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Topics referred to by the same term
up involution in Wiktionary, the free dictionary. Involution may refer to: Involution (mathematics), a function that is its own inverse Involution algebra
Involution
Function that is its own inverse
In mathematics, an involution, involutory function, or self-inverse function is a function f that is its own inverse, f(f(x)) = x for all x in the domain
Involution_(mathematics)
Involution (shrinking) of the thymus after the neonatal period
Thymic involution is the shrinking (involution) of the thymus with age, resulting in changes in the architecture of the thymus and a decrease in tissue
Thymic_involution
Economic concept that describes an excess of competition
In socioeconomics, involution refers to excessive and self-defeating competition for limited resources and opportunities. The phenomenon has led to diminishing
Involution_(economics)
a Fricke involution is the involution of the modular curve X0(N) given by τ → –1/Nτ. It is named after Robert Fricke. The Fricke involution also acts
Fricke_involution
1963 book by Clifford Geertz
Agricultural Involution: The Processes of Ecological Change in Indonesia is one of the most famous of the early works of Clifford Geertz. Its principal
Agricultural_Involution
1977 science fiction novel by Bruce Sterling
Involution Ocean is a science-fiction novel by American writer Bruce Sterling, published in 1977. Involution Ocean is a novel about a drug addict who joins
Involution_Ocean
Shrinking of an organ to a former size
Involution is the shrinking or return of an organ to a former size. At a cellular level, involution is characterized by the process of proteolysis of
Involution_(medicine)
Mathematical finite group theory
theory, the classical involution theorem of Aschbacher (1977a, 1977b, 1980) classifies simple groups with a classical involution and satisfying some other
Classical_involution_theorem
Mathematical structure in abstract algebra
Hermitian adjoints. However, it may happen that an algebra admits no involution. Look up * or star in Wiktionary, the free dictionary. In mathematics
*-algebra
In algebraic combinatorics, a Bender–Knuth involution is an involution on the set of semistandard tableaux, introduced by Bender & Knuth (1972, pp. 46–47)
Bender–Knuth_involution
Several notions of a counterpart to evolution
The term involution has various meanings. In some instances it refers to a process prior to evolution which gives rise to the cosmos, in others it is an
Involution_(esotericism)
Range of related ideas and movements that have developed in the Western world
Western esotericism, also known as the Western mystery tradition, is a wide range of loosely related ideas and movements that developed within Western
Western_esotericism
types: a de Jonquières involution, a Geiser involution, or a Bertini involution. The normalized fixed curve of a Geiser involution is a non-hyperelliptic
Cremona_group
Generalized matrix decomposition for Lie groups and Lie algebras
semisimple Lie algebra has a Cartan involution, and any two Cartan involutions are equivalent. A Cartan involution on s l n ( R ) {\displaystyle {\mathfrak
Cartan_decomposition
Semigroup in abstract algebra
In mathematics, particularly in abstract algebra, a semigroup with involution or a *-semigroup is a semigroup equipped with an involutive anti-automorphism
Semigroup_with_involution
Group theoretic operation
In mathematics, a Rosati involution, named after Carlo Rosati, is an involution of the rational endomorphism ring of an abelian variety induced by a polarisation
Rosati_involution
Element mapped to itself by a mathematical function
In mathematics, a fixed point (sometimes shortened to fixpoint), also known as an invariant point, is a value that does not change under a given transformation
Fixed_point_(mathematics)
Linear or affine transformation which is its own inverse
In Euclidean geometry, an affine involution is an involution which is a linear or affine transformation over the Euclidean space R n {\displaystyle
Affine_involution
Chinese term for social competition
inwards' IPA: [nei̯˥˩tɕɥɛn˩˧]) is the Chinese calque of the English word involution. Neijuan is written with two characters which mean 'inside' and 'rolling'
Neijuan
Category equipped with involution
involutive category or category with involution) is a category equipped with a certain structure called dagger or involution. The name dagger category was coined
Dagger_category
standard Young tableaux of any given shape, which turns out to be an involution, although this is not obvious from the definition. One starts by emptying
Jeu_de_taquin
Number of ways to pair up n objects
In mathematics, the telephone numbers or the involution numbers form a sequence of integers that count the ways n people can be connected by person-to-person
Telephone number (mathematics)
Telephone_number_(mathematics)
Part of the theory of modular forms
identity; for this reason, the resulting operator is called an Atkin–Lehner involution. If e and f are both Hall divisors of N, then We and Wf commute modulo
Atkin–Lehner_theory
(with the trivial involution), as is any alternative algebra with involution, or any central simple algebra with involution. An involution here means a linear
Structurable_algebra
Vector field on a pseudo-Riemannian manifold that preserves the metric tensor
parity under the Cartan involution, while h {\displaystyle {\mathfrak {h}}} has even parity. That is, denoting the Cartan involution at point p ∈ M {\displaystyle
Killing_vector_field
Top-to-bottom rearrangement of a musical interval, chord, or melody
In music theory, an inversion is a rearrangement of the top-to-bottom elements in an interval, a chord, a melody, or a group of contrapuntal lines of music
Inversion_(music)
1955 book by Meher Baba
of the atma (soul) through its imagined evolution, reincarnation, and involution, to its goal, its origin, of Paramatma (Over-soul). The journey winds
God_Speaks
Natural number
separate forms in characteristic 2. A symmetry of order two is called an involution. Two is most commonly a determiner used with plural countable nouns, as
2
1998 studio album by Michael Marcus
Involution is an album by multi-instrumentalist Michael Marcus, with the Jaki Byard trio. This was Marcus's third album for Justin Time Records. The album
Involution_(album)
Gamma matrices for arbitrary Clifford algebras
not a powerful p-group. In general, 2-groups have a large number of involutions; the gamma group does likewise. Three particular ones are singled out
Higher-dimensional gamma matrices
Higher-dimensional_gamma_matrices
British left-wing political novelist
Money Power Love (2017), The Little Voice (2016), Occupied (2015) and Involution & Evolution (2014). He's published three works of non-fiction: The Zionists
Joss_Sheldon
Young of domestic cattle
It usually lasts around 1 month. The involution of the cervix takes a bit longer, approximately 45 days. Involution is an inflammatory process supported
Calf_(animal)
Theorem classifying finite simple groups
group is said to be of component type if for some centralizer C of an involution, C/O(C) has a component (where O(C) is the core of C, the maximal normal
Classification of finite simple groups
Classification_of_finite_simple_groups
System of logic lacking the excluded middle law
distributive lattice, and ¬ is a De Morgan involution: ¬(x ∧ y) = ¬x ∨ ¬y and ¬¬x = x. (i.e. an involution that additionally satisfies De Morgan's laws)
De_Morgan_algebra
Yoga system of Sri Aurobindo
Mother (Mirra Alfassa). Central to this philosophy is the concept of involution, a process in which the Spirit plunges into the "Inconscience" of Matter
Integral_yoga
Natural number
26 is the number of letters in the Latin alphabet. "Sloane's A000085 : Involution numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
26_(number)
In geometry, a point group in four dimensions is an isometry group in four dimensions that leaves the origin fixed, or correspondingly, an isometry group
Point groups in four dimensions
Point_groups_in_four_dimensions
Method for producing composition algebras
Cayley–Dickson construction takes any algebra with involution to another algebra with involution of twice the dimension. Hurwitz's theorem states that
Cayley–Dickson_construction
with parameters (36,14,4,6) There are 63 involutions (elements of order 2). A 168-subgroup contains 21 involutions, which are defined to be neighbors. Outside
Hall–Janko_graph
Algebraic structure used in theoretical physics
canonical involutive automorphism on any superalgebra called the grade involution. It is given on homogeneous elements by x ^ = ( − 1 ) | x | x {\displaystyle
Superalgebra
Mathematical formula
μ by adding r elements, no two in the same column. By applying the ω involution on the ring of symmetric functions, one obtains the dual Pieri rule for
Pieri's_formula
Mathematical method in functional analysis
automorphisms of von Neumann algebras from the polar decomposition of a certain involution. It is essential for the theory of type III factors, and has led to a
Tomita–Takesaki_theory
Anticommutating number
numbers, as this avoids some strange behaviors when a conjugation or involution is introduced. It is common to introduce an operator * on the Grassmann
Grassmann_number
Type of permutation
of modules. Guibert, Pergola & Pinzani (2001) showed that vexillary involutions are enumerated by Motzkin numbers. Riffle shuffle permutation, a subclass
Vexillary_permutation
Topics referred to by the same term
(disambiguation) Participation (disambiguation) Stakeholder (disambiguation) Involution (disambiguation) Specific senses "Involvement", 1980 episode of television
Involvement
Square matrix which is its own inverse
by the matrix A n × n {\displaystyle {\mathbf {A}}_{n\times n}} is an involution if and only if A 2 = I , {\displaystyle {\mathbf {A}}^{2}={\mathbf {I}}
Involutory_matrix
Geometric symmetry operation
preserves distances but reverses orientation. A point reflection is an involution: applying it twice is the identity transformation. An object that is invariant
Point_reflection
Homomorphism reversing the order of something
X^{\text{op}}} and acting as the identity on maps is a functor (indeed, an involution). In group theory, an antihomomorphism is a map between two groups that
Antihomomorphism
Irreducible nodal surface
genus 2; i.e. a quotient of the Jacobian by the Kummer involution x ↦ −x. The Kummer involution has 16 fixed points: the 16 2-torsion point of the Jacobian
Kummer_surface
Endocrine gland
about 40–50 g, following which it decreases in size in a process known as involution. The thymus is located in the anterior mediastinum. It is made up of two
Thymus
Among alternative tunings for guitar, each augmented-fourths tuning is a regular tuning in which the musical intervals between successive open-string notes
Augmented-fourths_tuning
Sporadic simple group
outer automorphism group has order 2, and the group 2.HS.2 appears as an involution centralizer in the Harada–Norton group. HS is one of the 26 sporadic groups
Higman–Sims_group
Straight line that only contains one real point
of the double points (imaginary) of the overlapping involutions in which an overlapping involution pencil (real) is cut by real transversals is a pair
Imaginary_line_(mathematics)
Term in mathematics
Satake diagrams are a generalization of Dynkin diagrams that classify involutions of root systems that are relevant in several contexts. They were introduced
Satake_diagram
Swiss mathematician born 1942
write The Book of Involutions published by the American Mathematical Society. This book is about "central simple algebras with involution, in relation to
Max-Albert_Knus
Capital and largest city of Spain
that ensued the end of Spanish Civil war, architecture experienced an involution, discarding rationalism and, eclecticism notwithstanding, going back to
Madrid
Topological complex vector space
C∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties of the adjoint. A particular case is that of
C*-algebra
Natural number
sequence. It appears in counting asymmetric polyominoes and binary-matrix involutions. "Factors of 316 - Find Prime Factorization/Factors of 316". Cuemath
316_(number)
Industrial action in which employees do no more than the minimum required
combined tang ping with involution, a process researched by American anthropologist Clifford Geertz in his 1963 book Agricultural Involution. The book gained
Work-to-rule
Block cipher
same authors and also submitted to NESSIE, it uses involutions for the various operations. An involution is an operation whose inverse is the same as the
Anubis_(cipher)
Natural number
form and the seventh of the form (22.q). a Lucas number. a telephone or involution number, the number of different ways of connecting 6 points with pairwise
76_(number)
True when either but not both inputs are true
The function is linear. Involution: Exclusive or with one specified input, as a function of the other input, is an involution or self-inverse function;
Exclusive_or
Universal construction of a complex Lie group from a real Lie group
}} Then Sp(n,C) is the fixed point subgroup of the involution θ(g) = A (gt)−1 A−1 of SL(2n,C). It leaves the subgroups N±, TC and B
Complexification_(Lie_group)
Type of group in mathematics
unitary groups attached to nondegenerate Hermitian forms relative to an involution. Over C {\displaystyle \mathbb {C} } , the connected simple classical
Classical_group
Theorem in group theory
The theorem states that if C {\displaystyle C} is the centralizer of an involution of a finite group, then every component of C / O ( C ) {\displaystyle
B-theorem
In mathematics, element that equals its square
equals 1. So, for every left R-module, the multiplication by f is an involution of M; that is, it is an R-module homomorphism such that f2 is the identity
Idempotent_(ring_theory)
Indian monk and philosopher (1863–1902)
involution exactly how it appears in Theosophy: the descent, or the involvement, of divine consciousness into matter." Theosophic ideas on involution
Swami_Vivekananda
Calcarine fissure wall
avis, (calcarine spur) previously known as the hippocampus minor, is an involution of the wall of the lateral ventricle's posterior horn produced by the
Calcar_avis
Topics referred to by the same term
subgroup" can also mean an analogue of the Weyl group used in the classical involution theorem The infinite Thompson groups F, T and V studied by the logician
Thompson_group
Condition for a mathematical function to map some value to itself
first place. Every involution on a finite set with an odd number of elements has a fixed point; more generally, for every involution on a finite set of
Fixed-point_theorem
Mathematical concept
transpose" involution B(u, v) ↦ B(v, u)*. Since multiplication by −1 is also an involution and commutes with linear maps, −T is also an involution. Thus we
Ε-quadratic_form
Classification theorem in group theory
finite simple groups with given centralizer of an involution. A group of odd order has no involutions, so to carry out Brauer's program it is first necessary
Feit–Thompson_theorem
1909 Rosicrucian text by Max Heindel
in 1909. The author talks about the true man and his journey through involution, spiritual evolution and epigenesis, presenting practical methods to help
The Rosicrucian Cosmo-Conception
The_Rosicrucian_Cosmo-Conception
Low-rank isomorphisms in mathematics
forms and are described uniformly using central simple algebras with involution, Clifford algebras, and related constructions. In this form they identify
Exceptional isomorphisms of classical groups
Exceptional_isomorphisms_of_classical_groups
centralizers of involutions, extending the results of Brauer & Fowler (1955). If a finite group G has exactly two conjugacy classes of involutions with representatives
Thompson_order_formula
Sporadic simple group
group on 100 points J2 has involutions moving all 100 points and involutions moving just 80 points. The former involutions are products of 25 double transportions
Janko_group_J2
evolution aims to transform human existence into a divine life upon earth. Involution is the prerequisite for evolution. It is defined as the process by which
Evolution_(Sri_Aurobindo)
says that after a finite number of prolongations the system is either in involution (admits at least one 'large' integral manifold), or is impossible. The
Cartan–Kuranishi prolongation theorem
Cartan–Kuranishi_prolongation_theorem
Sporadic simple group
Monster group is (D10 × HN).2, so HN centralizes 5 involutions alongside the 5-cycle. These involutions are centralized by the Baby monster group, which
Harada–Norton_group
subset of fixed-point-free involutions on ordered sets with cardinality 2 n {\displaystyle 2n} . These are the involutions with no so-called left- or
Interval_order
Type of algebras, possibly non associative
N(xy)=N(x)N(y)} for all x and y in A. A composition algebra includes an involution called a conjugation: x ↦ x ∗ . {\displaystyle x\mapsto x^{*}.} The quadratic
Composition_algebra
1934 book by Julius Evola
Darwinian sense which, according to tradition, is considered a regress, an involution. Evola begins the second chapter of Revolt Against the Modern World stating
Revolt Against the Modern World
Revolt_Against_the_Modern_World
General concept and operation in mathematics
structures in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. In other cases
Duality_(mathematics)
Sporadic simple group
a double cover of Fischer's baby monster group as a centralizer of an involution. Within a few months, the order of M was found by Griess using the Thompson
Monster_group
Construction for simplicial sets
opposite category defining an involution on the category of small categories, the opposite simplicial sets defines an involution on the category of simplicial
Opposite_simplicial_set
German mathematician (1832–1903)
condition) and differential geometry, as well as number theory, algebras with involution and classical mechanics. Rudolf Lipschitz was born on 14 May 1832 in Königsberg
Rudolf_Lipschitz
Sporadic simple group
conjugacy classes of involutions; these collapse to 2 in Co1, but there are 4-elements in Co0 that correspond to a third class of involutions in Co1. An image
Conway_group_Co1
Sylow 2-subgroup of G containing an involution not conjugate in G to any other element of T, then the involution lies in Z*(G), which is the inverse image
Z*_theorem
Algebraic stack in mathematics
{\displaystyle \mathbb {Z} /2} -action on the point corresponds to the involution of these two branches of the covering. There are a few special points
Moduli stack of elliptic curves
Moduli_stack_of_elliptic_curves
(pseudo-)Riemannian manifold whose geodesics are reversible
subgroup H that is (a connected component of) the invariant group of an involution of G. This definition includes more than the Riemannian definition, and
Symmetric_space
Sporadic simple group
This is because 1 of the conjugacy classes of involutions does not fix any points. Such an involution partitions the 4060 points of the graph into 2030
Rudvalis_group
Equation whose unknown is a function
numbers). The Bohr–Mollerup theorem is another well-known example. The involutions are characterized by the functional equation f ( f ( x ) ) = x {\displaystyle
Functional_equation
Type of residuated Boolean algebra with extra structure
a relation algebra is a residuated Boolean algebra expanded with an involution called converse, a unary operation. The motivating example of a relation
Relation_algebra
{\displaystyle G} by the subgroup G σ {\displaystyle G^{\sigma }} fixed by some involution σ {\displaystyle \sigma } of G {\displaystyle G} over the complex numbers
Wonderful_compactification
suitable boundary conditions to the Chern-Simons action. In this scheme, the involution of conserved charges of the AKNS system yields an infinite-dimensional
AKNS_system
Algebra where division is always defined
group but respectively a commutative monoid and a commutative monoid with involution. A wheel is an algebraic structure ( W , 0 , 1 , + , ⋅ , / ) {\displaystyle
Wheel_theory
Theorem about finite groups
count involutions (elements of order 2) in G. Perhaps more important is another result that the authors derive from the same count of involutions, namely
Brauer–Fowler_theorem
decomposition Cartan's equivalence method Cartan formalism (physics) Cartan involution Cartan's magic formula Cartan relations Cartan map Cartan matrix Cartan
List of things named after Élie Cartan
List_of_things_named_after_Élie_Cartan
Algebraic structure in mathematics
has basis {1,z} and z 2 = a z + b . {\displaystyle z^{2}=az+b.} Then an involution σ on S is given by σ ( z ) = a − z , {\displaystyle \sigma (z)=a-z,} and
Quadratic_algebra
INVOLUTION
INVOLUTION
INVOLUTION
INVOLUTION
Biblical
people of witness; a prey
Boy/Male
English, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Jewel; Ambition; Lord Shiva; Diamond; Am Ambition; Beautiful
Girl/Female
American, British, Christian, English, Greek
Pure; Keeper of the Keys; Slender
Boy/Male
Muslim/Islamic
Surpassing excellent, leader
Female
English
English variant spelling of French Lorraine, LORAYNE means "land of the people of Lothar."
Boy/Male
Indian
Women who recognizes Islam
Boy/Male
Hindu, Indian, Punjabi, Sikh
A Tree
Boy/Male
Indian, Telugu
Lord Vishnu - Husband of Lakshmi
Boy/Male
Indian, Sanskrit
With Devoted Horses
Boy/Male
Indian, Kannada
Sun
INVOLUTION
INVOLUTION
INVOLUTION
INVOLUTION
INVOLUTION
n.
That in which anything is involved, folded, or wrapped; envelope.
n.
The insertion of one or more clauses between the subject and the verb, in a way that involves or complicates the construction.
n.
The state of being entangled or involved; complication; entanglement.
n.
The extraction of roots; -- the reverse of involution.
n.
The relation which exists between three or more sets of points, a.a', b.b', c.c', so related to a point O on the line, that the product Oa.Oa' = Ob.Ob' = Oc.Oc' is constant. Sets of lines or surfaces possessing corresponding properties may be in involution.
n.
The act of involving or infolding.
n.
Act of involving, or state of being involved; involution.
n.
Involution in one's self; hence, abstraction of thought; reverie.
n.
The state or quality of being intricate or entangled; perplexity; involution; complication; complexity; that which is intricate or involved; as, the intricacy of a knot; the intricacy of accounts; the intricacy of a cause in controversy; the intricacy of a plot.
n.
The return of an enlarged part or organ to its normal size, as of the uterus after pregnancy.
n.
The act or process of raising a quantity to any power assigned; the multiplication of a quantity into itself a given number of times; -- the reverse of evolution.
n.
State of being entangled; intricate and confused involution; that which entangles; intricacy; perplexity.
n.
Partial or incomplete involution; as, subinvolution of the uterus.