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Mathematical functions that quantify complexity
A height function is a function that quantifies the complexity of mathematical objects. In Diophantine geometry, height functions quantify the size of
Height_function
Measure of vertical distance
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
Height
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_zeta_function
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
Glossary of arithmetic and diophantine geometry
Glossary_of_arithmetic_and_diophantine_geometry
Topics referred to by the same term
properties of an element Height (ring theory), a measurement in commutative algebra Height (triangle) or altitude Height function, a function that quantifies the
Height_(disambiguation)
Geometric construct
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
Domino_tiling
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
Heights of presidents and presidential candidates of the United States
Heights_of_presidents_and_presidential_candidates_of_the_United_States
Self-balancing binary search tree
the height function of an AVL tree obeys the constraints of a WAVL tree, and we may convert any AVL tree into a WAVL tree by using the height of each
WAVL_tree
Concept in statistical mechanics
Gaussian random field, a central model of random surfaces (random height functions). The discrete version can be defined on any graph, usually a lattice
Gaussian_free_field
Algebraic curve in mathematics
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
Elliptic_curve
Association of one output to each input
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
Function_(mathematics)
Mathematical function
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})}
Gaussian_function
Ground device to measure aircraft altitude
[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
Height_finder
Vector differential operator
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
Del
Number of independent rational basis points with infinite order
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
Rank_of_an_elliptic_curve
Unsolved problem in number theory
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
Manin_conjecture
Line of ultraportable notebook computers by Apple
headphone jack, four-speaker sound system with Spatial Audio, full height function keys, and four finishes (Silver, Space Gray, Starlight, and Midnight)
MacBook_Air
Mathematics
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
Nevanlinna_invariant
The group of K-rational points of an abelian variety is a finitely-generated abelian group
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
Mordell–Weil_theorem
Tent function, often used in signal processing
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
Triangular_function
Generalized function whose value is zero everywhere except at zero
Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real
Dirac_delta_function
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
KPZ_fixed_point
{\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
Morse–Smale_system
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
2-bridge_knot
Type of generalization of periodic functions in Euclidean space
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
Automorphic_form
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
List_of_zeta_functions
Measurement of the shape of a tooth
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
Height_of_curvature
intended here as enclosed structures with continuously occupiable floors and a height of at least 350 metres (1,148 ft). Such definition excludes non-building
List_of_tallest_buildings
Mathematical description of quantum state
In quantum mechanics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common
Wave_function
The study of height and intelligence examines correlations between human height and human intelligence. Some epidemiological research on the subject has
Height_and_intelligence
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
Néron–Tate_height
Distance over which a quantity decreases by a factor of e
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
Scale_height
Multivariate derivative (mathematics)
scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued function) ∇ f {\displaystyle \nabla
Gradient
Mathematical function with no sudden changes
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
Continuous_function
Measure of polynomial height
_{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
Mahler_measure
Type of raster image in computer graphics
displacement or "height" from the "floor" of a surface and sometimes visualized as luma of a grayscale image, with black representing minimum height and white
Heightmap
Arithmetic operation
exponentiation n − 1 {\displaystyle n-1} times. The number n is called the height of the function, while a is called the base, analogous to exponentiation. It would
Tetration
Mathematical Journal (170(2)): 247-277. Moriwaki, Atsushi (2000). "Arithmetic height functions over finitely generated fields". Inventiones (140(1)): 101-142. Mazur
Bogomolov_conjecture
Type of energy
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
Work_function
Multivalued function in mathematics
In mathematics, the Lambert W function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse
Lambert_W_function
Type of altitude above mean sea level
T} are ambient pressure and temperature, respectively, as functions of geopotential height, and R {\displaystyle R} is the specific gas constant. For
Geopotential_height
mathematicians Michael Prähofer and Herbert Spohn. They proved that the height function of a model from the (1+1)-dimensional KPZ universality class - the
Airy_process
Method of mathematical integration
of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the X axis. The
Lebesgue_integral
Enclosed structure
a house or factory. Buildings come in a variety of sizes, shapes, and functions, and have been adapted throughout history for numerous factors, from building
Building
Self-balancing binary search tree data structure
T''[recte T'] */ function joinLeftRB(TL, k, TR): /* symmetric to joinRightRB */ function join(TL, k, TR): if TL.blackHeight>TR.blackHeight: T'=joinRightRB(TL
Red–black_tree
Mathematical function, denoted exp(x) or e^x
point is equal to its height (its y-coordinate) at that point. There are several equivalent definitions of the exponential function, although of very different
Exponential_function
measurements. Some laser hypsometers have a built in height measurement function. Before using this function the user should read the instructions on how it
Tree_height_measurement
On heights of points on algebraic varieties over number fields
absolute value v {\displaystyle v} on F {\displaystyle F} , a local height function λ D , v {\displaystyle \lambda _{D,v}} . Fix a finite set of absolute
Vojta's_conjecture
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
Thin_set_(Serre)
S-shaped curve
A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac
Logistic_function
Conjecture on zeros of the zeta function
zeta function. After a suitable rescaling to account for the increasing density of zeros with height, the conjectured pair correlation function agrees
Riemann_hypothesis
the total floor area, or the total building height in terms of number of floors occupied for the function. However, care should be taken in the case of
History of the world's tallest buildings
History_of_the_world's_tallest_buildings
Uniform restraint of the change in functions
In mathematics, a real function f {\displaystyle f} of real numbers is said to be uniformly continuous if there is a positive real number δ {\displaystyle
Uniform_continuity
Variable that represents an argument to a function
variables from a function in C, one may write: int width; int height; f(x, &width, &height); where x is an input parameter and width and height are output parameters;
Parameter (computer programming)
Parameter_(computer_programming)
Operation in mathematical calculus
_{i};} thus each term of the sum is the area of a rectangle with height equal to the function value at the chosen point of the given sub-interval, and width
Integral
Distance between the base of a tire and the lowest point of the automobile
Ride height or ground clearance is the amount of space between the base of an automobile tire and the lowest point of the automobile, typically the bottom
Ride_height
Fast-growing function
the similar TREE function Hydra game ^ a Friedman actually writes this as 2[2000], which denotes an exponential stack of 2's of height 2000 using his notation
Friedman's_SSCG_function
Proposed lower bound on the Mahler measure for polynomials with integer coefficients
\mathbb {R} } be the canonical height function. The canonical height is the analogue for elliptic curves of the function ( deg P ) − 1 log M ( P (
Lehmer's_conjecture
Self-balancing binary search tree
cases restoring the height for any further ancestor nodes. Join will therefore require at most two rotations. The cost of this function is the difference
AVL_tree
Mathematical abstraction of level sets
mathematical object reflecting the evolution of the level sets of a real-valued function on a manifold. A similar concept was introduced by G.M. Adelson-Velskii
Reeb_graph
French mathematician (1906-1998)
descent argument into two types of structural approach, by means of height functions for sizing rational points, and by means of Galois cohomology, which
André_Weil
Analyzes the topology of a manifold by studying differentiable functions on that manifold
studying differentiable functions on that manifold. According to the basic insights of Marston Morse, a typical differentiable function on a manifold will
Morse_theory
Polynomial function of degree two
In mathematics, a quadratic function of a single variable is a function of the form f ( x ) = a x 2 + b x + c , a ≠ 0 , {\displaystyle f(x)=ax^{2}+bx+c
Quadratic_function
On the connectivity of a group of diffeomorphisms of a manifold
the proof is to think of the height function as a 1-parameter family of smooth functions on M by considering the function π [ 0 , 1 ] ∘ f t {\displaystyle
Pseudoisotopy_theorem
Mathematical proof technique using contradiction
explicit the way of quantifying the size of a solution, by means of a height function – a concept that became foundational. To show that A(Q)/2A(Q) is finite
Proof_by_infinite_descent
Small size of an organism, caused by growth deficiency or genetic mutations
humans, it is defined as an adult height of 147 centimetres (4 ft 10 in) or less, regardless of sex; the average adult height among people with dwarfism is
Dwarfism
Branch of mathematics
about a manifold is deduced from changes in the rank of the Jacobian of a function. For a list of differential topology topics, see the following reference:
Differential_topology
Feature observed in spectroscopy
shapes include Lorentzian, Gaussian and Voigt functions, whose parameters are the line position, maximum height and half-width. Actual line shapes are determined
Spectral_line_shape
Function used in signal processing
processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside
Window_function
Well-quasi-ordering of finite trees
application of the theorem gives the existence of a fast-growing TREE function. TREE(3) is one of the largest simply defined finite numbers, dwarfing
Kruskal's_tree_theorem
Sequence of program instructions invokable by other software
In computer programming, a function (also procedure, method, subroutine, routine, or subprogram) is a callable unit of software logic that has a well-formed
Function (computer programming)
Function_(computer_programming)
Energy held by an object because of its position relative to other objects
Examples of work that can be computed from potential functions are gravity and spring forces. For small height changes, gravitational potential energy can be
Potential_energy
automatic height controller continuously monitors suspension position and adjusts ride height using electronically controlled actuators. Its main functions include:
Automatic_height_controller
Probability distribution
real-valued random variable. The general form of its probability density function is f ( x ) = 1 2 π σ 2 exp ( − ( x − μ ) 2 2 σ 2 ) . {\displaystyle f(x)={\frac
Normal_distribution
Computer modelling of a petroleum reservoir
zones. Using the porosity and permeability models and a saturation height function, initial saturation models are built. If volumetric calculations identify
Reservoir_modeling
Shape descriptions in a geometrical/topological sense
Size functions are shape descriptors, in a geometrical/topological sense. They are functions from the half-plane x < y {\displaystyle x<y} to the natural
Size_function
In mathematics, dimension of a ring
The height is also sometimes called the codimension, rank, or altitude of a prime ideal. In a Noetherian ring, every prime ideal has finite height. Nonetheless
Krull_dimension
Italian mathematician (1530–1590)
rational interval in lowest terms; this can be considered an early height function. Isaac Beeckman and Marin Mersenne both adopted this theory in the
Giambattista_Benedetti
Skyscraper in Dubai, United Arab Emirates
world's tallest structure, with a total height of 829.8 m (2,722 ft, or just over half a mile) and a roof height (excluding the antenna, but including a
Burj_Khalifa
Volume of air in the lungs
relation to height and age ((0.0275* Age [Years]+0.0189*Height [cm]−2.6139) litres for normal-mass individuals and (0.0277*Age [Years]+0.0138*Height [cm]−2
Lung_volumes_and_capacities
Branch of mathematics
distance of 150 miles. Plotting the velocity as a function of time yields a rectangle with a height equal to the velocity and a width equal to the time
Calculus
Characteristic of an optical system
The optical transfer function (OTF) of an optical system such as a camera, microscope, human eye, or projector is a scale-dependent description of their
Optical_transfer_function
Residential skyscraper in the Southbank precinct of Melbourne, Victoria, Australia
building in Australia by roof height, surpassing the Eureka Tower, and the second-tallest building in Australia by full height, surpassed by Q1 Tower. The
Australia_108
Concept in computer programming
equivalent: MyFunctionCall({ xPosition: 20, yPosition: 50, width: 100, height: 5, drawingNow: true }); MyFunctionCall({ width: 100, height: 5, xPosition:
Named_parameter
Mathematical function
The generalized logistic function or curve is an extension of the logistic or sigmoid functions. Originally developed for growth modelling, it allows for
Generalised_logistic_function
Uniform distribution on an interval
{\displaystyle 11,} and the height would be 1 15 . {\displaystyle {\tfrac {1}{15}}.} The moment-generating function of the continuous uniform distribution
Continuous uniform distribution
Continuous_uniform_distribution
Geographic coordinate system
(north/south) ϕ, longitude (east/west) λ, and ellipsoidal height h (also known as geodetic height). The triad is also known as Earth ellipsoidal coordinates
Geodetic_coordinates
Genus of plants
plant's stems. The bark zone, which is the main factor in the unusual height, functions as a water distribution system, transporting water from the underground
Gynerium
Natural number
Adrien-Marie Legendre to express the asymptotic behavior of the prime-counting function. The Weil's conjecture on Tamagawa numbers states that the Tamagawa number
1
Derivative of a function with multiple variables
In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held
Partial_derivative
Structure with height greater than width
serve other functions using the height of the tower. For example, the height of a clock tower improves the visibility of the clock, and the height of a tower
Tower
Integral expressing the amount of overlap of one function as it is shifted over another
a mathematical operation on two functions f {\displaystyle f} and g {\displaystyle g} that produces a third function f ∗ g {\displaystyle f*g} , as the
Convolution
Multifractal function used in terrain modeling and simulation
cutoff frequency index. Returns: z : 2D np.ndarray The height field generated by the WM function. """ A = L * (G / L) ** (D - 2) * (np.log(gamma) / M)
Weierstrass–Mandelbrot function
Weierstrass–Mandelbrot_function
Tool in multivariate statistical analysis
the Matérn covariance, also called the Matérn kernel, is a covariance function used in spatial statistics, geostatistics, machine learning, image analysis
Matérn_covariance_function
Alteration in the nucleotide sequence of a genome
have no effect, alter the product of a gene, or prevent the gene from functioning properly or completely. Mutations can also occur in non-genic regions
Mutation
Position along a vertical direction above or below a given vertical datum
Drying height Dynamic height Ellipsoidal height Geocentric altitude Geopotential Height above mean sea level Height above average terrain Height above
Vertical_position
Polynomial function of degree 4
In algebra, a quartic function is a function of the form f ( x ) = a x 4 + b x 3 + c x 2 + d x + e , {\displaystyle f(x)=ax^{4}+bx^{3}+cx^{2}+dx+e,} where
Quartic_function
Artificial structure for cats
stylish designs. These cat trees combine the functions cats need, such as stepped platforms and height, with more visually appealing design such as exposed
Cat_tree
Concept in statistics and wave theory
the function. In spectroscopy half the width at half maximum (here γ), HWHM, is in common use. For example, a Lorentzian/Cauchy distribution of height 1/πγ
Full_width_at_half_maximum
trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both
List of trigonometric identities
List_of_trigonometric_identities
HEIGHT FUNCTION
HEIGHT FUNCTION
Surname or Lastname
English
English : from Diot, a pet form of the female personal name Dye. Reaney also suggests that this may also be an altered form of Thwaite (see Thwaites).Timothy Dwight (1752–1817), Congregational divine, author, and president of Yale College (1795–1817), was the dominant figure in the established order of CT. He was born in Northampton, MA, a descendant of John Dwight who came from Dedham, England, in 1635 and settled in Dedham, MA, and the grandson of Jonathan Edwards, the great theologian of American Puritanism.
Male
English
Variant spelling of English unisex Lee, LEIGH means "meadow."Â
Surname or Lastname
English
English : from a Middle English nickname or personal name, meaning ‘bright’, ‘fair’, ‘pretty’, from Old English beorht ‘bright’, ‘shining’.English : from a short form of any of several Old English personal names of which beorht was the first element, such as Beorhthelm ‘bright helmet’. Compare Bert.Americanized form of German Brecht.Americanized spelling of German Breit.
Surname or Lastname
English (Midlands)
English (Midlands) : apparently a habitational name from South Heighton in East Sussex, named from Old English hēah ‘high’ + tūn ‘farmstead’, ‘settlement’. However, the high concentration of the modern name in the Midland region suggests that in many cases it is likely to be a variant of Hayton, specifically from the places so named in Nottinghamshire and East Yorkshire.
Male
English
English occupational surname transferred to forename use, derived from Old English wryhta/wyrhta, WRIGHT means "craftsman."
Surname or Lastname
English
English : topographic name for someone who lived at the top of a hill or on a piece of raised ground, from Middle English heyt ‘summit’, ‘height’.
Surname or Lastname
English (now chiefly Yorkshire)
English (now chiefly Yorkshire) : nickname from Middle English speght ‘woodpecker’, probably from an unrecorded Old English word akin to specan ‘to speak, talk, chatter’. Compare Speak.
Girl/Female
American, Australian
Form of Leigh or Leah
Male
English
English surname transferred to forename use, from the feminine personal name Diot, a pet form of Dionysia, DWIGHT means "follower of Dionysos."Â
Surname or Lastname
English, Scottish, and northern Irish
English, Scottish, and northern Irish : occupational name for a maker of machinery, mostly in wood, of any of a wide range of kinds, from Old English wyrhta, wryhta ‘craftsman’ (a derivative of wyrcan ‘to work or make’). The term is found in various combinations (for example, Cartwright and Wainwright), but when used in isolation it generally referred to a builder of windmills or watermills.Common New England Americanized form of French Le Droit, a nickname for an upright person, a man of probity, from Old French droit ‘right’, in which there has been confusion between the homophones right and wright.
Surname or Lastname
English
English : nickname from Middle English sleght, sleight, slyght ‘cunning’, ‘artfulness’.English : topographic name from Middle English sleyte ‘level field’ (Old Norse slétta) or from Middle English sleyte ‘sheep pasture’.
Female
English
English name derived from the vocabulary word, from Latin delectare, DELIGHT means "to allure, delight."Â
Girl/Female
English French
Gives pleasure.
Boy/Male
English American Anglo Saxon
Craftsman.
Surname or Lastname
English
English : variant spelling of Waite.
Surname or Lastname
English
English : variant of Wight.
Surname or Lastname
English
English : variant spelling of Hight.
Surname or Lastname
English
English : unexplained.
Surname or Lastname
English
English : status name from Middle English knyghte ‘knight’, Old English cniht ‘boy’, ‘youth’, ‘serving lad’. This word was used as a personal name before the Norman Conquest, and the surname may in part reflect a survival of this. It is also possible that in a few cases it represents a survival of the Old English sense into Middle English, as an occupational name for a domestic servant. In most cases, however, it clearly comes from the more exalted sense that the word achieved in the Middle Ages. In the feudal system introduced by the Normans the word was applied at first to a tenant bound to serve his lord as a mounted soldier. Hence it came to denote a man of some substance, since maintaining horses and armor was an expensive business. As feudal obligations became increasingly converted to monetary payments, the term lost its precise significance and came to denote an honorable estate conferred by the king on men of noble birth who had served him well. Knights in this last sense normally belonged to ancient noble families with distinguished family names of their own, so that the surname is more likely to have been applied to a servant in a knightly house or to someone who had played the part of a knight in a pageant or won the title in some contest of skill.Irish : part translation of Gaelic Mac an Ridire ‘son of the rider or knight’. See also McKnight.
Surname or Lastname
English
English : topographic name for someone who lived at the top of a hill (see Hight).
HEIGHT FUNCTION
HEIGHT FUNCTION
Boy/Male
English
Deer river.
Girl/Female
Tamil
Dayamani | தயாமணீ Â
Kindness
Boy/Male
Arabic
Fortunate; Prosperous
Girl/Female
Teutonic
Oath.
Girl/Female
English American
Day's eye. A flower name.
Girl/Female
Hindu
Surname or Lastname
English
English : unexplained.
Girl/Female
Norse
Lovely goddess.
Boy/Male
Hindu, Indian, Kannada, Modern, Tamil, Telugu
Satisfaction; Happiness; Joy; Calm; Cheerful
Female
Swiss
, inestimable.
HEIGHT FUNCTION
HEIGHT FUNCTION
HEIGHT FUNCTION
HEIGHT FUNCTION
HEIGHT FUNCTION
n.
A symbol representing eighty units, or ten eight times repeated, as 80 or lxxx.
n.
Variant of Height.
n.
That which is elevated; an eminence; a hill or mountain; as, Alpine heights.
n.
The quotient of a unit divided by eight; one of eight equal parts; an eighth part.
a.
Seven and one; as, eight years.
v. t.
Hence, pressure; burden; as, the weight of care or business.
superl
Having light; not dark or obscure; bright; clear; as, the apartment is light.
v. t.
A definite mass of iron, lead, brass, or other metal, to be used for ascertaining the weight of other bodies; as, an ounce weight.
imp.
of Hight
v. t.
A ponderous mass; something heavy; as, a clock weight; a paper weight.
v. t.
To assign a weight to; to express by a number the probable accuracy of, as an observation. See Weight of observations, under Weight.
superl.
Having weight; heavy; ponderous; as, a weighty body.
n.
The sum of eight times ten; eighty units or objects.
n.
Utmost degree in extent; extreme limit of energy or condition; as, the height of a fever, of passion, of madness, of folly; the height of a tempest.
superl.
Not of the legal, standard, or usual weight; clipped; diminished; as, light coin.
n.
A variant of Height.
v. t.
A scale, or graduated standard, of heaviness; a mode of estimating weight; as, avoirdupois weight; troy weight; apothecaries' weight.
superl.
Slight; not important; as, a light error.
v. t.
To load with a weight or weights; to load down; to make heavy; to attach weights to; as, to weight a horse or a jockey at a race; to weight a whip handle.
p. p.
of Hight