monomial
- noun
- /məˈnoʊmiəl/
- Specialized
:
monomio
- To multiply a polynomial by a monomial, you distribute the monomial across each term in the polynomial.
So out of these two monomials, which one has the largest degree or exponent?
- So out of these two monomials, which one has the largest degree or exponent?
Examples
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In most of the analysis below, we will assume that this UV polynomial p(z) is actually a monomial. Formula omitted. Propagator and unitarity.
Academic text (2018) -
So out of these two monomials, which one has the largest degree or exponent?
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And let's consider s * t acting on the monomial X to the north.
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This is just a monomial squared or a term.
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It's an inequality because just looking at this, do a comparison monomial by monomial, right?
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Then each of this monomials, each of these powers will come with the coefficient.
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Again, the reason is that we cannot form a dimensionful ratio having only one coupling in front of the leading term in the UV monomial.
Academic text (2018) -
And these are all monomials in the variables which are XV and Lambda.
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So I group these monomials by the one of XYZ that has the smallest exponent.
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In algebra, a monomial can be a simple variable like x or a number multiplied by a variable.
Antonyms
- Specialized
2
8.1
Having the form of an expression with numbers multiplied by letters raised to whole number powers
How Complex
- Specialized
- Specialized
1
7.9
- Specialized
1
7.6
- Specialized
Surface Forms
Morphology
monomial = mono + nom + ial
The prefix mono- clearly signals 'one', but the remaining classical element is not a transparent modern English base, so the full algebraic meaning is only partly recoverable from the form alone.
Etymology
Monomial comes from mono- meaning 'one' and -nomial from a root meaning 'name' or 'term'. So a monomial is literally 'one term' in algebra, which is why we call a single-term expression like 5x^2 a monomial.