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polynomial

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.

2419THE Theory Of Binary Forms A binary form of order n is a homogeneous polynomial of the nth degree in two variables.

2020Discriminants.-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.

1522We call a free associative algebra A over R a polynomial ring over R.

01associative algebra A over R a polynomial ring over R.

01The enthalpy values were obtained by integrating the specific heat capacity polynomial for each compound.

01characteristic polynomial.

01P0, P1, P2, ..., Pn are the polynomial coefficients.

01enthalpy data were obtained by integrating the specific heat capacity polynomial for each compound.

01factorize a polynomial.

01heat capacity polynomial for each compound.

01Invariant 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.

01irreducible polynomial over the field S.

01Defines knots invariants: group of a knots invariants: group of a knot, Alexander polynomial, Jones polynomial.

01The enthalpy values were obtained by integrating the specific heat polynomial for each compound.

01The defining polynomial is the minimal polynomial of the primitive element.

01And i can be a univariate polynomial over F, then the result is a polynomial in the same variable.

01It can be an integer or an irreducible polynomial over the field S.

01polynomial interpolation is shown to give equivalent results.

01We examine the properties of the polynomial kernel in relation to a polynomial classifier.

01polynomial invariants of finite groups which come from a linear group action.

01polynomial approximation on compact manifolds.

01polynomial regression, the quadratic component of the ordinate scale was significant and positive.

01polynomial equation obeyed by its own eigenvalues.

01Experimental results drawn from the literature for each pure compound were fitted with a four-term polynomial equation in reduced temperature.

01The transformation process adopted will be that of a rubber sheeting transformation involving the fitting of piecewise polynomial surfaces to the link data.

01The generator polynomial governs all the characteristics of the generator.

01polynomial of degree n has at most n roots in F.

01polynomial with coefficients of P in the reverse order.

01quartic polynomial.

01quotient field of a polynomial ring over an UFD.

01roots of a polynomial of degree d in n variables.

01When 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.

01Discriminants.-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.

01THE Theory Of Binary Forms A binary form of order n is a homogeneous polynomial of the nth degree in two variables.

01An 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.

01This is the case for all objects that involve the solution of a cubic or quartic polynomial.

01A rational function is an element of the quotient field of a polynomial ring over an UFD.

01The program is designed so as to reconstruct the polynomial in two variables represented by this equation.

01Justification: lemma bounding the number of roots of a polynomial of degree d in n variables.

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