Let I=(f1,…,fn) and J=(g1,…,gm) be two ideals generated by regular sequences of monomials in the polynomial ring R=k[x1,x2,…,xu]
Show that
Δp(IJ)=ΔI∪ΔJ,where p(IJ) is the polarization of IJ, ΔI is the simplicial complex corresponding to the squarefree monomial ideal I, and ΔJ is the simplicial complex corresponding to the squarefree monomial ideal I.
The product of monomials is a single term.
2X + 3X + 3Y ???= 5X + 3Y===============yes, addition of these monomials yields that answer
That's the difference of the monomials' squares. If the two numbers are "a" and "b" then (a + b)(a - b) = a^2 - b^2 where ^ means "to the power of".
Adding monomials. Add together like terms. Example 4x + 5x. Add the coefficients. Example 4 + 5 = 9. Keep the base which was x. So the answer to 4x + 5x = 9x
Two monomials would be a Binomial or Polynomial.
The product of monomials is a single term.
sum of the monomials APEX =)
A monomial is a product of positive integer powers of a fixed set of variables. Monomials were invented by Austrian mathematician Bruno Buchberger.
A product of variables and numbers. Ex:) 5xIt can only be a product (multiplication). If you have 5 + x, then that would be a binomial because it has two monomials: 5 and x.A monomial is very similar to a term!
2X + 3X + 3Y ???= 5X + 3Y===============yes, addition of these monomials yields that answer
That's the difference of the monomials' squares. If the two numbers are "a" and "b" then (a + b)(a - b) = a^2 - b^2 where ^ means "to the power of".
Adding monomials. Add together like terms. Example 4x + 5x. Add the coefficients. Example 4 + 5 = 9. Keep the base which was x. So the answer to 4x + 5x = 9x
A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.
Two monomials would be a Binomial or Polynomial.
A number, a variable, or a product of a number and one or more variables. Ex: 3xy,x, and 14 are monomials.
Sure, just tell us what the monomials are.
To factor a monomial, is to write the monomial as the product of two monomials. there are more than one possible answers when factoring For example if you had: 6x4 the answer could be -(2x3)(3x) -(2x2)(3x2) -(6x)(x3) -(x)(6x3) -(6x2)(x2)