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commonly used: rectangular sampling and hexagonal sampling. In rectangular sampling, a 2-dimensional signal, for example, is sampled according to the following
Hexagonal_sampling
Coordinate system for digital imaging
to rectangular sampling. Researchers have shown that the hexagonal grid is the optimal sampling lattice and its use provides a sampling efficiency improvement
Hexagonal Efficient Coordinate System
Hexagonal_Efficient_Coordinate_System
discrete Fourier transform (DFT) of images captured with hexagonal sampling. Hexagonal sampling's application is limited due to the lack of an efficient
Hexagonal fast Fourier transform
Hexagonal_fast_Fourier_transform
2 {\displaystyle \Re ^{2}} is the hexagonal lattice. As a consequence, hexagonal lattices are preferred for sampling isotropic fields in ℜ 2 {\displaystyle
Multidimensional_sampling
Hexagonal lattice allotrope of carbon
Kathleen Lonsdale), also called hexagonal diamond in reference to the crystal structure, is an allotrope of carbon with a hexagonal lattice, as opposed to the
Lonsdaleite
Discrete Fourier transform algorithm
{n^{2}}{2}}+{\frac {k^{2}}{2}}.} Hexagonal fast Fourier transform (HFFT) aims at computing an efficient FFT for the hexagonally-sampled data by using a new addressing
Fast_Fourier_transform
Spatial grid based on a geodesic polyhedron
made up of hexagons and (if based on the icosahedron) 12 pentagons. One implementation that uses an icosahedron as the base polyhedron, hexagonal cells, and
Geodesic_grid
Refractory compound of boron and nitrogen with formula BN
crystalline form is the hexagonal one, also called h-BN, α-BN, g-BN, graphitic boron nitride and "white graphite". Hexagonal boron nitride (point group
Boron_nitride
2009 studio album by Leessang
Hexagonal is the sixth album by South Korean hip-hop duo Leessang. The album was released on October 6, 2009. The album contains 16 songs. Samples Luther
Hexagonal_(album)
Electronic drum brand in Britain
they developed the four customizable preset buttons. The distinctive hexagonal shape came about after triangles and bat-wing mock-ups had been tried
Simmons (electronic drum company)
Simmons_(electronic_drum_company)
Family of digital signal processor microprocessors
Hexagon is the brand name for a family of digital signal processor (DSP) and later neural processing unit (NPU) products by Qualcomm. Hexagon is also
Qualcomm_Hexagon
Primitive cell in the reciprocal space lattice of crystals
K Middle of an edge joining two hexagonal faces L Center of a hexagonal face U Middle of an edge joining a hexagonal and a square face W Corner point
Brillouin_zone
Generalization of basis splines (B-splines) to multiple variables
non-Cartesian sampling lattices, and crystallographic lattices (root lattices) that include many information-theoretically optimal sampling lattices. Generally
Box_spline
States of matter for water as a solid
hydrogen-bonded hexagonal rings are also the mechanism that causes liquid water to be densest at 4 °C. Close to 0 °C, tiny hexagonal ice Ih-like lattices
Phases_of_ice
Ability of lipids to aggregate into a variety of structured phases
lamellar, hexagonal, and isotropic phases. Other techniques that are used and do offer definitive evidence of existence of lamellar and hexagonal phases
Lipid_polymorphism
Calcium carbonate mineral
crystal system with acicular crystal. Repeated twinning results in pseudo-hexagonal forms. Aragonite may be columnar or fibrous, occasionally in branching
Aragonite
Ordered arrangement of atoms, ions, or molecules in a crystalline material
symmetry of the crystal system. In monoclinic, trigonal, tetragonal, and hexagonal systems there is one unique axis (sometimes called the principal axis)
Crystal_structure
Crystalline materials consisting of a single layer of atoms
hexagonal honeycomb lattice structure with alternating double-bonds emerging from its sp2-bonded carbons, graphane, still maintaining the hexagonal structure
Single-layer_materials
Variety of beryl
less interference. The hexagonal crystal system is where aquamarine crystallizes. It forms prismatic crystals with a hexagonal cross-section. These crystals
Aquamarine_(gem)
Natural number
emirp. It forms a twin prime pair with 1031. 1035 = 32 × 5 × 23. It is a hexagonal number and the 45th triangular number. 1039 is a Chen prime and a Lucky
1000_(number)
Silica mineral, polymorph of quartz
a hexagonal structure. But cooling alters its hexagonal property. In the table, M, O, H, C, P, L and S stand for monoclinic, orthorhombic, hexagonal, centered
Tridymite
Species of wasp
360 mm (14 in) in diameter and 580 mm (23 in) in length. Nests are layered hexagonal combs covered by a mottled gray paper envelope. Bald-faced hornets create
Dolichovespula_maculata
Technique for reducing low-resolution image distortion
resolved by the recording (or sampling) device. This removal is done before (re)sampling at a lower resolution. When sampling is performed without removing
Spatial_anti-aliasing
2026 studio album
album in particular contains prominent voice sampling. "Prophecy at 1420 MHz" features altered samples of the voice of Islamic scholar Seyyed Hossein
Inferno (Boards of Canada album)
Inferno_(Boards_of_Canada_album)
Molybdenum disulfide mineral
slippage as well as cleavage planes. Molybdenite crystallizes in the hexagonal crystal system as the common polytype 2H and also in the trigonal system
Molybdenite
Special mathematical function defined as sin(x)/x
the sinc function for the hexagonal lattice is a function whose Fourier transform is the indicator function of the unit hexagon in the frequency space.
Sinc_function
{8,∞} {9,3}, {9,4}, {9,5} ... {9,∞} ... {∞,3}, {∞,4}, {∞,5} ... {∞,∞} A sampling: The tilings {p, ∞} have ideal vertices, on the edge of the Poincaré disk
List_of_regular_polytopes
Interference pattern
where a camera is sampling light, because the frequencies are not exactly the same and aligned perfectly together, beats (or samples) will align closely
Moiré_pattern
Chemical compound
metastable under standard conditions. The β form is believed to have a hexagonal crystal structure. Molten and gaseous white phosphorus are also composed
White_phosphorus
Materials made only out of carbon
denser form similar to diamond but retaining graphite's hexagonal crystal lattice. "Hexagonal diamond" has also been synthesized in the laboratory, by
Allotropes_of_carbon
Two dimensional hexagonal boron nitride (2D h-BN) is a material of comparable structure to graphene with potential applications in e.g. photonics., fuel
Synthesis of hexagonal boron nitride
Synthesis_of_hexagonal_boron_nitride
Isogonal polyhedron with regular faces
sphere: There are 12 fundamental triangles, visible in the faces of the hexagonal bipyramid and alternately colored triangles on a sphere: There are 16
Uniform_polyhedron
Optical phenomenon of the sky
Sun, particularly if the observer is at a high elevation or altitude. Hexagonal plate- and column-shaped ice crystals cause the phenomenon. Plate crystals
Halo_(optical_phenomenon)
form of the Bénard cell where the fluid will rise or fall in hexagonal cells creating hexagonal cloud structure. The capping inversion of the planetary boundary
Remote sensing atmospheric boundary layer
Remote_sensing_atmospheric_boundary_layer
Hexagonal lattice made of carbon atoms
hexagon-shaped grains. The hexagon grains were oriented in various lattice directions and the GBs consisted of only heptagon, pentagon, and hexagonal
Graphene
Chemical compounds containing the element lanthanum
white, strongly hygroscopic solid. At ordinary temperatures it adopts the hexagonal A-type rare-earth sesquioxide structure, characteristic of the largest
Lanthanum_compounds
Oxide of silicon
(2013). "Defects in bilayer silica and graphene: common trends in diverse hexagonal two-dimensional systems". Scientific Reports. 3 3482. Bibcode:2013NatSR
Silicon_dioxide
Tendency of crystalline materials to split along favored planes
the octahedron. In graphite, carbon atoms are contained in layers in a hexagonal pattern where the covalent bonds are shorter (and thus even stronger)
Cleavage_(crystal)
Second election of Donald Trump
discretized cartogram of the 2024 United States presidential election using hexagons Results by county, shaded by winner Results by county, shaded by winner's
2024 United States presidential election
2024_United_States_presidential_election
Chemical element with atomic number 99 (Es)
first characterized from microgram samples sized about 30 nanometers. Two other phases, monoclinic and hexagonal, are known for this oxide. The formation
Einsteinium
Naturally occurring mineral form of calcium apatite
chloride, producing fluorapatite or chlorapatite. It crystallizes in the hexagonal crystal system. Pure hydroxyapatite powder is white. Naturally occurring
Hydroxyapatite
Subgroup of phyllosilicate minerals within the trioctahedral mica group
Basal sections of biotite in thin section are typically approximately hexagonal in shape and usually appear isotropic under cross-polarized light. Biotite
Biotite
Chemical compounds
nine-coordinate and adopts the tysonite-type structure, PrCl3 and PrBr3 have the hexagonal UCl3 structure type, and PrI3 adopts the orthorhombic PuBr3 type. Praseodymium(III)
Praseodymium_compounds
Component of compound eyes of arthropods
Anisoptera dragonflies and some Sphingidae moths. Ommatidia are typically hexagonal in cross-section and approximately ten times longer than wide. The diameter
Ommatidium
Three-player variant of Japanese chess
terms of movement this was equivalent to a hexagon, and the modern form of sannin shogi is played on a hexagonal board, rather like the central portion of
Sannin_shogi
Scottish electronic music duo
different small musical and visual projects, while the band's collective "Hexagon Sun" began regular "Redmoon" nights at a ruin near their own studio in
Boards_of_Canada
Chemical compound
anhydrous material. Sodium peroxide crystallizes with hexagonal symmetry. Upon heating, the hexagonal form undergoes a transition into a phase of unknown
Sodium_peroxide
Funerary box for corpses
between "coffins" and "caskets", using "coffin" to refer to a tapered hexagonal or octagonal (also considered to be anthropoidal in shape) box and "casket"
Coffin
Iron(III) oxide-hydroxide named in honor to the poet Goethe
pyrite-type polymorph with or without losing hydrogen and an ultradense hexagonal structure. Goethite has the same crystal structure as diaspore, the analogous
Goethite
Silica-based ordered mesoporous material
a typical SBA-15 sample Demonstration of the hexagonal structure of SBA-15 Small angle x-ray scattering pattern of a SBA-15 sample (data from Haidar
Santa_Barbara_Amorphous-15
Megalithic site in West Java, Indonesia
andesite steps rising about 95 metres (312 ft). It is covered with massive hexagonal stone columns of volcanic origin. The Sundanese people consider the site
Gunung_Padang
Two-dimensional cellular automaton
three-dimensional square variations have been developed, as have two-dimensional hexagonal and triangular variations. A variant using aperiodic tiling grids has
Conway's_Game_of_Life
Chemical compound
mineral stilleite, named after Hans Stille. ZnSe is available in both hexagonal (wurtzite) and cubic (zincblende) polymorphs. In both cases, the Zn2+
Zinc_selenide
General purpose plastic explosive
based mostly on crystalline PETN. The versions 1AP and 2P are formed as hexagonal booster charges; a special assembly of PETN and wax inside the charge
Semtex
Baskerville's hexagonal chess: Earliest attempt at a strict hexagonal analog to chess. 83 cell hex board with four corners. Same as Gliński's Hexagonal Chess
List_of_chess_variants
Tabular arrangement of the chemical elements
and support the electronic placement. Solid helium crystallises in a hexagonal close-packed structure, which matches beryllium and magnesium in group
Periodic_table
Reusable superheavy-lift general-purpose launch vehicle
windward side is protected by a heat shield composed of eighteen thousand hexagonal black tiles that can withstand temperatures of 1,400 °C (2,600 °F). It
SpaceX_Starship
Character created by Michael Bond
written by Shirlie Roden and produced by Bill Kenwright opened at the Hexagon Theatre, Reading prior to a UK tour. In December 2023, it was announced
Paddington_Bear
Calcium carbonate mineral
two different sets of Miller indices are used to describe directions in hexagonal and rhombohedral crystals, including calcite crystals: three Miller indices
Calcite
Solid material whose physical properties are independent of orientation
optically isotropic, and hexagonal crystals to be optically anisotropic; Measurements of the optical properties of cubic and hexagonal CdSe confirm this understanding
Isotropic_solid
Smartphone electronics product line
such as Qualcomm's Oryon CPU branding, Adreno integrated graphics, and a Hexagon NPU specified by Qualcomm at up to 45 TOPS for on-device AI workloads across
List of Qualcomm Snapdragon systems on chips
List_of_Qualcomm_Snapdragon_systems_on_chips
Chemical element with atomic number 6 (C)
but in place of flat hexagonal cells only, some of the cells of which fullerenes are formed may be pentagons, nonplanar hexagons, or even heptagons of
Carbon
Statutory body in India
sugar and salt. Under the proposal, qualifying products would carry a red hexagon on a white square background positioned at the top left of the front of
Food Safety and Standards Authority of India
Food_Safety_and_Standards_Authority_of_India
Game related to chess
even saw some tournament play is Gliński's hexagonal chess. Władysław Gliński introduced his variant of hexagonal chess in 1936, which has been called "probably
Chess_variant
Analog graphical calculator
graphical calculators—such as intercept charts, trilinear diagrams, and hexagonal charts—are sometimes called nomograms. These devices do not meet the definition
Nomogram
Degree to which a material under stress irreversibly deforms before failure
centered cubic) structures are ductile only at high temperatures, and hcp (hexagonal closest packed) structures are often brittle over wide ranges of temperatures
Ductility
Localization of core PCP proteins in a tissue sample. Each hexagon represents a single cell.
Planar_cell_polarity
Feldspathoid mineral
some crystals with hexagonal morphology while doing a study of the cancrinite-group minerals. These crystals were in a rock sample they had collected
Farneseite
Board game designed by George S. Parker
Balbo's game Circular chess Cylinder chess Double chess Duell Grid chess Hexagonal chess (Cross chess, Masonic chess) Infinite chess Millennium 3D chess
Camelot_(board_game)
2002 studio album by Arthur Loves Plastic
Plastic Released September 14, 2002 Genre Electronica Length 47:50 Label Hexagon Records Producer Bev Stanton Arthur Loves Plastic album chronology Fixed
No_Nations,_No_Peoples
Digital watermark tracking code produced by many printers
reliability. For example, if the code consists of 8 × 16 dots in a square or hexagonal pattern, it spreads over a surface of about 4 cm2 (0.6 sq in) and appears
Printer_tracking_dots
1998 studio album by Boards of Canada
Records and in the United States by Matador. The album was produced at Hexagon Sun, the duo's personal recording studio in Pentland Hills, and continued
Music Has the Right to Children
Music_Has_the_Right_to_Children
Chemical compound
("low-chalcocite") has a complex structure with 96 copper atoms in the unit cell. The hexagonal form, stable above 104 °C (219 °F),[page needed] has 24 crystallographically
Copper(I)_sulfide
Phase I occurs at low temperatures and pressures, and consists of a hexagonal close-packed array of freely rotating H2 molecules. Upon increasing the
Solid_hydrogen
Allotrope of carbon
n three-coordinate carbon atoms and having 12 pentagonal and (n/2-10) hexagonal faces, where n ≥ 20." The icosahedral C 60H 60 cage was mentioned in 1965
Fullerene
Mineral group, calcium phosphate
energetic considerations. Structural and thermodynamic properties of crystal hexagonal calcium apatites, Ca10(PO4)6(X)2 (X= OH, F, Cl, Br), have been investigated
Apatite
Phosphate mineral
with significant amounts of the other. Fluorapatite crystallizes in a hexagonal crystal system. It is often combined as a solid solution with hydroxylapatite
Fluorapatite
Reusable spacecraft under development by SpaceX
windward side is protected by a heat shield composed of eighteen thousand hexagonal black tiles that can withstand temperatures of 1,400 °C (2,600 °F). It
SpaceX_Starship_(spacecraft)
Green gem-quality mineral
system. In an alternative view, the atomic structure can be described as a hexagonal, close-packed array of oxygen ions with half of the octahedral sites occupied
Peridot
Chemical compound
There are two main disadvantages to this scintillator; one being the hexagonal crystal structure, which emits only optical translucency and low external
Gadolinium_oxysulfide
Family of basal chelicerates
new study utilized both new and more complete sequencing data while also sampling a larger number of taxa. Below is a cladogram showing the internal relationships
Horseshoe_crab
Type of firearm propellant
balls for use in 20-inch (51 cm) Rodman guns. In 1875 DuPont introduced Hexagonal powder for large artillery, which was pressed using shaped plates with
Gunpowder
Danish pharmaceutical company
for around $800 million. In March 2020, Novo volunteers started testing samples for SARS-CoV-2 with RT-qPCR equipment in the ongoing coronavirus pandemic
Novo_(company)
American corporation focused on life science research
failed equipment. Perkin-Elmer built the optical systems for the KH-9 Hexagon series of spy satellites at a facility in Danbury, Connecticut. Spaceflight
PerkinElmer
Chemical compound of hydrogen and oxygen
ice on the surface of Earth is ice Ih, a phase that forms crystals with hexagonal symmetry. Another with cubic crystalline symmetry, ice Ic, can occur in
Water
Type of middle-altitude cloud
the sampling of one cloud, scientists noted a halo while flying near the top of the cloud, which indicated that the ice crystals were hexagonal near
Altostratus_cloud
Uranium oxyanion associated with a monovalent or divalent cation
stoichiometry, U 2×O 6×1/3 O = UO4. The structure has been described as a hexagonal layer structure. It can also viewed as a distorted fluorite structure
Uranate
Iron ores — Increment sampling — Manual method [Withdrawn: replaced with ISO 3082] ISO 3082:2017 Iron ores – Sampling and sample preparation procedures
List of ISO standards 3000–4999
List_of_ISO_standards_3000–4999
First election of Donald Trump
showed. Using wider, more geographically and linguistically representative sampling, Latino Decisions concluded that Clinton won 79% of Hispanic voters (also
2016 United States presidential election
2016_United_States_presidential_election
Measure of temperature relative to absolute zero
two regular crystal lattices found in nature that have this density are hexagonal close packed (HCP) and face-centered cubic (FCC). These regular lattices
Thermodynamic_temperature
Integrated circuit device
OTAs (operational transconductance amplifiers) and proposed its use in a hexagonal local interconnection architecture. It did not require a routing network
Field-programmable analog array
Field-programmable_analog_array
Electronic display device for displaying digits and some letters
the segments are of nearly uniform shape and size (usually elongated hexagons, though trapezoids and rectangles can also be used); though in the case
Segment_display
Natural phenomenon that hot water freezes faster than cold
small strongly bonded clusters facilitates in turn the nucleation of hexagonal ice when warm water is rapidly cooled down. The authors used vibrational
Mpemba_effect
Mathematical element in composite engineering
achieved in a composite is 90.8% if the fibers are in a unidirectional hexagonal close packed configuration. Realistically the highest fiber volume ratio
Fiber_volume_ratio
Hydrocarbon compound (C6H6)
The benzene molecule is composed of six carbon atoms joined in a planar hexagonal ring with one hydrogen atom attached to each. As it contains only carbon
Benzene
Chemical element with atomic number 98 (Cf)
limited. A double hexagonal close-packed (dhcp) unit cell consists of two hexagonal close-packed structures that share a common hexagonal plane, giving dhcp
Californium
Atmospheric optical phenomenon
reflection off a side face inclined at 60° to the exit face. Near triangular hexagonal crystals with three alternate side faces much shorter than the others
Kern_arc
Chemical compound
of P4O10. Weak van der Waals forces hold these molecules together in a hexagonal lattice, however, in spite of the high symmetry of the molecules, the
Phosphorus_pentoxide
Theory of career development & vocational choice created by John L. Holland
some correlation with each other. It is called the RIASEC model or the hexagonal model because the initial letter of the region is equal to R-I-A-S-E-C
Holland_Codes
Natural number
smallest number >1 to be a Triangular number, Pentagonal number, and a Hexagonal number. 40804 = palindromic square 41041 = Carmichael number 41472 = 3-smooth
40,000
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HEXAGONAL SAMPLING
HEXAGONAL SAMPLING
HEXAGONAL SAMPLING
HEXAGONAL SAMPLING
HEXAGONAL SAMPLING
HEXAGONAL SAMPLING
HEXAGONAL SAMPLING
HEXAGONAL SAMPLING
HEXAGONAL SAMPLING
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