A height function is a function that quantifies the complexity of mathematical objects. In Diophantine geometry, height functions quantify the size of...

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...

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...

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...

properties of an element Height (ring theory), a measurement in commutative algebra Height (triangle) or altitude Height function, a function that quantifies the...

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...

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...

of rational points on an algebraic variety relative to a suitable height function. It was proposed by Yuri I. Manin and his collaborators in 1989 when...

Gaussian random field, a central model of random surfaces (random height functions). The discrete version can be defined on any graph, usually a lattice...

[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...

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...

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...

common, that they have a fluctuating height function or some analogue function, that can be thought of as a function, that models the growth of the model...

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...

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...

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...

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...

{\displaystyle T_{w}(W_{s}(x_{i}))+T_{w}(W_{u}(x_{j}))=T_{w}(M)} . Any Morse function f on a compact Riemannian manifold M defines a gradient vector field. If...

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...

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...

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...

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...

on the large sieve method, extends this result, counting points by height function and showing, in a strong sense, that a thin set contains a low proportion...

from humans: mice are too close and have not developed many different functions, while birds are genetically too remote. The dairy industry could also...

2-bridge knot is a knot which can be regular isotoped so that the natural height function given by the z-coordinate has only two maxima and two minima as critical...

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})}...

In number theory, the Néron–Tate height (or canonical height) is a quadratic form on the Mordell–Weil group of rational points of an abelian variety defined...

headphone jack, four-speaker sound system with Spatial Audio, full height function keys, and four finishes (Silver, Space Gray, Starlight, and Midnight)...

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...

28.964 Da × 1.660×10−27 kg/Da = 4.808×10−26 kg. As a function of temperature, the scale height of Earth's atmosphere is therefore H/T = k/mg = 1.381×10−23 J⋅K−1...