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Subsidiarity is a principle of social organization that holds that social and political issues should be dealt with at the most immediate or local level that is consistent with their resolution.
This is a list of notable theorems.Lists of theorems and similar statements include: List of algebras; List of algorithms; List of axioms; List of conjectures
Goldbach's weak conjecture, every odd number greater than 5 can be expressed as the sum of three primes, is a consequence of Goldbach's conjecture. Ivan Vinogradov proved it for large enough n (Vinogradov's theorem) in 1937, [1] and Harald Helfgott extended this to a full proof of Goldbach's weak conjecture in 2013.
This statement, due to Tunnell's theorem (Tunnell 1983), is related to the fact that n is a congruent number if and only if the elliptic curve y 2 = x 3 − n 2 x has a rational point of infinite order (thus, under the Birch and Swinnerton-Dyer conjecture, its L-function has a zero at 1). The interest in this statement is that the condition is ...
Ruffini's rule can be used when one needs the quotient of a polynomial P by a binomial of the form . (When one needs only the remainder, the polynomial remainder theorem provides a simpler method.) A typical example, where one needs the quotient, is the factorization of a polynomial p ( x ) {\displaystyle p(x)} for which one knows a root r :
The theorem implies both the Hermite–Lindemann and Gelfond–Schneider theorems. [8] The theorem deals with a number field K and meromorphic functions f 1 ,..., f N of order at most ρ , at least two of which are algebraically independent, and such that if we differentiate any of these functions then the result is a polynomial in all of the ...
In the normal Euclidean geometry, triangles obey the Pythagorean theorem, which states that the square distance ds 2 between two points in space is the sum of the squares of its perpendicular components = + + where dx, dy and dz represent the infinitesimal differences between the x, y and z coordinates of two points in a Cartesian coordinate ...
A first-tier subsidiary is a subsidiary/child company of the ultimate parent company, [note 1] [4] while a second-tier subsidiary is a subsidiary of a first-tier subsidiary: a "grandchild" of the main parent company. [5] Consequently, a third-tier subsidiary is a subsidiary of a second-tier subsidiary—a "great-grandchild" of the main parent ...