When studying the structure of polynomials however, one often definitely needs a notion with the first meaning. This is for instance the case when considering a monomial basis of a polynomial ring, or a monomial ordering of that basis. An argument in favor of the first meaning is also that ...
We can see this when adding or subtracting monomials with like terms, meaning they have the same variables with identical exponents, and through dividing monomials. When dividing monomials, you need to be careful because if you get an answer with a negative exponent, that answer is not a ...
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We callgthe internal power series of the Puiseux seriesP;Xthe variable order ofP;Uthe variable order ofg; andRthe rays ofP. The rays generate the cone containing the support ofP, meaning the set of exponent vectors ofXthat occur inPwith a nonzero coefficient, as in the paper by Monforte ...
A monomial is a single-termed polynomial, meaning that it is a mathematical expression that is a single term made up of a product of numbers, variables, and/or positive integer powers of variables. A factor of a monomial is a mathematical expression that divides into the monomial evenly to ...
We callgthe internal power series of the Puiseux seriesP;Xthe variable order ofP;Uthe variable order ofg; andRthe rays ofP. The rays generate the cone containing the support ofP, meaning the set of exponent vectors ofXthat occur inPwith a nonzero coefficient, as in the paper by Monforte ...
Local phase is a powerful concept which has been successfully used in many image processing applications. For multidimensional signals the concept of phase is complex and there is no consensus on the precise meaning of phase. It is, however, accepted by all that a measure of phase implicitly ...
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20 D-42097 Wuppertal Germany (e-mail: reineke@math.uni-wuppertal.de)Springer-VerlagMathematische ZeitschriftReineke, M.: Feigin’s map and monomial bases for quantized enveloping algebras. Math. Z. , 237 , 639–667 (2001)Markus;Reineke.Feigin’s map and monomial bases for quantized enveloping ...
What is the meaning of greatest common monomial factor? Is a whole number a monomial? What is the greatest common monomial factor of 6x^2 y^3 z^4 - 4x^3 y^3 z^3 + 10xy^3 z^4? What is a sum of monomials? What are exponents in Mathematics? Can you divide an integer into a ...