Sentence examples for finite basis from inspiring English sources

Rybakov [1997] proved that the collection of all admissible rules of IPC is decidable but has no finite basis.

The continuous wavelet transform (CWT) can decompose a signal into a set of finite basis functions.

To make the problem tractable, a finite basis has to be defined.

We use the optimized trigonometric finite basis method to find energy eigenvalues and eigenfunctions of the time-independent Schrödinger equation with high accuracy.

Equations of motion have been solved in a finite basis set numerically exactly for a pulsed field and by the Floquet technique for the periodic fields.

To obtain this Hamiltonian one performs the Born-Oppenheimer approximation and chooses a finite basis of molecular orbitals to expand the single-body and two-body terms.

Since the linear finite element basis functions form a nodal basis, the right hand side in the weak formulation of (2.1) for a piecewise linear basis function e j becomes 〈 q γ, e j 〉 = ∑ i = 1 N (T ) q i 〈 δ (x − x i ), e j 〉 = q j, i.e., the mass matrix is the identity.

Cain et al. [69] use the Schensted Knuth normal form (the set of (semistandard) Young tableaux) to prove that the multiplication table of column words, u v = u ′ v ′, forms a finite GS basis of the finitely generated plactic monoid.

In the online stage, we can obtain the multiscale finite element basis very efficiently on a coarse grid by using the pre-computed multiscale basis.

Fig. 9 A piecewise-linear finite element basis function.

Monk proved that, unlike the calculus of classes, there is no finite equational basis for the calculus of binary relations (see Monk 1964).