|
Warning: this is an htmlized version!
The original is here, and the conversion rules are here. |
% (find-LATEX "2020-2-C2-ids-trigs.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2020-2-C2-ids-trigs.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2020-2-C2-ids-trigs.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page "~/LATEX/2020-2-C2-ids-trigs.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2020-2-C2-ids-trigs.pdf"))
% (defun e () (interactive) (find-LATEX "2020-2-C2-ids-trigs.tex"))
% (defun l () (interactive) (find-LATEX "2020-2-C2-ids-trigs.lua"))
% (defun o () (interactive) (find-LATEX "2020-2-C2-ids-trigs.tex"))
% (defun u () (interactive) (find-latex-upload-links "2020-2-C2-ids-trigs"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2020-2-C2-ids-trigs.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
% (code-eec-LATEX "2020-2-C2-ids-trigs")
% (find-pdf-page "~/LATEX/2020-2-C2-ids-trigs.pdf")
% (find-sh0 "cp -v ~/LATEX/2020-2-C2-ids-trigs.pdf /tmp/")
% (find-sh0 "cp -v ~/LATEX/2020-2-C2-ids-trigs.pdf /tmp/pen/")
% (find-xournalpp "/tmp/2020-2-C2-ids-trigs.pdf")
% file:///home/edrx/LATEX/2020-2-C2-ids-trigs.pdf
% file:///tmp/2020-2-C2-ids-trigs.pdf
% file:///tmp/pen/2020-2-C2-ids-trigs.pdf
% http://angg.twu.net/LATEX/2020-2-C2-ids-trigs.pdf
% (find-LATEX "2019.mk")
% (find-CN-aula-links "2020-2-C2-ids-trigs" "2" "c2m202it" "c2it")
%
% Video:
% (find-ssr-links "c2m202it" "2020-2-C2-ids-trigs" "{naoexiste}}")
% (code-video "c2m202itvideo" "$S/http/angg.twu.net/eev-videos/2020-2-C2-ids-trigs.mp4")
% (find-c2m202itvideo "0:00")
% «.defs» (to "defs")
% «.title» (to "title")
% «.div-polis» (to "div-polis")
%
% «.djvuize» (to "djvuize")
\documentclass[oneside,12pt]{article}
\usepackage[colorlinks,citecolor=DarkRed,urlcolor=DarkRed]{hyperref} % (find-es "tex" "hyperref")
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{pict2e}
\usepackage[x11names,svgnames]{xcolor} % (find-es "tex" "xcolor")
\usepackage{colorweb} % (find-es "tex" "colorweb")
%\usepackage{tikz}
%
% (find-dn6 "preamble6.lua" "preamble0")
%\usepackage{proof} % For derivation trees ("%:" lines)
%\input diagxy % For 2D diagrams ("%D" lines)
%\xyoption{curve} % For the ".curve=" feature in 2D diagrams
%
\usepackage{edrx15} % (find-LATEX "edrx15.sty")
\input edrxaccents.tex % (find-LATEX "edrxaccents.tex")
\input edrxchars.tex % (find-LATEX "edrxchars.tex")
\input edrxheadfoot.tex % (find-LATEX "edrxheadfoot.tex")
\input edrxgac2.tex % (find-LATEX "edrxgac2.tex")
\input 2017planar-has-defs.tex % (find-LATEX "2017planar-has-defs.tex" "defub")
%
%\usepackage[backend=biber,
% style=alphabetic]{biblatex} % (find-es "tex" "biber")
%\addbibresource{catsem-slides.bib} % (find-LATEX "catsem-slides.bib")
%
% (find-es "tex" "geometry")
\usepackage[a6paper, landscape,
top=1.5cm, bottom=.25cm, left=1cm, right=1cm, includefoot
]{geometry}
%
\begin{document}
\catcode`\^^J=10
\directlua{dofile "dednat6load.lua"} % (find-LATEX "dednat6load.lua")
%L dofile "edrxtikz.lua" -- (find-LATEX "edrxtikz.lua")
%L dofile "edrxpict.lua" -- (find-LATEX "edrxpict.lua")
%L dofile "2020-2-C2-ids-trigs.lua" -- (find-LATEX "2020-2-C2-ids-trigs.lua")
\pu
% «defs» (to ".defs")
% (find-LATEX "edrx15.sty" "colors-2019")
\long\def\ColorRed #1{{\color{Red1}#1}}
\long\def\ColorViolet#1{{\color{MagentaVioletLight}#1}}
\long\def\ColorViolet#1{{\color{Violet!50!black}#1}}
\long\def\ColorGreen #1{{\color{SpringDarkHard}#1}}
\long\def\ColorGreen #1{{\color{SpringGreenDark}#1}}
\long\def\ColorGreen #1{{\color{SpringGreen4}#1}}
\long\def\ColorGray #1{{\color{GrayLight}#1}}
\long\def\ColorGray #1{{\color{black!30!white}#1}}
\long\def\ColorBrown #1{{\color{Brown}#1}}
\long\def\ColorBrown #1{{\color{brown}#1}}
\long\def\ColorOrange#1{{\color{orange}#1}}
\long\def\ColorShort #1{{\color{SpringGreen4}#1}}
\long\def\ColorLong #1{{\color{Red1}#1}}
\def\frown{\ensuremath{{=}{(}}}
\def\True {\mathbf{V}}
\def\False{\mathbf{F}}
\def\D {\displaystyle}
\def\drafturl{http://angg.twu.net/LATEX/2020-2-C2.pdf}
\def\drafturl{http://angg.twu.net/2020.2-C2.html}
\def\draftfooter{\tiny \href{\drafturl}{\jobname{}} \ColorBrown{\shorttoday{} \hours}}
% _____ _ _ _
% |_ _(_) |_| | ___ _ __ __ _ __ _ ___
% | | | | __| |/ _ \ | '_ \ / _` |/ _` |/ _ \
% | | | | |_| | __/ | |_) | (_| | (_| | __/
% |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___|
% |_| |___/
%
% «title» (to ".title")
% (c2m202itp 1 "title")
% (c2m202ita "title")
\thispagestyle{empty}
\begin{center}
\vspace*{1.2cm}
{\bf \Large Cálculo 2 - 2020.2}
\bsk
Aula ??: Identidades trigonométricas
\bsk
Eduardo Ochs - RCN/PURO/UFF
\url{http://angg.twu.net/2020.2-C2.html}
\end{center}
\newpage
% «div-polis» (to ".div-polis")
% (c2m202itp 2 "div-polis")
% (c2m202ita "div-polis")
Nos slides sobre Frações Parciais nós vimos que contas com
polinômios são parecidas com contas com números ``sem vai um''...
%R A = 1/ __ __ __ __ \
%R | 2 3 1 |
%R | !X 1 2 |
%R | -------- |
%R | 1 2 |
%R | 3 6 |
%R | 2 4 |
%R | ---------- |
%R \ 2 7 7 2 /
%R
%R cc = A:toccells()
%R mp = MixedPicture.new({zdef="mult numeric", scale="14pt", meta="", celllower="3.5pt"})
%R cc:addcellsto(mp)
%R cc:addLineto(mp, {1,2}, {4,2})
%R cc:addLineto(mp, {0,5}, {4,5})
%R
%R mp:output()
%R
%R A = 1/ ____ _____ ___ __ \
%R | 2x^2 +3x +1 |
%R | !X x +2 |
%R | ------------- |
%R | x +2 |
%R | 3x^2 +6x |
%R | 2x^3 +4x^2 |
%R | ------------------- |
%R \ 2x^3 +7x^2 +7x +2 /
%R
%R cc = A:toccells()
%R cc.xscale = 2
%R mp = MixedPicture.new({zdef="mult poly", scale="14pt", meta="", celllower="3.5pt"})
%R cc:addcellsto(mp)
%R cc:addLineto(mp, {1,2}, {4,2})
%R cc:addLineto(mp, {0,5}, {4,5})
%R
%R mp:output()
% (c2m202fpp 6 "contas-sem-vai-um")
% (c2m202fp "contas-sem-vai-um")
% (c2m202fpp 7 "div-polis")
% (c2m202fp "div-polis")
%R A = 1/ _ _ _ _ _ _ _ _ \
%R | 2 7 7 3 | 1 2 |
%R | +------ |
%R | - 2 4 2 3 1 |
%R | --- |
%R | 3 7 |
%R | - 3 6 |
%R | --- |
%R | 1 3 |
%R | - 1 2 |
%R | --- |
%R \ 1 /
%R
%R cc = A:toccells()
%R mp = MixedPicture.new({zdef="div numeric", scale="14pt", meta=""})
%R cc:addcellsto(mp)
%R cc:addLineto(mp, {1,2}, {3,2})
%R cc:addLineto(mp, {2,4}, {4,4})
%R cc:addLineto(mp, {3,6}, {5,6})
%R cc:addLineto(mp, {5,0}, {5,1}, {8,1})
%R mp:output()
%R
%R A = 1/ _ _____ ______ ____ ___ ____ ___ ___ \
%R | 2x^3 +7x^2 +7x +3 | x +2 |
%R | +------------- |
%R | - (2x^3 +4x^2) 2x^2 +3x +1 |
%R | ------------ |
%R | 3x^2 +7x |
%R | - (3x^2 +6x) |
%R | ----------- |
%R | x +3 |
%R | - (x +2) |
%R | --------- |
%R \ 1 /
%R
%R cc = A:toccells()
%R cc.xscale = 2
%R mp = MixedPicture.new({zdef="div poly 1", scale="14pt", meta=""})
%R mp = MixedPicture.new({zdef="div poly 1", scale="14pt", meta="", celllower="3.5pt"})
%R cc:addcellsto(mp)
%R cc:addLineto(mp, {1,2}, {3,2})
%R cc:addLineto(mp, {2,4}, {4,4})
%R cc:addLineto(mp, {3,6}, {5,6})
%R cc:addLineto(mp, {5,0}, {5,1}, {8,1})
%R
%R mp:output()
\pu
%
$$\def\X{×}
\def\H#1{\hspace*{#1}}
\scalebox{0.8}{$
\begin{array}{rcl}
\zha{mult numeric} \H{1cm} &⇒& \H{1.75cm} \zha{mult poly}
\\[60pt]
\zha{div numeric} \H{0.5cm} &⇒& \H{0cm} \zha{div poly 1}
\end{array}
$}
$$
% Exemplo numa prova antiga:
% (find-pdf-page "~/LATEX/2018-2-C2-P1.pdf" 2)
% (find-LATEX "2018-2-C2-P1.tex" "gab-2")
% http://angg.twu.net/LATEX/2018-2-C2-P1.pdf
\newpage
%\printbibliography
\GenericWarning{Success:}{Success!!!} % Used by `M-x cv'
\end{document}
% ____ _ _
% | _ \(_)_ ___ _(_)_______
% | | | | \ \ / / | | | |_ / _ \
% | |_| | |\ V /| |_| | |/ / __/
% |____// | \_/ \__,_|_/___\___|
% |__/
%
% «djvuize» (to ".djvuize")
% (find-LATEXgrep "grep --color -nH --null -e djvuize 2020-1*.tex")
* (eepitch-shell)
* (eepitch-kill)
* (eepitch-shell)
# (find-fline "~/2020.2-C2/")
# (find-fline "~/LATEX/2020-2-C2/")
# (find-fline "~/bin/djvuize")
cd /tmp/
for i in *.jpg; do echo f $(basename $i .jpg); done
f () { rm -fv $1.png $1.pdf; djvuize $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 1.0" $1.pdf; xpdf $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 0.5" $1.pdf; xpdf $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 0.25" $1.pdf; xpdf $1.pdf }
f () { cp -fv $1.png $1.pdf ~/2020.2-C2/
cp -fv $1.pdf ~/LATEX/2020-2-C2/
cat <<%%%
% (find-latexscan-links "C2" "$1")
%%%
}
f 20201213_area_em_funcao_de_theta
f 20201213_area_em_funcao_de_x
f 20201213_area_fatias_pizza
% __ __ _
% | \/ | __ _| | _____
% | |\/| |/ _` | |/ / _ \
% | | | | (_| | < __/
% |_| |_|\__,_|_|\_\___|
%
% <make>
* (eepitch-shell)
* (eepitch-kill)
* (eepitch-shell)
# (find-LATEXfile "2019planar-has-1.mk")
make -f 2019.mk STEM=2020-2-C2-ids-trigs veryclean
make -f 2019.mk STEM=2020-2-C2-ids-trigs pdf
% Local Variables:
% coding: utf-8-unix
% ee-tla: "c2m202it"
% End: