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Topics referred to by the same term
Half-space may refer to: Half-space (geometry), either of the two parts into which a plane divides Euclidean space (Poincaré) Half-space model, a model
Half-space
Bisection of Euclidean space by a hyperplane
half-space is called a half-plane (open or closed). A half-space in a one-dimensional space is called a half-line or ray. More generally, a half-space is
Half-space_(geometry)
Computer text file character representing blank space
white space when text is rendered for display by a computer. For example, a space character (U+0020 SPACE, ASCII 32) represents blank space such as
Whitespace_character
Study of the deformation of solids that touch each other
in An elastic sphere of radius R {\displaystyle R} indents an elastic half-space where total deformation is d {\displaystyle d} , causing a contact area
Contact_mechanics
Space of complex matrices with positive definite imaginary part
mathematics, given a positive integer g {\displaystyle g} , the Siegel upper half-space H g {\displaystyle {\mathcal {H}}_{g}} of degree g {\displaystyle g} is
Siegel_upper_half-space
Maximally symmetric Lorentzian manifold with a negative cosmological constant
of the space gives the half-space coordinatization of anti-de Sitter space, and is similar to the Poincaré half-plane model of hyperbolic space but with
Anti-de_Sitter_space
Mathematical concept
\|u\|_{H^{p}}=\|f\|_{L^{p}}} Thus, again, the Hardy space Hp on the upper half-plane is a Banach space, and, in particular, its restriction to the real axis
Poisson_kernel
Upper-half plane model of hyperbolic non-Euclidean geometry
embedded in 3-dimensional Minkowski space, analogous to the sphere embedded in 3-dimensional Euclidean space), the half-plane model is obtained by orthographic
Poincaré_half-plane_model
Geological process at mid-ocean ridges
cooling of a lithosphere plate or mantle half-space in areas without significant subduction. In the mantle half-space model, the oceanic crust height is determined
Seafloor_spreading
Hyperplane in geometry
half-spaces bounded by the hyperplane, S {\displaystyle S} has at least one boundary-point on the hyperplane. Here, a closed half-space is the half-space
Supporting_hyperplane
Partial converse of Taylor's theorem
Whitney extension theorem in the special case of a half space. A smooth function on a half space Rn,+ of points where xn ≥ 0 is a smooth function f on
Whitney_extension_theorem
Quantifying the behaviour of loudspeakers
for using such half-space measurements and aiming for a flat half-space response. Speakers that are equalised to give a flat free-space response will always
Loudspeaker_measurement
Non-Euclidean geometry
in more detail in their namesake articles: Poincaré half-space model: this is the upper-half space { ( x 1 , … , x n ) ∈ R n : x n > 0 } {\displaystyle
Hyperbolic_space
Convex hull of a finite set of points in a Euclidean space
terms of a convex set of points in space. Other important definitions are: as the intersection of half-spaces (half-space representation) and as the convex
Convex_polytope
Multivariate generalization of the median
theorem. Suppose there are n points, and consider the family of closed half-spaces that contain more than dn/(d + 1) of the points. Fewer than n/(d + 1)
Centerpoint_(geometry)
Connected non-abelian Lie group lacking nontrivial connected normal subgroups
used to read off the list of simple Lie algebras and Riemannian symmetric spaces. Together with the commutative Lie group of the real numbers, R {\displaystyle
Simple_Lie_group
Generalization of a quadrant to any dimension
n mutually orthogonal half-spaces. By independent selections of half-space signs, there are 2n orthants in n-dimensional space. More specifically, a closed
Orthant
Dynamic disturbance in a medium or field
needed][clarification needed] The analytical solution of SV-wave in a half-space indicates that the plane SV wave reflects back to the domain as a P and
Wave
Subspace of n-space whose dimension is (n-1)
the intersection of half-spaces. In non-Euclidean geometry, the ambient space might be the n-dimensional sphere or hyperbolic space, or more generally
Hyperplane
Study of the deformation of bodies in the presence of frictional effects
contact problems with general material models and geometries, and into half-space based approaches for so-called smooth-edged contact problems for linearly
Frictional_contact_mechanics
Complex numbers with non-negative imaginary part
Half-planes are an example of two-dimensional half-space. A half-plane can be split in two quadrants. The affine transformations of the upper half-plane
Upper_half-plane
All numbers between two given numbers
If a half-space is taken as a kind of degenerate ball (without a well-defined center or radius), a half-space can be taken as analogous to a half-bounded
Interval_(mathematics)
Significant topic in economics
closed half-spaces determined by the hyperplane S {\displaystyle S} has at least one point on the hyperplane. Here, a closed half-space is the half-space that
Convexity_in_economics
the critical velocity. The dynamic governing equations of the elastic half-space and beam are respectively μ ∇ 2 u → + ( λ + μ ) ∇ ( ∇ u → ) = ρ ∂ 2 u
Critical_embankment_velocity
Mathematical set closed under positive linear combinations
{\displaystyle \{x\in V\mid f(x)\geq c\},} and likewise an open half-space uses strict inequality. Half-spaces (open or closed) are affine convex cones. Moreover (in
Convex_cone
Optimization problem in computer science
simplest is the k-d tree, which iteratively bisects the search space into two regions containing half of the points of the parent region. Queries are performed
Nearest_neighbor_search
Inequality which involves a linear function
a convex polyhedron (possibly unbounded, e.g., a half-space, a slab between two parallel half-spaces or a polyhedral cone). It may also be empty or a
Linear_inequality
Branch of radiative heat transfer
between arbitrary non-magnetic media. They examined the case of two half-spaces separated by a small vacuum gap. Polder and Van Hove used the fluctuation-dissipation
Near-field radiative heat transfer
Near-field_radiative_heat_transfer
Inequality applying to Eudlidean space and half-spaces
all sets of given Gaussian measure in the n-dimensional Euclidean space, half-spaces have the minimal Gaussian boundary measure. Let A {\displaystyle \scriptstyle
Gaussian isoperimetric inequality
Gaussian_isoperimetric_inequality
Maximally symmetric Lorentzian manifold with a positive cosmological constant
In mathematical physics, n-dimensional de Sitter space (often denoted dSn) is a maximally symmetric Lorentzian manifold with constant positive scalar
De_Sitter_space
Space service branch of the U.S. military
space:" Space superiority (in space) Global mission operations (from space) Assured space access (to space) Space superiority defends against space and
United_States_Space_Force
Screening phenomenon in metals
one-dimensional electron gas in a half-space x > 0 {\displaystyle x>0} . The electrons do not penetrate into the half-space x ≤ 0 {\displaystyle x\leq 0}
Friedel_oscillations
Major type of automorphic form in mathematics
moduli space for abelian varieties (with some extra level structure) should be and are constructed as quotients of the Siegel upper half-space, rather
Siegel_modular_form
American spaceflight and AI company
Space Exploration Technologies Corp., doing business as SpaceX, is an American aerospace manufacturer and provider of space transportation, telecommunications
SpaceX
markets, formulated in terms of net trade, the budget set is contained in a half space intersecting the positive cone of contingent goods at zero net trade only
Radner_equilibrium
the Dirac operator and the Fourier transform. When we consider upper half space Rn,+ with boundary Rn−1, the span of e1, ..., en−1, under the Fourier
Clifford_analysis
Distance to which a magnetic field penetrates into a superconductor
superconducting half-space, i.e. superconducting for x>0, and weak external magnetic field B0 applied along z direction in the empty space x<0, then inside
London_penetration_depth
Topological space
the plane, or a single point in the plane; the fundamental domain is a half-space bounded by that plane for reflection in a point: an orbit is a set of
Fundamental_domain
Straight figure with zero width and depth
called a half-axis if it plays a distinct role, e.g., the positive and negative half-axes of a coordinate axis. It is a one-dimensional half-space. The point
Line_(geometry)
1968 film by Stanley Kubrick
2001: A Space Odyssey is a 1968 epic science fiction film produced and directed by Stanley Kubrick, who co-wrote the screenplay with Arthur C. Clarke
2001:_A_Space_Odyssey
Interface between solid and liquid phases
generated by the cooling of a liquid at constant temperature filling the half-space. In 1889, Stefan, while working on the freezing of the ground developed
Phase_boundary
Void between celestial bodies
Outer space, or simply space, is the expanse that exists beyond Earth's atmosphere and between celestial bodies. It contains ultra-low levels of particle
Outer_space
Environmental effects on seismic waves
amplification in horizontal geological layers. We consider a homogeneous elastic half-space (in green) over which an elastic alluvial layer of constant thickness
Seismic_site_effects
Distance from origin of tangent hyperplanes
definition, the convex set A {\displaystyle A} is contained in the closed half-space { y ∈ R n : y ⋅ x ⩽ h A ( x ) } {\displaystyle \{y\in \mathbb {R} ^{n}:y\cdot
Support_function
Nigerian academic (1937–1984)
and axially symmetric problems of a linearly non-homogeneous elastic half-space – A. O. Awojobi, R. E. Gibson, 1973 Vibration of rigid bodies on non-homogeneous
Ayodele_Awojobi
Model of hyperbolic geometry
1) by its center {I, −I}. Along with the Klein model and the Poincaré half-space model, it was proposed by Eugenio Beltrami who used these models to show
Poincaré_disk_model
Theorem in probability theory
hypersphere all lie on the same "half" of the hypersphere. In other words, one seeks the probability that there is some half-space with the origin on its boundary
Wendel's_theorem
vanished at all Jacobian points (the points of the degree 4 Siegel upper half-space corresponding to 4-dimensional abelian varieties that are the Jacobian
Schottky_form
Algebraic variety that is a moduli space for principally polarized abelian varieties
analytic spaces constructed as the quotient of the Siegel upper half-space of degree g by the action of a symplectic group. Complex analytic spaces have naturally
Siegel_modular_variety
structure, one can go further and obtain a fine moduli space. Recall that the Siegel upper half-space H g {\displaystyle H_{g}} is the set of symmetric g
Moduli_of_abelian_varieties
Specialty keyboard
A half-keyboard is a specially designed and programmed keyboard used in limited space situations or when the typist needs a hand free to answer the phone
Half-keyboard
American space and aeronautics agency
Aeronautics and Space Administration (NASA /ˈnæsə/) is an independent agency of the U.S. federal government responsible for the United States' civil space program
NASA
Siegel half-space which is fundamental in arithmetic. Let Rn denote real coordinate space of dimension n and Cn denote complex coordinate space. Then any
Tube_domain
Type of non-Euclidean geometry
parabolic transformations are conjugate to rigid translations in the upper half-space model, and they are exactly those transformations that can be represented
Hyperbolic_geometry
Type of plane partition
than to p j {\displaystyle p_{j}} , or equally distant, form a closed half-space, whose boundary is the perpendicular bisector of line segment p j p k
Voronoi_diagram
Reality television program
Space Hero is an upcoming reality television show where contestants can win a trip to space. Space Hero was founded by Deborah Sass and Thomas Reemer.
Space_Hero
Modular space station in low Earth orbit
The International Space Station (ISS) is a space station in low Earth orbit (LEO). It is the product of the International Space Station program and is
International_Space_Station
Short chains of 2–50 amino acids
PMID 40621014. Romero, Maylin; Marrero-Ponce, Yovani (2025-11-18). "Half-Space Proximal Networks (HSPNs): A Proxy for Multi-Query Similarity Searching"
Peptide
US space base in Greenland
Pituffik Space Base (/biːduːˈfiːk/, bee-doo-FEEK; Greenlandic: [pitufːik]; IATA: THU, ICAO: BGTL), formerly Thule Air Base (/ˈtuːliː/, TOO-lee), is a
Pituffik_Space_Base
NASA/ESA space telescope launched in 1990
The Hubble Space Telescope (HST or Hubble) is a space telescope that was launched into low Earth orbit in 1990 and remains in operation. It was not the
Hubble_Space_Telescope
Electricity to a loudspeaker for sound
increase the effective sensitivity by changing free space into half space, quarter space, or eighth space. When the distance to boundaries is > 1/4 wavelength
Audio_power
In geometry, set whose intersection with every line is a single line segment
They can be characterised as the intersections of closed half-spaces (sets of points in space that lie on and to one side of a hyperplane). From what has
Convex_set
1994 single by Jamiroquai
than 5.4 million views as of early 2025. UK CD single 1 "Half the Man" (Edit) – 3:35 "Space Clav" – 4:56 (Written by – Gary Barnacle/Toby Smith/Stuart
Half the Man (Jamiroquai song)
Half_the_Man_(Jamiroquai_song)
1986 breakup of American orbiter
On January 28, 1986, Space Shuttle Challenger broke apart 73 seconds into its flight, killing all seven crew members. The spacecraft disintegrated about
Space Shuttle Challenger disaster
Space_Shuttle_Challenger_disaster
Armenian scientist and mathematician (1958–2018)
Karapetyan G.A., Solution of μ {\displaystyle \mu } -elliptic equations in the half-space // DAN Аrm. SSR, vol. 75, No.15, 1982, pp. 200–204. Karapetyan G.A., Theorems
Garnik_A._Karapetyan
intersection of a convex body with a half-space. A cap C {\displaystyle C} can be defined as the intersection of a half-space H + {\displaystyle H^{+}} with
Convex_cap
Property of a mathematical space
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify
Dimension
Brief description on Macbeath Regions
{\displaystyle R^{d}} containing both a ball of radius r and a half-space H, with the half-space disjoint from the ball, and the cap K ∩ H {\displaystyle K\cap
Macbeath_region
American space tourist
space tourist and former advertising executive. He is the half-brother of Jeff Bezos, the founder of Amazon, with whom he flew to the edge of space as
Mark_Bezos
Smallest convex set containing a given set
in the plane or other low-dimensional Euclidean spaces, and its dual problem of intersecting half-spaces, are fundamental problems of computational geometry
Convex_hull
American artificial intelligence subsidiary of SpaceX
SpaceXAI LLC (formerly xAI) is an American artificial intelligence company founded by Elon Musk. In February 2026 it became a subsidiary of spaceflight
SpaceXAI
2026 British television miniseries
Half Man is a British six-part television drama created by Richard Gadd. It is a co-production by Thistledown Pictures and Mam Tor Productions for the
Half_Man_(TV_series)
the half symmetry is [3,3,8,1+] = [3,((3,4,3))]. In the geometry of hyperbolic 3-space, the infinite-order tetrahedral honeycomb is a regular space-filling
Order-7_tetrahedral_honeycomb
Smooth manifold with an inner product on each tangent space
Riemann space) is a geometric space on which many geometric notions such as distance, angles, length, volume, and curvature are defined. Euclidean space, the
Riemannian_manifold
Partially reusable launch system and space plane
National Aeronautics and Space Administration (NASA) as part of the Space Shuttle program. Its official program name was the Space Transportation System
Space_Shuttle
element of the Siegel upper half space of degree d, and the sum is over equivalence classes of matrices C,D that are the "bottom half" of an element of the
Siegel_Eisenstein_series
Euclidean Wightman distributions
the positive half-space ( ϕ + {\displaystyle \phi _{+}} ), and S − {\displaystyle S_{-}} which only depends upon φ on the negative half-space ( ϕ − {\displaystyle
Schwinger_function
SpaceX satellite Internet constellation
SpaceX, providing broadband Internet service in approximately 160 countries and territories. It also aims to provide global mobile broadband. SpaceX
Starlink
English mathematician
for scattering by small defects in an elastic half-space making use of a certain expansion of the half-space Green's function. More recently Abrahams has
David Abrahams (mathematician)
David_Abrahams_(mathematician)
Type of topological group
3-space. These include quasi-Fuchsian groups. A Kleinian group that preserves orientation and acts on the upper half space model of hyperbolic 3-space is
Discrete_group
Choice of reference for distinguishing an object and its mirror image
The orientation of a real vector space or simply orientation of a vector space is the arbitrary choice of which ordered bases are "positively" oriented
Orientation_(vector_space)
Probability distribution
normal distribution is a fundamental solution of the heat equation on the half space; it corresponds to having a perfect insulator on a hyperplane through
Folded_normal_distribution
NASA/ESA/CSA space infrared telescope launched in 2021
of US$10 billion. The mass of the James Webb Space Telescope (JWST) is about half that of the Hubble Space Telescope. Webb has a 6.5-meter-diameter (21-foot)
James_Webb_Space_Telescope
1994 studio album by Jamiroquai
Its singles "Half the Man" and "Stillness in Time" reached number 15 and number 9, respectively, on the UK Singles Chart, while "Space Cowboy" and "Light
The Return of the Space Cowboy
The_Return_of_the_Space_Cowboy
1996 film by Joe Pytka
Space Jam is a 1996 American sports comedy film directed by Joe Pytka and written by Leo Benvenuti, Steve Rudnick, Timothy Harris, and Herschel Weingrod
Space_Jam
Video game series
Dead Space is a science fiction horror franchise created by Glen Schofield and owned by Electronic Arts. It was developed primarily by Visceral Games
Dead_Space
which is a glide along the half of a diagonal of a face, and the d glide, which is along a quarter of either a face or space diagonal of the unit cell
List_of_space_groups
American mathematician
three-dimensional Euclidean space. Hoffman and William Meeks proved that any minimal surface which is contained in a half-space must fail to be properly
David_Allen_Hoffman
A space station (or orbital station) is a spacecraft which remains in orbit and hosts humans for extended periods of time. It is therefore an artificial
List_of_space_stations
Generalization of Riemannian manifolds
defined in an open half-space of T x M {\displaystyle T_{x}M} . However, many concepts of Finsler geometry still apply to Kropina spaces. In Zermelo's navigation
Finsler_manifold
Unit of measure for equipment frames
"half rack width" appliances may be used in a chassis system that fits the traditional 19-inch rack space, but allows for these 8.4-inch-wide "half rack
Rack_unit
2003 American spaceflight accident
On February 1, 2003, Space Shuttle Columbia disintegrated as it re-entered the atmosphere over Texas and Louisiana, killing all seven astronauts on board
Space Shuttle Columbia disaster
Space_Shuttle_Columbia_disaster
Proposed mode of space travel
Space travel under constant acceleration is a hypothetical method of space travel that involves the use of a propulsion system that generates a constant
Space travel under constant acceleration
Space_travel_under_constant_acceleration
Concept in differential geometry
diffeological spaces that are locally modeled by the collection { y ( O ) ∣ O is a half-space } {\displaystyle \{y(O)\mid O{\text{ is a half-space}}\}} , and
Diffeology
This is a list of characters in the Half-Life videogame series, which comprises Half-Life, Half-Life 2, Half-Life: Alyx, and their respective expansion
Characters of the Half-Life series
Characters_of_the_Half-Life_series
Hypersurface in hyperbolic space
is represented by a sphere tangent to the horizon sphere. In the upper half-space model, a horosphere can appear either as a sphere tangent to the horizon
Horosphere
Association football position
the false-10s, creating space in the middle of the pitch, the false-10 will then also surprise defenders by exploiting this space and moving out of position
Midfielder
equivalently, it is a homogeneous space for S U ( p , q ) {\displaystyle \mathrm {SU} (p,q)} . For the Siegel upper half-space (or, equivalently, the bounded
Shilov_boundary
US Space Force station near Cavalier, North Dakota
PARCS also monitors and tracks over half of all earth-orbiting objects to enable space situation awareness and space control. In addition to contractors
Cavalier_Space_Force_Station
American television series
Space Force is an American workplace comedy television series created by Greg Daniels and Steve Carell for Netflix. It centers on a group of people tasked
Space_Force_(TV_series)
travel, tourism, insurance
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travel, tourism, insurance