the positive integers
61Aliquot — In mathematics, an aliquot part (or simply aliquot) of an integer is any of its integer proper divisors. For instance, 2 is an aliquot of 12. The sum of all the aliquots of an integer n is the value s( n ) = σ( n ) n , where σ( n ) is the sum of… …
62Order theory — For a topical guide to this subject, see Outline of order theory. Order theory is a branch of mathematics which investigates our intuitive notion of order using binary relations. It provides a formal framework for describing statements such as… …
63K (programming language) — Infobox programming language name = K logo = paradigm = array, functional year = 1993 designer = Arthur Whitney developer = Kx Systems latest release version = latest release date = typing = dynamic, strong implementations = dialects = influenced …
64Sieve of Sundaram — In mathematics, the sieve of Sundaram is a simple deterministic algorithm for finding all prime numbers up to a specified integer. It was discovered by an Indian student S. P. Sundaram from Sathyamangalam in 1934. [cite journal |author=V.… …
65Dedekind psi function — In number theory, the Dedekind psi function is the multiplicative function on the positive integers defined by where the product is taken over all primes p dividing n (by convention, ψ(1) is the empty product and so has value 1). The function was …
66Euclid — /yooh klid/, n. 1. fl. c300 B.C., Greek geometrician and educator at Alexandria. 2. a city in NE Ohio, near Cleveland. 59,999. * * * flourished с 300 BC, Alexandria, Egypt Greek mathematician of antiquity, known primarily for his highly… …
67sequence — /see kweuhns/, n., v., sequenced, sequencing. n. 1. the following of one thing after another; succession. 2. order of succession: a list of books in alphabetical sequence. 3. a continuous or connected series: a sonnet sequence. 4. something that… …
68Dirichlet convolution — In mathematics, the Dirichlet convolution is a binary operation defined for arithmetic functions; it is important in number theory. It was developed by Johann Peter Gustav Lejeune Dirichlet, a German mathematician. Contents 1 Definition 2… …
69Unit function — In number theory, the unit function is a completely multiplicative function on the positive integers defined as::varepsilon(n) = egin{cases} 1, mbox{if }n=1 0, mbox{if }n>1 end{cases} It is called the unit function because it is the identity… …
70Delta-functor — In homological algebra, a δ functor between two abelian categories A and B is a collection of functors from A to B together with a collection of morphisms that satisfy properties generalising those of derived functors. A universal δ functor is a… …
