Sentence examples for certain approximation from inspiring English sources
Under a certain approximation in our grafting system, we obtain exact expressions for the weight-average molecular weight and gel point of the system.
In the authors' earlier work [1], a component length scale control functional was proposed to regulate the topology evolution with uniform thickness distribution; however, the sensitivity result was numerically calculated with certain approximation.
We use the notion of A-compact sets (determined by an operator ideal A), introduced by Carl and Stephani (1984), to show that many known results of certain approximation properties and several ideals of compact operators can be systematically studied under this framework.
The efficiency is evaluated of various semianalytical annular finite elements in predicting the vibrational modes for disks where the effect of transverse shear and rotary inertia becomes important, with reference both to the minimum number of degrees of freedom and to the minimum number of operations required to achieve a certain approximation for the exact natural frequency value.
We show that a σ-weakly closed subspace J of the bounded operators BH on an infinite dimensional Hilbert space H has Property Sσ (the Fubini product (LT =L⊗ for all σ-weakly closed subspaces T⊂B(H)) if and only if J satisfies a certain approximation property, which we call the σ-weak approximation property.
The closer the similarity between the objects, the fewer terms are needed in the expansion to achieve certain approximation goodness [46].
The validity of certain approximations made previously is considered, and it is shown that these must be made with care.
Our results highlight the sensitivity of stochastic measures to cell division fate and quantify the limitations of using certain approximations (such as the fixed-population and mean-field assumptions) in evaluating fixation times.
This chapter presents the only so far developed practical method, which by certain approximations and idealizations of the actual physical model enables estimation of essential characteristics of this type of grounding system.
We present a numerical study aimed at assessing the validity of certain approximations, chiefly the fluid and quasi-neutral ones, generally used in the theoretical and computational study of fusion plasmas.
In this paper, a method is presented which, subject to certain approximations, permits the evaluation of the influence of the fluid on the frequency of any vibration mode whose deflection curve in a vacuum is known.
