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  2. Fish fillet processor - Wikipedia

    en.wikipedia.org/wiki/Fish_fillet_processor

    A fish fillet processor processes fish into a fillet. Fish processing starts from the time the fish is caught. Popular species processed include cod, hake, haddock, tuna, herring, mackerel, salmon and pollock . Commercial fish processing is a global practice. Processing varies regionally in productivity, type of operation, yield and regulation.

  3. 1 + 2 + 3 + 4 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...

  4. Double factorial - Wikipedia

    en.wikipedia.org/wiki/Double_factorial

    In mathematics, the double factorial of a number n, denoted by n‼, is the product of all the positive integers up to n that have the same parity (odd or even) as n. [ 1] That is, Restated, this says that for even n, the double factorial [ 2] is while for odd n it is For example, 9‼ = 9 × 7 × 5 × 3 × 1 = 945.

  5. Binomial theorem - Wikipedia

    en.wikipedia.org/wiki/Binomial_theorem

    In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, it is possible to expand the polynomial (x + y) n into a sum involving terms of the form ax b y c, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending ...

  6. Mathematical induction - Wikipedia

    en.wikipedia.org/wiki/Mathematical_induction

    Description. The simplest and most common form of mathematical induction infers that a statement involving a natural number n (that is, an integer n ≥ 0 or 1) holds for all values of n. The proof consists of two steps: The base case (or initial case): prove that the statement holds for 0, or 1. The induction step (or inductive step, or step ...

  7. Faulhaber's formula - Wikipedia

    en.wikipedia.org/wiki/Faulhaber's_formula

    Faulhaber's formula concerns expressing the sum of the p -th powers of the first n positive integers as a ( p + 1)th-degree polynomial function of n . The first few examples are well known. For p = 0, we have For p = 1, we have the triangular numbers For p = 2, we have the square pyramidal numbers. The coefficients of Faulhaber's formula in its ...

  8. 1/2 + 1/4 + 1/8 + 1/16 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/...

    1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series ⁠ 1 2 ⁠ + ⁠ 1 4 ⁠ + ⁠ 1 8 ⁠ + ⁠ 1 16 ⁠ + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation ...

  9. Ploidy - Wikipedia

    en.wikipedia.org/wiki/Ploidy

    If a haploid set consists of two sets, it must be of a tetraploid (four sets) species. [ 1] Ploidy ( / ˈplɔɪdi /) is the number of complete sets of chromosomes in a cell, and hence the number of possible alleles for autosomal and pseudoautosomal genes. Sets of chromosomes refer to the number of maternal and paternal chromosome copies ...