Sentence examples for formulated with the aid of from inspiring English sources

Shell motions are described by Flügge's thin-shell equations and the fluid forces are determined by means of linearized potential flow theory and formulated with the aid of generalized force Fourier transform techniques.

Hence, to establish the plausible reasons, the problem is conceptually formulated with the aid of hydrodynamic lubrication theory.

A sixth-order system consisting of three second-order equations is initially formulated with the aid of a normal strain ignored in FSDT.

This is pre-multiplied by an ( M N t × K N r ) component preprocessing matrix F = [ V 1 s, V 2 s, …, V K s ] H + of all the users [4] formulated with the aid of BS cooperation, where V k s H represents the signal space of the decomposed channel matrix H k of the k th user given by H k = Ω 1 k H 1 k, Ω 2 k H 2 k, …, Ω M k H M k, k = 1, 2, …, K (4).

Once a codon engineered gene sequence has been formulated with the aid of the Gene Composer protein-to-DNA algorithm, the gene can either be purchased from a synthetic gene vendor, or be manufactured by PCR in a standard molecular biology lab from the Oligo-sets designed by the Gene Composer Gene Design Module.

It has a plan, formulated with the help of Bill Burton, former head of the pro-Obama super PAC Priorities USA Action.

The search strategy was formulated with the assistance of the librarians at the University of Ottawa.

Accordingly, we re-formulated this material with the aid of the professionals' comments (some examples are given in Table 3).

3 An immigration policy is formulated, with the agreement of the national coalition where possible.

Next, the old medium was replaced with 200 μl of sDMEM previously formulated with the different concentrations of transition metals.

Palestinian-Israeli cooperative measures can be formulated, with the possible participation of international observers.