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Neuron in the cerebral cortex used for visual processing
A hypercomplex cell (currently called an end-stopped cell) is a type of visual processing neuron in the mammalian cerebral cortex. Initially discovered
Hypercomplex_cell
Topics referred to by the same term
Hypercomplex may refer to: Hypercomplex cell Hypercomplex analysis Hypercomplex manifold Hypercomplex number This disambiguation page lists articles associated
Hypercomplex
Delimited medium where some stimuli can evoke neuronal responses
fields of cells in the visual cortex into simple cells, complex cells, and hypercomplex cells. Simple cell receptive fields are elongated, for example with
Receptive_field
Hypercomplex number system
triginta 'thirty' + duo 'two' + the suffix -nion, which is used for hypercomplex number systems. Other names include 32-ion, 32-nion, 25-ion, and 25-nion
Trigintaduonion
Canadian Computer Scientist (born 1952)
Vision. Coral Gables, Florida, USA. pp. 539–544. "Cyclodisparity" "Hypercomplex cell" "Biological object recognition" "Visual search" "Visual salience"
John_Tsotsos
Generalization of a rectangle for higher dimensions
geometry, a hyperrectangle (also called a box, hyperbox, k {\displaystyle k} -cell or orthotope), is the generalization of a rectangle (a plane figure) and
Hyperrectangle
Four-dimensional number system
Quaternion Association, devoted to the study of quaternions and other hypercomplex number systems. From the mid-1880s, quaternions began to be displaced
Quaternion
Multi-dimensional generalization of triangle
3-dimensional simplex is a tetrahedron, and a 4-dimensional simplex is a 5-cell. Specifically, a k-simplex is a k-dimensional polytope that is the convex
Simplex
Geometric object with flat sides
In 4 dimensions, the 24-cell, with Schläfli symbol {3,4,3}. Also the great 120-cell {5,5/2,5} and grand stellated 120-cell {5/2,5,5/2}. Polygons and
Polytope
Involutive change of basis in linear algebra
symmetric, involutive, linear operation on 2m real numbers (or complex, or hypercomplex numbers, although the Hadamard matrices themselves are purely real).
Hadamard_transform
Geometric space with five dimensions
has half the vertices of the 5-cube (16), bounded by alternating 5-cell and 16-cell hypercells. The expanded or stericated 5-simplex is the vertex figure
Five-dimensional_space
Geometric space with four dimensions
Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex numbers Cayley–Dickson construction Dimensions by number Zero One Two
Four-dimensional_space
Regular polytope dual to the hypercube in any number of dimensions
cross-polytope is a regular octahedron, and a 4-dimensional cross-polytope is a 16-cell. Its facets are simplexes of the previous dimension, while the cross-polytope's
Cross-polytope
Mathematical space with two coordinates
Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex numbers Cayley–Dickson construction Dimensions by number Zero One Two
Two-dimensional_space
Convex polytope, the n-dimensional analogue of a square and a cube
octahedron, In four dimensions we obtain the compound of tesseract and 16-cell. The graph of the n-hypercube's edges is isomorphic to the Hasse diagram
Hypercube
Branch of mathematics
quaternion difference p – q also produces a segment equipollent to pq. Other hypercomplex number systems also used the idea of a linear space with a basis. Arthur
Linear_algebra
Branch of mathematics
Ring theory Universal Analysis Calculus Real analysis Complex analysis Hypercomplex analysis Differential equations Functional analysis Harmonic analysis
Geometry
Polytope constructed from alternation of a hypercube
triangular faces) Cells: Dn,3 = Cn,3 + 23 Cn,4 (tetrahedra from original cells plus new ones) Hypercells: Dn,4 = Cn,4 + 24 Cn,5 (16-cells and 5-cells respectively)
Demihypercube
Application of quantum mechanics and chemistry to biology
balance: A quantum information-based chromatic adaptation transform [hypercomplex signal and image processing]". IEEE Signal Processing Magazine. 41 (2):
Quantum_biology
Topological space of dimension zero
Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex numbers Cayley–Dickson construction Dimensions by number Zero One Two
Zero-dimensional_space
Geometric model of the planar projection of the physical universe
Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex numbers Cayley–Dickson construction Dimensions by number Zero One Two
Euclidean_plane
Space with one dimension
Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex numbers Cayley–Dickson construction Dimensions by number Zero One Two
One-dimensional_space
Geometric model of the physical space
came with William Rowan Hamilton's development of the quaternions, a hypercomplex number system. For this purpose, Hamilton coined the terms scalar and
Three-dimensional_space
Area of mathematics
earthquake prediction, molecular biology and inquiries into the nature of living cells themselves. Control theory is an interdisciplinary branch of engineering
Dynamical_systems_theory
Branch of mathematics
Ring theory Universal Analysis Calculus Real analysis Complex analysis Hypercomplex analysis Differential equations Functional analysis Harmonic analysis
Algebraic_geometry
Hungarian and American mathematician and physicist (1903–1957)
"the cold, wet, rain-wet streets of Göttingen" after class discussing hypercomplex number systems and their representations. Von Neumann's habilitation
John_von_Neumann
Fundamental object of geometry
Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex numbers Cayley–Dickson construction Dimensions by number Zero One Two
Point_(geometry)
Completion of the usual space with "points at infinity"
complex structure, as Pn(R) can be obtained from Pn−1(R) by attaching an n-cell with the quotient projection Sn−1 → Pn−1(R) as the attaching map. Originally
Projective_space
N-dimensional generalisation of a pyramid
(3-simplex, base triangle) tetrahedron to (4-simplex, base tetrahedron) 5-cell, etc. Their extended f-vector follows Pascal triangle, like coefficients
Hyperpyramid
Property of a mathematical space
Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex numbers Cayley–Dickson construction Dimensions by number Zero One Two
Dimension
Braille code for mathematics and science
mathematical and scientific notation linearly using standard six-dot Braille cells for tactile reading by the visually impaired. The code was developed by
Nemeth_Braille
Branch of algebraic geometry
Ring theory Universal Analysis Calculus Real analysis Complex analysis Hypercomplex analysis Differential equations Functional analysis Harmonic analysis
Arithmetic_geometry
Geometric system with a finite number of points
Ring theory Universal Analysis Calculus Real analysis Complex analysis Hypercomplex analysis Differential equations Functional analysis Harmonic analysis
Finite_geometry
Mathematics of varieties with integer coordinates
Ring theory Universal Analysis Calculus Real analysis Complex analysis Hypercomplex analysis Differential equations Functional analysis Harmonic analysis
Diophantine_geometry
Branch of mathematics
Arithmetization of analysis Constructive analysis History of calculus Hypercomplex analysis Multiple rule-based problems Multivariable calculus Paraconsistent
Mathematical_analysis
Concept in mathematics
article. MacMahon Master theorem Richardson, Archibald Read (1926). "Hypercomplex determinants". Messenger of Mathematics. 55: 145–152. Richardson, Archibald
Quasideterminant
cryptographer, mathematician, and professor of acoustics Irene Sabadini, Italian hypercomplex analyst Flora Sadler (1912–2000), Scottish mathematician and astronomer
List_of_women_in_mathematics
and led to a subsequent analytical theory; they also began the use of hypercomplex numbers. Karl Weierstrass and others carried out the arithmetization
History_of_science
HYPERCOMPLEX CELL
HYPERCOMPLEX CELL
Surname or Lastname
English
English : topographic name for someone who lived by a hermit’s cell, from Middle English (h)ermite ‘hermit’ + stede ‘place’.William Armistead (born 1610, died before 1660) brought the name from Yorkshire, England, to VA in 1635.
Surname or Lastname
English
English : variant of Kilner.German, Dutch, and Jewish (Ashkenazic) : variant spelling of Kellner, in any of its senses: ‘cellarman’, ‘steward’, ‘overseer’, or ‘waiter’. In this spelling it is also found as a Czech name.Jewish (Ashkenazic) : occupational name from modern German Kellner or Yiddish kelner ‘waiter’.
Surname or Lastname
English
English : variant of Sell 1.German : from Middle High German, Middle Low German selle ‘friend’, ‘companion’.French : habitational name from any of the various places called Selle, Selles, or La Selle, named with Latin cella ‘cell’, ‘cot’, ‘hut’, ‘stall’.Dutch (Van Selle) : habitational name for someone from Zelle in Herenthout, Antwerp.A Selle (or De Selle) from the Burgundy region of France was documented in Montreal in 1729.
Male
Welsh
Variant spelling of Welsh Caradog, CARADOC means "dearly loved." In Arthurian legend, this is the name of a Knight of the Round Table. He was husband to Tegau Eurfon (their love was called one of the three surpassing bonds of Britain). He was Arthur's chief elder at Celliwig, and had a horse named Luagor ("host-splitter"). Sir Caradoc was also known as Briefbras ("short arm"), the French translation of Welsh freichfras, meaning "strong arm."
Surname or Lastname
English
English : patronymic from Butter 1.English : occupational name for a servant working in a wine cellar, Norman French boterie (see Buttery), with the Middle English genitive -s.German : variant of Butter 2.
Girl/Female
Australian, Danish, German, Greek, Swedish
Heavenly; Moon
Surname or Lastname
English (of Norman origin) and northern French
English (of Norman origin) and northern French : nickname for a bald man, from Anglo-Norman French cauf ‘bald’. Compare Chaffee.English : habitational name from a place in East Yorkshire called Cave, apparently from a river name derived from Old English cÄf ‘swift’.French : metonymic occupational name for someone employed in or in charge of the wine cellars of a great house, from Old French cave ‘cave’, ‘cellar’ (Latin cavea, a derivative of cavus ‘hollow’).French, possibly also English : topographic name for someone who lived in or near a cave, from the same word as in 3 in an older sense.
Surname or Lastname
German
German : from Middle High German kellaere ‘cellarman’, ‘cellar master’ (Latin cellarius, denoting the keeper of the cella ‘store chamber’, ‘pantry’). Hence an occupational name for the overseer of the stores, accounts, or household in general in, for example, a monastery or castle. Kellers were important as trusted stewards in a great household, and in some cases were promoted to ministerial rank. The surname is widespread throughout central Europe.English : either an occupational name for a maker of caps or cauls, from Middle English kellere, or an occupational name for an executioner, from Old English cwellere.Irish : reduced form of Kelleher.Scottish : variant of Keillor.
Male
Gaelic
Old Gaelic occupational name transferred to forename use, derived from the word cealloir, CEALLAIR means "superior of a church cell."Â
Surname or Lastname
English (mainly East Anglia)
English (mainly East Anglia) : habitational name from Lyng in Norfolk, so named from Old English hlinc ‘hillside’, or from either of two places in Norfolk and Lincolnshire named Ling, from Old Norse lyng ‘ling’, ‘heather’. There is also a Lyng in Somerset, so named from Old English lengen ‘long place’.German : variant of Link.Chinese : from a word meaning ‘ice’. In ancient times, the imperial palace was able to enjoy ice in the summer by storing winter ice in a cellar, entrusting its care to an official called the iceman. This post was once filled during the Zhou dynasty (1122–221 bc) by a descendant of Kang Shu, the eighth son of Wen Wang, who had been granted the state of Wei soon after the establishment of the Zhou dynasty. Descendants of this particular iceman adopted the word for ice, ling, as their surname.
Male
Scottish
Scottish contracted form of Gaelic Ceallair, EALLAIR means "superior of a church cell."
Surname or Lastname
Altered spelling of German Bayer or Beyer.German
Altered spelling of German Bayer or Beyer.German : habitational name for someone from Boye (near Celle-Hannover).English : variant of Bowyer.Danish : habitational name from a place so named. The surname is also found in Norway and Sweden, probably from the same source.
Surname or Lastname
English (mainly Kent)
English (mainly Kent) : nickname from Middle English pÄ“, pÄ â€˜peacock’ (see Peacock).English : from an early medieval personal name, apparently masculine, but of uncertain origin; perhaps derived from 1, or, as Reaney suggests, a survival of Old English Pæga.French : habitational name from places called Le Pay, in Indre, Rhône, and Vendée. This may also be a variant of pays ‘region’, ‘country’, used to denote a local person.Irish (County Kilkenny) : apparently from the Old English female personal name Pega, taken to Ireland (Kilkenny) by English settlers. Peakirk in Northamptonshire, England, is named for St. Pega (died c. 719), who reputedly founded a cell there.
Surname or Lastname
English and Scottish
English and Scottish : topographic name, a variant of Sell 1.English and Scottish : occupational name for a saddler, from Anglo-Norman French seller (Old French sellier, Latin sellarius, a derivative of sella ‘seat’, ‘saddle’).English and Scottish : metonymic occupational name for someone employed in the cellars of a great house or monastery, from Anglo-Norman French celler ‘cellar’ (Old French cellier), or a reduction of the Middle English agent derivative cellerer.English and Scottish : occupational name for a tradesman or merchant, from an agent derivative of Middle English sell(en) ‘to sell’ (Old English sellan ‘to hand over, deliver’).German : probably a habitational name from a place named Sella near Hoyerswerda.
Male
Scottish
Modern form of Scottish Eallair, ELLAR means "superior of a church cell."
HYPERCOMPLEX CELL
HYPERCOMPLEX CELL
Female
English
 Short form of Italian Alessandra, SANDRA means "defender of mankind."
Female
Bulgarian
, inestimable.
Boy/Male
Indian, Punjabi, Sikh
Protector of Beauty
Male
Egyptian
, a priest of the deity Anhur.
Girl/Female
Muslim
Noble, Highborn
Boy/Male
Hindu, Indian
Joy of Victory
Boy/Male
English
Abreviation of Jarel, Jarek, or Jared, Jareh.
Boy/Male
Christian & English(British/American/Australian)
Fox
Female
Celtic
, carnage.
Boy/Male
Hindu
Defender of mankind
HYPERCOMPLEX CELL
HYPERCOMPLEX CELL
HYPERCOMPLEX CELL
HYPERCOMPLEX CELL
HYPERCOMPLEX CELL
v. t.
To place or inclose in a cell.
pl.
of Cello
n.
Same as Cellarer.
a.
Consisting of, or containing, cells.
n.
Chare for storage in a cellar.
pl.
of Cello
n.
An inflammantion of the cellular or areolar tissue, esp. of that lying immediately beneath the skin.
n.
A small cell.
n.
Same as Cella.
n.
A genus of delicate branching corals, made up of minute cells, belonging to the Bryozoa.
a.
Bearing or producing cells.
a.
Containing a cell or cells.
a.
Bearing or producing little cells.
imp. & p. p.
of Cell
a.
Consisting of, or containing, cells; of or pertaining to a cell or cells.
a.
Cellular.
n.
The space or storerooms of a cellar; a cellar.