IT may perhaps be rather an exaggerated statement, but it is none the less to a great extent true, that mathematicians tend to divide themselves into two classes, quaternionists and non quaternionists ...
A Simplified Analytic Attitude Determination Algorithm using Accelerometer and Magnetometer on micro:bit. It's like magic! This algorithm turns raw data into accurate and efficient quaternion ...
ABSTRACT: In this paper, the solution of the matrix second semi-tensor product equation A ∘ l X ∘ l B=C is studied. Firstly, the solvability of the matrix-vector second semi-tensor product equation is ...
Overflow or underflow occurs when the divisor is a giant or minute number in quaternion and octanion division. The following code, which is expected to yield 1, unexpectedly yields NaN. T denominator ...
ChatGPT has already wreaked havoc on classrooms and changed how teachers approach writing homework, since OpenAI publicly launched the generative AI chatbot in late 2022. School administrators rushed ...
AlphaProof and AlphaGeometry 2 are steps toward building systems that can reason, which could unlock exciting new capabilities. AI models can easily generate essays and other types of text. However, ...
An illustration of a magnifying glass. An illustration of a magnifying glass.
Bill Whitaker is an award-winning journalist and 60 Minutes correspondent who has covered major news stories, domestically and across the globe, for more than four decades with CBS News. A high school ...
Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...