Sentence examples for derived the complete from inspiring English sources

By applying their generating functions, they derived the complete sums of products of the twisted (h, q -extension of Euler polynomials and numbers.

Kimura (1955) derived the complete solution of the differential equation, using the method of moments.

Rakich, A. & Rumsey, N. Method for deriving the complete solution set for three-mirror anastigmatic telescopes with two spherical mirrors.

Then the FE model is used to derive the complete stress field in the fibre and the matrix in the vicinity of a fibre fracture location.

This work demonstrates a new approach for directly deriving the complete energy distribution of populated sites from an experiment, in which basically all ions of one kind are depleted by the charge attachment induced transport technique (CAIT).

First, it derives the complete three-dimensional nonlinear coupled motion equation without any approximations based on diving relative motion relationship directly, and converts it into linear decoupled state space equation with the same relative degree by feedback linearization.

Based on mass-spectrometric sequence analysis of tryptic protein fragments, oligonucleotide primers for cloning genomic DNA fragments that encoded the enzyme were designed and used to derive the complete amino acid sequence of this PLD.

The present paper derives the complete contravariant form of the Navier Stokes equations in a time-dependent curvilinear coordinate system from the intrinsic derivative of contravariant vectors in a moving frame.

Taking graphene as a case study, in this work we derive the complete set of selection rules for the honeycomb lattice, showing that some of them have been missed or misinterpreted in the literature.

Then, we derive the complete received symbols as Y k)=sum_{i=1}^{M}{Y}_{i}(k) (10).

With the description of all the impairments at hand, we can finally derive the complete input output relation of the relay.