,h3,h4,h5,h6{font-weight:bold;padding-top:0.25em;margin-bottom:0.15em}header{line-height:2.475em;padding-bottom:0.7em;border-bottom:1px solid #bbb;margin-bottom:1.2em}header>h1{border:none;padding:0;margin:0;font-size:225%}header>h2{border:none;padding:0;margin:0;font-style:normal;font-size:175%}header>h3{padding:0;margin:0;font-size:125%;font-style:italic}header+h1{border-top:none;padding-top:0px}h1{border-top:1px solid #bbb;padding-top:15px;font-size:150%;margin-bottom:10px}h1:first-of-type{border:none}h2{font-size:125%;font-style:italic}h3{font-size:105%;font-style:italic}hr{border:0px;border-top:1px solid #bbb;width:100%;height:0px}hr+h1{border-top:none;padding-top:0px}ul,ol{font-size:90%;margin-top:10px;margin-bottom:15px;padding-left:30px}ul{list-style:circle}ol{list-style:decimal}ul ul,ol ol,ul ol,ol ul{font-size:inherit}li{margin-top:5px;margin-bottom:7px}q,blockquote,dd{font-style:italic;font-size:90%}blockquote,dd{quotes:none;border-left:0.35em #bbb solid;padding-left:1.15em;margin:0 1.5em 0 0}blockquote blockquote,dd blockquote,blockquote dd,dd dd,ol blockquote,ol dd,ul blockquote,ul dd,blockquote ol,dd ol,blockquote ul,dd ul{font-size:inherit}a,a:link,a:visited,a:hover{color:inherit;text-decoration:none;border-bottom:1px dashed #111}a:hover,a:link:hover,a:visited:hover,a:hover:hover{border-bottom-style:solid}a.footnoteRef,a:link.footnoteRef,a:visited.footnoteRef,a:hover.footnoteRef{border-bottom:none;color:#666}code{font-family:"Source Code Pro","Consolas","Monaco",monospace;font-size:85%;background-color:#ddd;border:1px solid #bbb;padding:0px 0.15em 0px 0.15em;-webkit-border-radius:3px;-moz-border-radius:3px;border-radius:3px}pre{margin-right:1.5em;display:block}pre>code{display:block;font-size:70%;padding:10px;-webkit-border-radius:5px;-moz-border-radius:5px;border-radius:5px;overflow-x:auto}blockquote pre,dd pre,ul pre,ol pre{margin-left:0;margin-right:0}blockquote pre>code,dd pre>code,ul pre>code,ol pre>code{font-size:77.77778%}caption,figcaption{font-size:80%;font-style:italic;text-align:right;margin-bottom:5px}caption:empty,figcaption:empty{display:none}table{width:100%;margin-top:1em;margin-bottom:1em}table+h1{border-top:none}tr td,tr th{padding:0.2em 0.7em}tr.header{border-top:1px solid #222;border-bottom:1px solid #222;font-weight:700}tr.odd{background-color:#eee}tr.even{background-color:#ccc}tbody:last-child{border-bottom:1px solid #222}dt{font-weight:700}dt:after{font-weight:normal;content:":"}dd{margin-bottom:10px}figure{margin:1.3em 0 1.3em 0;text-align:center;padding:0px;width:100%;background-color:#ddd;border:1px solid #bbb;-webkit-border-radius:8px;-moz-border-radius:8px;border-radius:8px;overflow:hidden}img{display:block;margin:0px auto;padding:0px;max-width:100%}figcaption{margin:5px 10px 5px 30px}.footnotes{color:#666;font-size:70%;font-style:italic}.footnotes li p:last-child a:last-child{border-bottom:none}