From 202cab50911a553db38c8e5474c45461a774362b Mon Sep 17 00:00:00 2001 From: prokopparuzek Date: Mon, 20 Jul 2026 21:24:00 +0200 Subject: [PATCH] calculus rhapsody final dokonceni zpevniku, logo z MA1 skript --- .latexmkrc | 2 +- MA1.svg | 788 +++++++++++++++++++++++++++++++++++++ pisne/calculusRhapsody.tex | 81 ++-- titlepage.tex | 4 +- zpevnik.pdf | Bin 143624 -> 98419 bytes zpevnik.tex | 5 +- 6 files changed, 833 insertions(+), 47 deletions(-) create mode 100644 MA1.svg diff --git a/.latexmkrc b/.latexmkrc index d78de37..0bd8632 100644 --- a/.latexmkrc +++ b/.latexmkrc @@ -1 +1 @@ -$pdflatex=q/xelatex -synctex=1 %O %S/ \ No newline at end of file +$pdflatex=q/xelatex -synctex=1 -shell-escape %O %S/ \ No newline at end of file diff --git a/MA1.svg b/MA1.svg new file mode 100644 index 0000000..5c09db4 --- /dev/null +++ b/MA1.svg @@ -0,0 +1,788 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/pisne/calculusRhapsody.tex b/pisne/calculusRhapsody.tex index 948155c..3c0c441 100644 --- a/pisne/calculusRhapsody.tex +++ b/pisne/calculusRhapsody.tex @@ -2,76 +2,73 @@ \begin{verse} ^{G7}Is this $x$ defined? ^{C7}Is $f$ ^*{Gm7}con ^*{C7}ti ^*{Gm7}nu ^{C7}ous? \\ ^{F7}How do you ^{Cm7}find ^{F7}out? You can ^{B}use the ^*{Cm7} li^{B}mit ^*{F7} pro^{B}cess. \\ - ^{Gm7}Approach from both sides, The ^{B7}left and the right and ^{Eb}meet. \\ + ^{Gm7}Approach from both sides, the ^{B7}left and the right and ^{Eb}meet. \\ ^{Cm7}I'm a just a limit, ^{F7}defined analytically. Functions \\ - ^*{H}continu ^{B}ous, ^{A}Theres no ^{B}holes, ^{H}No sharp ^{B}points, ^{A}Or asymp^{B}totes. \\ + ^*{H}continu ^{B}ous, ^{A}Theres no ^{B}holes, ^{H}No sharp ^{B}points, ^{A}or asymp^{B}totes. \\ ^{Eb}Any way this ^{B}graph goes. ^{C#dim7}It is diffe^{F7}rentiable for me for ^{B}me. \end{verse} \begin{verse} - ^{B}All year, in ^{Gm}Calculus Weve ^{Cm}learned so many things \\ - About which ^{Cm7}we are going to ^{F7}sing \\ - ^{B}We can find derivatives And ^{Gm}integrals \\ + ^{B}All year, in ^{Gm}Calculus. We've ^{Cm}learned so many things. \\ + About which ^{Cm7}we are going to ^{F7}sing. \\ + ^{B}We can find derivatives and ^{Gm}integrals. \\ And ^{Cm}the area en^{Eb}closed bet^{Eb}ween ^{Am7}two curves. \end{verse} \begin{verse} - ^{Eb}$y$ prime ^{H}oooh^{Cm}\_\_\_ Is the ^{Fm}derivative ^{E5+}of ^{Ab}$y$ \\ + ^{Eb}$y$ prime ^{H}oooh^{Cm}\_\_\_. Is the ^{Fm}derivative ^{E5+}of ^{Ab}$y$ \\ $y$ ^{B7}equals $x$ to the $n$, $dy/dx$ \\ ^{B}Equals ^{Cm}$n$ times ^{Abm}$x$ To the ^{Eb}$n-1$. \\ \end{verse} \begin{verse} - ^{B}Other a^{Gm}pplications Of de^{Cm}rivatives apply \\ + ^{B}Other a^{Gm}pplications of de^{Cm}rivatives apply \\ If $y$ is di^{Cm7}vided or multi^{F7}plied \\ - ^{B}You use the quotient And ^{Gm}product rules \\ - And ^{Cm}dont you for^{Eb}get To ^{B}do ^{Ab}the dance ^{Eb} \\ + ^{B}You use the quotient and ^{Gm}product rules \\ + and ^{Cm}dont you for^{Eb}get To ^{B}do ^{Ab}the dance ^{Eb} \\ \end{verse} \begin{verse} ^{Eb}Also ^{B}oooh^{Cm}\_\_\_ (dont forget the chain rule) \\ - ^{Fm}Before you are ^*{Ab}done ^{Dm7}, You ^{B7}gotta remember to multiply by the chain \\ + ^{Fm}before you are ^*{Ab}done ^{Dm7}, You ^{B7}gotta remember to multiply by the chain. \\ \end{verse} Mezihra, crazy kytarové sólo \begin{verse} - ^{A} ^{D}I ^{A}need to ^{Adim}find ^{A}the ^{D}area ^{A}under a ^{Adim}curve \\ - ^*{A}Inte ^{D}grate! ^*{A}Inte ^{D}grate! ^{A}You can ^{Adim}use the ^*{A}inte ^*{D}gra ^{A}tion \\ - ^{Db}Raise exponent ^{Ab7}by one ^{C}multiply the ^*{E7}recipro ^{A}cal \\ - Add a constant Add a constant \\ - Add a constant Add a constant \\ - Add a constant labeled $C$ \\ + ^{A} ^{D}I ^{A}need to ^{Adim}find ^{A}the ^{D}area ^{A}under a ^{Adim}curve. \\ + ^*{A}Inte ^{D}grate! ^*{A}Inte ^{D}grate! ^{A}You can ^{Adim}use the ^*{A}inte ^*{D}gra ^{A}tion. \\ + ^{Db}Raise exponent ^{Ab7}by one ^{C}multiply the ^*{E7}recipro ^{A}cal. \\ + Add a constant Add a constant! \\ + Add a constant Add a constant! \\ + Add a constant labeled $C$. \\ (Labeled $C$-ee-ee-ee-ee) \\ \end{verse} \begin{verse} - ^{H}Im ^{B}just a ^*{A}cons ^{B}tant ^*{H}No ^{B}body ^{A}loves ^{B}me. \\ - ^{Ab}He's ^{Eb}just a ^*{Ebdim}cons ^{Eb}tant ^{Ab}Might as ^{Eb}well just ^{Ebdim}call it ^{Eb}$C$ \\ - ^{Ab}Never for^{Eb}get to add ^{F7}the constant ^{B}$C$ \\ + ^{H}I'm ^{B}just a ^*{A}cons ^{B}tant ^*{H}no ^{B}body ^{A}loves ^{B}me. \\ + ^{Ab}He's ^{Eb}just a ^*{Ebdim}cons ^{Eb}tant ^{Ab}might as ^{Eb}well just ^{Ebdim}call it ^{Eb}$C$. \\ + ^{Ab}Never for^{Eb}get to add ^{F7}the constant ^{B}$C$. \\ \end{verse} \begin{verse} - Can you find the area between $f$ and $g$ \\ - In-te-grate $f$ and then integrate $g$ \\ - (then subtract) \\ - To revolve around the y-axis \\ - (integrate) \\ - outer radius squared minus inner radius squared \\ - (multiplied) \\ - multiplied by $\pi$ \\ - (multiply) \\ - Multiply the integral by $\pi$! \\ - $\pi$ tastes real good with whipped cream! \\ - Mama-Mia, Mama-Mia \\ - Mama-Mia let me go. \\ - Pre-calculus did not help me to prepare for Calculus, for Calculus, help me! \\ + ^{H}Can you ^{B}find ^{A}the ^{B}area ^{H}between ^{B}$f$ and ^{A}$g$ \\ + ^*{B}In- ^*{Eb}te- ^{B}grate ^{Eb}$f$ ^{B}and then ^*{Eb}in ^*{B7}te ^{Eb}grate ^{B}$g$. ^{Eb}(then subtract) \\ + To revolve ^{Eb}around the y-axis (integrate) \\ + outer radius squared minus inner radius squared (multiplied) \\ + ^{Eb}multiplied by $\pi$ (multiply) \\ + Multiply the integral by $\pi$! ^{F#7}($\pi\textsuperscript{3}$) \\ + ^{Hm}$\Pi$ ^{A7}tastes ^{D}real ^{Db7}good ^{Gb7}with ^{B7}whipped ^{Eb}cream! \\ + Mama-Mia, Mama-Mia ^{Eb}Mama ^*{Ab}Mi ^{Eb}a ^{Ddim}let ^{Cm7}me ^{B7}go. \\ + Pre-^*{Eb}calcu ^{Ab}lus did not ^{D7}help me to ^{Gm}prepare for ^{B7}Calculus, ^{B7}for Calculus, help me! \\ \end{verse} - (Interlude) + Další epická mezihra \begin{verse} - So you think you can find out the limit of $y$? \\ - So you think youll find zero and have it defined \\ - Oh baby cant define that point baby \\ - Its undefined Goes to positive and negative infinity \\ - Oooh. Oooh yeah, oooh yeah. Differentiation \\ - Anyone can see Any mere equation \\ - It is differentiable for me. \\ - (Any way this graph goes) \\ + ^{B}So you think you can find out the ^{Eb}limit of ^{B}$y$ ^{Db}? \\ + ^{B}So you think you'll find zero and ^{Eb7}have it de^{Ab}fined \\ + ^{Fm}Oh ^{B}baby ^{Fm}can't define that point ^{B}baby \\ + ^{Fm}It's unde^{Bm}fined ^{Fm}Goes to positive and ^{B}negative in^{Eb}finity \\ + \end{verse} + \begin{verse} + ^{Eb}Oooh. ^{Bdim7}Oooh ^{Cm}yeah, ^{Bdim7}oooh ^{Cm}yeah. \\ + ^*{Cm}Differentia ^{Gm}tion. ^{Cm}Anyone can ^{Gm}see \\ + ^{Cm}Any mere equai^{Abm}tion ^{Ab}It is differentiable for ^{Eb}me. \\ + ^{Bb}(Any ^{F}way this ^{Ab}graph ^{Gm7}goes ^{F}) \\ \end{verse} \end{song} \ No newline at end of file diff --git a/titlepage.tex b/titlepage.tex index ea87adf..4ab1eac 100644 --- a/titlepage.tex +++ b/titlepage.tex @@ -3,9 +3,9 @@ \vspace{3cm} \Huge - \textbf{Horalské DLC} + \textbf{Prokopovo DLC} \vspace{3cm} - \includegraphics[width=1\textwidth]{logo.jpg} + 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%\input{pisne/monter.tex}