polynomial polynomial

polynomial Sentence Examples

• An expression denoting that two or more monomials are to be added or subtracted is a multinomial or polynomial, each of the monomials being a term of it.

• THE Theory Of Binary Forms A binary form of order n is a homogeneous polynomial of the nth degree in two variables.

• Discriminants.-The discriminant of a homogeneous polynomial in k variables is the resultant of the k polynomials formed by differentiations in regard to each of the variables.

• We call a free associative algebra A over R a polynomial ring over R.

• associative algebra A over R a polynomial ring over R.

• The enthalpy values were obtained by integrating the specific heat capacity polynomial for each compound.

• characteristic polynomial.

• P0, P1, P2, ..., Pn are the polynomial coefficients.

• enthalpy data were obtained by integrating the specific heat capacity polynomial for each compound.

• factorize a polynomial.

• heat capacity polynomial for each compound.

• Invariant Theory of Finite Groups This introductory lecture will be concerned with polynomial invariant Theory of Finite Groups This introductory lecture will be concerned with polynomial invariants of finite groups which come from a linear group action.

• irreducible polynomial over the field S.

• Defines knots invariants: group of a knots invariants: group of a knot, Alexander polynomial, Jones polynomial.

• The enthalpy values were obtained by integrating the specific heat polynomial for each compound.

• The defining polynomial is the minimal polynomial of the primitive element.

• And i can be a univariate polynomial over F, then the result is a polynomial in the same variable.

• It can be an integer or an irreducible polynomial over the field S.

• polynomial interpolation is shown to give equivalent results.

• We examine the properties of the polynomial kernel in relation to a polynomial classifier.

• polynomial invariants of finite groups which come from a linear group action.

• polynomial approximation on compact manifolds.

• polynomial regression, the quadratic component of the ordinate scale was significant and positive.

• polynomial equation obeyed by its own eigenvalues.

• Experimental results drawn from the literature for each pure compound were fitted with a four-term polynomial equation in reduced temperature.

• The transformation process adopted will be that of a rubber sheeting transformation involving the fitting of piecewise polynomial surfaces to the link data.

• The generator polynomial governs all the characteristics of the generator.

• polynomial of degree n has at most n roots in F.

• polynomial with coefficients of P in the reverse order.

• quartic polynomial.

• quotient field of a polynomial ring over an UFD.

• roots of a polynomial of degree d in n variables.

• When a homogeneous polynomial is transformed by general linear substitutions as hereafter explained, and is then expressed in the original form with new coefficients affecting the new variables, certain functions of the new coefficients and variables are numerical multiples of the same functions of the original coefficients and variables.

• Discriminants.-The discriminant of a homogeneous polynomial in k variables is the resultant of the k polynomials formed by differentiations in regard to each of the variables.

• THE Theory Of Binary Forms A binary form of order n is a homogeneous polynomial of the nth degree in two variables.

• An expression denoting that two or more monomials are to be added or subtracted is a multinomial or polynomial, each of the monomials being a term of it.

• This is the case for all objects that involve the solution of a cubic or quartic polynomial.

• A rational function is an element of the quotient field of a polynomial ring over an UFD.

• The program is designed so as to reconstruct the polynomial in two variables represented by this equation.

• Justification: lemma bounding the number of roots of a polynomial of degree d in n variables.