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Complex numbers with non-negative imaginary part
the upper half-plane, H , {\displaystyle {\mathcal {H}},} is the set of points ( x , y ) {\displaystyle (x,y)} in the Cartesian plane with
Upper_half-plane
Algebraic variety
corresponding algebraic curve, constructed as a quotient of the complex upper half-plane H by the action of a congruence subgroup Γ of the modular group of
Modular_curve
In mathematics, the Drinfeld upper half plane is a rigid analytic space analogous to the usual upper half plane for function fields, introduced by Drinfeld (1976)
Drinfeld_upper_half_plane
Upper-half plane model of hyperbolic non-Euclidean geometry
whose y {\displaystyle y} coordinate is greater than zero, the upper half-plane, and a metric tensor (definition of distance) called the Poincaré metric
Poincaré_half-plane_model
Mathematical concept
extension of f into the upper half-plane. In analogy to the situation for the disk, when u is holomorphic in the upper half-plane, then u is an element
Poisson_kernel
Set of points at distance less than one from a given point
open upper half-plane. So considered as a Riemann surface, the open unit disk is isomorphic ("biholomorphic", or "conformally equivalent") to the upper half-plane
Unit_disk
holomorphic on the closed upper half-plane {z ∈ C | Im(z) ≥ 0} such that, for some α > 0, |zα f(z)| is bounded on the closed upper half-plane. Then f ( z ) = 1
Schwarz_integral_formula
Discrete subgroup of the real projective special linear group of dimension 2
isometries of the hyperbolic plane, or conformal transformations of the unit disc, or conformal transformations of the upper half plane, so a Fuchsian group can
Fuchsian_group
Space of complex matrices with positive definite imaginary part
recovers the Poincaré upper half-plane. The space H g {\displaystyle {\mathcal {H}}_{g}} is sometimes called the Siegel upper half-plane. The space H g {\displaystyle
Siegel_upper_half-space
Connects non-singular algebraic curves with compact Riemann surfaces
surface in question can be taken to be the quotient H/Γ (where H is the upper half-plane and Γ is a subgroup of finite index in the modular group) compactified
Belyi's_theorem
Analytic function on the upper half-plane with a certain behavior under the modular group
precisely, a modular form is a holomorphic function on the complex upper half-plane that roughly satisfies a functional equation with respect to the group
Modular_form
Conformal mapping in complex analysis
analysis, a Schwarz–Christoffel mapping is a conformal map of the upper half-plane or the complex unit disk onto the interior of a simple polygon. Such
Schwarz–Christoffel_mapping
Vector field on a pseudo-Riemannian manifold that preserves the metric tensor
rotates the circle. A toy example for a Killing vector field is on the upper half-plane M = R y > 0 2 {\displaystyle M=\mathbb {R} _{y>0}^{2}} equipped with
Killing_vector_field
Modular function in mathematics
{\displaystyle \operatorname {SL} (2,\mathbb {Z} )} defined on the upper half-plane of complex numbers. It is the unique such function that is holomorphic
J-invariant
\partial D} to D {\displaystyle D} . Let K ⊂ H be a subset of the upper half-plane such that D:= H\K is connected and simply connected, and let z ∈ D
Conformal_radius
Irreducible fraction
Look up one half in Wiktionary, the free dictionary. One half is the multiplicative inverse of 2. It is an irreducible fraction with a numerator of 1
One_half
Bisection of Euclidean space by a hyperplane
half-space is either of the two parts into which a plane divides the three-dimensional Euclidean space. If the space is two-dimensional, then a half-space
Half-space_(geometry)
Orientation-preserving mapping class group of the torus
{\displaystyle -A} are identified. The modular group acts on the upper-half of the complex plane by linear fractional transformations. The name "modular group"
Modular_group
Concept within complex analysis
{\displaystyle H^{p}} are spaces of holomorphic functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz (Riesz 1923), who named them
Hardy_space
Mathematical function
is a modular form of weight 1/2 and is a function defined on the upper half-plane of complex numbers, where the imaginary part is positive. It also occurs
Dedekind_eta_function
Concept in probability theory
(t)+g_{t}(z)}{\zeta (t)-g_{t}(z)}}.} When D {\displaystyle D} is the upper half plane the Loewner equation differs from this by changes of variable and is
Schramm–Loewner_evolution
Metric tensor describing constant negative (hyperbolic) curvature
hyperbolic geometry. One is the Poincaré half-plane model, defining a model of hyperbolic space on the upper half-plane. The Poincaré disk model defines a model
Poincaré_metric
Integral transform and linear operator
with the Fourier transform below). For an analytic function in the upper half-plane, the Hilbert transform describes the relationship between the real
Hilbert_transform
Diffeomorphism that has a hyperbolic structure on the tangent bundle
that is, as the quotients of the upper half-plane and a Fuchsian group. For the following, let H be the upper half-plane; let Γ be a Fuchsian group; let
Anosov_diffeomorphism
Type of mathematical relation
and imaginary parts of any complex function that is analytic in the upper half-plane. The relations are often used to compute the real part from the imaginary
Kramers–Kronig_relations
Algebraic stack in mathematics
τ ∈ h {\displaystyle \tau \in {\mathfrak {h}}} , an element of the upper half-plane, since the lattice Λ {\displaystyle \Lambda } could be multiplied by
Moduli stack of elliptic curves
Moduli_stack_of_elliptic_curves
Theorem in complex analysis
C_{R}=\{Re^{i\theta }\mid \theta \in [0,\pi ]\}} of positive radius R lying in the upper half-plane, centered at the origin. If the function f is of the form f ( z ) =
Jordan's_lemma
Group of real 2×2 matrices with unit determinant
representation theory, and physics. SL(2, R) acts on the complex upper half-plane by fractional linear transformations. The group action factors through
SL2(R)
Class of mathematical functions
common to use 1 {\displaystyle 1} and τ {\displaystyle \tau } in the upper half-plane H := { z ∈ C : Im ( z ) > 0 } {\displaystyle \mathbb {H} :=\{z\in
Weierstrass_elliptic_function
Spherical triangle that can be used to tile a sphere
angles is given in. In this section tessellations of the hyperbolic upper half plane by Schwarz triangles will be discussed using elementary methods. For
Schwarz_triangle
Type of non-Euclidean geometry
Euclidean plane may be taken to be a plane with the Cartesian coordinate system and the x-axis is taken as line B and the half plane is the upper half (y >
Hyperbolic_geometry
Non-orientable surface with one edge
curvature. One way to see this is to begin with the upper half plane (Poincaré) model of the hyperbolic plane, a geometry of constant curvature whose lines
Möbius_strip
Probability distribution
which is the fundamental solution for the Laplace equation in the upper half-plane. It is one of the few stable distributions with a probability density
Cauchy_distribution
Complex analysis function
open upper half-plane H {\displaystyle \,{\mathcal {H}}\,} and has a non-negative imaginary part. A Nevanlinna function maps the upper half-plane to itself
Nevanlinna_function
{\displaystyle (x,y)} in the plane such that y ≥ 0 {\displaystyle y\geq 0} . The set X {\displaystyle X} can be termed the closed upper half plane. We consider X {\displaystyle
Half-disk_topology
Mathematics principle in complex analysis
continuation. It states that if an analytic function is defined on the upper half-plane, and has well-defined (non-singular) real values on the real axis,
Schwarz_reflection_principle
Polygon associated with a compact Riemann surface
the following: the Riemann sphere, the complex plane, the unit disk D or equivalently the upper half-plane H. In the first case of genus zero, the surface
Fundamental_polygon
Logarithm of a complex number
the upper half plane, but not on the lower half plane. So it makes sense to glue the domains of these branches only along the copies of the upper half plane
Complex_logarithm
Algebraic surface in mathematics
surface obtained by taking a quotient of a product of two copies of the upper half-plane by a Hilbert modular group. More generally, a Hilbert modular variety
Hilbert_modular_variety
Mathematical theorem
dx} and allow ζ {\displaystyle \zeta } to be a complex number in the upper half-plane. One may then expect to differentiate under the integral in order to
Paley–Wiener_theorem
Two-dimensional manifold
closure of the upper half-plane H2 in C. These homeomorphisms are also known as (coordinate) charts. The boundary of the upper half-plane is the x-axis
Surface_(topology)
Mathematical equation
{C} \cup \{\infty \}} ; where H {\displaystyle \mathbb {H} } is the upper half-plane and Γ {\displaystyle \Gamma } is the modular group. The Picard–Fuchs
Picard–Fuchs_equation
Restriction of a theta function
in the upper half-plane in which case the theta constants are modular forms, or more generally may be an element of a Siegel upper half plane in which
Theta_constant
One-dimensional complex manifold
\mathbb {D} :=\{z\in \mathbb {C} :|z|<1\}} , which is isomorphic to the upper half-plane H := { z ∈ C : Im ( z ) > 0 } {\displaystyle \mathbb {H} :=\{z\in
Riemann_surface
Function defined by a hypergeometric series
integers p, q, r, then the triangle tiles the sphere, the complex plane or the upper half plane according to whether λ + μ + ν − 1 is positive, zero or negative;
Hypergeometric_function
Complex-valued smooth functions of the upper half plane (harmonic analysis topic)
automorphic forms. Maass forms are complex-valued smooth functions of the upper half plane, which transform in a similar way under the operation of a discrete
Maass_wave_form
{\displaystyle \mathbb {C} } constructed as a stacky quotient of the upper-half plane by the action of S L 2 ( Z ) {\displaystyle SL_{2}(\mathbb {Z} )}
Moduli_of_abelian_varieties
Conformal mappings in complex analysis
s-function is a function that conformally maps the upper half plane to a triangle in the upper half plane having lines or circular arcs for edges. The target
Schwarz_triangle_function
Complex-differentiable part of a Maass wave function
asymptotic expansions at cusps of the modular group, acting on the upper half-plane, that resemble those of modular forms of weight 1/2 with poles at
Mock_modular_form
Mathematics of smooth surfaces
hyperbolic plane. The intrinsic geometry of this surface is now better understood in terms of the Poincaré metric on the upper half plane or the unit
Differential geometry of surfaces
Differential_geometry_of_surfaces
Parametrizes complex structures on a surface
{H} =\{z\in \mathbb {C} :\operatorname {Im} (z)>0\},} is the complex upper half-plane. Then we have a bijection: H ⟶ T ( T 2 ) {\displaystyle \mathbb {H}
Teichmüller_space
Topological space
Vladimirovich Nemytskii. If Γ {\displaystyle \Gamma } is the (closed) upper half-plane Γ = { ( x , y ) ∈ R 2 | y ≥ 0 } {\displaystyle \Gamma =\{(x,y)\in \mathbb
Moore_plane
Möbius transformation generalized to rings other than the complex numbers
generalized circles in the complex plane. To construct models of the hyperbolic plane the unit disk and the upper half-plane are used to represent the points
Linear fractional transformation
Linear_fractional_transformation
Mathematician
in a book titled "Chiral Algebras." Drinfeld reciprocity Drinfeld upper half plane Manin–Drinfeld theorem Quantum group Chiral algebra Quasitriangular
Vladimir_Drinfeld
Symmetric holomorphic function
function λ(τ) is a highly symmetric holomorphic function on the complex upper half-plane. It is invariant under the fractional linear action of the congruence
Modular_lambda_function
Statement in complex analysis
transformation mapping the unit disc to itself. An analogous statement on the upper half-plane H {\displaystyle \mathbf {H} } can be made as follows: Let f : H →
Schwarz_lemma
Integral of sin(x)/x from 0 to infinity
choose as the integration contour for f {\displaystyle f} the union of upper half-plane semicircles of radii ε {\displaystyle \varepsilon } and R {\displaystyle
Dirichlet_integral
a consequence of the presence in the modular group's action on the upper half-plane via the transformation z ↦ z + 1. {\displaystyle z\mapsto z+1.} For
Cusp_form
Mathematics theory
uniformization of a complex Riemann surface (an isomorphism from the upper half plane to a universal covering space of the surface) in a way that makes sense
P-adic_Teichmüller_theory
Mathematical function
a weak Maass form is a smooth function f {\displaystyle f} on the upper half plane, transforming like a modular form under the action of the modular group
Harmonic_Maass_form
Rational function of the form (az + b)/(cz + d)
proper metric is introduced, the upper half-plane becomes a model of the hyperbolic plane H2, the Poincaré half-plane model, and PSL(2, R) is the group
Möbius_transformation
Radius of the circle which best approximates a curve at a given point
{\gamma }}''\right)^{2}}}}\,.} For a semi-circle of radius a in the upper half-plane with R = | − a | = a , {\textstyle R=|-a|=a\,,} y = a 2 − x 2 y ′ =
Radius_of_curvature
Topics referred to by the same term
sound H or high, the high-prestige register in a diglossia H, the upper half-plane of the complex numbers H, the Heaviside step function h, impulse response
H_(disambiguation)
Monster and modular connection
subgroup of SL2(R) which fixes Tg, then the quotient of the upper half of the complex plane by Gg is a sphere with a finite number of points removed, and
Monstrous_moonshine
Hyperbolic 3-manifold proposed as a model for the shape of the universe
described by Émile Picard in 1884. The manifold is the quotient of the upper half-plane model of hyperbolic 3-space by the projective special linear group
Picard_horn
Smallest convex set containing a given set
a finite set of points in the plane or other low-dimensional Euclidean spaces, and its dual problem of intersecting half-spaces, are fundamental problems
Convex_hull
Special point on a modular curve in mathematics
modular curve that is the image of a quadratic imaginary point of the upper half-plane. Heegner points were defined by Bryan Birch and named after Kurt Heegner
Heegner_point
Coordinate system
two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes. The axes themselves are, in general
Quadrant_(plane_geometry)
Generalized manifold
S L ( 2 , Z ) {\displaystyle \mathrm {SL} (2,\mathbb {Z} )} on the upper half-plane: a version of the Riemann–Roch theorem holds after the quotient is
Orbifold
Topics referred to by the same term
evaluate a limit Modular form, a (complex) analytic function on the upper half plane satisfying a certain kind of functional equation and growth condition
Form
Type of generalized function
between one holomorphic function defined on the upper half-plane and another on the lower half-plane. That is, a hyperfunction is specified by a pair
Hyperfunction
Mathematical operation
x+1]=[x,\ 1]{\begin{pmatrix}1&1\\-1&1\end{pmatrix}}.} On the upper half of the complex plane, the Cayley transform is: f ( z ) = z − i z + i . {\displaystyle
Cayley_transform
Special functions of several complex variables
where z can be any complex number and τ is the half-period ratio, confined to the upper half-plane, which means it has a positive imaginary part. It
Theta_function
Anatomical subdivision scheme
fossa and half of the flank. The equivalent in other animals is left posterior quadrant. The left upper quadrant extends from the umbilical plane to the
Quadrants and regions of abdomen
Quadrants_and_regions_of_abdomen
conjugate pairs. For each conjugate pair, pick the zero or pole in the upper half plane and accumulate these to obtain q ( t ) {\displaystyle q(t)} . The uniqueness
Polynomial matrix spectral factorization
Polynomial_matrix_spectral_factorization
Concept in topology
The Sorgenfrey plane. The Niemytzki plane. The subspace of R 2 {\displaystyle \mathbb {R} ^{2}} consisting of the open upper half plane together with the
Baire_space
Branch of pure mathematics
object. For example, an equation in two variables defines a curve in the plane. More generally, an equation or system of equations in two or more variables
Number_theory
axis outside a small neighborhood of the origin and deviates into the upper half-plane near the origin. The same function can be described by the integral
Quantum_dilogarithm
Special function of two variables
analytic number theory. Let H {\displaystyle {\mathcal {H}}} be the upper half-plane. For z ∈ H {\displaystyle z\in {\mathcal {H}}} , the Eisenstein series
Real analytic Eisenstein series
Real_analytic_Eisenstein_series
Analytic function that does not satisfy a polynomial equation
{Q} ]=2\right\},} where H {\displaystyle {\mathcal {H}}} is the upper half-plane, and [ Q ( α ) : Q ] {\displaystyle [\mathbb {Q} (\alpha ):\mathbb
Transcendental_function
Conjectures connecting number theory and geometry
with automorphic forms (holomorphic functions on the upper half plane of the complex number plane C {\displaystyle \mathbb {C} } that satisfy certain functional
Langlands_program
Area of mathematical analysis
on Symmetric Spaces-Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane (2nd ed.). New York, NY: Springer. p. 37. ISBN 978-1461479710. Retrieved
Harmonic_analysis
Typeface style used in mathematics
highlighted [in yellow] are in the Plane 0 [Basic Multilingual Plane], not in the Mathematical Alphanumeric Symbols block in Plane 1. Weisstein, Eric W. "Doublestruck"
Blackboard_bold
Nonlinear differential operator used to study conformal mappings
the unique conformal map between the upper half-plane or unit disk and any bounded polygon in the complex plane, the edges of which are circular arcs
Schwarzian_derivative
Concept of complex analysis
the upper or lower half-plane, forming a semicircle. The integral over this curve can then be computed using the residue theorem. Often, the half-circle
Residue_theorem
Branch of mathematics that studies the properties of groups
moved perpendicularly through the plane to a position exactly as far from the plane as when it started. When the plane is perpendicular to the principal
Group_theory
Type of topological group
of the hyperbolic plane. A Fuchsian group that preserves orientation and acts on the upper half-plane model of the hyperbolic plane is a discrete subgroup
Discrete_group
that if E(z) is in the class, then: E(z) has no zero (root) in the upper half-plane. | E ( x + i y ) | ≥ | E ( x − i y ) | {\displaystyle |E(x+iy)|\geq
Hermite_class
Plane algebraic curve
it has another expression as a compactified quotient of the complex upper half-plane H. The classical modular curve, which we will call X0(n), is of degree
Classical_modular_curve
Theorem of analytic continuations
complex-valued function on the complex plane that is holomorphic on the upper half-plane, and on the lower half-plane. Then it is holomorphic everywhere.
Edge-of-the-wedge_theorem
Topics referred to by the same term
function, λ(τ), a highly symmetric holomorphic function on the complex upper half-plane Carmichael function, λ(n), in number theory and group theory Lambda
Lambda_function
Extension of the Schwarz lemma for hyperbolic geometry
Poincaré half-plane model. The Schwarz–Pick lemma states that every holomorphic function from the unit disk U to itself, or from the upper half-plane H to
Schwarz–Ahlfors–Pick_theorem
Mathematical function that preserves angles
diagram Schwarz–Christoffel mapping – a conformal transformation of the upper half-plane onto the interior of a simple polygon Special linear group – transformations
Conformal_map
Mathematical formula
itself aphysical due to being non-Hermitian and non-analytic in the upper half-plane. Further researchers have modified the model to address these shortcomings
Tauc–Lorentz_model
have to integrate products of the angle in the upper half-plane, H, as follows. The upper half-plane is H ⊂ C {\displaystyle \mathbb {C} } , endowed
Kontsevich quantization formula
Kontsevich_quantization_formula
Number, approximately 3.14
an elliptic curve. Modular forms are holomorphic functions in the upper half plane characterized by their transformation properties under the modular
Pi
Non-Euclidean geometry
H2/Γ of the upper half-plane modulo the fundamental group is known as the Fuchsian model of the hyperbolic surface. The Poincaré half plane is also hyperbolic
Hyperbolic_space
Group in group theory and physics
of entire functions, with the model depending on a parameter in the upper half-plane. If a, b, c are integers (in the ring Z), then one has the discrete
Heisenberg_group
Group in mathematical representation theory
linear group SL2(R). This group biholomorphically acts on the complex upper half-plane by fractional-linear transformations, such as the Möbius transformation
Metaplectic_group
Theory of a class of elliptic curves
simple expressions for the other Heegner numbers. The points of the upper half-plane τ which correspond to the period ratios of elliptic curves over the
Complex_multiplication
UPPER HALF-PLANE
UPPER HALF-PLANE
Male
English
Pet form of English Henry, HAL means "home-ruler."
Male
English
 English surname transferred to forename use, derived from Old English heall "hall," hence "lives at the hall." Middle English name HALL means "to cover, conceal."
Female
Welsh
Welsh name HAF means "summer."
Male
German
Pet form of German Adolf, AHLF means "noble wolf."
Girl/Female
African, Arabic, Hindu, Indian, Lebanese, Muslim, Pashtun, Sanskrit, Swahili
Halo Around the Moon; Plough; Girlfriend; Great; Dazzling; Glorious; Lunar Halo; Glory; Golden; Female Friend; Sweetness; Outline of Brightness Surrounding a Full Moon
Surname or Lastname
English
English : occupational name for a herdsman who had charge of rams, from an agent derivative of Middle English to(u)pe ‘ram’ (of uncertain origin).German (Tüpper) : occupational name for a potter, from Middle Low German duppe, Rhenish düppen ‘pot’. This is predominantly a Rhineland surname.This is the name of a family descended from two brothers, originally from Kassel, Germany. They fled religious persecution in the 16th century, settling in the Netherlands, where a descendant became burgomaster of Rotterdam in 1813. A branch of the family settled in England at Sandwich, Kent, whence another descendant, Thomas Tupper, went to America in 1635, and helped to found Sandwich, MA, in 1637. Benjamin Tupper, born in Stoughton, MA, in 1738 was a colonial legislator and explorer of OH.
Boy/Male
Latin
Half man half horse.
Male
Scandinavian
 Scandinavian form of Old Norse Ráðúlfr, RALF means "wise wolf." Compare with another form of Ralf.
Male
English
Short form of English Alfred, ALF means "elf counsel." Compare with other forms of Alf.
Girl/Female
Muslim
Aureole, Halo around the Moon
Girl/Female
Indian
Aureole, Halo around the Moon
Boy/Male
American, Anglo, Australian, British, Christian, English, French, German, Teutonic
Ingenious; From the Hall; Healthy Hero
Boy/Male
Norse
Half son of Asgeir.
Surname or Lastname
English, Scottish, Irish, German, and Scandinavian
English, Scottish, Irish, German, and Scandinavian : from Middle English hall (Old English heall), Middle High German halle, Old Norse hǫll all meaning ‘hall’ (a spacious residence), hence a topographic name for someone who lived in or near a hall or an occupational name for a servant employed at a hall. In some cases it may be a habitational name from places named with this word, which in some parts of Germany and Austria in the Middle Ages also denoted a salt mine. The English name has been established in Ireland since the Middle Ages, and, according to MacLysaght, has become numerous in Ulster since the 17th century.Hall is one of the commonest and most widely distributed of English surnames, bearing witness to the importance of the hall as a feature of the medieval village.
Male
Scandinavian
Scandinavian form of Old Norse Alfr, ALF means "elf." Compare with other forms of Alf.
Boy/Male
Christian & English(British/American/Australian)
From the Hall or Manor
Girl/Female
Muslim
Lunar halo. Glory.
Male
German
Low German pet form of German Adolf, ALF means "noble wolf." Compare with other forms of Alf.
Boy/Male
English Swedish Teutonic
Lives in the hall.
Boy/Male
Arabic, Indian, Lebanese, Sanskrit, Swahili
Halo Around the Moon; Plough; Great; Dazzling; Sweetness
UPPER HALF-PLANE
UPPER HALF-PLANE
Girl/Female
British, English
Beautiful; Rose
Girl/Female
Hindu
Creation, Nature or earth
Boy/Male
Indian
Stops a War
Boy/Male
Greek Latin
A blind hero.
Boy/Male
Indian, Sanskrit
With a Powerful Army
Girl/Female
Arabic, Australian, Chinese, Muslim
Treated or Touched in a Kind and Loving Way; Coquettishness; Pampering
Boy/Male
Anglo Saxon American Greek
Brave.
Boy/Male
Indian, Tamil
Joy of Soul
Girl/Female
Tamil
Related with season
Boy/Male
American, British, English
From the Oak Tree
UPPER HALF-PLANE
UPPER HALF-PLANE
UPPER HALF-PLANE
UPPER HALF-PLANE
UPPER HALF-PLANE
a.
Consisting of a moiety, or half; as, a half bushel; a half hour; a half dollar; a half view.
n.
The upper leather for a shoe; a vamp.
a.
Half-blooded.
a.
Done or happening at intervals of half an hour.
adv.
In an equal part or degree; in some pa/ appro/mating a half; partially; imperfectly; as, half-colored, half done, half-hearted, half persuaded, half conscious.
a.
Of half the whole or ordinary length, as a picture.
a.
Imperfectly hatched; as, half-hatched eggs.
a.
Half-filled.
v. i.
To take supper; to sup.
a.
Consisting of some indefinite portion resembling a half; approximately a half, whether more or less; partial; imperfect; as, a half dream; half knowledge.
n.
Half the length of a sword; close fight.
comp.
Being further up, literally or figuratively; higher in place, position, rank, dignity, or the like; superior; as, the upper lip; the upper side of a thing; the upper house of a legislature.
n.
See Half deck, under Deck.
a.
One of two equal parts into which anything may be divided, or considered as divided; -- sometimes followed by of; as, a half of an apple.
a.
Half-demented; half-witted.
n.
The shape of a half-moon; a crescent.
a.
Half-blooded.
v. t.
To supply with supper.
a.
Half-bred; imperfect.