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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

    In mathematics, the composition operator takes two functions, and , and returns a new function ():= () = (()).Thus, the function g is applied after applying f to x.. Reverse composition, sometimes denoted , applies the operation in the opposite order, applying first and second.

  4. Highly composite number - Wikipedia

    en.wikipedia.org/wiki/Highly_composite_number

    Highly composite numbers greater than 6 are also abundant numbers. One need only look at the three largest proper divisors of a particular highly composite number to ascertain this fact. It is false that all highly composite numbers are also Harshad numbers in base 10. The first highly composite number that is not a Harshad number is ...

  5. Composite field (mathematics) - Wikipedia

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

    A composite field or compositum of fields is an object of study in field theory. Let K be a field , and let E 1 {\displaystyle E_{1}} , E 2 {\displaystyle E_{2}} be subfields of K . Then the (internal) composite [ 1 ] of E 1 {\displaystyle E_{1}} and E 2 {\displaystyle E_{2}} is the field defined as the intersection of all subfields of K ...

  6. Composition (combinatorics) - Wikipedia

    en.wikipedia.org/wiki/Composition_(combinatorics)

    In mathematics, a composition of an integer n is a way of writing n as the sum of a sequence of (strictly) positive integers. Two sequences that differ in the order of their terms define different compositions of their sum, while they are considered to define the same integer partition of that number. Every integer has finitely many distinct ...

  7. Polynomial decomposition - Wikipedia

    en.wikipedia.org/wiki/Polynomial_decomposition

    In mathematics, a polynomial decomposition expresses a polynomial f as the functional composition of polynomials g and h, where g and h have degree greater than 1; it is an algebraic functional decomposition. Algorithms are known for decomposing univariate polynomials in polynomial time.

  8. 6 - Wikipedia

    en.wikipedia.org/wiki/6

    6 is the 2nd superior highly composite number, [5] the 2nd colossally abundant number, [6] the 3rd triangular number, [7] the 4th highly composite number, [8] a pronic number, [9] a congruent number, [10] a harmonic divisor number, [11] and a semiprime. [12] 6 is also the first Granville number, or -perfect number.

  9. 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.