Sentence examples for basis with respect to from inspiring English sources

Standard three-dimensional morphometric algorithms were used to analyze the trabeculae on an individual basis with respect to their volume, surface, and thickness.

The problem is algorithmically solvable by using resultants or by one calculation of Groebner basis with respect to an elimination term order.

We construct a wavelet and a generalised Fourier basis with respect to some fractal measure given by a one-dimensional iterated function system.

The provisions of section 2508 of this title shall apply, on a similar advance of funds or a reimbursement basis, with respect to persons while within the United States for training under authority of this subsection.

Generalized best-matching refers to matching the elements of two or more sets, on a many-to-one or many-to-many basis, with respect to their mutual preferences and capacity requirements/limits.

The term "single-source basis", with respect to an award of a contract, means that the contract is awarded to a source after soliciting an offer or offers from, and negotiating with, only such source (although such source is not the only source in the marketplace capable of meeting the need) because such source is the most advantageous source for purposes of the award.

Jüttler [7] represented the dual basis function with respect to the Bernstein basis.

The corresponding derivative basis functions are used to calculate the derivative of the basis function with respect to the angular frequency (sinusoid) and decay rate (damping function).

The performances of cellulosic MFCs were compared on a common basis and with respect to the properties of the different cellulosic substrate each utilized.

And the inverse of the coefficient matrix is not guaranteed for the evaluation of derivatives of polynomial basis functions with respect to the differential operator of governing equations.

The behavior of the Newton method for the nonlinearity is improved with reduced basis method with respect to standard methods.