Blogs about: Quaternions

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Fundamental group of SO(3) and Quaternions

chiasme wrote 6 days ago: The aim of this note is to compute the fundamental group of using quaternions. More precisely, an is … more →

Tags: Algebraic Topology, lie group, special orthogonal group

Frobenius theorem on real division algebras

Dan Shved wrote 1 week ago: This post is a proof of the well known Frobenius theorem. It’s nothing groundbreaking, I’m just writ … more →

Tags: Algebra., Algebra-2, Complex Numbers, division algebras, Extensions, Fields, Linear Algebra

Senior Thesis

axiompenguin wrote 1 month ago: This week I had to turn in my paper for my senior thesis. One thing was very clear: research and cou … more →

Tags: Math, mathematics, thesis, Undergraduate, Pythagorean triples, Complex Numbers

Irish mathematics for St. Patrick's Day5 comments

Matthew R. Francis wrote 2 months ago: The plaque commemorating the discovery of quaternions by William Rowan Hamilton. With so many websit … more →

Tags: Astronomy, Physics, and Related Fields, technical, Complex Numbers, Geometry, Math Concepts, mathematicians, mathematics, St. Patrick's Day

BalanceBot – Sensors and IMU Library

mostlyrobots2012 wrote 3 months ago: The BalanceBot needs to know if it’s upright to balance. If it starts tipping over in one direction … more →

Tags: balancebot, PID, Kalman filters, Robots, Arduino, IMU

BalanceBot - My First Post

mostlyrobots2012 wrote 3 months ago: The plan for BalanceBot is a two wheeled self-balancing robot. I’ve always wanted to build one since … more →

Tags: balancebot, PID, Kalman filters, Robots, Arduino

A "Lobachevsky-like" revolution in arithmetics

verabueh wrote 6 months ago: “I have not yet any clear view as to the extent to which we are at liberty arbitrarily to create ima … more →

Tags: Algebraic Concepts Characterized, Little Dramas Staged, Mathesis universalis, geometria speciosa, Leibniz, Grassmann, Dirmoser, hamilton, geometric product

Adding angular velocity to a rotation matrix

manikantannambi wrote 6 months ago: The current problem that I am trying to solve is how to add a small angular velocity ω to a rotation … more →

Tags: Angular Velocity, Rotation Matrix

Introduction to Ring Theory (1)

limsup wrote 7 months ago: Recall that in groups, one has only a binary operation *. Rings are algebraic structures with additi … more →

Tags: notes, Advanced, Ring theory, rings, Commutative Rings, Units, Fields, Division Rings, characteristic

Maths Week: Ireland's lack of logic1 comment

Vincent Kelly wrote 7 months ago: Guest post by Vincent Kelly We’re a bunch of dreamers uncomfortable with logic and the scientific me … more →

Tags: Guest Posts, Science, mathematics, Maths Week Ireland, hamilton, Individual

MATHEMATICA!

moonmartian wrote 10 months ago: 20 Things you didn’t know about math (until now). by Discover Magazine 1  The median score for … more →

Tags: Mathematica, Math, Bertrand Russell’s paradoxical “set of all sets, Alice in Wonderland odd facts, carl friedrich gauss, Discover Magazine Articles, German mathematician David Hilbert, Fermat's Last Theorem, Riemann hypothesis

Reading the Comics, July 1, 2012 3 comments

Joseph Nebus wrote 10 months ago: This will be a hastily-written installment since I married just this weekend and have other things o … more →

Tags: Comic Strips, Math, imaginary numbers, negative numbers, Comic Strip, Comics, Science, Willy and Ethel, Joe Martin

the universe in zero words

xi'an wrote 11 months ago: The universe in zero words: The story of mathematics as told through equations is a book with a very … more →

Tags: kids, statistics, University Life, Books, Bill Bryson, Book Review, Cardano's formula, Dana MacKenzie, Equations

Fluid Mechanics in Seven Dimensions?

Andrew wrote 1 year ago: Cayley-Dickson Algebras: The Cayley-Dickson algebras are special real algebras satisfying for   If w … more →

Tags: Curl, cross product, Fluid mechanics, Vorticity, cayley-dickson, octonions

What would I tell an alien about my Universe.

amenusa wrote 1 year ago: If an alien approached  me about our Universe,  I would say , We live in a Quaternion Universe.  A Q … more →

Tags: mathematics, Physics, Gravity, Astronomy (2)

3D Rotations With Quaternions1 comment

dansonlinepresence wrote 1 year ago: I am going to show you how 3D rotations can be done with quaternions. There are other tools than qua … more →

Tags: Programming, Math, Computer Graphics, Python, Programming 2, HOW TO?, Math 2, python 2, explanation

On manifolds homeomorphic to the 7-sphere

Akhil Mathew wrote 1 year ago: It has been known since Milnor’s famous paper that two smooth manifolds can be homeomorphic wi … more →

Tags: Topology, Hirzebruch signature formula, milnor, exotic spheres

Happenings – 2012 Feb 11

rip wrote 1 year ago: (This post is also in the “quaternions” category. If that’s what you’re look … more →

Tags: Diary, math quaternions, mathematics

Geometric Algebra book requests for January 2012

Quirino M. Sugon Jr wrote 1 year ago: I sent our department’s library coordinator the following list of book requests to be sent to … more →

Tags: Ateneo de Manila University, Bayro-Corrochano, Bidyut Kumar Datta, classical groups, Clifford Algebra, Computer Science, Daniel Fontijne, Department of Physics, Differential Geometry


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