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...

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...

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

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...

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...

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...

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...

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})}...

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...

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...

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...

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...

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...

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...

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

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...

[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...

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...

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...

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...

In quantum physics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common...

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

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...

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...

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...

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...

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...