A symmetry requires that the transformation not alter the size or shape of the object. A transformation that meets this requirement is known as an “isometry,” or a rigid motion, and the fundamental ...

Physics + Math Symmetry: How Beautiful Math Makes Elegant Physics By Don Lincoln Thursday, April 25, 2013 The Nature of Reality What does symmetry mean to physicists?

Continuous symmetry groups are mathematically represented by matrices -- rectangular arrays of numbers -- which can convert the properties of the mathematical object into linear algebra.

On the road to algebra, children must learn a weird idea: that numbers can be smaller than zero (negative) and can be mixed with numbers greater than zero (positive) in an equation.

The Virasoro vertex algebra arises as the symmetry algebra of a two-dimensional conformal field theory. The Virasoro irreducible modules are well-known, and they play a prominent role in rational ...

T. L. Wade, Tensor Algebra and Young's Symmetry Operators, American Journal of Mathematics, Vol. 63, No. 3 (Jul., 1941), pp. 645-657 ...

A 3D-printed decuplet crystal, skeleton, and nerves of a big algebra designed by Daniel Bedats. Printed with the Stratasys J750 3D printer at ISTA’s Miba Machine Shop. Symmetry is not just a ...