Sentence examples for corresponding to condition from inspiring English sources

Corollary 2 corresponding to condition (10) is a relation-theoretic version of a fixed point theorem of Chatterjea [5], which is not reported in the literature till date.

Fortunately, there are efficient algorithms to solve underdetermined systems of linear equations with respect to the sparsity constraint corresponding to condition (c) [8].

Corollary 2 corresponding to condition (8) can be viewed a relation-theoretic version of the Banach contraction principle which was established by Alam and Imdad [23].

Corollary 2 corresponding to condition (12) is a relation-theoretic version of a fixed point theorem due to Bianchini [4], which is new to the existing literature.

Corollary 2 corresponding to condition (19) is a relation-theoretic version of Hardy and Rogers [6], which is yet another addition to the existing literature.

Corollary 2 corresponding to condition (9) is a relation-theoretic version of famous Kannan fixed point theorem proved in [2], which remains a new result.

(5.2) The rest of the proof is separated into three parts corresponding to conditions (a - c), respectively.

The first series of flames has an equivalence ratio of 1.8, corresponding to conditions just above the sooting limit.

For the purpose of VHM, one needs the pure structural natural frequencies corresponding to conditions when the structure does not interact with the environment.

Then, the emphasis is laid on a specific forcing frequency range, corresponding to conditions of simultaneous fundamental parametric resonance and principal external resonance.

The cost functional here is given by the square of the L2 norm of an expression representing the deviation of the volume-averaged velocity corresponding to conditions of convection less growth.