an isolated point of a subset S (in a topological space X) if x is an element of S and there exists a neighborhood of x that does not contain any other...

University of Buenos Aires. His name is associated with a type of multiple-element lens for correcting spherical aberration and coma, but not chromatic aberration...

multiplication) and an involution known as conjugation. The product of an element and its conjugate (or sometimes the square root of this product) is called...

composition f ∘ g of permutations f and g, pronounced "f of g", maps any element x of X to f(g(x)). Concretely, let (see permutation for an explanation...

băiatul 1/ care este la mine în clasă, 2/ și care este foarte bun la matematică. 3/ I have told you about the boy 1/ who is in my class, 2/ and who is...

particularly for stadium design. The azulejo is a mainstream, typical element among Portugal's traditional building materials and construction techniques...

influence of Viennese classicism. The major contribution of the African element was the rhythmic diversity and some dances and instruments. Popular music...

combinations (i.e. subsets) of b elements that can be chosen from an n-element set. Therefore ( n b ) {\displaystyle {\tbinom {n}{b}}} is usually pronounced...

groups; these are groups such that the Centralizer of every non-trivial element is Abelian. In a pioneering paper he showed that all CA groups of odd order...

that for every coloring of the n-element subsets of κ with m colors there is a subset of size λ all of whose n-element subsets are the same color. f ′...

time niter and its derivative nitric acid were first used to name the element nitrogen, in 1790. Because of its ready solubility in water, niter is most...

conjecture – for any family of sets closed under sums there exists an element (of the underlying space) belonging to half or more of the sets Give a...

conjugate, z + z ¯ , {\displaystyle z+{\bar {z}},} is a quadratic integer, an element of Z [ φ ] . {\textstyle \mathbb {Z} [\varphi ].} Specifically, e 0 + e...

both the modulus 9 and the remainder 3 are multiples of 3, so is every element in the sequence. Therefore, this progression contains only one prime number...

For perhaps it should be said that the heavens are not made of a fifth element but changeable bodies - albeit less corruptible that the matter here on...

occur in or at the row's element. As mentioned above, the cube has eight vertices, twelve edges, and six faces; each element in a matrix's diagonal is...

elements x and y of X and any two real numbers a and b there exists an element  f  ∈ L with  f (x) = a and  f (y) = b. Then L is dense in C(X, R). The...

The Riemann integral uses the notion of length explicitly. Indeed, the element of calculation for the Riemann integral is the rectangle [a, b] × [c, d]...

historical centre of Verona. While in Veneto Byzantine art was important, an element of innovation was brought to Padua by Giotto, bearer of a new pictorial...

|S|\geq 2} is barycentric or has a barycentric-sum if it contains one element a j {\displaystyle a_{j}} such that ∑ a i ∈ S a i = | S | a j {\displaystyle...

integrable means that there exists an element E ⁡ [ X ] {\displaystyle \operatorname {E} [X]} in T, such that for any element z in the dual space of T: E ⁡ |...

form x ± j x have no inverse. The multiplicative inverse of an invertible element is given by z − 1 = z ∗ ‖ z ‖ 2   . {\displaystyle z^{-1}={\frac {z^{*}}{{\lVert...

dual concept on the dual poset Pd. For instance, a minimal element of P will be a maximal element of Pd: minimality and maximality are dual concepts in order...

if its numbers are subtracted from a constant. In particular, if every element in a normal magic square of order n {\displaystyle n} is subtracted from...

sequence G(m) of a number m is a sequence of natural numbers. The first element in the sequence G(m) is m itself. To get the second, G(m)(2), write m in...

read and write in Japanese. The Japanese language is still an important element for the cultural identity of Japanese descendants in the city of São Paulo...

:=\int _{U}f(x)g(x)\,dx.} A multi-index of size n {\displaystyle n} is an element in N n {\displaystyle \mathbb {N} ^{n}} (given that n {\displaystyle n}...

fourth one; it is thus possible to represent 39 numbers, united to neutral element ( zero or "no seeds" in the table); this forms the basis of 40 symbols...

is my birthday") (although English does introduce a similar subjunctive element in an alternative: "It might be my birthday, but I am working" Avant que...

removing them from the permutation leaves a permutation in which the maximum element is k − 1, with n positions into which the adjacent pair of k values may...