Sentence examples for sufficient for solving from inspiring English sources
These two methods are sufficient for solving most problems encountered in Naval Architecture.
Because we nowhere assumed the thesis of direct reference or relied on any substitution principle seemingly entailed by the thesis of direct reference, Kripke concludes that simply denying the thesis of direct reference is not sufficient for solving the original Frege puzzle.
This fact can explain why the topic of heterologous gene expression is often very challenging and why synonymous manipulation on the protein alone is not always sufficient for solving problems in this field.
Necessary and sufficient conditions for solving the consensus problem with the considered general protocol are obtained, namely, all the gains realizing the consensus can be described.
Based on the classical results of simultaneous stabilization, a necessary and sufficient condition for solving the problem is presented as well as a design procedure for constructing such a compensator.
Sources of data on wind pressure distributions over building walls and shielding influence of nearby buildings are provided together with a detailed description of a procedure for solving network airflows sufficient for readers to write their own computer code.
Quite recently, Liu et al. [7] developed two unified frameworks of some sufficient descent conjugate gradient projection methods for solving monotone (operatorname{CES}(F,C)), which are also applied to solve large-scale nonsmooth constrained equations.
This simplistic approach is not sufficient when we try to evaluate ACO algorithms used for solving the problem.
(A "necessary and sufficient" model means that it includes the information necessary for solving the problem and that it does not include the unnecessary (too detailed) information).
For the purpose of this work, the implementation of MCML as the method for solving the radiative transfer equation is sufficient and straight-forward.
This allowed to prove the uniqueness theorem and to obtain a constructive procedure for solving the inverse problem along with necessary and sufficient conditions of its solvability.
