Quanta Magazine13d
‘Groups’ Underpin Modern Math. Here’s How They Work.
What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as ...
Three Scientists Say Einstein Was Slightly Wrong About Spacetime
One of the biggest headaches of the physics world is that Albert Einstein’s General Theory of Relativity —which does a pretty ...
National Centre for Excellence in the Teaching of Mathematics2y
Commutativity (part 2), doubling and halving
Problems about two/five/ten equal groups can be solved using facts from the two/five/ten times table. (commutativity) Teaching point 2: If two is a factor, knowledge of doubling facts can be used to ...
National Centre for Excellence in the Teaching of Mathematics2y
Times tables: groups of 2 and commutativity (part 1)
Teaching point 3: Factor pairs can be written in either order, with the product remaining the same (commutativity). The NCETM is led and delivered by Etio (formerly Tribal Education Services), with ...
IEEE9mon
Nonlinear commutativity preserving maps on self-adjoint operators
Abstract: We characterize the bijective nonlinear maps of the set of all self-adjoint bounded linear operators on a complex separable Hilbert space H of dimension at least 3 which preserve ...
Science Daily7d
Big algebras: A dictionary of abstract math
Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...
Wikiwand7d
Algebraic structure
Set with operations obeying given axioms From Wikipedia, the free encyclopedia Sets with one or more operations that obey specific laws are called algebraic structures. When a new problem involves the ...
Wikiwand1y
Lie algebra
"Lie bracket" redirects here. For the operation on vector fields, see Lie bracket of vector fields. In physics, Lie groups appear as symmetry groups of physical systems, and their Lie algebras ...
IEEE2y
Some classes of quasi-pseudo-MV algebras
According to the operations, quasi-pMV algebras are divided into two classes, one is based on the commutativity of the binary operation and the other is based on the consistency of the two unary ...
LinkedIn11mon
What is the best way to handle database write conflicts in a distributed system?
CRDTs achieve this by using mathematical properties such as commutativity, associativity, and idempotence, or by applying rules such as last-write-wins or majority-vote. CRDTs are suitable for ...
GitHub1y
Graph Component Contrastive Learning
We discover that this underlying graph satisfies a set of intrinsic properties of CRE, including reflexivity, commutativity, and transitivity. In this paper, we formalize the CRE properties and ...