diff --git a/contents/backward_euler_method/backward_euler_method.md b/contents/backward_euler_method/backward_euler_method.md index 20ffbb0ae..b192218e7 100644 --- a/contents/backward_euler_method/backward_euler_method.md +++ b/contents/backward_euler_method/backward_euler_method.md @@ -8,23 +8,3 @@ MORE TO COME!!! -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/barnes_hut_algorithm/barnes_hut_algorithm.md b/contents/barnes_hut_algorithm/barnes_hut_algorithm.md index 038813bfe..a532ec7c1 100644 --- a/contents/barnes_hut_algorithm/barnes_hut_algorithm.md +++ b/contents/barnes_hut_algorithm/barnes_hut_algorithm.md @@ -11,23 +11,3 @@ TODO -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/bitlogic/bitlogic.md b/contents/bitlogic/bitlogic.md index 32898cd11..a03a99c6e 100644 --- a/contents/bitlogic/bitlogic.md +++ b/contents/bitlogic/bitlogic.md @@ -136,23 +136,3 @@ That's about it for bitlogic. I realize it was a bit long, but this is absolutel -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/bogo_sort/bogo_sort.md b/contents/bogo_sort/bogo_sort.md index 3278de306..053d14856 100644 --- a/contents/bogo_sort/bogo_sort.md +++ b/contents/bogo_sort/bogo_sort.md @@ -79,22 +79,3 @@ Program.cs -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ diff --git a/contents/bubble_sort/bubble_sort.md b/contents/bubble_sort/bubble_sort.md index 5e50d4893..20716a107 100644 --- a/contents/bubble_sort/bubble_sort.md +++ b/contents/bubble_sort/bubble_sort.md @@ -98,22 +98,3 @@ Program.cs -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ diff --git a/contents/chans_algorithm/chans_algorithm.md b/contents/chans_algorithm/chans_algorithm.md index f79d9491d..3b4e11118 100644 --- a/contents/chans_algorithm/chans_algorithm.md +++ b/contents/chans_algorithm/chans_algorithm.md @@ -1,26 +1,7 @@ - -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - # Chan's Algorithm COMING SOON! + + diff --git a/contents/computational_geometry/computational_geometry.md b/contents/computational_geometry/computational_geometry.md index 83c758ad8..56451c5f9 100644 --- a/contents/computational_geometry/computational_geometry.md +++ b/contents/computational_geometry/computational_geometry.md @@ -7,22 +7,3 @@ We will add more to this section as the Archive evolves, so let me know of any a -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ diff --git a/contents/convolutions/convolutions.md b/contents/convolutions/convolutions.md index 637c9b720..f74f7f458 100644 --- a/contents/convolutions/convolutions.md +++ b/contents/convolutions/convolutions.md @@ -111,23 +111,3 @@ Remember that each element of the frequency-space array is a different waveform -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/cooley_tukey/cooley_tukey.md b/contents/cooley_tukey/cooley_tukey.md index 99f152922..6eea06f44 100644 --- a/contents/cooley_tukey/cooley_tukey.md +++ b/contents/cooley_tukey/cooley_tukey.md @@ -236,23 +236,3 @@ Some rather impressive scratch code was submitted by Jie and can be found here: -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/data_compression/data_compression.md b/contents/data_compression/data_compression.md index 709d43748..20be52d89 100644 --- a/contents/data_compression/data_compression.md +++ b/contents/data_compression/data_compression.md @@ -125,23 +125,3 @@ This measure can be used as a direct test of certain simple data compression tec -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/decision_problems/decision_problems.md b/contents/decision_problems/decision_problems.md index ef367bbff..9454863fd 100644 --- a/contents/decision_problems/decision_problems.md +++ b/contents/decision_problems/decision_problems.md @@ -9,23 +9,3 @@ Overall, these problems come up all over the place and are certainly worth study -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/euclidean_algorithm/euclidean_algorithm.md b/contents/euclidean_algorithm/euclidean_algorithm.md index 86c976750..82a88d106 100644 --- a/contents/euclidean_algorithm/euclidean_algorithm.md +++ b/contents/euclidean_algorithm/euclidean_algorithm.md @@ -122,22 +122,3 @@ Program.cs -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ diff --git a/contents/forward_euler_method/forward_euler_method.md b/contents/forward_euler_method/forward_euler_method.md index ba0b8be63..6f637b94f 100644 --- a/contents/forward_euler_method/forward_euler_method.md +++ b/contents/forward_euler_method/forward_euler_method.md @@ -126,22 +126,3 @@ Full code for the visualization follows: -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ diff --git a/contents/gaussian_elimination/gaussian_elimination.md b/contents/gaussian_elimination/gaussian_elimination.md index 34c4d3ca1..d3c3853c9 100644 --- a/contents/gaussian_elimination/gaussian_elimination.md +++ b/contents/gaussian_elimination/gaussian_elimination.md @@ -452,22 +452,3 @@ As for what's next... Well, we are in for a treat! The above algorithm clearly h -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ diff --git a/contents/gift_wrapping/gift_wrapping.md b/contents/gift_wrapping/gift_wrapping.md index 66fa24ffd..894ce8590 100644 --- a/contents/gift_wrapping/gift_wrapping.md +++ b/contents/gift_wrapping/gift_wrapping.md @@ -9,23 +9,3 @@ Strictly speaking, though, the term is not entirely accurate for all convex hull -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/graham_scan/graham_scan.md b/contents/graham_scan/graham_scan.md index 9c0b941c5..e1a083a63 100644 --- a/contents/graham_scan/graham_scan.md +++ b/contents/graham_scan/graham_scan.md @@ -70,22 +70,3 @@ In the end, the code should look something like this: -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ diff --git a/contents/huffman_encoding/huffman_encoding.md b/contents/huffman_encoding/huffman_encoding.md index c641f5558..5477dff27 100644 --- a/contents/huffman_encoding/huffman_encoding.md +++ b/contents/huffman_encoding/huffman_encoding.md @@ -82,23 +82,3 @@ Program.cs -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/jarvis_march/jarvis_march.md b/contents/jarvis_march/jarvis_march.md index f30bd57e9..c145ac6c0 100644 --- a/contents/jarvis_march/jarvis_march.md +++ b/contents/jarvis_march/jarvis_march.md @@ -45,22 +45,3 @@ Program.cs -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ diff --git a/contents/matrix_methods/matrix_methods.md b/contents/matrix_methods/matrix_methods.md index 5d309777d..0315990ac 100644 --- a/contents/matrix_methods/matrix_methods.md +++ b/contents/matrix_methods/matrix_methods.md @@ -12,23 +12,3 @@ There are certainly more methods out there, so don't be offended if I have faile -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/monte_carlo_integration/monte_carlo_integration.md b/contents/monte_carlo_integration/monte_carlo_integration.md index e4154ca21..a7cac8492 100644 --- a/contents/monte_carlo_integration/monte_carlo_integration.md +++ b/contents/monte_carlo_integration/monte_carlo_integration.md @@ -131,22 +131,3 @@ Program.cs -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ diff --git a/contents/multiplication/multiplication.md b/contents/multiplication/multiplication.md index d6b1abeec..f5f15d94c 100644 --- a/contents/multiplication/multiplication.md +++ b/contents/multiplication/multiplication.md @@ -20,23 +20,3 @@ Sometimes it's even worth looking at trivial operations through a new lens. -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/notation/notation.md b/contents/notation/notation.md index fcc58cbac..5b937b0d3 100644 --- a/contents/notation/notation.md +++ b/contents/notation/notation.md @@ -203,23 +203,3 @@ If the runtime is awful, go back and see about implementing algorithms that are -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/quantum_systems/quantum_systems.md b/contents/quantum_systems/quantum_systems.md index a53f45c26..628184d20 100644 --- a/contents/quantum_systems/quantum_systems.md +++ b/contents/quantum_systems/quantum_systems.md @@ -247,23 +247,3 @@ As always, if there is something that you feel is missing from this section, ple -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/sorting_and_searching/sorting_and_searching.md b/contents/sorting_and_searching/sorting_and_searching.md index 06b5978c7..34962584d 100644 --- a/contents/sorting_and_searching/sorting_and_searching.md +++ b/contents/sorting_and_searching/sorting_and_searching.md @@ -13,23 +13,3 @@ Right now, there are only a few (straightforward) examples, so expect some more -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/split-operator_method/split-operator_method.md b/contents/split-operator_method/split-operator_method.md index 4152dc760..feaa33661 100644 --- a/contents/split-operator_method/split-operator_method.md +++ b/contents/split-operator_method/split-operator_method.md @@ -148,23 +148,3 @@ Checking to make sure your code can output the correct energy for a harmonic tra -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/stable_marriage_problem/stable_marriage_problem.md b/contents/stable_marriage_problem/stable_marriage_problem.md index 864816a55..41df485a1 100644 --- a/contents/stable_marriage_problem/stable_marriage_problem.md +++ b/contents/stable_marriage_problem/stable_marriage_problem.md @@ -47,23 +47,3 @@ ListExtensions.cs -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/taylor_series_expansion/taylor_series_expansion.md b/contents/taylor_series_expansion/taylor_series_expansion.md index 4cf7df71f..81a3cb0e5 100644 --- a/contents/taylor_series_expansion/taylor_series_expansion.md +++ b/contents/taylor_series_expansion/taylor_series_expansion.md @@ -46,23 +46,3 @@ This shows the true power of the Taylor Series Expansion. It allows us to more e -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ - diff --git a/contents/thomas_algorithm/thomas_algorithm.md b/contents/thomas_algorithm/thomas_algorithm.md index 2be5b674e..b2b68a4af 100644 --- a/contents/thomas_algorithm/thomas_algorithm.md +++ b/contents/thomas_algorithm/thomas_algorithm.md @@ -53,22 +53,3 @@ This is a much simpler implementation than Gaussian Elimination and only has one -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ diff --git a/contents/tree_traversal/tree_traversal.md b/contents/tree_traversal/tree_traversal.md index c33c5bb83..765c9b4d1 100644 --- a/contents/tree_traversal/tree_traversal.md +++ b/contents/tree_traversal/tree_traversal.md @@ -241,22 +241,3 @@ The code snippets were taken from this [Scratch project](https://scratch.mit.edu -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$ diff --git a/contents/verlet_integration/verlet_integration.md b/contents/verlet_integration/verlet_integration.md index 8abdb1a08..17840ab5a 100644 --- a/contents/verlet_integration/verlet_integration.md +++ b/contents/verlet_integration/verlet_integration.md @@ -204,22 +204,3 @@ Submitted by P. Mekhail -$$ -\newcommand{\d}{\mathrm{d}} -\newcommand{\bff}{\boldsymbol{f}} -\newcommand{\bfg}{\boldsymbol{g}} -\newcommand{\bfp}{\boldsymbol{p}} -\newcommand{\bfq}{\boldsymbol{q}} -\newcommand{\bfx}{\boldsymbol{x}} -\newcommand{\bfu}{\boldsymbol{u}} -\newcommand{\bfv}{\boldsymbol{v}} -\newcommand{\bfA}{\boldsymbol{A}} -\newcommand{\bfB}{\boldsymbol{B}} -\newcommand{\bfC}{\boldsymbol{C}} -\newcommand{\bfM}{\boldsymbol{M}} -\newcommand{\bfJ}{\boldsymbol{J}} -\newcommand{\bfR}{\boldsymbol{R}} -\newcommand{\bfT}{\boldsymbol{T}} -\newcommand{\bfomega}{\boldsymbol{\omega}} -\newcommand{\bftau}{\boldsymbol{\tau}} -$$