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Connected non-abelian Lie group lacking nontrivial connected normal subgroups
the real numbers, ℝ, and that of the unit-magnitude complex numbers, U(1) (the unit circle), simple Lie groups give the atomic "building blocks" that make
Simple_Lie_group
Concept in Lie algebra mathematics
connected Lie group whose Lie algebra is simple. A finite-dimensional simple complex Lie algebra is isomorphic to either of the following: s l n C {\displaystyle
Simple_Lie_algebra
2004 studio album by Jon Weber
Simple Complex is a jazz album of original compositions by pianist Jon Weber. The album, which was released in 2004 by the 2nd Century Jazz Label, features
Simple_Complex
Seizures which affect only one brain hemisphere
generalized seizure is one that involves both sides of the brain from the onset.) Simple partial seizures are seizures that affect only a small region of the brain
Focal_seizure
Concept in complex analysis
the whole complex plane, and has a simple pole at every non-positive integer. The Riemann zeta function is also meromorphic in the whole complex plane, with
Zeros_and_poles
1998 film by Sam Raimi
A Simple Plan is a 1998 crime thriller film directed by Sam Raimi and written by Scott B. Smith, based on Smith's 1993 novel. The neo-noir film stars Bill
A_Simple_Plan_(film)
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 tasks or
KISS_principle
Neuron in the cerebral cortex used for visual processing
complex and simple cells. Whereas complex cells were sensitive to moving stimuli of specific orientations that travel in a specific direction, simple
Hypercomplex_cell
Discrete Fourier transform algorithm
different FFT algorithms based on a wide range of published theories, from simple complex-number arithmetic to group theory and number theory. The best-known
Fast_Fourier_transform
Opposition of a circuit to a current when a voltage is applied
and currents by a simple linear law. In multiple port networks, the two-terminal definition of impedance is inadequate, but the complex voltages at the
Electrical_impedance
How clauses compose sentences in grammar and syntax
explained below. A simple sentence consists of only one clause. A compound sentence consists of two or more independent clauses. A complex sentence has at
Sentence_clause_structure
In mathematics, a Chevalley basis for a simple complex Lie algebra is a basis constructed by Claude Chevalley with the property that all structure constants
Chevalley_basis
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
point of the projective plane (modulo permutations) corresponding to a simple complex Lie algebra is given by three eigenvalues α, β, γ of the Casimir operator
Vogel_plane
Seizure associated with high body temperature
within an hour of the event. There are two types: simple febrile seizures and complex febrile seizures. Simple febrile seizures involve an otherwise healthy
Febrile_seizure
Simple Rules: How to Thrive in a Complex World is a 2015 business strategy book co-authored by Donald N. Sull, a senior lecturer at the MIT Sloan School
Simple_Rules
Chemical compounds containing technetium
identified in the gas phase using mass spectrometry. Technetium forms the simple complex TcH2− 9. The potassium salt is isostructural with ReH2− 9. The following
Technetium_compounds
Canadian YouTube channel
Super Simple Songs is a Canadian YouTube channel and streaming media show created by Devon Thagard and Troy McDonald which publishes animated videos of
Super_Simple_Songs
Number with a real and an imaginary part
trigonometric identity to much simpler exponential identities. The idea of a complex number as a point in the complex plane was first described by Danish–Norwegian
Complex_number
Topics referred to by the same term
"The Simple Things", a Hey Arnold! song written by Craig Bartlett and Steve Viksten and sung by Randy Travis "Simple things should be simple, complex things
Simple_Things
Geometric arrangements of points, foundational to Lie theory
following: simple complex Lie algebras (see the discussion above on root systems arising from semisimple Lie algebras), simply connected complex Lie groups
Root_system
Function that attains finitely many values
real analysis, a simple function is a real (or complex)-valued function over a subset of the real line, similar to a step function. Simple functions are
Simple_function
mathematics, the Chang number of an irreducible representation of a simple complex Lie algebra is its dimension modulo 1 + h, where h is the Coxeter number
Chang_number
Basic/Learning English edition of Wikipedia
aimed at younger users, or intended to present simpler versions of complex articles. Material from the Simple English Wikipedia formed the basis for One Encyclopedia
Simple_English_Wikipedia
Differential geometry concept
also explains how one can associate a unique Wolf space to each of the simple complex Lie groups. Quaternionic discrete series representation Besse, Arthur
Quaternion-Kähler symmetric space
Quaternion-Kähler_symmetric_space
French mathematician (1869–1951)
algebraic terms. Killing's great achievement was the determination of all simple complex Lie algebras; his proofs, however, were often defective, and Cartan's
Élie_Cartan
Trinidad and Tobago writer (born 1973)
published by Peepal Tree Press in 2013. In 2015, Shearsman Books published Simple Complex Shapes, written during Capildeo's time as the Judith E. Wilson Poetry
Vahni_Capildeo
Complicated realm of physics based on simple harmonic motion
complex harmonic motion is a complicated realm based on the simple harmonic motion. The word "complex" refers to different situations. Unlike simple harmonic
Complex_harmonic_motion
Mathematical group
connected simple Lie group of dimension n(2n+1). It has fundamental group isomorphic to the integers under addition. As the real form of a simple complex Lie
Symplectic_group
Mechanical device that changes the direction or magnitude of a force
A simple machine is a mechanical device that changes the direction or magnitude of a force. In general, they can be defined as the simplest mechanisms
Simple_machine
Hallucinations primarily involving the sense of sight
Visual hallucinations may be simple/non-formed visual hallucinations, or complex/formed visual hallucinations. Simple visual hallucinations without structure
Visual_hallucination
Aberth method and the similar yet simpler Durand–Kerner method simultaneously find all of the roots using only simple complex number arithmetic. The Aberth
Polynomial_root-finding
topology, a branch of mathematics, a simple space is a connected topological space that has a homotopy type of a CW complex and whose fundamental group is abelian
Simple_space
proof that required just six pages. 1890 – Killing's classification of simple complex Lie algebras, including his discovery of the exceptional Lie algebras
List of long mathematical proofs
List_of_long_mathematical_proofs
Describes the objects of a given type, up to some equivalence
Classification of Simple Lie algebras and groups Classification of simple complex Lie algebras – Direct sum of simple Lie algebras Classification of simple real Lie
Classification_theorem
Suicide by more than one method
Complex suicide, distinguished from simple suicide, is the act of intentionally causing one's death with more than one method, either simultaneously or
Complex_suicide
248-dimensional exceptional simple Lie group
designation E8 comes from the Cartan–Killing classification of the complex simple Lie algebras, which fall into four infinite series labeled An, Bn, Cn
E8_(mathematics)
Form of freehold land ownership
In English law, a fee simple (pl. fees simple) is one of the estates in land recognised at common law. A "fee" is a vested, heritable, present possessory
Fee_simple
Simplified, minimalistic lifestyle
Simple living refers to practices that promote simplicity in one's lifestyle. Common practices of simple living include reducing the number of possessions
Simple_living
Cohomology theory for Lie algebras
Rham cohomology of the complex of differential forms on G. Using an averaging process, this complex can be replaced by the complex of left-invariant differential
Lie_algebra_cohomology
Type of Kac–Moody algebras
determining the structure of affine Lie algebras. Fix a finite-dimensional, simple, complex Lie algebra 𝔤 with Cartan subalgebra 𝔥 and a particular root system
Affine_Lie_algebra
Two-dimensional Turing machine with emergent behavior
Langton's ant is a two-dimensional Turing machine with a very simple set of rules but complex emergent behavior. It was invented by Chris Langton in 1986
Langton's_ant
Standard for geographical data
Simple Features (officially Simple Feature Access) is a set of standards that specify a common storage and access model of geographic features made of
Simple_Features
Object-oriented programming language
developers held in August 2007. This Nu code defines a simple complex numbers class. (class Complex is NSObject (ivar (double) real (double) imaginary) (-
Nu_(programming_language)
Bijective antilinear map between two complex Hilbert spaces
: C → C {\displaystyle W_{0}:\mathbb {C} \to \mathbb {C} } is just simple complex conjugation on C {\displaystyle \mathbb {C} } W 0 ( z ) = z ¯ {\displaystyle
Antiunitary_operator
Computer network management and monitoring protocol
Simple Network Management Protocol (SNMP) is an Internet Standard protocol for collecting and organizing information about managed devices on IP networks
Simple Network Management Protocol
Simple_Network_Management_Protocol
American regulatory order
certification authority. Revision B canceled 8110.105A and 8110.105, Simple and Complex Electronic Hardware Approval Guidance, which had different intent
FAA_Order_8110.105
Movement of prices shown on a candlestick chart
42[dubious – discuss] recognized patterns that can be split into simple and complex patterns. Some of the earliest technical trading analysis was used
Candlestick_pattern
Type of mathematical expression
necessary to emphasize the name of the indeterminate, many formulas are much simpler and easier to read if the name(s) of the indeterminate(s) do not appear
Polynomial
Protein complex that degrades RNA
(ribonucleic acid) molecules. Exosome complexes are found in both eukaryotic cells and archaea, while in bacteria a simpler complex called the degradosome carries
Exosome_complex
Software design pattern
pattern is typically used when a simple interface is required to access a complex system, a system is very complex or difficult to understand, an entry
Facade_pattern
Lie groups and their associated Lie algebras
algebraic properties (abelian; simple; semisimple). For more examples of Lie groups and other related topics see the list of simple Lie groups; the Bianchi classification
Table_of_Lie_groups
mathematics, the curve complex is a simplicial complex C(S) associated to a finite-type surface S, which encodes the combinatorics of simple closed curves on S
Curve_complex
Brain cell
cosine components (phases), complex cells are modeled by computing the modulus of complex Gabor responses. Both simple and complex cells are linear operators
Simple_cell
Aromatic organic compounds consisting only of a conjugated planar ring system
simple aromatic rings have trivial names. They are usually found as substructures of more complex molecules ("substituted aromatics"). Typical simple
Simple_aromatic_ring
area of topology, a simple-homotopy equivalence is a refinement of the concept of homotopy equivalence. Two CW-complexes are simple-homotopy equivalent
Simple-homotopy_equivalence
Mathematical expression
usually refers to simple continued fractions, whereas the general case is referred to as generalized continued fractions. In complex analysis and numerical
Continued_fraction
Purported fallacy in explaining good reductively
a complex of simple properties, or else it is irreducibly simple. Complex properties can be defined in terms of their constituent parts but a simple property
Naturalistic_fallacy
subgroups for which the corresponding homogeneous space has an invariant complex structure correspond to parabolic subgroups in the complexification of
Borel–de_Siebenthal_theory
Language of India
Verb stems form the nucleus of a verb, have several forms: simple, complex, or compound. Simple verb stems can take one of many forms, although the most
Konda_language_(Dravidian)
Document for guidance of airborne electronic hardware
document classifies electronic hardware items into simple or complex categories. An item is simple "if a comprehensive combination of deterministic tests
DO-254
for CM-fields, the complex quadratic extensions of totally real fields. There are other cases that reflect that A may not be a simple abelian variety (it
Complex multiplication of abelian varieties
Complex_multiplication_of_abelian_varieties
Plane figure bounded by line segments
complex is sometimes used in contrast to simple, but this usage risks confusion with the idea of a complex polygon as one which exists in the complex
Polygon
types: simple, complex, and compound. Simple channels are single channel valleys with little to no branching or anastomosing. Types of simple channels
Surface_features_of_Venus
Polygon in complex space, or which self-intersects
boundary is not simple. In geometry, a complex polygon is a polygon in the complex Hilbert plane, which has two complex dimensions. A complex number may be
Complex_polygon
Group without normal subgroups other than the trivial group and itself
mathematics, a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself. A group that is not simple can be broken
Simple_group
133-dimensional exceptional simple Lie group
designation E7 comes from the Cartan–Killing classification of the complex simple Lie algebras, which fall into four infinite series labeled An, Bn, Cn
E7_(mathematics)
Algebraic structure used in theoretical physics
super-Poincaré algebra generates the isometries of flat superspace. The simple complex finite-dimensional Lie superalgebras were classified by Victor Kac.
Lie_superalgebra
Passage that brings a musical piece to an end
brings a piece (or a movement) to an end. It may be as simple as a few measures, or as complex as an entire section. The presence of a coda as a structural
Coda_(music)
Complex multiplication field
{\displaystyle V} is simple then F {\displaystyle F} is an order in a CM-field. Conversely any CM field arises like this from some simple complex abelian variety
CM-field
Papuan language
Grass Koiari can be described as simple; it has all open syllables, and lacks unusual vowels and consonants and complex consonant clusters. The two types
Grass_Koiari_language
System composed of many interacting components
A complex system is a system composed of many components that interact with one another. This definition, though, would describe any system. For a system
Complex_system
Type of ring in non-commutative algebra
of complex numbers, and H {\displaystyle \mathbb {H} } the quaternions. A central simple algebra (sometimes called a Brauer algebra) is a simple finite-dimensional
Simple_ring
need not be a sum of simple and abelian Lie algebras. A typical counterexample is G = L[t]/tnL[t] where n>1, L is a simple complex Lie algebra with a bilinear
Cartan's_criterion
Bulletin board system software
Based on Alan Kay's philosophy of user-interface design, "Simple things should be simple; complex things should be possible," and influenced by the fact
Citadel_(software)
Concept in probability theory and statistics
take only the three complex values 1+i,1−i,2 with probabilities as specified in the table. This is a simple example of a complex random variable. The
Complex_random_variable
2020 Indian TV series or programme
Review : Unnecessarily complex". The Times of India. Retrieved 7 June 2023. Bhattacharjee, Moumita (20 November 2020). "A Simple Murder review". Rediff
A_Simple_Murder
Type of poem
very complex and are widely used today in most poetry and songs. A B C B {\displaystyle \mathrm {ABCB} } An early poetic form that uses the simple 4-line
Simple_4-line
Tissue lining the surfaces of organs in animals
arranged in a singular layer of cells as simple epithelium, either simple squamous, simple columnar, or simple cuboidal, or in layers of two or more cells
Epithelium
Public housing project in Washington, D.C., United States
46th St SE. The complex also includes the Benning Terrace Community Center and a football field. Benning Terrace, also known as "Simple City," "Simp",
Benning_Terrace
Novel by David Baldacci
Retrieved January 5, 2008. Carlin, Karen (May 13, 2007). "'Simple Genius' by David Baldacci – Complex thriller pays off for readers at finish". Pittsburgh Post-Gazette
Simple_Genius
Class of chemical compounds
carboxylate ligands. For simple carboxylates, the acetate complexes are illustrative. Most transition metal acetates are mixed ligand complexes. One common example
Transition metal carboxylate complex
Transition_metal_carboxylate_complex
Powered mechanical device
economics, mechanization implies machinery more complex than hand tools and would not include simple devices such as an un-geared horse or donkey mill
Machine
— Immanent Eternal — Temporal Mutable — Immutable Merciful — Just Simple — Complex Dipolar theism holds that in each pair, both of the characteristics
Dipolar_theism
curve where the flat surface meets the curve of the crater bottom. Smaller, simple craters retain rim geometries similar to the features of many craters found
Rim_(crater)
Extension of the factorial function
meromorphic function with simple poles at the non-positive integers. For a function f of a complex variable z, at a simple pole c, the residue of f
Gamma_function
interest range from simple halides, sulfate, phosphate up to complex anions like polyphosphates. Unlike traditional coordination complexes where the center
Anion_complex
Sampling technique
individuals. Simple random sampling is a basic type of sampling and can be a component of other more complex sampling methods. The principle of simple random
Simple_random_sample
To-and-fro periodic motion in science and engineering
In mechanics and physics, simple harmonic motion (sometimes abbreviated as SHM) is a special type of periodic motion an object experiences by means of
Simple_harmonic_motion
Geometric structure of 8 points and 8 lines
quadrilaterals in the complex projective plane, is called the Möbius–Kantor configuration. H. S. M. Coxeter (1950) supplies the following simple complex projective
Möbius–Kantor_configuration
Social network mechanism of indirect coordination
to interaction between agents and traces, complex distributed cognition is performed by remarkably simple organisms. This form of cognition long predates
Stigmergy
Formerly classified document (1944)
The Simple Sabotage Field Manual is a document written by the US Office of Strategic Services in 1944. The manual was declassified by the Central Intelligence
Simple_Sabotage_Field_Manual
In complex analysis and numerical analysis, Kőnig's theorem, named after the Hungarian mathematician Gyula Kőnig, gives a way to estimate simple poles
Kőnig's theorem (complex analysis)
Kőnig's_theorem_(complex_analysis)
Mental disorder associated with trauma
Bruce D. Perry) who argue: Complex presentations are often excluded from studies because they do not fit neatly into the simple nosological categorisations
Complex post-traumatic stress disorder
Complex_post-traumatic_stress_disorder
Programming technique utilizing wrapper functions
encapsulation and avoids these problems; see composition over inheritance. A simple example of explicit forwarding in Java: an instance of B forwards calls
Forwarding (object-oriented programming)
Forwarding_(object-oriented_programming)
Accent in Lithuanian phonology
are distinguished from monophthongs (simple vowels) by the fact that they do not have short equivalents. Complex diphthongs differ from the others in
Lithuanian_accentuation
definition can be extended to CW-complexes and is the basis for the concept of simple-homotopy equivalence. Complexes that do not have a free face cannot
Collapse_(topology)
Traditional first example of a computer programming language
A "Hello, world" program is usually a simple computer program that outputs a message similar to "Hello, world". The text may be printed out or displayed
Hello,_world
Congenital disorder of the skull and digits
short thumb with radial deviation complex syndactyly of the index, long and ring finger symbrachyphalangism simple syndactyly of the fourth webspace The
Apert_syndrome
positive note, saying, "Whether a player is looking for a relatively simple, complex, long or short game, Crimea provides the answer with its battle, basic
Crimea: The Dawn of Modern Warfare
Crimea:_The_Dawn_of_Modern_Warfare
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