Title

From 90e49e8658c551646dd889a65952ac945d5aba05 Mon Sep 17 00:00:00 2001 From: Mitja Felicijan Date: Fri, 21 Sep 2018 12:53:51 +0200 Subject: content update --- slides/math/index.html | 114 +++++++++++++++++++++++++++++++++++++++++++++++++ slides/math/slides.md | 109 ++++++++++++++++++++++++++++++++++++++++++++++ 2 files changed, 223 insertions(+) create mode 100644 slides/math/index.html create mode 100644 slides/math/slides.md (limited to 'slides') diff --git a/slides/math/index.html b/slides/math/index.html new file mode 100644 index 0000000..3f28112 --- /dev/null +++ b/slides/math/index.html @@ -0,0 +1,114 @@ + + + + + + Title + + + + + + + + + + + + + + + diff --git a/slides/math/slides.md b/slides/math/slides.md new file mode 100644 index 0000000..8f82b6d --- /dev/null +++ b/slides/math/slides.md @@ -0,0 +1,109 @@ +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