polynomial Examples

Examples of polynomial in a Sentence

Examples of polynomial
1. The zeroes of a polynomial are its roots by the fundamental theorem of algebra. ‎
2. The zeroth order polynomial approximation is constant.
3. With angelic non-determinism, any problem in NP would be solvable in polynomial time.
4. The characteristic polynomial of is .
5. The professor of complexity theory says that the problem can be solved in polynomial time.
6. Ring R is an integral domain if and only if the polynomial ring is an integral domain.
7. An example of a non-symmetric polynomial is : if we interchange and , this polynomial changes to .
8. Evaluate this polynomial.
Examples of polynomials
1. Boolean logic can be shown to be "embedded" in integer arithmetic (modulo 2) by assigning polynomials to logical connectives, like so:
2. A Kleene-type ternary logic can be shown to exist "embedded" in integer arithmetic modulo 3 by assigning polynomials to the logical connectives, like so:
3. The vectors in are the single-variable polynomials with rational coefficients: one is .
4. We obtain analogous partial results for the case of nonmonic or reducible polynomials by studying their GL2(K[x])-orbit and by establishing some combinatorial constraints on their Newton polytope.
5. Motivated by questions of Mulmuley and Stanley we investigate quasi-polynomials arising in formulas for plethysm.
6. Generalized complete Bell polynomials are used in order to compute joint moments and joint cumulants of multivariate photocounters.