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ex-2: change image 2-gamma-area.png from png to tikz

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Giù Marcer 2020-06-04 10:29:41 +02:00 committed by rnhmjoj
parent b48c227437
commit ccb2c4be54
2 changed files with 31 additions and 3 deletions
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notes/images/2-gamma-area.png
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notes/sections/2.md
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@ -24,9 +24,37 @@ known methods involve sums, subtractions or products of very big or small
numbers, packed in series, partial sums or infinite products. Thus, the
efficiency of the methods lies on how quickly they converge to their limit.
![The area of the blue region converges to the Euler–Mascheroni
constant.](images/2-gamma-area.png){#fig:gamma width=7cm}
\begin{figure}
\hypertarget{fig:gamma}{%
\centering
\begin{tikzpicture}[yscale=3]
\definecolor{brick}{RGB}{160, 54, 35}
% Series
\draw [fill=brick, brick] (1,0) rectangle (2,1);
\draw [fill=brick, brick] (2,0) rectangle (3,0.5);
\draw [fill=brick, brick] (3,0) rectangle (4,0.333);
\draw [fill=brick, brick] (4,0) rectangle (5,0.25);
\draw [fill=brick, brick] (5,0) rectangle (6,0.2);
\draw [fill=brick, brick] (6,0) rectangle (7,0.167);
\draw [fill=brick, brick] (7,0) rectangle (7.5,0.143);
% Logarithm
\filldraw [brick!40!white, domain=1:7.5, variable=\x]
(1,0) -- plot({\x},{1/\x}) -- (7.5,0) -- cycle;
% Axis
\draw [thick, ->] (1,0) -- (1,1.2);
\draw [thick, ->] (0.5,0) -- (7.5,0);
\draw (1.0,-0.05) -- (1.0,0.05); \node [below, scale=0.7] at (1.0,-0.05) {1};
\draw (2.0,-0.05) -- (2.0,0.05); \node [below, scale=0.7] at (2.0,-0.05) {2};
\draw (3.0,-0.05) -- (3.0,0.05); \node [below, scale=0.7] at (3.0,-0.05) {3};
\draw (4.0,-0.05) -- (4.0,0.05); \node [below, scale=0.7] at (4.0,-0.05) {4};
\draw (5.0,-0.05) -- (5.0,0.05); \node [below, scale=0.7] at (5.0,-0.05) {5};
\draw (6.0,-0.05) -- (6.0,0.05); \node [below, scale=0.7] at (6.0,-0.05) {6};
\draw (7.0,-0.05) -- (7.0,0.05); \node [below, scale=0.7] at (7.0,-0.05) {7};
\end{tikzpicture}
\caption{The area of the red region converges to the Euler–Mascheroni
constant..}\label{fig:gamma}
}
\end{figure}
## Computing the constant