Sentence examples for minimal basis from inspiring English sources

"We're open on a minimal basis," said Wai Ho, the pharmacist.

Our results highlight the importance of designing contracts with minimal basis risk under compound-risk aversion.

Ab initio results obtained using Clementi's minimal basis set are used as input.

Lambrecht, W. R. & Andersen, O. K. Minimal basis sets in the linear muffin-tin orbital method: Application to the diamond-structure crystals C, Si, and Ge.

Removing the most linear dependent columns from A leads to the formation of a minimal basis set which well spans the phase space of the problem at hand.

TOM selectively monitors and measures the loss rates of a minimal basis set of O(n log n) linearly independent paths, and then applies them to estimate the loss rates of all other paths.

Then we have a direct system S → S ′ → S ′ ′ → ⋯ and S c = l i m → S ( n ) is what is now called a minimal GS basis (a minimal GS basis is not unique, but a reduced GS basis is, see below).

This S c is called the GS completion of S. Using the reduction algorithm (elimination of the leading words of polynomials), we may obtain a minimal GS basis S c or a reduced GS basis.

A set S is called a minimal GS basis in k ⟨ X ⟩ if S is a GS basis in k ⟨ X ⟩ avoiding inclusion compositions; that is, given f, g ∈ S with f ≠ g, we have f ¯ ≠ a g ¯ b for all a, b ∈ X ∗.

If L is 0 -Borel-fixed then a minimal Gröbner Shirshov basis of J is obtained by applying δ to a minimal Gröbner basis of I and adding commutators.

([99]) Given an ideal I of k [ X ], take L = I d ( f ¯, f ∈ I ) and J = γ - 1 ( I ) ⊂ k ⟨ X ⟩. (i) If L is 0 -Borel-fixed then a minimal Gröbner Shirshov basis of J is obtained by applying δ to a minimal Gröbner basis of I and adding commutators.