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authorNao Pross <np@0hm.ch>2022-05-19 18:58:44 +0200
committerNao Pross <np@0hm.ch>2022-05-19 18:58:44 +0200
commitcfd03547b8f392701471bd25aa98926494c923c0 (patch)
tree087145951b3fb505116f63ad90670eb215c87dac /presentation/figures
parentderivation of the orthogonal basis functions using the laplacian operator (diff)
downloadFourierOnS2-cfd03547b8f392701471bd25aa98926494c923c0.tar.gz
FourierOnS2-cfd03547b8f392701471bd25aa98926494c923c0.zip
Add BSc presentation
Diffstat (limited to 'presentation/figures')
-rw-r--r--presentation/figures/associated-legendre-polynomials.pdfbin0 -> 30126 bytes
-rw-r--r--presentation/figures/buchcover.pdfbin0 -> 3033235 bytes
-rw-r--r--presentation/figures/eeg-photo.jpgbin0 -> 223617 bytes
-rw-r--r--presentation/figures/flat-basis-functions.pdfbin0 -> 132352 bytes
-rw-r--r--presentation/figures/flux.pdfbin0 -> 345665 bytes
-rw-r--r--presentation/figures/flux.svg473
-rw-r--r--presentation/figures/hydrogen.pdf73
-rw-r--r--presentation/figures/hydrogen.svg20
-rw-r--r--presentation/figures/legendre-polynomials.pdfbin0 -> 19641 bytes
-rw-r--r--presentation/figures/orbitals-minutephysics.pngbin0 -> 916396 bytes
-rw-r--r--presentation/figures/spherical-coordinates.pdfbin0 -> 5824 bytes
-rw-r--r--presentation/figures/spherical-coordinates.tex99
-rw-r--r--presentation/figures/surface-laplacian-eeg.pdfbin0 -> 135258 bytes
13 files changed, 665 insertions, 0 deletions
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+ id="dp_path100"
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diff --git a/presentation/figures/hydrogen.pdf b/presentation/figures/hydrogen.pdf
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diff --git a/presentation/figures/hydrogen.svg b/presentation/figures/hydrogen.svg
new file mode 100644
index 0000000..98cb369
--- /dev/null
+++ b/presentation/figures/hydrogen.svg
@@ -0,0 +1,20 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!DOCTYPE svg>
+<svg version="1.1" baseProfile="full" xmlns:ev="http://www.w3.org/2001/xml-events" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" preserveAspectRatio="xMidYMid meet" zoomAndPan="magnify" id="Electron shell Hydrogen" viewBox="-400 -400 800 800" width="800" height="800">
+<title id="title">Electron shells for element: Z=001 H (Hydrogen): 1</title>
+<desc id="element_description">001 H (Hydrogen) Legend_color:#e7ff8f</desc>
+<desc id="element_electron_configuration">1</desc>
+
+<defs>
+<circle id="electron" fill="#77868b" stroke="none" r="30"/>
+</defs>
+
+<circle fill="#e7ff8f" r="200" stroke="#343434" stroke-width="10"/>
+<g font-weight="bold" font="DejaVu Sans">
+<text x="0" y="50" font-size="150" text-anchor="middle">H</text>
+</g>
+
+<g stroke="#77868b" stroke-width="8" fill="none"><circle id="shell_1" r="300"/>
+<use id="electron_0_shell_1" xlink:href="#electron" y="-300"/>
+</g>
+</svg> \ No newline at end of file
diff --git a/presentation/figures/legendre-polynomials.pdf b/presentation/figures/legendre-polynomials.pdf
new file mode 100644
index 0000000..a786878
--- /dev/null
+++ b/presentation/figures/legendre-polynomials.pdf
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diff --git a/presentation/figures/orbitals-minutephysics.png b/presentation/figures/orbitals-minutephysics.png
new file mode 100644
index 0000000..05715db
--- /dev/null
+++ b/presentation/figures/orbitals-minutephysics.png
Binary files differ
diff --git a/presentation/figures/spherical-coordinates.pdf b/presentation/figures/spherical-coordinates.pdf
new file mode 100644
index 0000000..28f242e
--- /dev/null
+++ b/presentation/figures/spherical-coordinates.pdf
Binary files differ
diff --git a/presentation/figures/spherical-coordinates.tex b/presentation/figures/spherical-coordinates.tex
new file mode 100644
index 0000000..3a45385
--- /dev/null
+++ b/presentation/figures/spherical-coordinates.tex
@@ -0,0 +1,99 @@
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{bm}
+\usepackage{lmodern}
+\usepackage{tikz-3dplot}
+
+\usetikzlibrary{arrows}
+\usetikzlibrary{intersections}
+\usetikzlibrary{math}
+\usetikzlibrary{positioning}
+\usetikzlibrary{arrows.meta}
+\usetikzlibrary{shapes.misc}
+\usetikzlibrary{calc}
+
+\begin{document}
+
+\tdplotsetmaincoords{60}{130}
+\pgfmathsetmacro{\l}{2}
+
+\begin{tikzpicture}[
+ >=latex,
+ tdplot_main_coords,
+ dot/.style = {
+ black, fill = black, circle,
+ outer sep = 0, inner sep = 0,
+ minimum size = .8mm
+ },
+ round/.style = {
+ draw = orange, thick, circle,
+ minimum size = 1mm,
+ inner sep = 0pt, outer sep = 0pt,
+ },
+ cross/.style = {
+ cross out, draw = magenta, thick,
+ minimum size = 1mm,
+ inner sep = 0pt, outer sep = 0pt
+ },
+ ]
+
+ % origin
+ \coordinate (O) at (0,0,0);
+
+ % poles
+ \coordinate (NP) at (0,0,\l);
+ \coordinate (SP) at (0,0,-\l);
+
+ % \draw (SP) node[dot, gray] {};
+ % \draw (NP) node[dot, gray] {};
+
+ % gray unit circle
+ \tdplotdrawarc[gray]{(O)}{\l}{0}{360}{}{};
+ \draw[gray, dashed] (-\l, 0, 0) to (\l, 0, 0);
+ \draw[gray, dashed] (0, -\l, 0) to (0, \l, 0);
+
+ % axis
+ \draw[->] (O) -- ++(1.25*\l,0,0) node[left] {\(\mathbf{\hat{x}}\)};
+ \draw[->] (O) -- ++(0,1.25*\l,0) node[right] {\(\mathbf{\hat{y}}\)};
+ \draw[->] (O) -- ++(0,0,1.25*\l) node[above] {\(\mathbf{\hat{z}}\)};
+
+ % meridians
+ \foreach \phi in {0, 30, 60, ..., 150}{
+ \tdplotsetrotatedcoords{\phi}{90}{0};
+ \tdplotdrawarc[lightgray, densely dotted, tdplot_rotated_coords]{(O)}{\l}{0}{360}{}{};
+ }
+
+ % dot above and its projection
+ \pgfmathsetmacro{\phi}{120}
+ \pgfmathsetmacro{\theta}{40}
+
+ \pgfmathsetmacro{\px}{cos(\phi)*sin(\theta)*\l}
+ \pgfmathsetmacro{\py}{sin(\phi)*sin(\theta)*\l}
+ \pgfmathsetmacro{\pz}{cos(\theta)*\l})
+
+ % point A
+ \coordinate (A) at (\px,\py,\pz);
+ \coordinate (Ap) at (\px,\py, 0);
+
+ % lines
+ \draw[red!80!black, ->] (O) -- (A);
+ \draw[red!80!black, densely dashed] (O) -- (Ap) -- (A)
+ node[above right] {\(\mathbf{\hat{r}}\)};
+
+ % arcs
+ \tdplotdrawarc[blue!80!black, ->]{(O)}{.8\l}{0}{\phi}{}{};
+ \node[below right, blue!80!black] at (.8\l,0,0) {\(\bm{\hat{\varphi}}\)};
+
+ \tdplotsetrotatedcoords{\phi-90}{-90}{0};
+ \tdplotdrawarc[blue!80!black, ->, tdplot_rotated_coords]{(O)}{.95\l}{0}{\theta}{}{};
+ \node[above right = 1mm, blue!80!black] at (0,0,.8\l) {\(\bm{\hat{\vartheta}}\)};
+
+
+ % dots
+ \draw (O) node[dot] {};
+ \draw (A) node[dot, fill = red!80!black] {};
+
+\end{tikzpicture}
+\end{document}
+% vim:ts=2 sw=2 et:
diff --git a/presentation/figures/surface-laplacian-eeg.pdf b/presentation/figures/surface-laplacian-eeg.pdf
new file mode 100644
index 0000000..f066a30
--- /dev/null
+++ b/presentation/figures/surface-laplacian-eeg.pdf
Binary files differ