Sentence examples for is thereby defined from inspiring English sources

Dilation is thereby defined as delta_{B}(A) = A oplus B = {z in E | (B^{s})_{z} bigcap A ne emptyset }, (7).

A slenderness parameter is thereby defined based on the elastic local buckling stress of the side wall, idealized as an infinitely long plate under a patch loading transferred from the brace member in combination with a uniform chord pre-load.

Severe cartilage destruction is thereby defined as chondrocyte death and cartilage matrix destruction.

A regulatory pathway from pha-4 through ceh-19 to flp-2 is thereby defined.

CFT is thereby defined as the time necessary to attain a clot firmness of 20 mm.

The unit of atomic mass was thereby defined as 1/16 the mass of an oxygen atom.

The "active" compounds for each of the ChEMBL families were thereby defined and these populated our bioactivity-based filtered families.

The heterogeneity indexes for reaction and mass transfer are thereby defined, which may facilitate TFM-based reactive simulations with structure-dependent corrections.

For a given θ we may now treat (Y_{k}) as a tuning parameter which may be optimized by minimizing the cost function (A_{Omega}(Y_{k};theta)equiv int_{0}^{omega_{c}}domega F_{{Omega }} omegatau Y_{k};theta)). The optimized (Y_{k}) are thereby defined as an implicit function of θ.

Such sequences were thereby defined as Unigenes.

Six gene clusters were thereby defined with different patterns of regulation of gene expression.