Ch 5
... Frictional force depends on the materials that the surfaces are made of. For example, there is more friction between skis and concrete than there is between skis and snow. The normal force between the two objects also matters. The harder one object is pushed against the other, the greater the force ...
... Frictional force depends on the materials that the surfaces are made of. For example, there is more friction between skis and concrete than there is between skis and snow. The normal force between the two objects also matters. The harder one object is pushed against the other, the greater the force ...
Universal Identities I
... for indeterminates A, B, C, A0 , B 0 , and C 0 and f, g, and h in Z[A, B, C, A0 , B 0 , C 0 ]. Notice (2.1) implies a similar formula for sums of three squares in any commutative ring by specializing the 6 indeterminates to any 6 elements of any commutative ring. So (2.1) implies that sums of three ...
... for indeterminates A, B, C, A0 , B 0 , and C 0 and f, g, and h in Z[A, B, C, A0 , B 0 , C 0 ]. Notice (2.1) implies a similar formula for sums of three squares in any commutative ring by specializing the 6 indeterminates to any 6 elements of any commutative ring. So (2.1) implies that sums of three ...
Introduction to representation theory of finite groups
... Thus, the linear span of v is a one-dimensional subrepresentation of K[G], which is isomorphic to the trivial representation. In particular, the regular representation is never irreducible, unless |G| = 1. Definition 1.9. Let V and W be two representations of G. The direct sum of V and W is the repr ...
... Thus, the linear span of v is a one-dimensional subrepresentation of K[G], which is isomorphic to the trivial representation. In particular, the regular representation is never irreducible, unless |G| = 1. Definition 1.9. Let V and W be two representations of G. The direct sum of V and W is the repr ...
