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Connected non-abelian Lie group lacking nontrivial connected normal subgroups
{\displaystyle \mathbb {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
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
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
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
Design principle preferring simplicity
and simple", "keep it simple, soldier", "keep it simple, sailor", "keep it simple, sweetie", "keep it stupidly simple", or "keep it sweet and simple". The
KISS_principle
1998 film by Sam Raimi
A Simple Plan is a 1998 neo-noir crime thriller film directed by Sam Raimi and written by Scott B. Smith, based on Smith's 1993 novel. The film stars Bill
A_Simple_Plan_(film)
Seizures which affect only one brain hemisphere
focal seizures were previously subdivided into "simple partial" (preserved consciousness) and "complex partial" (impaired consciousness). These terms have
Focal_seizure
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Complex multiplication field
has rank 2n and V is simple then F is an order in a CM-field. Conversely any CM field arises like this from some simple complex abelian variety, unique
CM-field
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
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
Mathematical group
\end{aligned}}} The symplectic group over the field of complex numbers is a non-compact, simply connected, simple Lie group. The definition of this group includes
Symplectic_group
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
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
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
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
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
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
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
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
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
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)
Trinidad and Tobago writer (born 1973)
should exhibit more fully. Capildeo is both Trinidadian and universal." Simple Complex Shapes, published by Tony Frazer's Shearsman Books in 2015, was written
Vahni_Capildeo
Type of Kac–Moody algebras
determining the structure of affine Lie algebras. Fix a finite-dimensional, simple, complex Lie algebra g {\displaystyle {\mathfrak {g}}} with Cartan subalgebra
Affine_Lie_algebra
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
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
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
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
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
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
Cohomology theory for Lie algebras
cohomology of the complex of differential forms on G {\displaystyle G} . Using an averaging process, this complex can be replaced by the complex of left-invariant
Lie_algebra_cohomology
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
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
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
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)
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
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
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)
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
Tequila-based cocktail
and club soda. A simple paloma is a two-ingredient cocktail consisting only of tequila and grapefruit-flavored soda. A more complex variant of the Paloma
Paloma_(cocktail)
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
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
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
Movement of prices shown on a candlestick chart
pattern. There are 42 recognized patterns that can be split into simple and complex patterns. Some of the earliest technical trading analysis was used
Candlestick_pattern
Philosophical problem-solving principle
is that a simple theory applies to more cases than a more complex one, and is thus more easily falsifiable. This is again comparing a simple theory to
Occam's_razor
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
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
interest range from simple halides, sulfate, phosphate up to complex anions like polyphosphates. Unlike traditional coordination complexes where the center
Anion_complex
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)
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
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
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
Branch of mathematics
the p-adic numbers instead of the complex numbers. A simple example that shows some of the main issues in complex dynamics is the mapping f ( z ) = z
Complex_dynamics
System composed of many interacting components
A complex system is a system composed of many components that interact with one another. Examples of complex systems are Earth's global climate, organisms
Complex_system
between means and ends."; Simplexity: Why Simple Things Become Complex (and How Complex Things Can Be Made Simple) by Jeffrey Kluger details ways in which
Simplexity
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
subalgebra of a complex simple Lie algebra is a 3-dimensional simple subalgebra whose non-zero elements are regular. A finite-dimensional complex simple Lie algebra
Principal_subalgebra
Simple eye without retina
camera). By other criteria, the presence of a complex retina distinguishes the vertebrate camera eye from the simple stemma or ommatidia which make up compound
Simple_eye_in_invertebrates
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
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
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
{\overline {\mathfrak {s}}}} are simple and are the conjugates of each other. The existence of a real form in a complex Lie algebra g {\displaystyle {\mathfrak
Complex_Lie_algebra
Chemical compound
coordinated carbon atoms are approximately coplanar, as found for simpler complexes such as Pt(C2H4)3. Lewis, Larry N.; Stein, Judith; Gao, Yan; Colborn
Karstedt's_catalyst
Oceanic language spoken in Micronesia
slightly more complex. The two-syllable "fule" becomes "ful-fu-le". Lee (1975) states that verbs in Kosraean are structurally either simple, complex, or compound
Kosraean_language
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
Concept in mathematics
ISBN 3-540-54682-0 Serre, Jean-Pierre (2001), Algèbres de Lie semi-simples complexes [Complex Semisimple Lie Algebras], Springer Monographs in Mathematics,
Special_linear_Lie_algebra
Flight simulation video game
SimplePlanes is a simulation video game developed and published by the American indie studio Jundroo LLC. SimplePlanes followed the release of SimplePhysics
SimplePlanes
Traditional first example of a computer programming language
A "Hello, world" program is usually a simple computer program that displays on the screen (often the console) a message similar to "Hello, world". A small
Hello,_world
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
Deliberately complex contraption
reaction–type machine or contraption intentionally designed to perform a simple task in a comically overcomplicated way. First appearing in a cartoon for
Rube_Goldberg_machine
Compact notation for chemical compounds
uniquely any complex structural formula (see chemical nomenclature), but such names must use many terms (words), rather than the simple element symbols
Chemical_formula
Medical condition
had four categories: simple hyperplasia without atypia, complex hyperplasia without atypia, simple atypical hyperplasia and complex atypical hyperplasia
Endometrial_hyperplasia
Military protocol for data communications
Platform Link Evaluation (SIMPLE) is a military communications protocol defined in NATO's Standardization Agreement STANAG 5602. SIMPLE defines a communications
SIMPLE (military communications protocol)
SIMPLE_(military_communications_protocol)
Theoretical object in mathematics
Jacques (1957), "Sur les analogues algébriques des groupes semi-simples complexes", Colloque d'algèbre supérieure, tenu à Bruxelles du 19 au 22 décembre
Field_with_one_element
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
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
Network with non-trivial topological features
network theory, a complex network is a graph (network) with non-trivial topological features—features that do not occur in simple networks such as lattices
Complex_network
Decision-making framework
decision-making contexts or "domains"—clear (also known as simple or obvious), complicated, complex, chaotic, and confusion (or disorder)—that help managers
Cynefin_framework
State of being simple
complicated. Alternatively, as Herbert A. Simon suggests, something is simple or complex depending on the way we choose to describe it. In some uses, the label
Simplicity
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
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)
1739–40 book by David Hume
reasoning"), and between complex perceptions (which can be distinguished into simpler parts) and simple perceptions (which cannot). Our complex ideas, he acknowledges
A_Treatise_of_Human_Nature
structure de Poisson des algèbres de Lie semi-simples complexes" [Nahm equations and Poisson structure of complex semisimple Lie algebras]. Math. Ann. 304
Nahm_equations
SIMPLE COMPLEX
SIMPLE COMPLEX
Surname or Lastname
English
English : from Middle English stapel ‘post’, hence a topographic name for someone who lived near a boundary post, or a habitational name from some place named with this word (Old English stapel), as for example Staple in Kent or Staple Fitzpaine in Somerset.Americanized spelling of German Stapel.
Male
Italian
Italian form of Hebrew Shimown, SIMONE means "hearkening."
Surname or Lastname
English (mainly Nottinghamshire)
English (mainly Nottinghamshire) : unexplained; probably a variant of Sample.
Boy/Male
Australian, British, English
From the Temple Settlement
Female
Icelandic
 Feminine form of Icelandic SÃmon, SIMONE means "hearkening." Compare with other forms of Simone.
Boy/Male
Indian
Chick Style
Surname or Lastname
English
English : variant spelling of Kimball.English : habitational name from Great or Little Kimble in Buckinghamshire, named in Old English as ‘the royal bell’ (cynebelle), referring to the shape of a local hill.Americanized spelling of German Gimbel (see Gimble) or Kimbel.
Girl/Female
Indian
A small indication one that forms in the cheeks when one smiles
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from any of various places in Normandy called Saint-Paul or Saint-Pol, from the dedication of their churches to St. Paul (see Paul).
Female
Finnish
 Feminine form of Finnish Simo, SIMONE means "hearkening." Compare with another form of Simone.
Boy/Male
Hindu, Indian
Soft; Gentle Spirit with a Profound Spiritual Nature
Girl/Female
Indian
Beauty
Boy/Male
English
Temple-town. This surname refers to medieval priories and settlements of the military religious...
Female
French
 Feminine form of French Simon, SIMONE means "hearkening." Compare with other forms of Simone.
Female
Scandinavian
 Scandinavian feminine form of Greek Symeon, SIMONE means "hearkening." Compare with other forms of Simone.
Surname or Lastname
English (Kent)
English (Kent) : origin uncertain; perhaps a variant of the habitational name Wimbley, or a variant of Wimple, a metonymic occupational name for a maker of wimples, from Middle English wimple (Old English wimpel ‘veil’).
Girl/Female
Hindu, Indian, Kannada
Loved One
Girl/Female
American, Assamese, British, Celebrity, English, Gujarati, Hindu, Indian, Kannada, Malayalam, Sindhi, Telugu
A Small; Natural Hollow on the Surface of the Body; Happy; Dimples
Boy/Male
Shakespearean
The Merry Wives of Windsor' Servant to Slender.
Girl/Female
Indian, Telugu
Simple Looking; Good Smile
SIMPLE COMPLEX
SIMPLE COMPLEX
Boy/Male
Hindi
Benevolent.
Boy/Male
Sikh
Pretty, Eye catching
Girl/Female
Muslim
Eye
Girl/Female
Tamil
Ruby
Girl/Female
Latin
One of the Horae.
Girl/Female
Australian, Chinese, Greek, Hebrew, Irish
Twin
Girl/Female
Tamil
Love, Pure
Male
English
Anglicized form of Irish Gaelic Ciarán, CARRAN means "little black one."Â
Surname or Lastname
English
English : variant of Thatch.Vietnamese (Th&adotu;ch) : unexplained.Cambodian : unexplained.
Boy/Male
Indian, Sanskrit
Friendly Disposition; Kindness; Affection
SIMPLE COMPLEX
SIMPLE COMPLEX
SIMPLE COMPLEX
SIMPLE COMPLEX
SIMPLE COMPLEX
a.
Full of dimples, or small depressions; dimpled; as, the dimply pool.
a.
A medicinal plant; -- so called because each vegetable was supposed to possess its particular virtue, and therefore to constitute a simple remedy.
a.
Without subdivisions; entire; as, a simple stem; a simple leaf.
pl.
of Simile
v. t.
To cause to appear as if laid in folds or plaits; to cause to ripple or undulate; as, the wind wimples the surface of water.
a.
Consisting of a single individual or zooid; as, a simple ascidian; -- opposed to compound.
a.
Single; not complex; not infolded or entangled; uncombined; not compounded; not blended with something else; not complicated; as, a simple substance; a simple idea; a simple sound; a simple machine; a simple problem; simple tasks.
v. t.
To take or to test a sample or samples of; as, to sample sugar, teas, wools, cloths.
a.
Plain; unadorned; as, simple dress.
a.
Not luxurious; without much variety; plain; as, a simple diet; a simple way of living.
a.
Artless; guileless; simple-hearted; undesigning; unsuspecting; devoid of duplicity.
n.
One who makes up samples for inspection; one who examines samples, or by samples; as, a wool sampler.
n.
Fig.: A swelling or protuberance like a pimple.
v. i.
To gather simples, or medicinal plants.
a.
Simple; not wise; weak; silly.
v. t. & i.
To rumple; to wrinkle.
imp. & p. p.
of Dimple
a.
Not capable of being decomposed into anything more simple or ultimate by any means at present known; elementary; thus, atoms are regarded as simple bodies. Cf. Ultimate, a.
imp. & p. p.
of Rimple
a.
Direct; clear; intelligible; not abstruse or enigmatical; as, a simple statement; simple language.