Search Results for ""

A subset {v_1,...,v_k} of a vector space V, with the inner product <,>, is called orthonormal if <v_i,v_j>=0 when i!=j. That is, the vectors are mutually perpendicular. ...

alpha=1/Nsum_(i=1)^N|x_i-mu|=<|x_i-mu|>.

An "area" which can be defined for every set--even those without a true geometric area--which is rigid and finitely additive.

Among the continuous functions on R^n, the positive definite functions are those functions which are the Fourier transforms of nonnegative Borel measures.

If O_(p^')(G)=1 and if x is a p-element of G, then L_(p^')(C_G(x))<=E(C_G(x)), where L_(p^') is the p-layer.

A surface which has no edges.

All lengths can be expressed as real numbers.

A complex polynomial is a polynomial with complex coefficients.

An immediate consequence of a result already proved. Corollaries usually state more complicated theorems in a language simpler to use and apply.

The dihedral group D_3 is a particular instance of one of the two distinct abstract groups of group order 6. Unlike the cyclic group C_6 (which is Abelian), D_3 is ...