Sentence examples for a certain approximation of from inspiring English sources

In short, the derivation of (1.2) is based on the local truncated error analysis and the error correction term comes from a certain approximation of the difference between the true solution of SDEs and one-step explicit Milstein approximation.

At any convenient stage the electromagnetic modes can be canonically quantized via (Phi tohat{Q} sim(b+b^{dagger})), (dot{Phi} tohat{P} sim i b-b^{dagger })), leadi b-b^{dagger certain approximation of an approach based directly on Eq. (1).

The actual hob tooth profile is a certain linear approximation of the desired profile.

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 upper bound is equal to the cost of the new algorithm and is given in terms of the complexity of a certain function approximation problem.

This considerably reduces the complexity of the calculation but introduces a certain level of approximation, as most coordinates are neglected.

There is always a certain level of approximation and arbitrariness in various allocation keys in this costing methodology - an intrinsic limitation.

This method is developed with the purpose of being used in a vehicle design process and therefore it must have a low computational cost, which requires a certain number of approximations.

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.

In the USA, we use Federal Reserve Notes or "dollar bills" not only because their use is imposed on us by force of law, but also because we have a collective memory, built up over generations, of goods' having "always" been exchangeable for these dollars and that, to a reasonable approximation, a certain number of dollars buys a particular amount of some real good or service.

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.