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.

I knew her primarily through abstract algebra.) Throughout the history of the two fields, mathematics and physics have each contributed important ideas to the other. Mathematician Hermann Weyl’s work ...

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

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.

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 ...