Questions tagged [monomial-function]

This tag is for questions regarding to "monomial function", a mathematical expression which is made up of only one term.

To know about monomial function, first we have enough knowledge about what is monomial ?

A monomial is a number, a variable or a product of a number and a variable where all exponents are whole numbers. That means that $$42,~~5x,~~14x^{12},~~2pq$$ all are examples of monomials whereas $$4+y,~~~\frac{5}{y},~~~14^x,~~~2pq^{−2}$$ are not since these numbers don't fulfill all criteria.

  • The degree of the monomial is the sum of the exponents of all included variables. Constants have the monomial degree of $~0~$.
  • Monomial cannot contain any addition or subtraction signs or a negative exponent.
  • Two rules about monomials are:

    $(i)~~$A monomial multiplied by a monomial is also a monomial.

    $(ii)~~$A monomial multiplied by a constant is also a monomial.

Notes: A polynomial as oppose to the monomial is a sum of monomials where each monomial is called a term.

For example, $$4x^{5}+2x^{2}-14x+12$$

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k-CNF problem reduction to learning- monomials

I'm studying computational learning and trying to wrap my head around a statement I stumble upon A k-CNF function is a function f : {0, 1} n → {0, 1} of the form: f(x1, . . . , xn) = C1 ∧ C2 ∧ . . . ∧ Ct where each clause Ci is of the form…