Sentence examples for multiplicity of an from inspiring English sources

For a self-adjoint problem L m (Q, h, H) all its eigenvalues are real and the geometric multiplicity of an eigenvalue is equal to its algebraic multiplicity.

The "deficient" system that exists when the geometric multiplicity of an eigenvalue of a linear vibrating system is less than its algebraic multiplicity is defined and constructed.

Since the algebraic multiplicity of an eigenvalue is always greater than or equal to its geometric multiplicity, a non-repeated eigenvalue of L has exactly one monic polynomial as an eigenfunction.

We refer to [114] for a sketchy proof, let us just observe that if we have a continuous family of finite dimensional representations, the multiplicity of an irreducible summand is a locally constant function on the parameter space T (being given by the scalar product of the respective trace functions, it is an integer valued continuous function, hence locally constant).

The analytic multiplicity of an eigenvalue λ of the problem (Equations 1 to 5) is its order as a root of the characteristic equation ω = 0. Let θ i > 0, i = 1, m ¯ Open image in new window, and ρ j > 0, j = 1,2.

The multiplicity of an alignment yields information on the repetitiveness of a genomic region.

The multiplicity of a zero of the function is called the multiplicity of the corresponding eigenvalue of.

The multiplicity of a system is a quantitative measure of the ways of arranging a system.

Definition 3.1 The multiplicity of a zero of F in T is called the multiplicity of the corresponding eigenvalue or spectral singularity of the BVP (1.3), (1.4).

Hence, the method of complex scaling identifies the multiplicity of a resonance with a trace of a (non-orthogonal) projection.

GIST882 cells were incubated with 50 moi (multiplicity of infection) of Ad.hK1 or Ad.Null overnight.