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From 6a98c802fd7400510b2469ccb9315f5d31c7155a Mon Sep 17 00:00:00 2001 From: Mitja Felicijan Date: Sun, 23 Sep 2018 22:43:26 +0200 Subject: content update --- slides/math/index.html | 114 ------------------------------------------------- slides/math/slides.md | 109 ---------------------------------------------- 2 files changed, 223 deletions(-) delete mode 100644 slides/math/index.html delete mode 100644 slides/math/slides.md (limited to 'slides/math') diff --git a/slides/math/index.html b/slides/math/index.html deleted file mode 100644 index 3f28112..0000000 --- a/slides/math/index.html +++ /dev/null @@ -1,114 +0,0 @@ - - - - - - Title - - - - - - - - - - - - - - - diff --git a/slides/math/slides.md b/slides/math/slides.md deleted file mode 100644 index 8f82b6d..0000000 --- a/slides/math/slides.md +++ /dev/null @@ -1,109 +0,0 @@ -layout: true ---- - -# Why understanding of basic math is imporant for computer programing - -September 21, 2018 - -[@mitjafelicijan](https://twitter.com/mitjafelicijan) - ---- - -### "We Cannot Solve Our Problems With The Same Thinking We Used When We Created Them." - -#### — Albert Einstein - ---- - -## How we usually find solutions and why this is problematic? - -- We search for code example instead of algorithms. -- We copy and paste and do testing on trial&error principle. -- We don't take enough time to properly understand problem we a re trying to solve. -- Brute force solutions we make are usually not optimized - ---- - -## Math is horrible and I don't need it! - -- Well, YES :) Math can be horrible but also beautiful to implement. -- Disregarding math is disregarding thousands of years of knowledge. -- Math is not only for scientists. -- Good algorithm is as optimized as your code is when you are done with it. -- Math is the search for patterns and anti-patterns in natural universe and making these findings into tools accessible to ordinary people. - ---- - -## Coordinate Geometry - -A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates. - -![image](https://www.onlinemathlearning.com/image-files/xcoordinate-geometry-formula.png.pagespeed.ic.cqp4Ryqey8.png) - ---- - -## Distance formula - -![](https://s3.amazonaws.com/ck12bg.ck12.org/curriculum/108383/thumb_540_50.jpg) - ---- - -## Linear Algebra - -Linear algebra is the branch of mathematics concerning linear equations such as. linear functions such as. and their representations through matrices and vector spaces. - -![image](https://thumbs.gfycat.com/VeneratedSpitefulFrilledlizard-size_restricted.gif) - -- [Graphical Linear Algebra](https://graphicallinearalgebra.net/) -- [Linear Relations](https://graphicallinearalgebra.net/2015/12/26/27-linear-relations/) -- [Diagrams in charts](https://graphicallinearalgebra.files.wordpress.com/2015/11/ih.gif) - ---- - -## Vectors and spaces - -- Space vector also called linear vector -- Vector = magnitude + direction -- Example: velocity vector (5kmh/west) - -![](https://i.ytimg.com/vi/0oSe9vx-W54/maxresdefault.jpg?img350) - ---- - -## Shortest path problem - -In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. - -Shortest path (A, C, E, D, F) between vertices A and F in the weighted directed graph - -![](https://upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Shortest_path_with_direct_weights.svg/250px-Shortest_path_with_direct_weights.svg.png) -![](http://new.gctm-resources.org/migrating/658-00.png) - -[Wiki: Shortest path problem](https://en.wikipedia.org/wiki/Shortest_path_problem) - ---- - -## Dijkstra's shortest path algorithm - -![](https://upload.wikimedia.org/wikipedia/commons/5/57/Dijkstra_Animation.gif) -![](https://upload.wikimedia.org/wikipedia/commons/2/23/Dijkstras_progress_animation.gif) - -![](https://cdn-images-1.medium.com/max/735/0*OiVoLu09VJp-oHwJ.png?img300) -![](https://www.mathworks.com/matlabcentral/mlc-downloads/downloads/submissions/20025/versions/3/screenshot.jpg?img300) - ---- - -## HTML5 Canvas - -- [HTML5 Canvas : Matrix Transforms](https://www.w3resource.com/html5-canvas/html5-canvas-matrix-transforms.php) -- [Visualizing linear algebra using the html5 -canvas: matrices and quaternions](http://archives.math.utk.edu/ICTCM/VOL28/A007/paper.pdf) -- [Matrix rain animation using HTML5 canvas and javascript](https://codepen.io/riazxrazor/pen/Gjomdp) -- [Convoluton matrix](https://www.phpied.com/canvas-pixels-2-convolution-matrix/) - ---- - -## Going further - -- [Basic Linear Algebra for Deep Learning](https://towardsdatascience.com/linear-algebra-for-deep-learning-f21d7e7d7f23) -- [Deep learning book](https://www.deeplearningbook.org/contents/linear_algebra.html) -- cgit v1.2.3