Sentence examples for both cases a polynomial from inspiring English sources

In both cases, a polynomial consensus protocol is designed that guarantees the consensus.

We achieve a complete characterization of its computational complexity, previously studied only for special cases: a polynomial algorithm based on a new matroid solves the easy cases; the others are strongly NP-hard by direct reduction from SAT.

In the real case a polynomial equation defines a curve in the plane.

The reader is also shown in detail how to proceed from the data in each case to a polynomial as above defining the resistance force.

The general scheme for obtaining the optimal regulator in case of a polynomial system with linear control input and quadratic criterion is announced.

SVMs with a quadratic kernel are a particular case of a polynomial kernel of second degree.

Overall, the processing of a force-volume image corresponding to a grid of size 32×32 pixels requires 22 minutes and 4 hours in the approach and retraction cases, respectively (with a polynomial degree set to r = 1).

The centreline is represented by a 3D cubic B-spline, in our case simplified by a polynomial approximation.

A problem \(X\) is in \ \textbf{coNP}\) just in case there exists a polynomial decidable relation \(R x,y)\) and a polynomial \(p(x)\) such that \(x \in X\) if and only if \(\forall y \leq p(\lvert x\rvert) R x,y)\).

On the basis of these observations, it is not difficult to prove the following: A problem \(X\) is in \ \textbf{NP}\) just in case there exists a polynomial decidable relation \(R x,y)\) and a polynomial \(p(x)\) such that \(x \in X\) if and only if \(\exists y \leq p(\lvert x\rvert) R x,y)\).

A problem \(X\) is in \ \textbf{NP}\) just in case there exists a polynomial decidable relation \(R x,y)\) and a polynomial \(p(x)\) such that \(x \in X\) if and only if \(\exists y \leq p(\lvert x\rvert) R x,y)\).