In mathematics an even integer, that is, a number that is divisible by 2, is called evenly even or doubly even if it is a multiple of 4, and oddly even or singly even if it is not. The former names are traditional ones, derived from ancient Greek mathematics; the latter have become common in recent decades.
These names reflect a basic concept in number theory, the 2-order of an integer: how many times the integer can be divided by 2. Specifically, the 2-order of a nonzero integer n is the maximum integer value k such that n/2k is an integer. This is equivalent to the multiplicity of 2 in the prime factorization.
A singly even number can be divided by 2 only once; it is even but its quotient by 2 is odd.
A doubly even number is an integer that is divisible more than once by 2; it is even and its quotient by 2 is also even.
The separate consideration of oddly and evenly even numbers is useful in many parts of mathematics, especially in number theory, combinatorics, coding theory (see even codes), among others.
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even integer, that is, a number that is divisible by 2, is called evenlyeven or doublyeven if it is a multiple of 4, and oddly even or singlyeven if...
of a singly linked list in C Implementation of a singly linked list in C++ Implementation of a doubly linked list in C Implementation of a doubly linked...
is odd, evenlyeven (also referred to as "doublyeven") if n is a multiple of 4, oddly even (also known as "singlyeven") if n is any other even number...
(since it is not even path connected). A surface (two-dimensional topological manifold) is simply connected if and only if it is connected and its genus (the...
for Poetry in 1937. This volume is divided into 6 parts: 1-Taken Doubly; 2-Taken Singly; 3-Ten Mills; 4-The Outlands; 5-Build Soil; 6-A Missive Missile...
sequence, or doubly infinite sequence. A function from the set Z of all integers into a set, such as for instance the sequence of all even integers ( ...
sign; that is, a doubly charged cation is indicated as 2+ instead of +2. However, the magnitude of the charge is omitted for singly charged molecules/atoms;...
structure or to fabricate a steel structure if a surface is singly ruled, andeven more so if it is doubly ruled. Reid, Esmond (1988). Understanding Buildings:...
physiological pH range (7.35–7.45). At even higher pH, the amino group loses the extra proton, and the prevalent species is the doubly-negative anion −OOC−CH(NH 2)−(CH...
{\displaystyle \mathbb {Z} } ; four of them are doubly generated, among which one is abelian and three are nonabelian and isomorphic to D ∞ {\displaystyle D_{\infty...
phosphoric acid are 2.14, 7.20, and 12.37. At physiological pH's, pyrophosphate exists as a mixture of doublyandsingly protonated forms. When molten,...
_{1}=2\pi } and the other is taken to the limit of ω 2 → i ∞ {\displaystyle \omega _{2}\rightarrow i\infty } so that the functions are only singly-periodic...
(singlyeven-dimensional manifolds: surfaces (2-manifolds), 6-manifolds, 10-manifolds, etc.) with certain additional structure called a framing, and thus...
and 13CD4, among which, 12CH4 is an unsubstituted isotopologue; 13CH4 and 12CH3D are singly substituted isotopologues; 13CH3D and 12CH2D2 are doubly substituted...
a prenasalized stop is transcribed ⟨m͡b⟩, and a doubly articulated stop ⟨ɡ͡b⟩, then a prenasalized doubly articulated stop would be ⟨ŋ͡m͡ɡ͡b⟩ If a diacritic...
field and an address field. The Address field contains the address of its successor. Linked list can be singly, doubly or multiply linked and can either...
available, electrons will occupy different orbitals singlyand with the same spin before any are occupied doubly. If double occupation does occur, the Pauli exclusion...
the constant torque speed range as singly-fed electric machines, which have only one active winding set. A doubly-fed motor allows for a smaller electronic...
maximum was 8,847,360 bytes, with 7 singly-indirect blocks and 1 doubly-indirect block; PWB/UNIX 1.0's variant had 8 singly-indirect blocks, making the maximum...
before 4s in the sequence Ti4+, Ti3+, Ti2+, Ti+, Ti. The superscript 1 for a singly occupied subshell is not compulsory; for example aluminium may be written...
index for singly refractive substances, and a range for doubly refractive substances. The formulation of flint glass using lead, alumina, and thallium...
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