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

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...

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...

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...

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

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...

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...

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

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...

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...

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...

[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...

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})\cdots (z-\alpha _{n}).} The Mahler measure can be viewed as a kind of height function. Using Jensen's formula, it can be proved that this measure is also...

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...

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...

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...

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...

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})}...

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

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...

scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued function) ∇ f {\displaystyle \nabla...

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

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 = kB/mg = 1.381×10−23 J⋅K−1...

The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ (zeta), is a mathematical function of a complex variable defined...

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...

mathematicians Michael Prähofer and Herbert Spohn. They proved that the height function of a model from the (1+1)-dimensional KPZ universality class - the...