harmonic series diagramHarmonicSeriesDiagramHtmlRenderingTest2009-05-29 10:35:052026-09-07 20:26:36Data Structureharmonic seriesPhysics Library autolinker corrupting the TikZ color names.
The giveaway is:
Argument of \XC@definec@lor has an extra }.
Paragraph ended before \XC@definec@lor was complete.
\XC@definec@lor is an internal xcolor command. In the previous TikZ figure we had:
\draw[red,thick,...]
...
\draw[blue,thick]
Given the autolinker problems we have already seen in other entries, it may be turning a bare word like red or blue inside the TikZ option list into something like a generated hyperlink. Then TikZ/xcolor tries to interpret that injected markup as a color name and explodes.
I would not export to PNG yet. First remove all named colors from the TikZ.html rendering testdiagram html rendering test% Object 785: Harmonic Series Diagram
% Rendering-safe Physics Library preamble.
% PSTricks removed because the production renderer uses pdfLaTeX/make4ht.
\usepackage{amsmath}
\usepackage{tikz}
The following diagram illustrates the harmonic series
\PMlinkname{diagram}{HarmonicSeries}, together with the limiting relation
between the harmonic partial sums and the natural logarithm.
\begin{center}
\begin{tikzpicture}[x=1.0cm,y=1.0cm]
% Axes
\draw[->] (-0.5,0) -- (5.7,0) node[right] {$x$};
\draw[->] (0,-0.5) -- (0,5.7) node[above] {$y$};
% Tick marks and labels
\foreach \x in {1,2,3,4,5} {
\draw (\x,0.08) -- (\x,-0.08);
\node[below] at (\x,-0.08) {\x};
}
\foreach \y in {1,2,3,4,5} {
\draw (0.08,\y) -- (-0.08,\y);
\node[left] at (-0.08,\y) {\y};
}
\node[below left] at (0,0) {$0$};
% Curve y = 1/x
\draw[red,thick,domain=0.22:5.2,samples=100,smooth,variable=\x]
plot ({\x},{1/\x});
% Harmonic-series staircase rectangles
\draw[blue,thick]
(1,0) -- (1,1) -- (2,1) -- (2,0.5)
-- (3,0.5) -- (3,0.333333)
-- (4,0.333333) -- (4,0.25)
-- (5,0.25) -- (5,0.2);
\draw (2,0) -- (2,0.5);
\draw (3,0) -- (3,0.333333);
\draw (4,0) -- (4,0.25);
\node at (1.25,3.5) {$y=\dfrac{1}{x}$};
\end{tikzpicture}
\end{center}
\[
\lim_{n\to\infty}
\left(
\sum_{k=1}^{n-1}\frac{1}{k}
-
\ln n
\right)
=
\gamma .
\]