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Waveform seen during stage 2 NREM sleep
A K-complex is a waveform that may be seen on an electroencephalogram (EEG). It occurs during stage 2 NREM sleep. It is the "largest event in healthy
K-complex
Type of mathematical set
simplicial complex, which loosely speaking is a simplicial complex without an associated geometry. A simplicial k-complex K {\displaystyle {\mathcal {K}}} is
Simplicial_complex
Matrix equal to its conjugate-transpose
with complex-valued entries that is equal to its own conjugate transpose. That is, if the element in the j {\displaystyle j} -th row and k {\displaystyle
Hermitian_matrix
Type of topological space
smaller complex). The C in CW stands for "closure-finite", and the W for "weak" topology. A CW complex is the union X = ∪ k X k {\displaystyle X=\cup _{k}X_{k}}
CW_complex
Tool in homological algebra
Chain complexes of K {\displaystyle K} -modules with chain maps as morphisms form a category C h K {\displaystyle \mathbf {Ch} _{K}} , where K {\displaystyle
Chain_complex
Sports venue of the University of Arkansas–Pine Bluff
NCAA Division I basketball arenas "K. L. Johnson Complex". stadiumsusa.com. Retrieved May 20, 2017. "Johnson Complex". uapblionsroar.com. Retrieved May
K._L._Johnson_Complex
Connected non-abelian Lie group lacking nontrivial connected normal subgroups
construct a new group G ~ K {\displaystyle {\tilde {G}}^{K}} with K {\displaystyle K} in its center. Now any (real or complex) Lie group can be obtained
Simple_Lie_group
Formal linear combination in a cell complex
topology, a k-chain is a formal linear combination of the k-cells in a cell complex. In simplicial complexes (respectively, cubical complexes), k-chains are
Chain_(algebraic_topology)
Type of function in mathematics
{\displaystyle \left|{\frac {d^{k}f}{dx^{k}}}(x)\right|\leq C^{k+1}k!} Complex analytic functions are exactly equivalent to holomorphic functions, and
Analytic_function
Mathematical function, denoted exp(x) or e^x
} The complex exponential function is the sum of the series e z = ∑ k = 0 ∞ z k k ! . {\displaystyle e^{z}=\sum _{k=0}^{\infty }{\frac {z^{k}}{k!}}.} This
Exponential_function
Type of mathematical functions
theory of functions of several complex variables is the branch of mathematics dealing with functions defined on the complex coordinate space C n {\displaystyle
Function of several complex variables
Function_of_several_complex_variables
"Algebraic K-Theory and Manifold Topology (Math 281), Lecture 19: K-Theory of Ring Spectra" (PDF). "Determinantal identities for perfect complexes". MathOverflow
Perfect_complex
Construction in homological algebra
Koszul complex is a tensor product: if s = ( s 1 , … , s r ) {\displaystyle s=(s_{1},\dots ,s_{r})} , then K s ≃ K s 1 ⊗ ⋯ ⊗ K s r {\displaystyle K_{s}\
Koszul_complex
Number of subsets of a given size
for ( n k ) {\displaystyle {\tbinom {n}{k}}} hold for all values of n and k such that 1 ≤ k ≤ n: n k k k ≤ ( n k ) ≤ n k k ! < ( n ⋅ e k ) k . {\displaystyle
Binomial_coefficient
Number with a real and an imaginary part
In mathematics, a complex number is a number of the form a + b i {\displaystyle a+bi} , where a and b are real numbers, and i is the imaginary unit
Complex_number
Extension of the factorial function
) n = ∑ k = 0 n n ! k ! ( n − k ) ! z k = ∑ k = 0 n ( n k ) z k . {\displaystyle (1+z)^{n}=\sum _{k=0}^{n}{\frac {n!}{k!(n-k)!}}z^{k}=\sum _{k=0}^{n}{\binom
Gamma_function
Krush-EX, Khaos, or K-1 Amateur events. Legend K-1 World Grand Prix (FEG / K-1 GHL; 1993–2014) K-1 World MAX (FEG / K-1 GHL; 1993–2014) K-1 World GP Japan
List_of_K-1_events
Theory of a class of elliptic curves
{\displaystyle E} is an algebraic number – lying in K {\displaystyle K} – if E {\displaystyle E} has complex multiplication. The ring of endomorphisms of an
Complex_multiplication
Psychological term
Ophelia complex is the term used by Gaston Bachelard to refer to the links between femininity, liquids, and drowning which he saw as symbolised in the
Ophelia_complex
Brown–Peterson cohomology or Morava K-theory, that are easier to compute. The generalized homology and cohomology complex cobordism theories were introduced
Complex_cobordism
Mental disorder associated with trauma
Complex post-traumatic stress disorder (C-PTSD, CPTSD, or cPTSD) is a stress-related mental disorder generally occurring in response to complex traumas:
Complex post-traumatic stress disorder
Complex_post-traumatic_stress_disorder
Apartment building complex in Chicago, Illinois, US
Park, on the South Side of Chicago, Illinois. The complex was built from 1950 to 1955. Architect Henry K. Holsman, who planned several of Chicago's affordable
Parkway_Garden_Homes
Chinese/Pakistani jet trainer aircraft
(AMF), Pakistan Aeronautical Complex. The latest export variant is the K-8P version, which is operated by the PAF. The K-8P has an advanced avionics package
Hongdu_JL-8
Logarithm of a complex number
k\right)} for integers k {\displaystyle k} . These logarithms are equally spaced along a vertical line in the complex plane. A complex-valued function log
Complex_logarithm
Attribute of a mathematical function
In mathematics, more specifically complex analysis, the residue of a function at a point of its domain is a complex number proportional to the contour
Residue_(complex_analysis)
Differential form on a manifold which is permitted to have complex coefficients
desirable decomposition that the forms admit. On a complex manifold, for instance, any complex k-form can be decomposed uniquely into a sum of so-called
Complex_differential_form
Brain cell involved in visual processing
Complex cells can be found in the primary visual cortex (V1), the secondary visual cortex (V2), and Brodmann area 19 (V3). Like a simple cell, a complex
Complex_cell
especially topology, a Poincaré complex (named after the mathematician Henri Poincaré) is an abstraction of the singular chain complex of a closed, orientable
Poincaré_complex
Study of complex manifolds and several complex variables
complex geometry is the study of geometric structures and constructions arising out of, or described by, the complex numbers. In particular, complex geometry
Complex_geometry
graph of G. Any presentation complex for G is the 2-skeleton of an Eilenberg–MacLane space K ( G , 1 ) {\displaystyle K(G,1)} . Let G = Z 2 {\displaystyle
Presentation_complex
Roots of an algebraic element's minimal polynomial
algebraic element α, over a field extension L/K, are the roots of the minimal polynomial pK,α(x) of α over K. Conjugate elements are commonly called conjugates
Conjugate element (field theory)
Conjugate_element_(field_theory)
Tennis complex in New Delhi, India
R. K. Khanna Tennis Complex is a tennis stadium in New Delhi, India. It has a centre court, six match courts and six warm-up courts. It has a capacity
R._K._Khanna_Tennis_Complex
British author (born 1965)
(/ˈroʊlɪŋ/ ROH-ling; born 31 July 1965), better known by her pen name J. K. Rowling, is a British author, philanthropist, producer, and screenwriter
J._K._Rowling
Method of constructing instanton solutions
following data: complex vector spaces V and W of dimension k and N, k × k complex matrices B1, B2, a k × N complex matrix I and a N × k complex matrix J, a
ADHM_construction
Topological space formed from distances
In topology, the Vietoris–Rips complex, also called the Vietoris complex or Rips complex, is a way of forming a topological space from distances in a
Vietoris–Rips_complex
Concept in complex analysis
In the mathematical discipline of complex analysis, the analytic capacity of a compact subset K of the complex plane is a number that denotes "how big"
Analytic_capacity
Multi-dimensional generalization of triangle
for }}i=0,\dots ,k\right\}.} In topology and combinatorics, it is common to "glue together" simplices to form a simplicial complex. The geometric simplex
Simplex
independence complex of a graph is a mathematical object describing the independent sets of the graph. Formally, the independence complex of an undirected
Independence_complex
Protein-coding gene in the species Homo sapiens
Vitamin K epOxide Reductase Complex subunit 1 (VKORC) is an enzyme that in humans is encoded by the VKORC1 gene. This enzymatic protein complex is responsible
VKORC1
Mathematical function
has an additional complex parameter β {\displaystyle \beta } , and may be defined by the series E α , β ( z ) = ∑ k = 0 ∞ z k Γ ( α k + β ) , {\displaystyle
Mittag-Leffler_function
Limit of roots of sequence of functions
In mathematics and in particular the field of complex analysis, Hurwitz's theorem is a theorem associating the zeroes of a sequence of holomorphic, compact
Hurwitz's theorem (complex analysis)
Hurwitz's_theorem_(complex_analysis)
Generalization of a polytope in real space
flats) of a complex unitary space V of dimension n is a regular complex polytope if it meets the following conditions: for every −1 ≤ i < j < k ≤ n, if F
Complex_polytope
Explosion of a US ICBM in Arkansas
LGM-25C Titan II intercontinental ballistic missile (ICBM) at Missile Complex 374-7 in rural Arkansas. The incident began with a fuel leak at 6:30 p
1980 Damascus Titan missile explosion
1980_Damascus_Titan_missile_explosion
Genre of sexualized young or young-looking male characters
Shotacon (ショタコン, shotakon), abbreviated from Shōtarō complex (正太郎コンプレックス, shōtarō konpurekkusu), refers to the attraction to young (or young-looking)
Shotacon
American science fiction author (1928–1982)
Philip K. Dick at LibriVox (public domain audiobooks) Philip K. Dick at IMDb Philip K. Dick at the Internet Speculative Fiction Database Philip K. Dick
Philip_K._Dick
Mathematical object
simplicial complex (ASC) K a topological space | K | {\displaystyle |K|} , called its geometric realization. There are several ways to define | K | {\displaystyle
Abstract_simplicial_complex
Theorem in complex analysis
proved it in 1885. It states the following: Denoting by C the set of complex numbers, let K be a closed subset of C ∪ { ∞ } {\displaystyle \mathbb {C} \cup
Runge's_theorem
Let K {\displaystyle K} be an abstract simplicial complex. Suppose that τ , σ {\displaystyle \tau ,\sigma } are two simplices of K {\displaystyle K} such
Collapse_(topology)
Mathematical problem in complex analysis, disproved in 2026
in the mathematical field of complex analysis first posed by Stephen Smale in 1981. The problem asks: For a given complex polynomial P {\displaystyle P}
Mean_value_problem
the ring of stable equivalence classes of complex vector bundles over X. Bott periodicity implies that the K-groups have period 2. Spectrum: KSp Coefficient
List_of_cohomology_theories
Circle with radius of one
additional examples. In the complex plane, numbers of magnitude one are called the unit complex numbers. This is the set of complex numbers z such that | z
Unit_circle
Term in algebraic geometry
analog of a proper map between complex analytic spaces. Some authors call a proper variety over a field k {\displaystyle k} a complete variety. For example
Proper_morphism
Hallucinations primarily involving the sense of sight
including schizophrenia and schizoaffective disorder. Conditions causing complex visual hallucinations include schizophrenia, Charles Bonnet syndrome, migraine
Visual_hallucination
Concept in mathematics
In mathematics, the K-function, typically denoted K(z), is a generalization of the hyperfactorial to complex numbers, similar to the generalization of
K-function
Degree of differentiability of a function or map
classes of differentiable manifolds. For complex-valued functions, one may still speak of C k {\displaystyle C^{k}} or C ∞ {\displaystyle C^{\infty }} smoothness
Smoothness
the origin with the singular, complex hypersurface x 1 k 1 + ⋯ + x n k n = 0 {\displaystyle x_{1}^{k_{1}}+\cdots +x_{n}^{k_{n}}=0} studied by Frédéric Pham (1965)
Brieskorn_manifold
Generalization of a complex manifold that allows the use of singularities
{\displaystyle U} of some complex affine space C n {\displaystyle \mathbb {C} ^{n}} , and fix finitely many holomorphic functions f 1 , … , f k {\displaystyle f_{1}
Complex_analytic_variety
Indian cricketer (1941–2011)
Mohammad Mansoor Ali Khan Pataudi (also known as Mansur Ali Khan or M. A. K. Pataudi; 5 January 1941 – 22 September 2011; nicknamed Tiger Pataudi) was
Mansoor_Ali_Khan_Pataudi
Technique in digital signal processing
of K {\displaystyle K} has complexity O ( K N M ) {\displaystyle O(KNM)} . To compute a single DFT bin X ( f ) {\displaystyle X(f)} for a complex input
Goertzel_algorithm
Positional numeral system
∑ k ≥ 1 x k ( i − 1 ) − k ↦ ∑ k ≥ 1 x k b − k {\displaystyle \textstyle \sum _{k\geq 1}x_{k}(\mathrm {i} -1)^{-k}\mapsto \sum _{k\geq 1}x_{k}b^{-k}} with
Complex-base_system
In mathematics, a cubical complex (also called cubical set and Cartesian complex) is a set composed of points, line segments, squares, cubes, and their
Cubical_complex
Algebraic equation on which the solution of a differential equation depends
real or complex, as well as distinct or repeated. If a characteristic equation has parts with distinct real roots, h repeated roots, or k complex roots
Characteristic equation (calculus)
Characteristic_equation_(calculus)
Organic compound that consists only of carbon, hydrogen, and oxygen
per gram for simple sugars, and 3.57 to 4.12 kilocalories per gram for complex carbohydrate in most other foods. Relatively high levels of carbohydrate
Carbohydrate
Multivalued function in mathematics
k {\displaystyle k} there is one branch, denoted by W k ( z ) {\displaystyle W_{k}\left(z\right)} , which is a complex-valued function of one complex
Lambert_W_function
Theorem about zeros of holomorphic functions
any two complex-valued functions f and g holomorphic inside some region K {\displaystyle K} with closed contour ∂ K {\displaystyle \partial K} , if |g(z)|
Rouché's_theorem
American author (1929–2018)
"Ursula K. Le Guin". The Future is Female. Library of America. Retrieved January 7, 2024. Brown, Jeremy K. (November 2013). "Timeline". Ursula K. Le Guin
Ursula_K._Le_Guin
General-purpose programming language
attributes. Functionality is minimized in the core language, with relatively complex features such as I/O, string manipulation, and mathematical functions being
C_(programming_language)
Unproven mathematical hypothesis
a finite contractible 2-dimensional CW complex K {\displaystyle K} , the space K × [ 0 , 1 ] {\displaystyle K\times [0,1]} is collapsible. It can nowadays
Zeeman_conjecture
Additive category in homological algebra
In homological algebra in mathematics, the homotopy category K(A) of chain complexes in an additive category A is a framework for working with chain homotopies
Homotopy category of chain complexes
Homotopy_category_of_chain_complexes
Theorem in functional analysis
there is a universal constant K G {\displaystyle K_{G}} with the following property. If Mij is an n × n (real or complex) matrix with | ∑ i , j M i j s
Grothendieck_inequality
Michael Walzer
Complex equality is a theory of justice outlined by Michael Walzer in his 1983 work Spheres of Justice. It is considered innovative because of its emphasis
Complex_equality
Concept in probability theory and statistics
of a linear combination of complex random variables may be calculated using the following formula: Var [ ∑ k = 1 N a k Z k ] = ∑ i = 1 N ∑ j = 1 N a
Complex_random_variable
unprofitable. Brueckner, Hannes K.; Rex, D.C. (1980). "K-A and Rb-Sr geochronology and Sr isotopic study of the Alnö alkaline complex, northeastern Sweden". Lithos
Alnö_Complex
Concept in mathematics
\mathbb {R} ),} with complex coefficients c 0 = a 0 {\displaystyle c_{0}=a_{0}} and c k = 1 2 ( a k − b k i ) , c − k = 1 2 ( a k + b k i ) , {\displaystyle
Trigonometric_polynomial
both this page (A to K) and the remaining games from L to Z. 0–9 A B C D E F G H I J K Games list (L–Z) Top 0–9 A B C D E F G H I J K Games list (L–Z) List
List of PlayStation 2 games (A–K)
List_of_PlayStation_2_games_(A–K)
Protein found in humans
MG, Brömme D (February 1997). "Crystal structure of human cathepsin K complexed with a potent inhibitor". Nature Structural Biology. 4 (2): 105–109.
Cathepsin_K
Group of buildings in New York City
Street to the north, and the East River to the east. Completed in 1952, the complex consists of several structures, including the Secretariat, Conference,
Headquarters of the United Nations
Headquarters_of_the_United_Nations
Design principle preferring simplicity
plainly—the more complex, the sooner dead"; Heath Robinson contraptions and Rube Goldberg's machines, intentionally overly-complex solutions to simple
KISS_principle
Russian lichenologist and evolutionary biologist
symbiogenesis – that larger, more complex cells (of eukaryotes) evolved from the symbiotic relationship between less complex ones. He presented this theory
Konstantin_Mereschkowski
Heart rate exceeding normal resting rate
wide complex based on the QRS complex. Equal or less than 0.1s for narrow complex. Presented in order of most to least common, they are: Narrow complex Sinus
Tachycardia
Genus of fish
complexes: B. akarensis complex: Betta akarensis Regan, 1910 (Akar betta) Betta antoni H. H. Tan & P. K. L. Ng, 2006 Betta aurigans H. H. Tan & K. K.
Betta
Statistical distribution of complex random variables
j = 1 k Z j Z j H {\displaystyle W=\sum _{j=1}^{k}\mathbf {Z} _{j}\mathbf {Z} _{j}^{\mathrm {H} }} has the complex Wishart distribution with k {\displaystyle
Complex_normal_distribution
2024 Indian film by Nag Ashwin
prospective buyer Faria Abdullah as Peacock: A dancer in the Complex K. V. Anudeep as a Complex member S. S. Rajamouli as a Bounty hunter and Bhairava's rival
Kalki_2898_AD
Math concept
polyhedral complex K {\displaystyle {\mathcal {K}}} is a set of polyhedra that satisfies the following conditions: 1. Every face of a polyhedron from K {\displaystyle
Polyhedral_complex
Complex recording the pattern of intersections between a topological family's sets
In topology, the nerve complex of a set family is an abstract complex that records the pattern of intersections between the sets in the family. It was
Nerve_complex
Abstract simplicial complex describing a graph's cliques
clique of k vertices is represented by a simplex of dimension k – 1. The 1-skeleton of X(G) (also known as the underlying graph of the complex) is an undirected
Clique_complex
Arithmetic operation, inverse of nth power
k = 0 n − 1 e 2 π i n k = 0 {\displaystyle \sum _{k=0}^{n-1}e^{{\frac {2\pi i}{n}}k}=0} Every complex number has n different nth roots in the complex
Nth_root
Construction of a larger algebraic field by "adding elements" to a smaller field
K ⊆ L {\displaystyle K\subseteq L} , such that the operations of K are those of L restricted to K. In this case, L is an extension field of K, and K is
Field_extension
1881 shootout in Tombstone, Arizona, United States
The gunfight at the O.K. Corral pitted lawmen against members of a loosely organized group of cattle rustlers and horse thieves called the Cochise County
Gunfight_at_the_O.K._Corral
Cohomology theory for Lie algebras
M} . The elements of the Chevalley–Eilenberg complex H o m k ( Λ ∙ g , M ) {\displaystyle \mathrm {Hom} _{k}(\Lambda ^{\bullet }{\mathfrak {g}},M)} are
Lie_algebra_cohomology
Dissociative anesthetic and anti-depressant
liquid form, and is often referred to by users as "Ket", "Special K" or simply "K". The long-term effects of repeated use are largely unknown and are
Ketamine
Sports Facilities in Seongnam, South Korea
Tancheon Sports Complex (Korean: 탄천종합운동장) is a group of sports facilities in Seongnam, South Korea. Its name was Seongnam 2 Sports Complex but changed to
Tancheon_Sports_Complex
Unstable configurations of atoms formed while a chemical reaction progresses
activated complex before breaking into the products. From the properties of the activated complex and reactants, the reaction rate constant is k = K k B T h
Activated_complex
Unsolved problem in geometry
k}(X)} come from complex subvarieties Z? Let Hdg k ( X ) = H 2 k ( X , Q ) ∩ H k , k ( X ) . {\displaystyle \operatorname {Hdg} ^{k}(X)=H^{2k}(X,\mathbb
Hodge_conjecture
Complex exponential in terms of sine and cosine
mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function
Euler's_formula
Data manipulation in radiology
Likes and in 1983 by Ljunggren and Twieg. In MRI physics, complex values are sampled in k-space during an MR measurement in a premeditated scheme controlled
K-space in magnetic resonance imaging
K-space_in_magnetic_resonance_imaging
Topological space with only one nontrivial homotopy group
infinite-dimensional complex projective space C P ∞ {\displaystyle \mathbb {CP} ^{\infty }} is a model of K ( Z , 2 ) {\displaystyle K(\mathbb {Z} ,2)}
Eilenberg–MacLane_space
Mathematical manifold theory
de Rham complex: H k ( M , R ) ≅ ker d k im d k − 1 . {\displaystyle H^{k}(M,\mathbf {R} )\cong {\frac {\ker d_{k}}{\operatorname {im} d_{k-1}}}.}
Hodge_theory
Mathematical concept
all k = 2 , 3 , … {\displaystyle k=2,3,\ldots } , the complex B k := ( ⋃ i = 1 k − 1 C i ) ∩ C k {\displaystyle B_{k}:={\Big (}\bigcup _{i=1}^{k-1}C_{i}{\Big
Shelling_(topology)
Device in the representation theory of Lie groups
representation theory of some complex Lie group G is in a qualitative way controlled by that of some compact real Lie group K, and the latter representation
Unitarian_trick
travel, tourism, insurance
K COMPLEX
K COMPLEX
K COMPLEX
K COMPLEX
K COMPLEX
K COMPLEX
K COMPLEX
K COMPLEX
K COMPLEX
travel, tourism, insurance