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alternate case: cyclic permutation
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"reflected binary code"; one of those also lists "minimum error code" and "cyclic permutation code" among the names. A 1954 patent application refers to "the BellSpherical trigonometry (6,778 words) [view diff] exact match in snippet view article find links to article
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. There79 (number) (538 words) [view diff] exact match in snippet view article
Sequences. OEIS Foundation. Retrieved 2016-05-29. Numbers such that every cyclic permutation is a prime. "Sloane's A035497 : Happy primes". The On-Line EncyclopediaGross–Koblitz formula (452 words) [view diff] exact match in snippet view article find links to article
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 {\displaystyleFrobenius group (1,272 words) [view diff] exact match in snippet view article find links to article
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 FanoHeribert Reitböck (660 words) [view diff] exact match in snippet view article find links to article
Reitböck, H; Brody, T (1969). "A transformation with invariance under cyclic permutation for applications in pattern recognition". Information and ControlSharkovskii's theorem (1,418 words) [view diff] exact match in snippet view article find links to article
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) hasHerbert Marvin Ohlman (719 words) [view diff] exact match in snippet view article find links to article
index" (or Permuterm for short) because the words went through a cyclic permutation process. The first actual permutation index was issued later that1/N expansion (758 words) [view diff] exact match in snippet view article find links to article
order of the edges incident to a vertex matters, but only up to a cyclic permutation, and since this is a theory of real scalars, also an order reversalGarnir relations (876 words) [view diff] exact match in snippet view article find links to article
permuting the positions in each tableau (for instance there is a cyclic permutation the cycles the entries of the first row one place forward). A YoungGroup representation (2,245 words) [view diff] exact match in snippet view article find links to article
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 0Free group (2,309 words) [view diff] exact match in snippet view article find links to article
a cyclically reduced conjugate of a cyclically reduced word is a cyclic permutation of the letters in the word. For instance b−1abcb is not cyclicallyT. Peter Brody (1,324 words) [view diff] exact match in snippet view article find links to article
BRODY, T (1 August 1969). "A transformation with invariance under cyclic permutation for applications in pattern recognition". Information and ControlOrbifold (10,243 words) [view diff] exact match in snippet view article find links to article
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 FanoGeneralized Clifford algebra (1,695 words) [view diff] exact match in snippet view article find links to article
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 confusedCyclic order (6,392 words) [view diff] exact match in snippet view article find links to article
cyclic permutation, [a, b, c] ⇒ [b, c, a], and asymmetric under reversal: [a, b, c] ⇒ ¬[c, b, a]. A ternary relation that is asymmetric under cyclic permutationLie superalgebra (2,397 words) [view diff] exact match in snippet view article find links to article
}\circ ({\operatorname {id} }+\sigma +\sigma ^{2})=0} where σ is the cyclic permutation braiding ( id ⊗ τ A , A ) ∘ ( τ A , A ⊗ id ) {\displaystyle ({\operatornameSpin connection (2,944 words) [view diff] exact match in snippet view article find links to article
}e_{\beta ]a}+{\omega _{[\alpha a}}^{d}\;e_{\beta ]d})=0.} Then, do a cyclic permutation of the free indices a , b , {\displaystyle a,b,} and c {\displaystyleP1 phage (2,009 words) [view diff] exact match in snippet view article find links to article
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 theLaw of sines (4,237 words) [view diff] exact match in snippet view article find links to article
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 followsPetr–Douglas–Neumann theorem (1,601 words) [view diff] exact match in snippet view article find links to article
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 − ωσjBertrand's ballot theorem (3,064 words) [view diff] exact match in snippet view article find links to article
p-q} A's remain. Each of these A's was the start of a dominating cyclic permutation before anything was removed. So p − q {\displaystyle p-q} out of theIntegral (9,283 words) [view diff] exact match in snippet view article find links to article
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 statementCollatz conjecture (7,096 words) [view diff] exact match in snippet view article find links to article
{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. ForOriented matroid (3,970 words) [view diff] exact match in snippet view article find links to article
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 \operatornameKoide formula (3,732 words) [view diff] case mismatch in snippet view article find links to article
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:2000hepFidelity of quantum states (4,020 words) [view diff] exact match in snippet view article find links to article
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 {\displaystyleSmall cancellation theory (4,247 words) [view diff] exact match in snippet view article find links to article
to R. Thus if r and s are distinct elements of S then r is not a cyclic permutation of s±1 and G = ⟨ X ∣ S ⟩ {\displaystyle G=\langle X\mid S\rangle }Lin–Kernighan heuristic (3,650 words) [view diff] exact match in snippet view article find links to article
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,Eigenvalues and eigenvectors (13,569 words) [view diff] exact match in snippet view article find links to article
{T}}} , or any nonzero multiple thereof. Consider the cyclic permutation matrix A = [ 0 1 0 0 0 1 1 0 0 ] . {\displaystyleLie algebra (10,471 words) [view diff] no match in snippet view article find links to article
⊗ 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\otimesSteenrod algebra (5,578 words) [view diff] exact match in snippet view article find links to article
cyclic group of prime order p = n {\displaystyle p=n} acting as a cyclic permutation of n {\displaystyle n} elements, and the groups A {\displaystyle A}Matrix calculus (7,065 words) [view diff] exact match in snippet view article find links to article
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 ARotation matrix (15,460 words) [view diff] exact match in snippet view article find links to article
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 = 1Coding theory approaches to nucleic acid design (5,445 words) [view diff] exact match in snippet view article find links to article
form a cyclic matrix, each row of period N {\displaystyle N} under cyclic permutation, which serves as a cyclic core for the Hadamard matrix H ( p , p nBianchi classification (6,581 words) [view diff] exact match in snippet view article find links to article
Cartesian. Using eq. 6d, one obtains and six more equations obtained by a cyclic permutation of indices 1, 2, 3. The structure constants are antisymmetric in their