raphman + math   156

0x5f3759df | Hummus and Magnets
This post is about the magic constant 0x5f3759df and an extremely neat hack, fast inverse square root, which is where the constant comes from.
algorithms  article  programming  math  c  floating_point  sqrt  _eimi  encoding 
december 2017 by raphman
DSPIllustrations.com
Learning DSP Illustrated
Digital signal processing, foundations of communications engineering and physical layer communication techniques.

Illustrative explanation instead of boring math
dsp  illustration  math  _itt 
may 2017 by raphman
How should mathematics be taught to non-mathematicians? | Gowers's Weblog
This is the process of coming up with estimates of the correct order of magnitude for various real-world quantities. Here are a few examples.
education  math  ideas  cool  estimation  mathematics 
october 2016 by raphman
Book of Proof
This book is an introduction to the standard methods of proving mathematical theorems. It has been approved by the American Institute of Mathematics' Open Textbook Initiative.
book  mathematics  math  proof  ebook  free 
august 2016 by raphman
Brainfilling Curves - A Fractal Bestiary
A visual math expedition, lead by a lifelong fractal explorer. This book introduces an intuitive scheme for identifying types of plane-filling fractal curves. Ventrella presents a novel taxonomy for categorizing and generating plane-filling curve families, It extends Mandelbrot's themes and terminology to include an infinite universe of fractal beauty.

Over 200 amazing specimens are explored, including the 'classics' of Koch, Peano, Hilbert, Gosper, and Mandelbrot, and revealing over a hundred never-seen-before specimens, all categorized into a vast family tree. Many are rendered with provocative coloring.
art  fractal  math  hilbert  curve  book 
december 2014 by raphman
s2-geometry-library - A Library for Spherical Math - Google Project Hosting
The S2 Geometry Library is a spherical geometry library, very useful for manipulating regions on the sphere (commonly on Earth) and indexing geographic data.
geo  gis  java  math  geolocation  geometry 
august 2014 by raphman
SymPy
SymPy is a Python library for symbolic mathematics. It aims to become a full-featured computer algebra system (CAS) while keeping the code as simple as possible in order to be comprehensible and easily extensible. SymPy is written entirely in Python and does not require any external libraries.
library  math  mathematics  python 
july 2014 by raphman
Miquon Math - Miqoun Math
Miquon Math is a curriculum for Grades 1-3, developed in the 1960s by Lore Rasmussen at the Miquon School in Pennsylvania. Its hands-on lab approach helps children actively explore math concepts, learning by doing.
children  education  learning  math  teaching  curriculum 
june 2014 by raphman
Der Rechenblatt Generator - übungsblatt, Aufgabenblatt, Mathematik, Rechnen, Grundschule, 10 Minuten Rechenen
Diese Seite generiert ein Aufgabenblatt mit zufällig erstellen Plus-, Minus-, Multiplikations- und Divisionsaufgaben im gewünschten Zahlenraum.
math  german  tool  webapp  children  learning  resource 
december 2013 by raphman
Quaternions
Tracking Orientation with Quaternions
3d  math  tutorial  quaternions 
november 2013 by raphman
Preferred number - Wikipedia, the free encyclopedia
In industrial design, preferred numbers (also called preferred values) are standard guidelines for choosing exact product dimensions within a given set of constraints.
design  math  ux  wikipedia  dimensions 
november 2013 by raphman
Power, Work, and Money
Engineers and scientists will never make as much money as business executives.

Now comes a rigorous mathematical proof that explains why this is true.

Postulate 1 : Knowledge is Power.
Postulate 2 : Time is Money.

As every engineer knows,

WORK
------ = POWER
TIME

Since KNOWLEDGE = POWER and TIME = MONEY , we have :

WORK
------ = KNOWLEDGE
MONEY

Solving for MONEY, we get :

WORK
------------ = MONEY
KNOWLEDGE

So, for any positive non-zero WORK: MONEY approaches infinity as lim(KNOWLEGE -> 0)


Thus as KNOWLEDGE approaches zero, MONEY approaches infinity
regardless of the WORK done.
math  equation  work  fun  humor  competence  knowledge 
september 2013 by raphman
ceres-solver - A Nonlinear Least Squares Minimizer - Google Project Hosting
Ceres Solver is a portable C++ library that allows for modeling and solving large complicated nonlinear least squares problems.
library  math  c++  algorithm  opensource  crossplatform  google  optimization 
august 2013 by raphman
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