Sentence examples for matrix solution for from inspiring English sources

A generalized inverse matrix solution for linear equation is applied to avoid handling the terminal equality constraints.

Then Φ t) is a fundamental matrix solution for (1.1) and satisfies Φ 0) = I 2. Suppose that α(t), β(t) and γ(t) are ω-periodic functions defined on T (i.e. (1.10) holds), then Φ(t + ω) is also a fundamental matrix solution for (1.1) ( see [18]).

Let Φ t) be a fundamental matrix solution for (1.1) with Φ 0) = I 2, and let λ 1 and λ 2 be the roots (real or complex) of the characteristic equation ( 2.4 ) of Φ.

This is not true in an exact matrix solution for each filament, where an increasingly large matrix must be inverted as the segment size is decreased.

Spray coating of the matrix solution for IMS A DHB solution (40 mg/mL DHB, 20 mM potassium acetate, 70% MetOH, 0.1% TFA) was used as the matrix solution for imaging the PCs.

The matrix solution for all samples was saturated 2- 4-hydroxyphenylazo benzoic acid (Fluka, St. Louis, MO) in 50:50 spectrophotometric-grade methanol and HPLC-grade water.

I present a minor, but important correction to Kleiser and Schumann's influence-matrix solution for numerical simulation of 3D time-dependent incompressible flow between no-slip plane boundaries (L. Kleiser, and U. Schumann, in Proc. 3rd GAMM Conf. Numerical Methods in Fluid Mechanics, edited by E. H. Hirschel, Vieweg, Braunschweig, 1980, p. 165).

The mapping is used to construct local stiffness matrices of quadrilateral subvolumes which are employed in the local/global stiffness matrix solution strategy for the unit cell problem within a homogenization framework.

The matrix solution employed for BSA analysis contained 10 mg/mL 3,5-dimethoxy-4-hydroxycinnamic acid (sinapinic acid) in 30% vol/vol acetonitrile in 0.1% vol/vol aqueous trifluoroacetic acid.

Subsequently, supernatants were mixed with matrix solution (1∶2, v/v; for matrix see Section "matrix preparation"), 0.75 µL matrix/sample mixture was deposited on three positions on the target plate and was dried at room temperature.

For polymerization, the matrix solution was placed at 37°C for 30 minutes.