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CYCLIC PERMUTATION

  • Cyclic permutation
  • Type of (mathematical) permutation with no fixed element

    theory, a cyclic permutation is a permutation consisting of a single cycle. In some cases, cyclic permutations are referred to as cycles; if a cyclic permutation

    Cyclic permutation

    Cyclic_permutation

  • Permutation
  • Mathematical version of an order change

    Unique Permutation Hashing. Mathematics portal Alternating permutation Convolution Cyclic order Even and odd permutations Josephus permutation Levi-Civita

    Permutation

    Permutation

    Permutation

  • Cyclic number
  • Integer whose multiples are digit rotations

    A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the

    Cyclic number

    Cyclic_number

  • Gray code
  • Ordering of binary values, used for positioning and error correction

    and "cyclic permutation code" among the names. A 1954 patent application refers to "the Bell Telephone Gray code". Other names include "cyclic binary

    Gray code

    Gray_code

  • Repeating decimal
  • Decimal representation of a number whose digits are periodic

    n = 1, 2, ..., p − 1, all have period p − 1 and differ only by a cyclic permutation. Such numbers p are called full repetend primes. If p is a prime other

    Repeating decimal

    Repeating_decimal

  • Fisher–Yates shuffle
  • Algorithm for shuffling a finite sequence

    Sattolo's algorithm, may be used to generate random cyclic permutations of length n instead of random permutations. The original Fisher–Yates shuffle was published

    Fisher–Yates shuffle

    Fisher–Yates shuffle

    Fisher–Yates_shuffle

  • Cyclic (mathematics)
  • Index of articles associated with the same name

    begin with cyclic: Cyclic chain rule, for derivatives, used in thermodynamics Cyclic code, linear codes closed under cyclic permutations Cyclic convolution

    Cyclic (mathematics)

    Cyclic_(mathematics)

  • 142857
  • Natural number, cyclic number

    If 142857 is multiplied by 2, 3, 4, 5 or 6, the answer will be a cyclic permutation of itself, and will correspond to the repeating digits of ⁠2/7⁠, ⁠3/7⁠

    142857

    142857

  • Cycle
  • Topics referred to by the same term

    articles with "cyclic" in the title Cyclic group, a group generated by a single element Cyclic permutation, a basic permutation (all permutations are products

    Cycle

    Cycle

  • Conjugacy class
  • In group theory, equivalence class under the relation of conjugation

    c → c b a ) {\displaystyle (abc\to acb,abc\to bac,abc\to cba)} A cyclic permutation of all three: ( a b c → b c a , a b c → c a b ) {\displaystyle (abc\to

    Conjugacy class

    Conjugacy class

    Conjugacy_class

  • Spherical trigonometry
  • Geometry of figures on the surface of a sphere

    c}}.\end{aligned}}} Since the right hand side is invariant under a cyclic permutation of a, b, and c the spherical sine rule follows immediately. There

    Spherical trigonometry

    Spherical trigonometry

    Spherical_trigonometry

  • Permutation group
  • Group whose operation is composition of permutations

    } Permutations are also often written in cycle notation (cyclic form) so that given the set M = {1, 2, 3, 4}, a permutation g of M with g(1)

    Permutation group

    Permutation group

    Permutation_group

  • Circular shift
  • Mathematical concept and applications in software development

    a special kind of cyclic permutation, which in turn is a special kind of permutation. Formally, a circular shift is a permutation σ of the n entries

    Circular shift

    Circular shift

    Circular_shift

  • Circulant matrix
  • Linear algebra matrix

    {\displaystyle 0} to n − 1 {\displaystyle n-1} . (Cyclic permutation of rows has the same effect as cyclic permutation of columns.) The last row of C {\displaystyle

    Circulant matrix

    Circulant_matrix

  • Dihedral group of order 6
  • Non-commutative group with 6 elements

    a^{2},b^{2},(ab)^{3}\rangle } where a and b are swaps and r = ab is a cyclic permutation. Note that the second presentation means that the group is a Coxeter

    Dihedral group of order 6

    Dihedral group of order 6

    Dihedral_group_of_order_6

  • List of permutation topics
  • mathematical permutations. Alternating permutation Circular shift Cyclic permutation Derangement Even and odd permutations—see Parity of a permutation Josephus

    List of permutation topics

    List_of_permutation_topics

  • Levi-Civita symbol
  • Antisymmetric permutation object acting on tensors

    even permutation of (1, 2, 3), −1 if it is an odd permutation, and 0 if any index is repeated. In three dimensions only, the cyclic permutations of (1

    Levi-Civita symbol

    Levi-Civita_symbol

  • Cycle index
  • Polynomial in combinatorial mathematics

    same permutation. The length of a cycle is the number of elements in the cycle. Not all permutations are cyclic permutations, but every permutation can

    Cycle index

    Cycle_index

  • Transposable integer
  • Number that permute or shift cyclically when multiplied by another number

    cyclic permutations are somehow related to repeating decimals and the corresponding fractions. The greatest common divisor (gcd) between any cyclic permutation

    Transposable integer

    Transposable_integer

  • Cyclic order
  • Alternative mathematical ordering

    cyclic order. Since there are n! possible linear orders (as in permutations), there are (n − 1)! possible cyclic orders (as in circular permutations)

    Cyclic order

    Cyclic order

    Cyclic_order

  • Whirlpool (hash function)
  • Cryptographic hash function

    \gamma } is the non-linear layer; π {\displaystyle \pi } is the cyclical permutation; θ {\displaystyle \theta } is the diffusion layer; σ {\displaystyle

    Whirlpool (hash function)

    Whirlpool_(hash_function)

  • Cross product
  • Mathematical operation on vectors in 3D space

    formulas is that they can be deduced from any other of them by a cyclic permutation of the basis vectors. This mnemonic applies also to many formulas

    Cross product

    Cross product

    Cross_product

  • Symmetric group
  • Type of group in abstract algebra

    multiplication. Cyclic groups are those that are generated by a single permutation. When a permutation is represented in cycle notation, the order of the cyclic subgroup

    Symmetric group

    Symmetric group

    Symmetric_group

  • Bertrand's ballot theorem
  • Election result probability theorem

    dominating cyclic permutation before anything was removed. So p − q {\displaystyle p-q} out of the p + q {\displaystyle p+q} cyclic permutations of any arrangement

    Bertrand's ballot theorem

    Bertrand's_ballot_theorem

  • Q-analog
  • Type of mathematical generalization

    The group C has a canonical action on X given by sending c to the cyclic permutation (1, 2, ..., n). Then the number of fixed points of cd on X is equal

    Q-analog

    Q-analog

  • 49 (number)
  • Natural number

    020408163265306122448979591836734693877551 by each of these integers results in a cyclic permutation of the original number: 020408163265306122448979591836734693877551

    49 (number)

    49_(number)

  • Integral
  • Operation in mathematical calculus

    dx+\int _{b}^{c}f(x)\,dx\end{aligned}}} is then well-defined for any cyclic permutation of a, b, and c. The fundamental theorem of calculus is the statement

    Integral

    Integral

    Integral

  • Cauchy's theorem (group theory)
  • Existence of group elements of prime order

    that any cyclic permutation of the components of an element of X again gives an element of X. Therefore one can define an action of the cyclic group Cp

    Cauchy's theorem (group theory)

    Cauchy's theorem (group theory)

    Cauchy's_theorem_(group_theory)

  • Icosahedron
  • Polyhedron with 20 faces

    vertices can be defined by the vectors defined by all the possible cyclic permutations and sign-flips of coordinates of the form (2, 1, 0). These coordinates

    Icosahedron

    Icosahedron

  • Disdyakis triacontahedron
  • Catalan solid with 120 faces

    }}\right)} and their cyclic permutations, Six vertices ( ± S , 0 , 0 ) {\displaystyle \left(\pm S,0,0\right)} and their cyclic permutations. Twenty-four vertices

    Disdyakis triacontahedron

    Disdyakis triacontahedron

    Disdyakis_triacontahedron

  • Collatz conjecture
  • Open problem on 3x+1 and x/2 functions

    {170}{47}}\rightarrow {\frac {85}{47}}\rightarrow {\frac {151}{47}}.} Any cyclic permutation of (1 0 1 1 0 0 1) is associated to one of the above fractions. For

    Collatz conjecture

    Collatz_conjecture

  • Law of sines
  • Property of all triangles on a Euclidean plane

    c}}.\end{aligned}}} Since the right hand side is invariant under a cyclic permutation of a , b , c {\displaystyle a,\;b,\;c} the spherical sine rule follows

    Law of sines

    Law of sines

    Law_of_sines

  • Eigenvalues and eigenvectors
  • Concepts from linear algebra

    1]T, and [0 1 2]T, or any nonzero multiple thereof. Consider the cyclic permutation matrix A = [ 0 1 0 0 0 1 1 0 0 ] . {\displaystyle

    Eigenvalues and eigenvectors

    Eigenvalues_and_eigenvectors

  • 79 (number)
  • Natural number

    Sequences. OEIS Foundation. Retrieved 2016-05-29. Numbers such that every cyclic permutation is a prime. "Sloane's A035497 : Happy primes". The On-Line Encyclopedia

    79 (number)

    79_(number)

  • Pauli matrices
  • Matrices important in quantum mechanics and the study of spin

    {\textstyle \sum _{(\alpha \ldots )}} is used to denote the sum over the cyclic permutation of the included indices. For a → = a   n ^ , |   n ^   | = 1   , {\displaystyle

    Pauli matrices

    Pauli matrices

    Pauli_matrices

  • Sylow theorems
  • Theorems that help decompose a finite group based on prime factors of its order

    the smallest simple non-cyclic group is A5, the alternating group over 5 elements. It has order 60, and has 24 cyclic permutations of order 5, and 20 of

    Sylow theorems

    Sylow theorems

    Sylow_theorems

  • Curl (mathematics)
  • Circulation density in a vector field

    obtained by exchanging each occurrence of a subscript 1, 2, 3 in cyclic permutation: 1 → 2, 2 → 3, and 3 → 1 (where the subscripts represent the relevant

    Curl (mathematics)

    Curl (mathematics)

    Curl_(mathematics)

  • Sharkovskii's theorem
  • Mathematical rule

    period-3 (and hence all periods). Namely, if the orbit type (the cyclic permutation generated by the map acting on the points in the periodic orbit) has

    Sharkovskii's theorem

    Sharkovskii's_theorem

  • Set theory (music)
  • Branch of music theory

    of its elements. Rotation of an ordered sequence is equivalent to cyclic permutation. Transposition and inversion can be represented as elementary arithmetic

    Set theory (music)

    Set theory (music)

    Set_theory_(music)

  • Permutation (music)
  • Any ordering of the elements of a musical set

    the Theme of Paganini for orchestra and piano.[citation needed] Cyclical permutation (also called rotation) is the maintenance of the original order of

    Permutation (music)

    Permutation (music)

    Permutation_(music)

  • Koide formula
  • Unexplained empirical equation in particle physics

    ISBN 978-981-02-0498-3. Koide, Y. (2000). "Quark and Lepton Mass Matrices with a Cyclic Permutation Invariant Form" (PDF). Physics. arXiv:hep-ph/0005137. Bibcode:2000hep

    Koide formula

    Koide_formula

  • Free group
  • Mathematics concept

    cyclically reduced word is a cyclic permutation of the letters in the word. For instance b − 1 a b c b {\displaystyle b^{-1}abcb} is not cyclically reduced

    Free group

    Free group

    Free_group

  • Group representation
  • Group homomorphism into the general linear group over a vector space

    representation on R 3 {\displaystyle \mathbb {R} ^{3}} is given by the set of cyclic permutation matrices v: υ ( 1 ) = [ 1 0 0 0 1 0 0 0 1 ] υ ( u ) = [ 0 1 0 0 0

    Group representation

    Group representation

    Group_representation

  • Enigma machine
  • German cipher machine during World War II

    n R ρ − n , {\displaystyle \rho ^{n}R\rho ^{-n},} where ρ is the cyclic permutation mapping A to B, B to C, and so forth. Similarly, the middle and left-hand

    Enigma machine

    Enigma machine

    Enigma_machine

  • Orbifold
  • Generalized manifold

    Fano plane generated by a 3-fold symmetry σ fixing a point and a cyclic permutation τ of all 7 points, satisfying στ = τ2σ. Identifying F8* with the Fano

    Orbifold

    Orbifold

    Orbifold

  • List of finite simple groups
  • classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type, or one

    List of finite simple groups

    List_of_finite_simple_groups

  • List of set classes
  • given set, its interval-class vector is independent of the version (cyclic permutation) considered, for any cardinality, the ordering of sets in the list

    List of set classes

    List of set classes

    List_of_set_classes

  • Gilbreath shuffle
  • Method of shuffling a deck of cards

    2 n − 1 {\displaystyle 2^{n-1}} distinct Gilbreath permutations. The cyclic Gilbreath permutations of order n {\displaystyle n} are in one-to-one correspondence

    Gilbreath shuffle

    Gilbreath_shuffle

  • Pentakis dodecahedron
  • Catalan solid with 60 faces

    given by ( 0 , ± 1 , ± ϕ ) {\displaystyle (0,\pm 1,\pm \phi )} and cyclic permutations of these coordinates are the vertices of a regular icosahedron. Its

    Pentakis dodecahedron

    Pentakis dodecahedron

    Pentakis_dodecahedron

  • GAP (computer algebra system)
  • Computer algebra system

    of permutations. <action isomorphism> gap> Image(i,G); # Generators for the image of G under i – written as products of disjoint cyclic permutations. Group([

    GAP (computer algebra system)

    GAP (computer algebra system)

    GAP_(computer_algebra_system)

  • Rhombic triacontahedron
  • Catalan solid with 30 faces

    Let φ be the golden ratio. The 12 points given by (0, ±1, ±φ) and cyclic permutations of these coordinates are the vertices of a regular icosahedron. Its

    Rhombic triacontahedron

    Rhombic triacontahedron

    Rhombic_triacontahedron

  • Herbert Marvin Ohlman
  • American inventor (1927–2002)

    result a "permutation index" (or Permuterm for short) because the words went through a cyclic permutation process. The first actual permutation index was

    Herbert Marvin Ohlman

    Herbert_Marvin_Ohlman

  • Generalized Clifford algebra
  • introduced by J. J. Sylvester in the 1880s. (Note that the matrices V are cyclic permutation matrices that perform a circular shift; they are not to be confused

    Generalized Clifford algebra

    Generalized_Clifford_algebra

  • Rotation matrix
  • Matrix representing a Euclidean rotation

    x will have the largest magnitude (the other cases are derived by cyclic permutation); then the following is safe. r = 1 + Q x x − Q y y − Q z z s = 1

    Rotation matrix

    Rotation_matrix

  • Small cancellation theory
  • reduced and cyclically reduced words in the free group F(X) such that R is symmetrized, that is, closed under taking cyclic permutations and inverses

    Small cancellation theory

    Small_cancellation_theory

  • Octonion
  • Hypercomplex number system

    Then multiplication is given by ab = c and ba = −c together with cyclic permutations. These rules together with 1 is the multiplicative identity, e i

    Octonion

    Octonion

  • Circular permutation in proteins
  • Arrangement of amino acid sequence

    A circular permutation is a relationship between proteins whereby the proteins have a changed order of amino acids in their peptide sequence. The result

    Circular permutation in proteins

    Circular permutation in proteins

    Circular_permutation_in_proteins

  • Gaussian binomial coefficient
  • Family of polynomials

    The group C has a canonical action on X given by sending c to the cyclic permutation (1, 2, ..., n). The number of fixed points of cd on X is equal to

    Gaussian binomial coefficient

    Gaussian_binomial_coefficient

  • Biquaternion Lorentz transformation
  • Linear transformation of spacetime coordinates

    {\text{,}}\,\mathbf {J} {\text{, and }}\mathbf {K} } are cyclically permuted. Cyclic permutation is shown by observing for instance that I J K = ( I ) (

    Biquaternion Lorentz transformation

    Biquaternion_Lorentz_transformation

  • Fidelity of quantum states
  • Term in quantum mechanics

    of the order, the spectrum of a matrix product is invariant under cyclic permutation, and so these eigenvalues can instead be calculated from ρ σ {\displaystyle

    Fidelity of quantum states

    Fidelity_of_quantum_states

  • Meander (mathematics)
  • on the right, the order 4 meandric permutation is given by (1 8 5 4 3 6 7 2). This is a permutation written in cyclic notation and not to be confused with

    Meander (mathematics)

    Meander_(mathematics)

  • Frobenius group
  • Concept in mathematics

    Fano plane generated by a 3-fold symmetry σ fixing a point and a cyclic permutation τ of all 7 points, satisfying στ = τ2σ. Identifying F8× with the Fano

    Frobenius group

    Frobenius group

    Frobenius_group

  • Superpermutation
  • String in combinatorial math

    Superpattern, a permutation that contains each permutation of n symbols as a permutation pattern De Bruijn sequence, a similar problem with cyclic sequences

    Superpermutation

    Superpermutation

    Superpermutation

  • Klein four-group
  • Mathematical abelian group

    is the smallest group that is not cyclic. Up to isomorphism, there is only one other group of order four: the cyclic group of order 4. Both groups are

    Klein four-group

    Klein four-group

    Klein_four-group

  • Circulant graph
  • Undirected graph acted on by a vertex-transitive cyclic group of symmetries

    includes a cyclic subgroup that acts transitively on the graph's vertices. In other words, the graph has an automorphism which is a cyclic permutation of its

    Circulant graph

    Circulant graph

    Circulant_graph

  • Petr–Douglas–Neumann theorem
  • Construction on any polygon that yields a regular polygon with the same number of sides

    S − ωσj I ) Aj , with E, and noting that E is invariant under the cyclic permutation operator S, we obtain cAj+1 = (E, Aj+1) = ( 1 − ωσj )−1 ( 1 − ωσj

    Petr–Douglas–Neumann theorem

    Petr–Douglas–Neumann_theorem

  • Dihedral group of order 8
  • Group of symmetries of the square

    positions, and so the group of symmetries of a square is isomorphic to the permutation group generated by (1234) and (13). The symmetries of an axis-aligned

    Dihedral group of order 8

    Dihedral group of order 8

    Dihedral_group_of_order_8

  • Lie algebra
  • Algebraic structure used in analysis

    ⊗ y ) = y ⊗ x . {\displaystyle \tau (x\otimes y)=y\otimes x.} The cyclic-permutation braiding σ : A ⊗ A ⊗ A → A ⊗ A ⊗ A {\displaystyle \sigma :A\otimes

    Lie algebra

    Lie algebra

    Lie_algebra

  • Ménage problem
  • Assignment problem in combinatorial mathematics

    For this reason, two matchings that differ from each other by a cyclic permutation should be treated as equivalent and counted only once. Gilbert (1956)

    Ménage problem

    Ménage problem

    Ménage_problem

  • Twelve-tone technique
  • Musical composition method

    full chromatic Also, some composers, including Stravinsky, have used cyclic permutation, or rotation, where the row is taken in order but using a different

    Twelve-tone technique

    Twelve-tone technique

    Twelve-tone_technique

  • Word (group theory)
  • which the reductions are performed. A word is cyclically reduced if and only if every cyclic permutation of the word is reduced. The product of two words

    Word (group theory)

    Word_(group_theory)

  • Three-wave equation
  • they can be taken η j = ± 1 {\displaystyle \eta _{j}=\pm 1} . By cyclic permutation, there are four classes of solutions. Writing η = η 1 η 2 η 3 {\displaystyle

    Three-wave equation

    Three-wave_equation

  • Cartesian tensor
  • Representation of a tensor in Euclidean space

    i × e j = { + e k cyclic permutations:  ( i , j , k ) = ( 1 , 2 , 3 ) , ( 2 , 3 , 1 ) , ( 3 , 1 , 2 ) − e k anticyclic permutations:  ( i , j , k ) =

    Cartesian tensor

    Cartesian tensor

    Cartesian_tensor

  • Generalizations of Pauli matrices
  • Families of matrices in mathematics, physics, and quantum information

    the shift matrix is just the translation operator (a cyclic permutation matrix) in that cyclic vector space, so the exponential of the momentum. They

    Generalizations of Pauli matrices

    Generalizations_of_Pauli_matrices

  • P1 phage
  • Species of virus

    can start at any location on the circular genome. This is called a cyclic permutation. The genome is especially rich in Chi sequences recognized by the

    P1 phage

    P1_phage

  • 229 (number)
  • Natural number

    representation, yields another prime: 229 + 922 = 1151. There are 229 cyclic permutations of the numbers from 1 to 7 in which none of the numbers is mapped

    229 (number)

    229_(number)

  • Plane partition
  • Array of nonnegative integers in combinatorics

    C 3 {\displaystyle {\mathcal {C}}_{3}} is called the group of cyclic permutations and consists of ( i , j , k ) → ( i , j , k ) , ( i , j , k ) → (

    Plane partition

    Plane partition

    Plane_partition

  • Matrix calculus
  • Specialized notation for multivariable calculus

    combined with the fact that the trace function allows transposing and cyclic permutation, i.e.: tr ⁡ ( A ) = tr ⁡ ( A ⊤ ) tr ⁡ ( A B C D ) = tr ⁡ ( B C D A

    Matrix calculus

    Matrix_calculus

  • Twelvefold way
  • Systematic classification of 12 related enumerative problems concerning two finite sets

    f\circ g} . This extension leads to notions such as cyclic and dihedral permutations, as well as cyclic and dihedral partitions of numbers and sets. Another

    Twelvefold way

    Twelvefold_way

  • 187 (number)
  • Natural number

    integers that adds to 11, counting two sums as equivalent when they are cyclic permutations of each other. There are also 187 unordered triples of 5-bit binary

    187 (number)

    187_(number)

  • Paley construction
  • circulant matrix. That is, each row is obtained from the row above by cyclic permutation. If q is congruent to 3 mod 4 then H = I + [ 0 j T − j Q ] {\displaystyle

    Paley construction

    Paley_construction

  • Cyclically reduced word
  • only if every cyclic permutation of the word is reduced. Every cyclic shift and the inverse of a cyclically reduced word are cyclically reduced again

    Cyclically reduced word

    Cyclically_reduced_word

  • Forte number
  • Classification of pitch class sets

    classes of binary sequences of length 12 under the operations of cyclic permutation and reversal. In this correspondence, a one in a binary sequence corresponds

    Forte number

    Forte number

    Forte_number

  • Classical electromagnetism and special relativity
  • Relationship between relativity and pre-quantum electromagnetism

    }}}=0} where εδαβγ is the contravariant Levi-Civita symbol. Notice the cyclic permutation of indices in this equation: α → β → γ → α from each term to the next

    Classical electromagnetism and special relativity

    Classical electromagnetism and special relativity

    Classical_electromagnetism_and_special_relativity

  • Oriented matroid
  • Abstraction of ordered linear algebra

    of x 1 , … , x k ∈ E {\displaystyle x_{1},\dots ,x_{k}\in E} as a cyclic permutation then we define sgn ⁡ ( x 1 , … , x k ) {\displaystyle \operatorname

    Oriented matroid

    Oriented matroid

    Oriented_matroid

  • Cycles and fixed points
  • Related mathematical concepts

    + 1) permutations with k − 1 elements and j + 1 fixed points and join element k with one of the j + 1 fixed points to a cycle of length 2. Cyclic permutation

    Cycles and fixed points

    Cycles and fixed points

    Cycles_and_fixed_points

  • Representation theory of the symmetric group
  • Area of mathematics

    the cyclic group of order 2. For all n, there is an n-dimensional representation of the symmetric group of order n!, called the natural permutation representation

    Representation theory of the symmetric group

    Representation_theory_of_the_symmetric_group

  • Map folding
  • Concept in the mathematics of paper folding

    the cyclic ordering condition implies that these two creases cross each other, a physical impossibility. For instance, the four-element permutation 1324

    Map folding

    Map_folding

  • Lin–Kernighan heuristic
  • Combinatorial algorithm

    i > 0 {\displaystyle \sum _{i=0}^{n-1}a_{i}>0} , then there is a cyclic permutation of these numbers such that all partial sums are positive as well,

    Lin–Kernighan heuristic

    Lin–Kernighan_heuristic

  • Group theory
  • Branch of mathematics that studies the properties of groups

    group as a permutation group, acting on itself (X = G) by means of the left regular representation. In many cases, the structure of a permutation group can

    Group theory

    Group theory

    Group_theory

  • Cycle decomposition
  • Topics referred to by the same term

    convention for expressing a permutation in terms of its constituent cycles In commutative algebra and linear algebra, cyclic decomposition refers to writing

    Cycle decomposition

    Cycle_decomposition

  • Lie superalgebra
  • Algebraic structure used in theoretical physics

    }\circ ({\operatorname {id} }+\sigma +\sigma ^{2})=0} where σ is the cyclic permutation braiding ( id ⊗ τ A , A ) ∘ ( τ A , A ⊗ id ) {\displaystyle ({\operatorname

    Lie superalgebra

    Lie_superalgebra

  • Symmetric polynomial
  • Polynomial invariant under variable permutations

    2}^{4}X_{3}^{2}+X_{1}^{2}X_{2}X_{3}^{4}} has only symmetry under cyclic permutations of the three variables, which is not sufficient to be a symmetric

    Symmetric polynomial

    Symmetric_polynomial

  • 1/N expansion
  • Perturbative analysis of quantum field theories

    definite cyclic order and represent a special kind of graph where the order of the edges incident to a vertex matters, but only up to a cyclic permutation, and

    1/N expansion

    1/N expansion

    1/N_expansion

  • Key Word in Context
  • Common format for concordance lines

    permuted index. This term refers to the fact that it indexes all cyclic permutations of the headings. Books composed of many short sections with their

    Key Word in Context

    Key Word in Context

    Key_Word_in_Context

  • Matrix (mathematics)
  • Array of numbers

    matrices is independent of cyclic permutations of the matrices; however, this does not in general apply for arbitrary permutations. For example, tr(ABC) ≠

    Matrix (mathematics)

    Matrix (mathematics)

    Matrix_(mathematics)

  • Associahedron
  • Convex polytope of parenthesizations

    five-dimensional Euclidean space, whose vertex coordinates are the cyclic permutations of the vector (1, 2 + φ, 1, 1 + φ, 1 + φ) where φ denotes the golden

    Associahedron

    Associahedron

    Associahedron

  • Abstract index notation
  • Mathematical notation for tensors and spinors

    braiding map associated to the permutation σ {\displaystyle \sigma } (represented as a product of disjoint cyclic permutations). Braiding maps are important

    Abstract index notation

    Abstract_index_notation

  • Lorentz transformation
  • Family of linear transformations

    as the commutator, and the other relations can be found by taking cyclic permutations of x, y, z components (i.e. change x to y, y to z, and z to x, repeat)

    Lorentz transformation

    Lorentz transformation

    Lorentz_transformation

  • 3-j symbol
  • Coefficients coupled with angular momentum

    {\displaystyle [1^{2}]} of the symmetric group S 2 {\displaystyle S_{2}} . Cyclic permutations leave the 3 j {\displaystyle 3j} symbol invariant. if all three are

    3-j symbol

    3-j_symbol

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Online names & meanings

  • Isha
  • Girl/Female

    Hindu

    Isha

    Goddess Parvati, Purity, Gift from God, One who protects, Night prayer

  • Darim
  • Boy/Male

    Muslim/Islamic

    Darim

    Name of a narrator of hadith

  • Alsip
  • Surname or Lastname

    English

    Alsip

    English : variant of Alsop.

  • Teneil
  • Girl/Female

    American, Australian

    Teneil

    Champion; Passionate

  • Somendra | ஸோமேஂத்ர
  • Boy/Male

    Tamil

    Somendra | ஸோமேஂத்ர

    The Moon

  • PHOBOS
  • Male

    Greek

    PHOBOS

    (Φόβος) Greek name PHOBOS means "fear." In mythology, this is the name of a son of Ares. It is also the name of a moon of Mars.

  • Thenral
  • Girl/Female

    Assamese, Gujarati, Hindu, Indian, Kannada, Marathi, Sindhi, Tamil, Telugu

    Thenral

    Cool Breeze; Encouraging

  • Tatum
  • Girl/Female

    Christian & English(British/American/Australian)

    Tatum

    Spirited

  • Bidisha
  • Girl/Female

    Indian

    Bidisha

    Lightening

  • Archaimbaud
  • Boy/Male

    French

    Archaimbaud

    Bold.

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CYCLIC PERMUTATION

  • Cycle
  • v. i.

    To ride a bicycle, tricycle, or other form of cycle.

  • Cycling
  • p. pr. & vb. n.

    of Cycle

  • Cycling
  • n.

    The act, art, or practice, of riding a cycle, esp. a bicycle or tricycle.

  • Cystic
  • a.

    Containing cysts; cystose; as, cystic sarcoma.

  • Cyclist
  • n.

    A cycler.

  • Cyclic
  • a.

    Alt. of Cyclical

  • Colic
  • a.

    Of or pertaining to the colon; as, the colic arteries.

  • Cystic
  • a.

    Having the form of, or living in, a cyst; as, the cystic entozoa.

  • Cistic
  • a.

    See Cystic.

  • Hylic
  • a.

    Of or pertaining to matter; material; corporeal; as, hylic influences.

  • Cycle
  • v. i.

    To pass through a cycle of changes; to recur in cycles.

  • Wheelman
  • n.

    One who rides a bicycle or tricycle; a cycler, or cyclist.

  • Circler
  • n.

    A mean or inferior poet, perhaps from his habit of wandering around as a stroller; an itinerant poet. Also, a name given to the cyclic poets. See under Cyclic, a.

  • Colic
  • a.

    Of or pertaining to colic; affecting the bowels.

  • Wheeling
  • n.

    The act or practice of using a cycle; cycling.

  • Cynical
  • a.

    Pertaining to the Dog Star; as, the cynic, or Sothic, year; cynic cycle.

  • Cycle
  • n.

    One entire round in a circle or a spire; as, a cycle or set of leaves.

  • Cycled
  • imp. & p. p.

    of Cycle

  • Circular
  • a.

    Adhering to a fixed circle of legends; cyclic; hence, mean; inferior. See Cyclic poets, under Cyclic.

  • Cyclical
  • a.

    Of or pertaining to a cycle or circle; moving in cycles; as, cyclical time.