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author | Nao Pross <naopross@thearcway.org> | 2020-10-06 17:38:31 +0200 |
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committer | Nao Pross <naopross@thearcway.org> | 2020-10-06 17:38:31 +0200 |
commit | 8f9b3b5be58c6f49a1392edcc902d4dd00a8a7a8 (patch) | |
tree | caebb4c8a31162c5d20ff8144bc4ed21ec50dac8 | |
parent | Add complex representation of fourier coefficients (diff) | |
download | KomFour-8f9b3b5be58c6f49a1392edcc902d4dd00a8a7a8.tar.gz KomFour-8f9b3b5be58c6f49a1392edcc902d4dd00a8a7a8.zip |
-rw-r--r-- | .gitignore | 2 | ||||
-rw-r--r-- | build/komfour_zf.pdf | bin | 0 -> 78014 bytes | |||
-rw-r--r-- | komfour_zf.tex | 4 | ||||
-rw-r--r-- | latexmkrc | 4 |
4 files changed, 5 insertions, 5 deletions
@@ -46,7 +46,7 @@ _ReSharper*/ # these rules might exclude image files for figures etc. *.ps *.eps - *.pdf + # *.pdf *.doc ## Bibliography auxiliary files (bibtex/biblatex/biber): diff --git a/build/komfour_zf.pdf b/build/komfour_zf.pdf Binary files differnew file mode 100644 index 0000000..337d3de --- /dev/null +++ b/build/komfour_zf.pdf diff --git a/komfour_zf.tex b/komfour_zf.tex index 485eb1e..cc42a1d 100644 --- a/komfour_zf.tex +++ b/komfour_zf.tex @@ -462,11 +462,11 @@ \begin{theorem}[Fourier coefficients of even and odd functions] Recall that a function is said to be \emph{even} if \(f(-x) = f(x)\) or \emph{odd} if \(f(-x) = -f(x)\). We can show that if a function is \begin{itemize} - \item odd, then \(b_n = 0\) for all \(n\), and + \item even, then \(b_n = 0\) for all \(n\), and \[ a_n = \frac{4}{T}\int\limits_0^{T/2} f(t)\cos(n\omega t)\di{t} \] - \item even, then \(a_n = 0\) for all \(n\), and + \item odd, then \(a_n = 0\) for all \(n\), and \[ b_n = \frac{4}{T}\int\limits_0^{T/2} f(t)\sin(n\omega t)\di{t} \] @@ -2,7 +2,7 @@ $pdflatex = 'xelatex -synctex=1 -interaction=nonstopmode'; $pdf_mode = 1; -$aux_dir = b; -$out_dir = b; +$aux_dir = 'build'; +$out_dir = 'build'; $pdf_previewer = 'start zathura'; |