Sentence examples for with a basis of from inspiring English sources

Many calculations become simpler when working with a basis of eigenvectors.

All computations applied the pseudospectral method with a basis of rational orthogonal functions invented by Christov, which are eigenfunctions of the Hilbert transform.

We prove a sharp basis collapse theorem, which shows that for domain size 3 and 4, all non-trivial holographic reductions can be expressed with a basis of size 1 or 2, respectively.

Examples of some foods and dishes enjoyed in the country include kisra, a wide flat bread that accompanies many meals, asida, a porridge made from sorghum that is often served with meat or vegetables, and ful, a dish with a basis of mashed fava beans and spices that may have various other foods added to it.

Let (∥dU x1St∥⩽c/t12, 0 < ⩽ 1) denote a continuous representation U of a Lie group G acting on a Banach space B and S the semigroup generated by the closed Laplacian associated with a basis of the Lie algebra g in the derived representation dU.

But if the house were gifted, the child would receive it with a basis of $20,000.

Companies need to be armed with data as a basis of dependable and influential stories in order to rise above the competition.

It is indeed concerned with reconstructing functions on a basis of certain functional information, which are linear in many cases.

Each patent has been designed and printed using HDR ink-jet technology on Ultra Premium Luster Photo Paper with a basis weight of 180 gsm.

Tissue metabolite content was determined using LCModel (15) with a basis set of 21 metabolites prepared using reference solutions.

Data were analyzed using software packages, SAGE/IDL (GE Healthcare WI/RSII, Boulder, CO) and LCModel (14), with a basis set of 15 metabolites acquired on the same spectrometer.