A height function is a function that quantifies the complexity of mathematical objects. In Diophantine geometry, height functions quantify the size of...
17 KB (1,908 words) - 05:07, 24 June 2024
tree, the height of a vertex is the length of the longest downward path to a leaf from that vertex; In algebraic number theory, a "height function" is a measurement...
8 KB (1,019 words) - 20:56, 9 August 2024
mathematics, the height zeta function of an algebraic variety or more generally a subset of a variety encodes the distribution of points of given height. If S is...
2 KB (347 words) - 06:15, 29 March 2019
Domino tiling (section Height functions)
height function associating an integer to the vertices of the grid. For instance, draw a chessboard, fix a node A 0 {\displaystyle A_{0}} with height...
13 KB (1,515 words) - 18:05, 23 May 2024
Below are two tables which report the average adult human height by country or geographical region. With regard to the first table, original studies and...
160 KB (8,224 words) - 11:53, 6 September 2024
properties of an element Height (ring theory), a measurement in commutative algebra Height (triangle) or altitude Height function, a function that quantifies the...
1 KB (206 words) - 05:51, 22 April 2024
Heights of presidents and presidential candidates of the United States (redirect from List of United States Presidents by height order)
candidates of the United States is useful for evaluating what role, if any, height plays in presidential elections in the United States. Some observers have...
65 KB (3,323 words) - 17:18, 11 September 2024
Glossary of arithmetic and diophantine geometry (redirect from Naive height)
Canonical height The canonical height on an abelian variety is a height function that is a distinguished quadratic form. See Néron–Tate height. Chabauty's...
37 KB (4,753 words) - 14:39, 23 July 2024
This requires the introduction of a height function on the set of rational elliptic curves. To define such a function, recall that a rational elliptic curve...
18 KB (2,800 words) - 04:05, 31 August 2024
example, the function H(t) denoting the height of a growing flower at time t would be considered continuous. In contrast, the function M(t) denoting...
60 KB (9,404 words) - 10:25, 11 September 2024
In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}...
30 KB (4,946 words) - 13:30, 4 September 2024
mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the...
75 KB (11,265 words) - 01:47, 3 September 2024
similar formal properties to the abscissa of convergence of the height zeta function and it is conjectured that they are essentially the same. More precisely...
2 KB (305 words) - 16:42, 27 July 2023
This height function h has the property that h(mP) grows roughly like the square of m. Moreover, only finitely many rational points with height smaller...
54 KB (8,294 words) - 16:40, 8 September 2024
an isosceles triangle of height 1 and base 2 in which case it is referred to as the triangular function. Triangular functions are useful in signal processing...
5 KB (814 words) - 21:48, 17 August 2022
zeta function of a variety Height zeta function of a variety Hurwitz zeta function, a generalization of the Riemann zeta function Igusa zeta function Ihara...
3 KB (377 words) - 14:35, 7 September 2023
specifically for its function and to allow for its self-cleaning ability. The proximal contact areas formed mesially and distally by the height of contour are...
4 KB (594 words) - 22:33, 28 August 2024
Gaussian random field, a central model of random surfaces (random height functions). The discrete version can be defined on any graph, usually a lattice...
10 KB (1,511 words) - 07:11, 17 June 2024
However, in this case the barrier height does not depend on We. The barrier height now depends on the work function of the collector, as well as any additional...
31 KB (3,657 words) - 12:42, 24 May 2024
[citation needed] Height finding radars of the 1960s and 70s were distinguished by their antenna being tall, but narrow. As beam shape is a function of antenna...
4 KB (416 words) - 21:39, 2 August 2024
Automorphic form (redirect from Fuchsian function)
operators on G; and to satisfy a "moderate growth" asymptotic condition a height function. It is the first of these that makes F automorphic, that is, satisfy...
13 KB (1,651 words) - 21:57, 9 March 2024
same basic structure. The second half of the proof needs some type of height function, in terms of which to bound the 'size' of points of A ( K ) {\displaystyle...
5 KB (629 words) - 22:01, 24 February 2024
like a standard derivative. In particular, if a hill is defined as a height function over a plane h ( x , y ) {\displaystyle h(x,y)} , the gradient at a...
21 KB (3,908 words) - 16:06, 11 August 2024
In quantum physics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common...
99 KB (13,547 words) - 12:29, 18 August 2024
Gradient (section Linear approximation to a function)
scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued function) ∇ f {\displaystyle \nabla...
38 KB (5,700 words) - 20:12, 5 September 2024
List of tallest buildings (redirect from List of tallest buildings by height to roof)
intended here as enclosed structures with continuously occupiable floors and a height of at least 350 metres (1,150 ft). Such definition excludes non-building...
92 KB (3,372 words) - 19:00, 7 September 2024
is the height of the function at that point. The rate of increase of the function at x is equal to the value of the function at x. The function solves...
44 KB (5,755 words) - 12:46, 8 July 2024
polynomial of degree two in one or more variables. A quadratic function is the polynomial function defined by a quadratic polynomial. Before the 20th century...
17 KB (2,936 words) - 12:43, 25 May 2024
hence m = 28.964 × 1.660×10−27 = 4.808×10−26 kg. As a function of temperature, the scale height of Earth's atmosphere is therefore H/T = k/mg = (1.38/(4...
14 KB (1,998 words) - 07:02, 23 May 2024
mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value...
94 KB (14,000 words) - 14:35, 6 September 2024