resolvent

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resolvent

 [re-zol´vent]
1. promoting resolution or the dissipation of a pathologic growth.
2. an agent that promotes resolution.
Miller-Keane Encyclopedia and Dictionary of Medicine, Nursing, and Allied Health, Seventh Edition. © 2003 by Saunders, an imprint of Elsevier, Inc. All rights reserved.

re·sol·vent

(rē-zol'vĕnt),
1. Causing resolution.
2. An agent that arrests an inflammatory process or causes the absorption of a neoplasm.
Farlex Partner Medical Dictionary © Farlex 2012

resolvent

(rĭ-zŏl′vənt)
adj.
Causing or able to cause separation into constituents; solvent.
n.
A resolvent substance, especially a medicine that reduces inflammation or swelling.
The American Heritage® Medical Dictionary Copyright © 2007, 2004 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved.

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References in periodicals archive ?
It is well-known that A is an m-accretive operator (equivalently, A is maximal monotone) with compact resolvents (cf.
During the clause learning process, each learned clause is a resolvent of linear regular resolution from existing clauses [4].
The resolvent literals inherit their indices from their parent clauses, and if there is more than one possible inherited index for a literal then we assign the lowest index to that literal [16].
We shall note that the problem of bounding [parallel][A.sup.1/p][parallel] and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] reduces to bounding the resolvent functions that are involved in the integral representations.
In a real Hilbert space, many authors have studied the algorithms involving the construction of the sequences of sets [{[K.sub.n]}.sup.[infinity].sub.n=1] and the metric projections [{[x.sub.n]}.sup.[infinity].sub.n=1], from an arbitrary [x.sub.0] [member of] H, where [mathematical expression not reproducible], while [mathematical expression not reproducible] is the projection map and [{[u.sub.n]}.sup.[infinity].sub.n=1] is the sequence of the resolvent of the bifunctions, (see, for example, [4, 9] and references therein).
Recently, the theory of resolvent families was formulated rapidly for the application of differential and integral equations, including the concepts of integrated solution operators [29], fractional resolvent operators [30], and (a, k)-regularized resolvent operators [19].
Similar decay results have also been obtained for the resolvent [(zI - A).sup.-1], the inverse square root [A.sup.-1/2], and the exponential exp(A); see [48, 49, 66, 74].
In conclusion, the resolvent and Green's function of the corresponding q-Hamiltonian are found in [section] 11.
Our schemes are based on a suitable quadrature rule for the contour integrals combined with an error controlled application of the involved resolvents at the quadrature points.
We demonstrate that even for moderate size matrices these bounds give fairly good estimates of the behavior of matrix powers, the matrix exponential, and the resolvent norm.
The meaning of such a declaration is that the atom p(??) can be selected in a resolvent c, Q only if the constraint c which has been produced so far in the derivation satisfies the condition Condition(??).
For a positive real number [alpha], we denote by [J.sup.M.sub.[alpha]] the resolvent of a monotone operator M; that is, [J.sup.M.sub.[alpha]](x) = [(I + [alpha]M).sup.-1](x) for any x [member of] H.