Abstract: This paper proposes a new method for constructing a Multidimensional hash function based on quaternion presentation called Quaternion Hash Function QHF. The input data is divided into a ...
I'm interested in using a pow/exponent function on the Quaternion type to concisely represent repeated rotations. For quaternions specifically, I found an algorithm for this on the Mathematics ...
Originally, Maxwell attempted to express his electromagnetic theory using four-dimensional mathematics of quaternions. Maxwell’s equations were later re-written in a three-dimensional real vector form ...
Looking for the answers to ax² + bx + c = 0? A mathematician has rediscovered a technique that the ancient Babylonians used. By Kenneth Chang and Jonathan Corum The quadratic equation has frustrated ...
Forbes contributors publish independent expert analyses and insights. The Universe is out there, waiting for you to discover it. If all you had at your mathematical disposal was the idea of real ...
Dynamics and Control Systems Laboratory, School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, United States This paper lays out a framework to model the kinematics and ...
Imagine winding the hour hand of a clock back from 3 o’clock to noon. Mathematicians have long known how to describe this rotation as a simple multiplication: A number representing the initial ...
The description of the arguments to the Quaternion() function in the documentation is currently this: A Direction can also be created out of a Quaternion tuple, indicated with the Q() function, as ...