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  2. Composite number - Wikipedia

    en.wikipedia.org/wiki/Composite_number

    A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly it is a positive integer that has at least one divisor other than 1 and itself. [ 1 ] [ 2 ] Every positive integer is composite, prime , or the unit 1, so the composite numbers are exactly the numbers that are not prime and not ...

  3. Function composition - Wikipedia

    en.wikipedia.org/wiki/Function_composition

    If an airplane's altitude at time t is a(t), and the air pressure at altitude x is p(x), then (p ∘ a)(t) is the pressure around the plane at time t. Function defined on finite sets which change the order of their elements such as permutations can be composed on the same set, this being composition of permutations.

  4. Composition of relations - Wikipedia

    en.wikipedia.org/wiki/Composition_of_relations

    In the mathematics of binary relations, the composition of relations is the forming of a new binary relation R ; S from two given binary relations R and S.In the calculus of relations, the composition of relations is called relative multiplication, [1] and its result is called a relative product.

  5. Highly composite number - Wikipedia

    en.wikipedia.org/wiki/Highly_composite_number

    A highly composite number is a positive integer that has more divisors than all smaller positive integers. If d(n) denotes the number of divisors of a positive ...

  6. Prime number - Wikipedia

    en.wikipedia.org/wiki/Prime_number

    For example, among the numbers 1 through 6, the numbers 2, 3, and 5 are the prime numbers, [6] as there are no other numbers that divide them evenly (without a remainder). 1 is not prime, as it is specifically excluded in the definition. 4 = 2 × 2 and 6 = 2 × 3 are both composite.

  7. List of mathematical abbreviations - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical...

    def – define or definition. deg – degree of a polynomial, or other recursively-defined objects such as well-formed formulas. (Also written as ∂.) del – del, a differential operator. (Also written as.) det – determinant of a matrix or linear transformation. DFT – discrete Fourier transform.

  8. Glossary of mathematical jargon - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    Rigor is a cornerstone quality of mathematics, and can play an important role in preventing mathematics from degenerating into fallacies. well-behaved An object is well-behaved (in contrast with being Pathological ) if it satisfies certain prevailing regularity properties, or if it conforms to mathematical intuition (even though intuition can ...

  9. Composite field (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Composite_field_(mathematics)

    When and are not regarded as subfields of a common field then the (external) composite is defined using the tensor product of fields. [7] Note that some care has to be taken for the choice of the common subfield over which this tensor product is performed, otherwise the tensor product might come out to be only an algebra which is not a field.