resolvent's Usage Examples:

In mathematics, the resolvent formalism is a technique for applying concepts from complex analysis to the study of the spectrum of operators on Banach.

The clause produced by a resolution rule is sometimes called a resolvent.

theory, the resolvent set of a linear operator is a set of complex numbers for which the operator is in some sense "well-behaved".

The resolvent set plays.

In Galois theory, a discipline within the field of abstract algebra, a resolvent for a permutation group G is a polynomial whose coefficients depend polynomially.

rational coefficients or the polynomial P2 − 1024 z Δ, named Cayley's resolvent, has a rational root in z, where P = z 3 − z 2 ( 20 r + 3 p 2 ) − z (.

differentiability can be made regarding the resolvent map.

The resolvent set ρ(T) is actually an open set on which the resolvent map is analytic.

This uses the resolvent of the Feller semigroup, defined below.

The resolvent of a Feller process (or semigroup) is a collection.

of choosing the "correct" resolvent of a linear operator at the essential spectrum based on the behavior of the resolvent near the essential spectrum.

as a bounded operator) is called the resolvent of T.

The spectrum of T is therefore the complement of the resolvent set of T in the complex plane.

In mathematics, resolvent meaning "that which resolves" may refer to: Resolvent formalism in operator theory Resolvent set in operator theory, the set.

} A solution of this form is referred to as the resolvent formalism, where the resolvent is defined as the operator R ( ω ) = 1 K − ω I .

becomes finding the roots of the resolvent cubic which is done elsewhere.

This resolvent cubic is equivalent to the resolvent cubic given above (equation (1a)).

In algebra, a resolvent cubic is one of several distinct, although related, cubic polynomials defined from a monic polynomial of degree four: P ( x ).

Liouville–Neumann series is an infinite series that corresponds to the resolvent formalism technique of solving the Fredholm integral equations in Fredholm.

R_{\lambda }(A)} is the resolvent of the operator A.

If this is the case, then the resolvent set actually contains.

method, Glasser's method, and the Cockle–Harley method of differential resolvents described below.

This decision is done by introducing auxiliary polynomials, called resolvents, whose coefficients depend polynomially upon those of the original polynomial.

This is a consequence of the complex-analyticity of the resolvent function.

denoted σ ( T ) {\displaystyle \sigma (T)} , and its complement, the resolvent set, is denoted ρ ( T ) = C ∖ σ ( T ) {\displaystyle \rho (T)=\mathbb.

Synonyms:

carbolic acid; dimethyl ketone; alcahest; xylene; medium; carbon tet; xylol; solvent; phenylic acid; perchloromethane; dissolving agent; carbon tetrachloride; tetrachloromethane; dissolvent; chlorobenzene; acetone; hexane; universal solvent; menstruum; toluene; propanone; alkahest; hydroxybenzene; methylbenzene; oxybenzene; naphtha; dissolver; phenol; remover;

Antonyms:

raw; immoderate;