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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
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
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
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
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
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
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)
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
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
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
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
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
mathematical permutations. Alternating permutation Circular shift Cyclic permutation Derangement Even and odd permutations—see Parity of a permutation Josephus
List_of_permutation_topics
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
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
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
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
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)
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
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
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
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
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
Natural number
020408163265306122448979591836734693877551 by each of these integers results in a cyclic permutation of the original number: 020408163265306122448979591836734693877551
49_(number)
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
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)
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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)
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)
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)
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
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 {\displaystyle v} : υ ( 1 ) = [ 1 0 0 0 1 0 0 0 1 ] υ (
Group_representation
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
Algebra in algebraic topology
where π {\displaystyle \pi } is a cyclic group of prime order p = n {\displaystyle p=n} acting as a cyclic permutation of n {\displaystyle n} elements,
Steenrod_algebra
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
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
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)
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
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
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)
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
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)
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
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
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
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
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
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
Group of symmetries of an n-dimensional hypercube
n)} of r-colored permutations, defined as the wreath product G ( r , n ) = C r ≀ S n {\displaystyle G(r,n)=C_{r}\wr S_{n}} of the cyclic group C r {\displaystyle
Hyperoctahedral_group
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
occasionally, (Z)-group is used to mean a Zassenhaus group, a special type of permutation group. Usage: (Suzuki 1955), (Bender & Glauberman 1994, p. 2), MR 0409648
Z-group
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
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
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
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
Expresses a Gauss sum using a product of values of the p-adic gamma function
r^{(i)}} is the integer whose base- p {\displaystyle p} expansion is a cyclic permutation of the f {\displaystyle f} digits of r {\displaystyle r} by i {\displaystyle
Gross–Koblitz_formula
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
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
C_{2n-k},f(q))} exhibits the cyclic sieving phenomenon. Let S λ , j {\displaystyle S_{\lambda ,j}} be the set of permutations of cycle type λ {\displaystyle
Cyclic_sieving
Hungarian-British physicist (1920–2011)
Brody, T. (1 August 1969). "A transformation with invariance under cyclic permutation for applications in pattern recognition". Information and Control
T._Peter_Brody
Multi-user version of OFDM digital modulation
carrier permutations between users in different cells Interferences within the cell are averaged by using allocation with cyclic permutations Enables
Orthogonal frequency-division multiple access
Orthogonal_frequency-division_multiple_access
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
Magic square with extra constraints
quincunxes can be translated to other positions in the square by cyclic permutation of the rows and columns (wrapping around), which in a pandiagonal
Pandiagonal_magic_square
CYCLIC PERMUTATION
CYCLIC PERMUTATION
Girl/Female
American, Arabic, Australian, British, Chinese, English
Stone of the Colic; The Gemstone Jade; Green in Colour
Boy/Male
Tamil
Janardana | ஜநாரà¯à®¤à®¨
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Janardana | ஜநாரà¯à®¤à®¨
Surname or Lastname
English
English : habitational name from a place in Cheshire named Kelsall, from the Middle English personal name Kell + Old English halh ‘nook or corner of land’, or possibly from Kelshall in Hertfordshire, which is named with an Old English personal name Cylli + Old English hyll ‘hill’, or even Kelsale in Suffolk, named with an Old English personal name Cēl(i) or Cēol + Old English halh.
Male
Irish
Irish name CAILTE means "the thin man." This is the name of a character from the Fenian cycle.
Boy/Male
Tamil
Jaramarana Varjita | ஜராமாஂரநா வரà¯à®œà¯€à®¤à®¾
Free from the cycle of births and deaths
Jaramarana Varjita | ஜராமாஂரநா வரà¯à®œà¯€à®¤à®¾
Boy/Male
Tamil
Janardhana | ஜநாரà¯à®¤à®¾à®¨à®¾
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Janardhana | ஜநாரà¯à®¤à®¾à®¨à®¾
Boy/Male
Hindu
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Boy/Male
Hindu, Indian, Marathi
Vishnu; The Healer; Who Cures the Disease of Birth and Death Cycles
Boy/Male
Hindu
Free from the cycle of births and deaths
Boy/Male
Hindu
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Boy/Male
Anglo, British, English
With Royal Might
Boy/Male
Tamil
Janardhan | ஜநாரà¯à®¤à®¨
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Janardhan | ஜநாரà¯à®¤à®¨
Surname or Lastname
English
English : nickname from Middle English loller ‘indolent fellow’, a derivative of lolle ‘to droop, dangle, or loll’.English : nickname from Middle English lollere ‘mumbler’, bestowed on a pious person or on a Lollard (a follower of the 14th-century religious reformer John Wyclif).
Boy/Male
English
royal.
Boy/Male
Hindu
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Male
Spanish
Spanish name of Germanic origin, possibly GUIOMAR means "famous in battle." In the 13th century Vulgate Cycle of Arthurian romance, Sir Guiomar is the proud and beautiful knight of the crystal stream.
Boy/Male
Tamil
Janardan | ஜநாரà¯à®¤à®¨
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Janardan | ஜநாரà¯à®¤à®¨
Boy/Male
Assamese, Hindu, Indian, Marathi
The Healer; Vishnu; Who Cures the Disease of Birth and Death Cycles
Girl/Female
Hindu, Indian, Traditional
The Periphery or Rim of a Wheel or Cycle
Boy/Male
Hindu
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
CYCLIC PERMUTATION
CYCLIC PERMUTATION
Boy/Male
Hindu
Fragrant
Boy/Male
British, English
From the Island of Linden Trees
Boy/Male
American, British, English
From the Pool Farm
Girl/Female
Latin
From the seashore.
Boy/Male
Muslim
Girl/Female
Australian, Welsh
White; Fair; Happiness; Blessed
Boy/Male
American, Gujarati, Hindu, Indian, Punjabi, Sikh
A Flower
Boy/Male
Hindu
Treasure of goodness
Girl/Female
Indian
Lakshmi
Girl/Female
English
Winged.
CYCLIC PERMUTATION
CYCLIC PERMUTATION
CYCLIC PERMUTATION
CYCLIC PERMUTATION
CYCLIC PERMUTATION
a.
Of or pertaining to the colon; as, the colic arteries.
a.
Of or pertaining to matter; material; corporeal; as, hylic influences.
a.
Pertaining to the Dog Star; as, the cynic, or Sothic, year; cynic cycle.
v. i.
To ride a bicycle, tricycle, or other form of cycle.
a.
Alt. of Cyclical
a.
See Cystic.
n.
The act or practice of using a cycle; cycling.
n.
One entire round in a circle or a spire; as, a cycle or set of leaves.
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.
a.
Adhering to a fixed circle of legends; cyclic; hence, mean; inferior. See Cyclic poets, under Cyclic.
a.
Of or pertaining to a cycle or circle; moving in cycles; as, cyclical time.
p. pr. & vb. n.
of Cycle
n.
One who rides a bicycle or tricycle; a cycler, or cyclist.
a.
Having the form of, or living in, a cyst; as, the cystic entozoa.
a.
Of or pertaining to colic; affecting the bowels.
v. i.
To pass through a cycle of changes; to recur in cycles.
imp. & p. p.
of Cycle
n.
A cycler.
a.
Containing cysts; cystose; as, cystic sarcoma.
n.
The act, art, or practice, of riding a cycle, esp. a bicycle or tricycle.