them permutable primes, but later they were also called absolute primes. In base 2, only repunits can be permutable primes, because any 0 permuted to the...

conjugate-permutable. In fact, it is true that for a finite group: Every maximal conjugate-permutable subgroup is normal. Every conjugate-permutable subgroup...

"Mémoire Sur le Nombre des Valeurs qu'une Fonction peut acquérir, lorsqu'on y permute de toutes les manières possibles les quantités qu'elle renferme" [Memoir...

consist of congruence-permutable algebras, but some, like the variety of lattices, have members that are not congruence-permutable. Given an algebra A {\displaystyle...

group theory, a quasinormal subgroup, or permutable subgroup, is a subgroup of a group that commutes (permutes) with every other subgroup with respect...

A permuted congruential generator (PCG) is a pseudorandom number generation algorithm developed in 2014 by Dr. M.E. O'Neill which applies an output permutation...

related to the circular primes are the permutable primes, which are a subset of the circular primes (every permutable prime is also a circular prime, but...

is called congruence permutable if every pair of its congruences permutes; likewise a variety is said to be congruence-permutable if all its members are...

and 7. 37 remains prime when its digits are reversed, thus it is also a permutable prime. 37 is the median value for the second prime factor of an integer...

edited manuscript in 2004, and a printed paperback in 2007, published by Permuted Press. An estimated 70,000 people read the free online versions before...

Title Date Format Pages Publisher ISBN 14 June 5, 2012 Paperback 469 pages Permuted Press ISBN 1618684981 The Fold June 2, 2015 Hardcover 384 pages Crown ISBN 0553418297...

character Sheldon Cooper. Where 73 and 37 are part of the sequence of permutable primes and emirps in base-ten, a Sheldon prime as defined as satisfying...

(not shown in the following example). A KWIC index is a special case of a permuted index. This term refers to the fact that it indexes all cyclic permutations...

matrix P, forming PM, results in permuting the rows of M, while post-multiplying an n-column matrix M, forming MP, permutes the columns of M. Every permutation...

similar three-dimensional (3D) shape. In 1979, the first pair of circularly permuted proteins – concanavalin A and favin (both lectins) – were discovered; over...

subnormal. Every quasinormal subgroup, and, more generally, every conjugate-permutable subgroup, of a finite group is subnormal. Every pronormal subgroup that...

says that the lyrics of some songs have taken him weeks to write as he permutes the various choices, sometimes entering a "zombie phase" as he mulls these...

No-Gi / Beginner / 225 - 249.9 (Super Heavy Weight / Master (30+)) MOX (Permuted Press, 2021, Hardcover) ISBN 1-63758-038-X, ISBN 978-1637580387 When wrestling...

ciphertext letter at the zenith position on the cipher (left) disk. Permute the left disk. Permute the right disk. These five steps are performed continuously...

"cyclic binary code", "cyclic progression code", "cyclic permuting binary" or "cyclic permuted binary" (CPB). The Gray code is sometimes misattributed...

number (7) is still prime. Because 97 is prime, it is an emirp and a permutable prime in base 10. 79 is the smallest prime number p for which the real...

Eternal Golden Braid; the letters appear in his last name, permuted in his first name, and permuted again in his initials. From Gebstadter's brief 1985 biography:...

linearly independent nondegenerate ternary quadratic forms. These are permuted by the Valentiner group. Gerbaldi, Francesco (1882), "Sui gruppi di sei...

every non-negative integer n {\displaystyle n} ). All non-palindromic permutable primes are emirps. It is not known whether there are infinitely many emirps...

1st iteration (permute subarray) 4,2,3,1 ... 1st iteration (swap 1st element into last position) 4,2,3,1 ... 2nd iteration (permute subarray) 4,1,3,2...

1992 with a focus on finite groups. He has introduced the term conjugate-permutable subgroup. In the past, Professor Foguel has also taught at the University...

{\displaystyle 3n-1} . In decimal, this prime is a primeval number and a permutable prime with 131 and 311. 113 is the denominator of 355/113, an accurate...

ISBN 978-1088066157. Brannigan, Paul (2021). Unchained: The Eddie Van Halen Story. Permuted Press. ISBN 978-1637583500. Gill, Chris; Tolinski, Brad (2021). Eruption:...

bit-level permutations in the form of bitwise rotations.[citation needed] The Permute step and rotation constants in the MIX functions are chosen in such a way...

former is interleaved while the latter is not. A processor may support permute instructions, or strided load and store instructions, for moving between...

digits (17 and 71) are prime numbers, 71 is an emirp and more generally a permutable prime. 71 is a centered heptagonal number. It is a regular prime, a Ramanujan...

Like Me: Bernie Mac's Daily Motivational (with Rhonda R. McCullough), Permuted Press, 2022. ISBN 978-1637584040 (Published posthumously) "Bernie Mac"...

groups). In base ten, (17, 71) form the seventh permutation class of permutable primes. The sequence of residues (mod n) of a googol and googolplex, for...

Alternatively, a group G is called an Iwasawa group when every subgroup of G is permutable in G (Ballester-Bolinches, Esteban-Romero & Asaad 2010, pp. 24–25). The...

prime numbers that do not exceed p {\displaystyle p} . The twenty-third permutable prime in decimal R 19 {\displaystyle R_{19}} is also the second to be...

of Superior Achievement in a Young Adult Novel (Intentional Haunting, Permuted Press). Bible is the author of the Apex Trilogy, Z-Burbia and other series...

to be encrypted (see Fixed-Key Blockcipher). After this, Alice randomly permutes the table such that the output value cannot be determined from the row...

transformation acts by cutting the interval into several subintervals, and then permuting these subintervals. They arise naturally in the study of polygonal billiards...

Guide to Eating Deliciously, Hosting Fabulously and Sipping Copiously. Permuted Press. ISBN 978-1-64293-930-9. "Renee Young". WWE. Archived from the original...

following 4 elementary Nielsen transformations: Switch x1 and x2 Cyclically permute x1, x2, ..., xn, to x2, ..., xn, x1. Replace x1 with x1−1 Replace x1 with...

Repunit Repdigit Semiprime Almost prime Unique prime Factorial prime Permutable prime Palindromic prime Cuban prime Lucky prime Ulam spiral Magic star...

The Aslian languages (/ˈæsliən/) are the southernmost branch of Austroasiatic languages spoken on the Malay Peninsula. They are the languages of many of...

ptx is a Unix utility, named after the permuted index algorithm which it uses to produce a search or concordance report in the Keyword in Context (KWIC)...

subgroups of a group Circulant graph, a graph with an automorphism which permutes its vertices cyclically. This set index article includes a list of related...

the plane into two connected components, and hyperbolic motions must not permute these components. One of the most prevalent contexts for inversive geometry...

13, 115 and 135 are composite: 13 = 3×5, 115 = 7×1Ɛ, and 135 = 5×31. Permutable prime Truncatable prime Chris Caldwell, The Prime Glossary: Primeval number...

Elm Street Legacy: The Making of Wes Craven's A Nightmare on Elm Street. Permuted Press. ISBN 978-1-6186-8640-4. Badley, Linda. Film, Horror, and the Body...

size would make assignment unequal. Block randomization, sometimes called permuted block randomization, applies blocks to allocate subjects from the same...

56-bit key-schedule state. This permutation will ignore 8 bits below: Permuted Choice 2 "PC-2" ignored bits 9, 18, 22, 25, 35, 38, 43, 54. This table...

permutation group. The way in which the elements of a permutation group permute the elements of the set is called its group action. Group actions have...

In mathematics, the transposable integers are integers that permute or shift cyclically when they are multiplied by another integer n {\displaystyle n}...

permutations until it hits a sorted one, and a randomized version that randomly permutes its input and checks whether it is sorted. An analogy for the working of...

was known that the functions f {\displaystyle f} and g {\displaystyle g} permute the fixed points of h {\displaystyle h} . Baxter and Joichi noted that...

first methods: a) Layer by Layer - In this method, a face with all edges permuted is solved, and then the remaining puzzle is solved by a single algorithm...

style of knitting in which textures of crossing layers are achieved by permuting stitches. For example, given four stitches appearing on the needle in...

order is relatively prime to that of H {\displaystyle H} . Clearly, every permutable subgroup of a finite group is semipermutable. The converse, however, is...

property of groups, every quasinormal subgroup (that is, a subgroup that permutes with all subgroups) is modular. In particular, every normal subgroup is...

ISBN 979-8351166513. Van Doren, Mamie (2026). You Thought I Was Dead. Permuted Press. ISBN 979-8895653234. Sex symbol Blonde bombshell Marilyn Monroe...

Mathematical physics Thesis Sur le nombre de valeurs que peut acquérir une fonction quand on y permute ses lettres de toutes les manières possibles (1859)...

2023-03-12. Brannigan, Paul (2021). Unchained: The Eddie Van Halen Story. Permuted Press. ISBN 9781637583517. "Record Reviews". Post-Star. March 18, 1978...

red circle. Permutation rearranges the vector elements. For example, permuting a three-dimensional vector with values labeled x, y and z, can interchange...

an irregular prime, the second 3-digit palindromic prime, and also a permutable prime with 113 and 311. It can be expressed as the sum of three consecutive...

A number that remains the same when its digits are reversed. A002113 Permutable primes 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, ... The numbers for which every...

adjacent 4-bit blocks using a maximum distance separable code over GF(24). Permute 4-bit blocks so that they will be adjacent to different blocks in following...

hash function based on Daniel J. Bernstein's ChaCha stream cipher, but a permuted copy of the input block, XORed with round constants, is added before each...

OCLC 1015274908. Weir, William (2018). 50 Battles That Changed the World. Permuted Press. Martinez VP, Bellomo C, San Juan J, Pinna D, Forlenza R, Elder M...

inspired similar projects for images (permuting 4,096 colours onto a grid of 416×640 pixels) and audio (permuting one-second audio clips at a quality of...

are injective functions. In each round, the bytes of the block are first permuted. Then each byte is XORed with a key byte and an earlier ciphertext byte...

(23 February 2021). Joy and Fear: The Beatles, Chicago and the 1960s. Permuted Press. ISBN 978-1-68261-933-9. Archived from the original on 2024-03-02...

permutation on a matrix (morphism of this PROP) is to permute the rows, whereas the right action is to permute the columns. There are also PROPs of matrices where...

American Master: A Creepy Corpus of Facts About Stephen King & His Works. Permuted Press. ISBN 9781682616079. Lea, Rebecca (June 5, 2017). "Revisiting the...

Publishing Group. ISBN 9780593712849. Bet-David, Patrick (2024). The Academy. Permuted Press. ISBN 9798888455609. Persian: پاتریک بت-داوید, romanized: Pātrīk...

the mask and then spreading them to the selected positions. A new set of permute instructions have been added for full two input permutations. They all...

by its intensity and duration. This definition formally makes episodes permutable, as the total pleasure does not depend on their order. Since practical...

their elements enclosed with parentheses, in the order to which they are permuted. For example, the permutation (1 3 2 4) that sends 1 to 3, 3 to 2, 2 to...

were not produced mechanically. Rather, the digits were marked in their permuted order on the body of the machine. The following function takes a card number...

a group of power automorphisms by G. A PT-group is a group in which permutability is transitive. A finite T-group is a PT-group. Robinson, Derek J.S....

fixed line of play, but rather a system for White where the moves may be permuted at the player's discretion. When a game opens with most or all of the above...

arithmetic, binary-coded decimal, bit-matrix multiply and transpose, byte-permute, bit permute including bit-reversal, specialised cryptographic instructions and...

on the real line. If either of β or γ are non-zero, the angles can be permuted so that the positive value is α, but that is not an option for an ideal...

the corner of an equilateral triangle. Rotating the figure 120° simply permutes the indices. This construction can be extended to more variables by placing...

independent carrier of meaning in a lexicon; and syntactically, as the smallest permutable and substitutable unit of a sentence. In some languages, these different...

of 15 durations. The piano part consists of a 17-note rhythmic pattern permuted strictly through 29 chords, as if to give the listener a glimpse of something...

636,000 163 3 "Episode 3" 28 June 2017 (2017-06-28) N/A Operation Permute targets large scale cannabis cultivation activities of a number of Vietnamese...

Steve E. (February 27, 2018). Hauntings of the Western Lunatic Asylum. Permuted Press+ORM. ISBN 978-1-68261-515-7. WRITER, TONYA S. GRACE NEW ERA STAFF...

literary genre but as a perspective on textual machines that compute or permute outputs. In Aarseth’s framing, the cybertextual process includes a semiotic...

which acts by permuting the three legs. This gives rise to an S3 group of outer automorphisms of Spin(8). This automorphism group permutes the three 8-dimensional...

A symmetric kernel is one that is unchanged when the two variables are permuted; it is a kernel function K {\displaystyle K} such that K ( t , u ) = K...

period ratio nτ. The latter lattice is one of a finite set of sublattices permuted by the modular group PSL(2, Z), which is based on changes of basis for...

work itself. The user interface is not part of the work itself. One could permute all the letters and other codes in the command names, and it would still...

becomes the equality binary relation, and negation becomes a bijection which permutes true and false. Conjunction and disjunction are dual with respect to negation...

ISBN 978-1-61039-358-4. Reed, W. Craig (2020). Spies of the Deep. US: Permuted Press. pp. Chapter 4. ISBN 978-1-68261-801-1. "SOVIET SUB AND U.S. SHIP...

American Master: A Creepy Corpus of Facts About Stephen King & His Work. Permuted Press. p. 420. ISBN 978-1-68261-607-9. Chapman, Greg (2018). "Flight or...

June 2018). The 30 Most Influential People of World War II: A Ranking. Permuted Press. p. 168. ISBN 978-1-68261-611-6. Retrieved 25 January 2024. Gewald...

Transactions on Information Theory. 2 (3): 8–19. doi:10.1109/TIT.1956.1056798. Permuter, Haim; Cuff, Paul; Van Roy, Benjamin; Weissman, Tsachy (July 2008). "Capacity...

cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval Full reptend Unique Happy...

related concept of a Skolem sequence is defined in the same way, but instead permutes the sequence 0, 0, 1, 1, ..., n − 1, n − 1. A Langford pairing for n =...

completed in two stages: first by orienting its pieces (OLL) and then by permuting them into their correct positions (PLL). Learning the full method requires...

2021.3090866. ISSN 1558-2191. S2CID 219687051. Rimon, Inbal; Gal, Oren; Permuter, Haim (2025). "Unmasking Deepfakes: Leveraging Augmentations and Features...

square. 311 is a twin prime with 313, an irregular prime, an emirp, and a permutable prime with 113 and 131. It is an Eisenstein prime with no imaginary part...

T(\sigma )} to be the matrix T 0 {\displaystyle T^{0}} with its columns permuted according to σ {\displaystyle \sigma } , we have: t i , j ( σ ) = t i ...

nontrivial part. The trivial part fixes elements, and the nontrivial part permutes the elements in cycles. This can be written out in the cycle notation for...

one-to-one correspondence with elements of the symmetric group, acting by permuting the tensor factors. Here, τ σ {\displaystyle \tau _{\sigma }} denotes...

known major classes of permutation polynomials over finite fields. xn permutes GF(q) if and only if n and q − 1 are coprime (notationally, (n, q − 1)...

by Ryan C. Thomas that contains the story "Whatever Became of Randy" (Permuted Press, 2009) ISBN 978-1-934861-12-7 Discarded Blessings - a digital-only...

American Master: A Creepy Corpus of Facts About Stephen King & His Work. Permuted Press+ORM. p. 232. ISBN 978-1-682616-07-9. "The Ledge". StephenKing.com...

, each consisting of a subset of one or more consecutive values, and permuting the entries of each set among itself. The parabolic subgroups of the symmetric...

Small Giant Games Peakon HackerOne Token Netlify. Varjo Natural Cycles Permutive Codacy Tinyclues Einride Darkstore Standard Cognition Cytora dott Beamery...

concatenation method) from the steps that use the results of this calculation to permute the data (for instance, by scanning the data indexes in order and performing...

combination is the coefficient of each vi; trivial modifications such as permuting the terms or adding terms with zero coefficient do not produce distinct...

v t e PDB gallery 1bd7: CIRCULARLY PERMUTED BB2-CRYSTALLIN 1blb: CLOSE PACKING OF AN OLIGOMERIC EYE LENS BETA-CRYSTALLIN INDUCES LOSS OF SYMMETRY AND ORDERING...

presentations is the behavior under permuting coordinates – the standard simplex is stabilized by permuting coordinates, while permuting elements of the "ordered...

Hornsby, Jason S. (2007). Every Sigh, the End: A Novel About Zombies. Permuted Press. Meisler, Andy (1998). I Want to Believe: The Official Guide to the...

stars through these edge concentrators. The vertices within each layer are permuted in an attempt to reduce the number of crossings among the edges connecting...

differentiable. Another strengthening of the theorem, in which existence of the permuted mixed partial is asserted, was provided by Peano in a short 1890 note on...

of alternatives. In this setting, RSD works as follows: First, randomly permute the agents. Starting with the set of all alternatives, ask each agent in...

{\displaystyle e\approx {163 \over 3\cdot 4\cdot 5}\approx 2.7166\dots } 163 is a permutable prime in base 12, which it is written as 117, the permutations of its...

obtained by permuting the coordinates of ( 2 , 2 , 0 , 0 , 0 , 0 , 0 , 0 ) {\displaystyle (2,2,0,0,0,0,0,0)\,} and the 28 obtained by permuting the coordinates...

of Whiskey". One Step Closer (From Xero to #1 : Becoming Linkin Park). Permuted Press. ISBN 9781682619681. Perez Hollingsworth, Ashley (February 16, 2021)...

allocation. Anonymity: stronger than ETE: if we permute the vector of claims, then the vector of allocations is permuted accordingly. Order-preservation: stronger...

Mystery of Mount Sinai. Scholastic. 2009. ISBN 978-0-54511-206-2. All Up. Permuted Press. 2020. ISBN 978-1-68261-901-8. "Remembering Jonathan Rinzler, bestselling...

The 504th Parachute Infantry Regiment in Sicily and Salerno. New York: Permuted Press, LLC, 2022. Lunteren, Frank van. Blocking Kampfgruppe Peiper: The...

homogeneous data, however some provide a dot product instruction and additional permutes, making the AoS case easier to handle. Although most GPU hardware has moved...

This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no divisors other than 1 and itself...

The "MIX" and "PERMH" instructions are a notable innovation because they permute words in the register set without accessing memory. This can substantially...

Sulanke, Thom (2008), "Thickness-two graphs, I: New nine-critical graphs, permuted layer graphs, and Catlin's graphs", Journal of Graph Theory, 57 (3): 198–214...

y , x , x ) = y {\displaystyle f(x,x,y)=f(y,x,x)=y} . (See Congruence-permutable algebra.) A semiheap (or semigroud) is required to satisfy only the para-associative...

history. JHU Press, 1954. Weir, W. (2019). 50 weapons that changed warfare. Permuted Press. Esposito, G. (2024). Armies of the Steppe Nomads, 376–1227: from...

relation R that relates two lists if one can be obtained by reordering (permuting) the other. As another example, the statement "the solution to an indefinite...

cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval Full reptend Unique Happy...

"Finite groups with all subgroups not contained in the Frattini subgroup permutable". Archiv der Mathematik. 97 (5): 399–406. doi:10.1007/s00013-011-0316-4...

permutations in the resulting sequence differ by swapping two adjacent permuted elements. Equivalently, this algorithm finds a Hamiltonian cycle in the...

American Master: A Creepy Corpus of Facts About Stephen King & His Work. Permuted Press+ORM. pp. 351–352. ISBN 978-1-682616-07-9. Spignesi, Stephen J. (1991)...

rotations as elements of the symmetric group S48 according to how each move permutes the various facelets. The Rubik's Cube group, G, is then defined to be...

constraints (Doctoral). Massachusetts Institute of Technology. hdl:1721.1/16755. Permuter, Haim Henry; Weissman, Tsachy; Goldsmith, Andrea J. (February 2009). "Finite...

Robert Hurley; although it treated most of the same ideas, the revision permuted several passages and substantially changed the language of the original...

entire prostate. Richards, Michael (June 4, 2024). Entrances and Exits. Permuted Press. ISBN 978-1637589137. McDermid, Charles (July 13, 2007). "Richards...

penultimate, penumbra per- through, completely, wrongly, exceedingly permeate, permute peri- around, near or adjacent perihelion, periphrase photo- light photoelectric...

deleting extra characters or tokens, inserting missing characters or tokens, permuting characters or tokens, etc. This algorithm has a default behaviour that...

multiplication maps, for example group automorphisms of G {\displaystyle G} which permute S {\displaystyle S} . The Cayley graph Γ ( G , S ) {\displaystyle \Gamma...

addresses as the six symbol addresses are composed of three tuples that can be permuted in 6 ways and the two symbols within each tuple are invariant for 8 more...

under union and intersection. 733 is a prime number, a balanced prime, a permutable prime, and an emirp. It is the sum of five consecutive primes (137 + 139...

Morgana". JLC Publishing, LLC. 30 April 2017 – via Amazon. "Excalibur - Permuted Press". permutedpress.com. Archived from the original on 20 April 2016...

the real numbers that the series can sum to if we are only allowed to permute indices in I {\displaystyle I} . That is, we let S ( a , I ) = { ∑ n ∈...

Multivariable Quadratic Problem PERK "in the head", Fiat–Shamir heuristic Permuted Kernel Problem (matrix-based) RYDE "in the head", Fiat–Shamir heuristic...

unaffected by Permuting the rows of all the squares simultaneously, Permuting the columns of all the squares simultaneously, and Permuting the entries in...

formulas can be obtained for b {\displaystyle b} and c {\displaystyle c} by permuting the labels A , B , C . {\displaystyle A,B,C.} The polar dual relationship...

units executes integer and floating-point instructions, and the other only permute instructions. The latter has three subunits for simple integer, complex...

Sonoris (re-releases) Was Soll Das ? Schallplatten (re-releases) Spinoffs Permutative Distortion S.B.O.T.H.I. SLP RLW Spinoff of P.D. Skartrack Members Ralf...

were created by Norgate and a lot of effort was put into combining and permuting sounds in different ways to create a satisfying feel. According to Hollis...

\cdots ,x_{n}\rangle )=|f(x_{1},x_{2},\cdots ,x_{n})\rangle .} Note that Wf permutes the computational basis states. Of particular importance is the controlled...

style of knitting in which textures of crossing layers are achieved by permuting stitches Cable length, a unit of distance related to the nautical mile...

consistent way to permute each triplet (r, c, s) where r is the row index, c the column index, and s the symbol number. For example, by permuting the first two...

isomorphism problem, the problem of determining whether it is possible to permute the vertices of one graph so that it is identical to another graph. This...

Zulu ⟨sh⟩ = IPA [ʃ], but in the environment cited here /ʃ/ is "nasally permuted" to [tʃ]. Phuthi ⟨jh⟩ = breathy voiced [dʒʱ] = Xhosa, Zulu ⟨j⟩ (in the...

last layer is solved by first orienting the yellow pieces (OLL) and then permuting the last layer of the cube using a few sets of algorithms (PLL). At the...

Neither of these forms is unique (diagonal entries or Jordan blocks may be permuted) so they are not really normal forms; moreover their determination depends...

There are 92 Johnson solids. 92 is the total number of objects that are permuted by the series of five finite, simple Mathieu groups M n {\displaystyle...

to another permutation. Hence, ghost leg can be regarded as a kind of permuting operator. As an example, consider assigning roles in a play to actors...

perm(A) > |det (A)| and if k = 3, perm(A) = |det (A)|. Furthermore, when k = 3, by permuting rows and columns, A can be put into the form of a direct sum of e copies...

ISBN 978-1-7281-5761-0. S2CID 214595791. Cohen, Ariel; Rimon, Inbal; Aflalo, Eran; Permuter, Haim H. (June 2022). "A study on data augmentation in voice anti-spoofing"...

considered withdrawing it from consideration until indie horror publisher Permuted Press agreed to publish it in 2007. A second edition by Thomas Dunne Books...

rotation symmetries of an equilateral triangle, since these symmetries permute the three vertices of the triangle. Cycles of length two correspond to...

model has 4 rotors (lines 1 through 4) and the reflector (line R) also permutes (garbles) letters. The Enigma family included multiple designs. The earliest...

have a 4D datatypes (along with 2D, 3D) with x-y-z-w accessors including permutes or swizzle access, e.g., allowing easy swapping of RGBA or ARGB formats...

first becomes second and the second becomes first), roll, to cyclically permute elements in the stack or on part of the stack, pop (or drop), to discard...

cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval Full reptend Unique Happy...

Borel subgroup is a set of simple roots, and the outer automorphism may permute them, while preserving the structure of the associated Dynkin diagram....

Descendant subgroup Quasinormal subgroup Seminormal subgroup Conjugate permutable subgroup Modular subgroup Pronormal subgroup Paranormal subgroup Polynormal...

black and white balls is permuted, there is no change to the probability. As in the expression above, even after permuting the draws, the i {\displaystyle...

180° edge (blue arrows) and 120° vertex (reddish arrows) rotations that permute the tetrahedron through those positions. In the tetrakis hexahedron one...

them, and chooses a random permutation of its vertices, presenting the permuted graph I to Merlin. Merlin has to answer if I was created from G or H. If...

structure like a convex hull or Delaunay triangulation is to randomly permute the input points and then insert them one by one into the existing structure...

lattice L with permutable congruences. By using a slight weakening of WURP, this result is extended to arbitrary algebras with permutable congruences by...

added at a time, prioritizing pushes of high excess amounts, with randomly permuted adjacency lists Alon 1989 O ( V E + V 8 / 3 log ⁡ V ) {\displaystyle O(VE+V^{8/3}\log...

permutation. These are the permutations: The identity: No vertices are permuted, and no edges; the contribution is a 1 3 . {\displaystyle a_{1}^{3}.} Three...

algébrique des équations, that if a polynomial in n variables has its variables permuted in all n! ways, the number of different polynomials that are obtained is...

CCl2. A C2 rotation operation permutes the two hydrogen atoms and the two chlorine atoms. Reflection in the yz plane permutes the hydrogen atoms while reflection...

makeup. The first book was released on March 10, 2020, and published by Permuted Press. The audiobook version of Ghost Hunters Adventure Club and the Secret...

carried out by standard one-piece tmRNAs. In other bacterial species, a permuted ssrA gene produces a two-piece tmRNA in which two separate RNA chains are...

Perilous Expedition to Antarctica Reveals Clues to an Eighth Continent. Permuted Platinum. p. 294. ISBN 9781637588437. Parfit, Michael (1985). South Light:...

In 1957, Peter Sneath displayed the results of a cluster analysis by permuting the rows and the columns of a matrix to place similar values near each...

of McEliece cryptosystem. Instead of using the parity check matrix of a permuted Goppa code, SB uses a random matrix H {\displaystyle H} . From the security...

Within each group of vertices with the same y-coordinate, the vertices are permuted in order to minimize the number of crossings in the resulting drawing,...

hyperplanes perpendicular to the roots. Thus, each Weyl group element permutes the Weyl chambers. The figure illustrates the case of the A2 root system...

2012 Archaerhodopsin 3 Same as left - ElectricPk 2012 Ci-VSD Circularly permuted EGFP VSFP3.1 VSFP-Butterfly 2012 Ci-VSD FRET pair: YFP (mCitrine) and RFP...

of notes on the fretboard in standard tuning often forces guitarists to permute the tonal order of notes in a chord. The playing of conventional chords...

aperiodic but is not minimal in its permutation class as it can be cyclically permuted to the smaller string "01". The empty string also meets the definition...

{1}{2}},} and 2 , {\displaystyle 2,} and this set is also preserved and permuted by the 3-cycles. Geometrically, this can be visualized as the rotation...

x {\displaystyle x} , y {\displaystyle y} and z {\displaystyle z} are permuted according to the cycle x ↦ y ↦ z ↦ x {\displaystyle x\mapsto y\mapsto z\mapsto...

in the second case. Otherwise, the larger G {\displaystyle G} -action permutes these isotypic modules; because V {\displaystyle V} is irreducible as a...

from duplications of short ancestral sequences which were differently permuted (for the same tripeptide) by each group. These groups diverged approximately...

(2018-06-05). The 30 Most Influential People of World War II: A Ranking. Permuted Press. ISBN 978-1-68261-611-6. Parfitt, Rose (2019-01-17). The Process...

x_{n})=-f(x_{1},\dots ,x_{i},\dots ,x_{j},\dots ,x_{n}).} Equivalently, if one permutes the variables, the polynomial changes in value by the sign of the permutation:...

have largely taken over this task from the CPU. Some systems also include permute functions that re-pack elements inside vectors, making them especially...

Challis, Brimstone Press (2009) and in Best New Tales of the Apocalypse, Permuted Press (Forthcoming). Soft Viscosity (2008), 2012, ed. Alisa Krasnostein...

hypothesis of there being no relation between the two matrices is true, then permuting the rows and columns of the matrix should be equally likely to produce...

cryptography, a permutation box (or P-box) is a method of bit-shuffling used to permute or transpose bits across S-boxes inputs, creating diffusion while transposing...

significant saving in electricity costs." Huleihel, Yara; Ben-Dror, Eilam; Permuter, Haim H. (2020). Low PAPR Waveform Design for OFDM Systems Based on Convolutional...

1.1.36.5688. {{cite journal}}: Cite journal requires |journal= (help) Permuter, Haim Henry; Weissman, Tsachy; Goldsmith, Andrea J. (February 2009). "Finite...

group has a representation on C 3 {\displaystyle \mathbb {C} ^{3}} by permuting the entries of the vector, the fundamental representation. This representation...

12 members of its automorphism group. The degree-four vertices can be permuted arbitrarily, giving six permutations, and in addition, for each permutation...

change its value when the space and spin coordinates of two particles are permuted, and the antisymmetrical class, in which for such a permutation the wave...

non-contiguous memory locations DWORD- and QWORD-granularity any-to-any permutes vector shifts. Sometimes three-operand fused multiply-accumulate (FMA3)...

Regiment: The 504th Parachute Infantry Regiment in Sicily and Salerno. Permuted Press LLC, 2022. Lunteren, Frank van, The Battle of the Bridges: The 504th...

− {p}, R ∪ {p}) Welzl's paper states that it is sufficient to randomly permute the input at the start, rather than performing independently random choices...

factorizations and the edges to partitions. Permuting the vertices causes the factorizations to permute differently, in accordance with the outer automorphism...

Instruction Description VPPERM Packed Permute Byte VPERMIL2PD Permute Two-Source Double-Precision Floating-Point VPERMIL2PS Permute Two-Source Single-Precision...

PMC 8303677. PMID 34209050. Aharoni, Ziv; Huleihel, Bashar; Pfister, Henry D.; Permuter, Haim H. (2023-09-06). "Data-Driven Neural Polar Codes for Unknown Channels...

element g ∈ G {\displaystyle g\in G} , ρ ( g ) {\displaystyle \rho (g)} permutes the V x {\displaystyle V_{x}} 's, this means that ρ {\displaystyle \rho...

cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval Full reptend Unique Happy...

sliding switch, also called permutor board. A signal, coming from a letter key, went through the rotors, back to the permutor board to continue to the printer...

cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval Full reptend Unique Happy...

known as perfect angular resolution. Moreover, if the edges may be freely permuted around each vertex, then such a drawing is possible, without crossings...

Legacy: The Making of Wes Craven's A Nightmare on Elm Street, New York City: Permuted Press, ISBN 978-1-6186864-0-4 Maddrey, Joseph (2004), Nightmares in Red...

<= uniform(m) <= m-1 with uniform distribution */ void initialize_and_permute(unsigned permutation[], unsigned n) { unsigned i; for (i = 0; i <= n-2;...

written", whereas for Laurence Louis Bongie it is "an unending mire of permuted depravities". Existing texts derive from an incomplete manuscript discovered...

Compound of five tetrahedra. A5 acts on the dodecahedron by permuting the 5 inscribed tetrahedra. Even permutations of these tetrahedra are exactly the...

by a string to the boundary of the disk; each mapping homomorphism that permutes two of the punctures can then be seen to be a homotopy of the strings,...

(MNI), is an upgrade to SSE3, adding 16 new instructions which include permuting the bytes in a word, multiplying 16-bit fixed-point numbers with correct...

the six carbons; because the structure is not changed if the atoms are permuted in ways that correspond to flipping the molecule over or rotating it by...

von paarweise vertauschbaren zyklischen Gruppen" (products of pairwise permutable cyclic groups), in which he showed, among other things, that such groups...

using the permutation tables as S-boxes. The shredding step can either permute all 8 bit-planes independently, or in groups of 4, depending on control...

Epicurean (often incorporating Christian/Catholic, or Thelemic themes but permuted idiosyncratically). Other areas of focus include the modern experience...

Lenoncout was named to the archdiocese of Tours on 21 July 1484 that permutes for that of Reims on 7 April 1508. As archbishop of Reims, he rebuilt the...

nonmotile, nonmotility, nonmutual, pari-mutuel, permutable, permutate, permutation, permutational, permute, promote, promotion, promotional, promotive, promotor...

written in 1964, consists of twenty sections, called "moments", which may be permuted in several different ways, including retrograde presentation, and two versions...

Jennifer Otter (July 19, 2022). Being Britney: Pieces of a Modern Icon. Permuted Press. ISBN 978-1-63758-481-1. Oricon (September 28, 1998). "Japan's Top...

Review: 14 by Peter Clines". Nerds on Earth. Retrieved 4 April 2021. Clines, Peter (2012). 14. Franklin, TN: Permuted Platinum. p. 469. ISBN 9781618684981....

{\displaystyle {\mathcal {T}}} is Dyson's time-ordering symbol. (This symbol permutes a product of noncommuting operators of the form B 1 ( t 1 ) ⋅ B 2 ( t 2...

perceptrons, the same function is preserved when permuting the nodes of a hidden layer, amounting to permuting weight matrices of the network. This property...

"Mathews's Algorithm", a method for producing literary works by transposing or permuting elements according to a predetermined set of rules. Mathews died on January...

2-1=1} . Using the chi-squared test, we may then estimate how many of these permuted sets of yk will yield a minimum error less than or equal to the minimum...

rise to S 3 {\displaystyle S_{3}} is the non-trivial automorphism that permutes the two non-identity elements of C 3 {\displaystyle C_{3}} . Furthermore...

outer membrane proteins, fimbriae/flagella proteins and CPX (circularly permuted OmpX). The CPX scaffold allows peptide fusion at both termini of the scaffold...

equation satisfied by the roots is still satisfied after the roots have been permuted. An important proviso is that we restrict ourselves to algebraic equations...

the sequence. Circular shifts are used often in cryptography in order to permute bit sequences. Unfortunately, many programming languages, including C,...

more compact. It includes 1, 8 and 9 but excludes l, v, 0 and 2. It also permutes the alphabet so that the easier characters are the ones that occur more...

to 2013. Yebol estimated it will cover, by early Q1 2010, all existing permutable search terms in its intelligent search results format. Its strategy involves...

3&2\\1&0\end{pmatrix}}^{t}{\begin{pmatrix}0\\1\end{pmatrix}}} . π (pi) Permute the 25 words in a fixed pattern. a[3i+2j][i] ← a[ i][j]. χ (chi) Bitwise...

identity. There is exactly one permutation of zero objects: with nothing to permute, the only rearrangement is to do nothing. This convention makes many identities...

{\displaystyle S_{\omega }} , but do limit to its subgroup of permutations which permute only finitely many objects. We'll also often see that recovering a group...

seal-carving methods, a simultaneous plurality of interwoven recursive and permutative differences. "Ștefan Arteni: de la caligrafia japoneză la pictura în...

explicitly for the Christoffel symbols as a function of the metric tensor by permuting the indices and resumming: Γ i k l = 1 2 g i m ( ∂ g m k ∂ x l + ∂ g m...

Savage Land (Yuanye, 1987) features a Chinese-style verismo, reminiscent of Russian opera but at the same time permuted by distinctly Chinese ..." v t e...

IA-32. VMX/AltiVec is also unique in its support for a flexible vector permute instruction, in which each byte of a resulting vector value can be taken...

cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval Full reptend Unique Happy...

Selvin, Joel (October 11, 2022). Sly & the Family Stone: An Oral History. Permuted Press. One: A Little Prince. ISBN 978-1-63758-503-0. Moderelli, Rob (June...

(roughly, syntactic arguments) i, j and k permuted —for example, the DSyntAs k, i and j of L are permuted in L´ such that [i→k, j→i, and k→j]. Conv21(include)...

Retrieved 2018-12-16.{{cite conference}}: CS1 maint: miscellaneous url (link) Permuter, Haim Henry; Weissman, Tsachy; Goldsmith, Andrea J. (February 2009). "Finite...

inversion, and the symmetric group Sn acts on both {±1}n and T × {1} by permuting factors. The elements of the Weyl group are represented by matrices in...

{\binom {n}{k_{1},\ldots ,k_{m}}}} is also the number of distinct ways to permute a multiset of n elements, where ki is the multiplicity of each of the ith...

robin. With each DNS response, the IP address sequence in the list is permuted. Traditionally, IP clients initially attempt connections with the first...

for encryption as follows: An input typewriter An input plugboard that permutes the letters from the typewriter keyboard and separates them into a group...

called symmetric if it stays the same whenever the indeterminates are permuted in any way. More formally, there is an action by ring automorphisms of...

because multiplying every element in a group by a constant element merely permutes the elements. See Group (mathematics) Davenport p. 30 (paraphrase) To prove...

sequences define the same multiset if one can be obtained from the other by permuting the terms. In other words, it is a sample of k elements from a set of...

pipe, while most of the memory instructions execute on the odd pipe. The permute unit is closely associated with memory instructions as it serves to pack...

Formally, if the labels assigned to each outcome are permuted arbitrarily, the returned result is permuted in the same way. Some authors reserve the term anonymity...

off in 2000 for scrapping. Reed, W. Craig (2020). Spies of the Deep. US: Permuted Press. pp. Chapter 4. ISBN 978-1682618011. Norman Polmar, Kenneth J. Moore...

indices, with the rest fixed) the joint probability distribution of the permuted sequence X σ ( 1 ) , X σ ( 2 ) , X σ ( 3 ) , … {\displaystyle X_{\sigma...

⁠. The coordinates of the other strut ends (vertices) are obtained by permuting the coordinates, e.g., ⁠ ( 0 , d , l ) → ( d , l , 0 ) → ( l , 0 , d )...

are temporarily stored in both the encoder and decoder and read out in permuted order under the control of a pseudorandom number generator. A smartcard...

T A P {\displaystyle P^{T}AP} , where P is a permutation matrix, is a (permuted) arrowhead matrix. Real symmetric arrowhead matrices are used in some algorithms...

values of the parameters. More precisely, one may proceed as follows. By permuting the indices, one may suppose, without loss of generality that a n ≠ 0...

property as do the Borromean rings, as well as having the cyclic group permuting such three triangles. A similar independently approach by American artist...

choice to sixteen possible endings. Resnais slightly reduced the number of permuted endings and compressed the plays into two films, each having a common starting...

built (but the pieces may be permuted incorrectly), then the last layer is oriented (OLL) and lastly both layers are permuted (PBL). The Ortega method requires...

n!, called the natural permutation representation, which consists of permuting n coordinates. This has the trivial subrepresentation consisting of vectors...

mean the number of other relations one can derive from the given one by permuting and repeating its arguments. For instance, for n = 2 {\displaystyle n=2}...

(blue arrows) and 120° vertex (pink and orange arrows) rotations that permute the tetrahedron through the positions. The twelve rotations form the rotation...

changed. So, setting ⁠ z = x y {\displaystyle z=xy} ⁠, and, if needed, permuting and renaming the variables, we are reduced to a denesting into a sum or...

Jennifer Otter (July 19, 2022). Being Britney: Pieces of a Modern Icon. Permuted Press. ISBN 978-1-63758-481-1 – via Google Books. "Britney Spears and sons...

complement of A in P: P/A = D − CA−1B must be invertible. Equivalently, by permuting the blocks: P = [ A B C D ] − 1 = [ ( A − B D − 1 C ) − 1 − ( A − B D...

length. It contains terminal and redundant sequences and is circularly permuted.[citation needed] Members of this family differ in their degree of genome...

y_{n})=(y_{\sigma (1)},\ldots ,y_{\sigma (n)}).} Such a σ {\displaystyle \sigma } can permute the indices of y {\displaystyle y} -values that are equal; in the case...

plastic piece with four stubs holds them in place. Board quarters can be permuted and flipped over to give 96 different board arrangements. There are also...

doi:10.1074/jbc.273.21.12685. PMID 9582290. Soma A (2014). "Circularly permuted tRNA genes: their expression and implications for their physiological relevance...

of no importance, the numbers in the representation may be cyclically permuted. If a graph contains different Hamiltonian circuits, one may select one...

automorphism group of Spin(8) which is isomorphic to the symmetric group S3 that permutes these three representations. The automorphism group acts on the center...

excerpt online. It was planned for publication in 2017. In 2023, with Permuted Press, Kazemi published a final version of the novel, now titled New Millennium...

hyperplanes perpendicular to the roots. Thus, each Weyl group element permutes the Weyl chambers. The figure illustrates the case of the A 2 {\displaystyle...

rooted trees are isomorphic when one can be obtained from the other by permuting the children of its nodes. In other words, the group that acts on the...

predefined (non-random) sequences, but in modern path tracers the sequences are permuted (scrambled) to make them more random. Stratified sampling and low-discrepancy...

The Authorized Story of How I Created Extreme Championship Wrestling. Permuted Platinum. p. 80. ISBN 978-1-63758-867-3. Retrieved August 11, 2023. Jericho...

F. (2020). Joy and Fear: The Beatles, Chicago and the 1960s. New York: Permuted Press. p. 203. ISBN 978-1-68261-933-9. Retrieved January 25, 2025. My father...

ISBN 1629331899 Married... with Children vs. the World, by Richard Gurman, Permuted Press, April 2024, ISBN 9781637588314 Married... with Children was adapted...

transformation d : E → E {\displaystyle d:E\rightarrow E} is bijective, it permutes the elements of a fiber p − 1 ( x ) {\displaystyle p^{-1}(x)} with x ∈...

"Mémoire sur le nombre de valeurs que peut prendre une fonction quand on y permute les lettres qu'elle renferme.", Journal de l'École Royale Polytechnique...

circular ones, one notices that they involve the same functions of t, just permuted. If we identify the parameter t in both cases we arrive at a relationship...

negating and swapping the Cartesian coordinates of points. The symmetries permute the eight isosceles triangles between the half-edges and the square's center...

shyness, see Gold, The Guardian, 4 March 2017, op. cit. "Luke Rhinehart - Permuted Press". Archived from the original on 2014-12-18. Retrieved 2014-12-17...

..4220M. Miller, G. A. (1935), "Groups which are the products of two permutable proper subgroups", Proceedings of the National Academy of Sciences, 21...

the classical commentators; and where, characteristically, the analysis permutes and compounds as commentaries are introduced. The second stream, beki'ut...

building a piece using a series of the twelve notes of the chromatic scale, permuting it and superimposing it on itself to create the composition. Arnold Schoenberg:...

smallest extension of K (splitting field). As these automorphisms must permute the roots of the polynomials, this group is either the group S3 of all...

 53. doi:10.1109/ISIT.2003.1228067. ISBN 0-7803-7728-1. Iddo Naiss; Haim Permuter (2010). "Extension of the Blahut-Arimoto algorithm for maximizing directed...

degenerate case of a metric circle) if every four of its points can be permuted and labeled as a , b , c , d {\displaystyle a,b,c,d} so that they obey...

and Whyld gave a distinct formal definition, 1.d4 d6 2.e4 Nf6 3.Nc3 g6, permuting White's first two moves, although they qualified the definition by remarking...

Field of Battle, Global War on Drug Trafficking, rephrases and slightly permutes the latter two-thirds of War City/Mexico-USA. In both cases the material...

continuation of the local branches around loops avoiding the critical values permutes the branches; these permutations form the monodromy group of the algebraic...

unabashed takes on a variety of provocative topics. It was published by Permuted Press. In April 1964, two months after meeting via blind date (orchestrated...

engineer, researcher, doctor] if they are smart.". Contrast this with the permuted phrase, which means "One should not waste their time thinking about their...

Hadamard matrix. In general, any operator in a Hilbert space that acts by permuting an orthonormal basis is unitary. In the finite dimensional case, such...

an affine transformation is a projective transformation that does not permute finite points with points at infinity, and affine transformation geometry...

later developed single-FP system, dubbed G-CaMP, also invokes circularly permuted GFP. One of the termini is fused with CaM, and the other termini is fused...

ar+1 − αar ). In terms of the linear operator S : Cn → Cn that cyclically permutes the coordinates one place, we have B = (1−α)−1( S − αI )A, where I is the...

than the other way around, the assignment of A, B, C to kinds will be permuted correspondingly; and conversely. Basic importance of similarity and kind...

echelon form is unique. Given a matrix in reduced row echelon form, if one permutes the columns in order to have the leading 1 of the ith row in the ith column...

of all the bits: it takes the outputs of all the S-boxes of one round, permutes the bits, and feeds them into the S-boxes of the next round. A good P-box...

point ( M → T , α M ) {\displaystyle (M\to T,\alpha _{M})} by cyclically permuting the factors of M {\displaystyle M} in M ⊗ r {\displaystyle M^{\otimes...

Lévy–Steinitz theorem Antisymmetrizer Identical particles Levi-Civita symbol Permutable prime Bit-reversal permutation Claw-free permutation Heap's algorithm...

points appearing 3 times, each triplet of points occurring exactly once. Permute the original 8 vertices any of 8! = 40320 ways, and discard duplicates...

multiplying the matrix by suitable elementary matrices, which correspond to permuting rows or columns and adding multiples of one row to another row. Singular...

numerical analysis, the minimum degree algorithm is an algorithm used to permute the rows and columns of a symmetric sparse matrix before applying the Cholesky...

American Master: A Creepy Corpus of Facts About Stephen King & His Work. Permuted Press. p. 306. ISBN 9781682616079. "Everything's Eventual (J.P. Scott)"...

colored differently just for emphasis. Rotating the figure by 120° simply permutes the indices. x 1 = ( c 11 + 1 ) x 1 + c 12 x 2 + c 13 x 3 − y 1   , {\displaystyle...

American Master: A Creepy Corpus of Facts About Stephen King & His Work. Permuted Press+ORM. p. 1956. ISBN 978-1-68261-607-9. Retrieved September 14, 2025...

American Master: A Creepy Corpus of Facts About Stephen King & His Work. Permuted Press+ORM. pp. 351–352. ISBN 978-1-682616-07-9. Vincent, Bev (2022). Stephen...

a field was made in 1770 by Joseph-Louis Lagrange, who observed that permuting the zeros x1, x2, x3 of a cubic polynomial in the expression (x1 + ωx2...

(December 2021). "Treatment of experimental anthrax with pegylated circularly permuted capsule depolymerase". Science Translational Medicine. 13 (623) eabh1682...

where two labellings are equivalent if one is obtained from the other by permuting the entries of each row. For each Young tableau T of shape λ let { T }...

Taylor, Brittani Louise (2020-07-07). Saintsville. New York, New York: Permuted Press. ISBN 9781682619100. Archived from the original on 2024-05-22. "My...

\\\vdots &\vdots &\vdots &\ddots &\vdots \\0&0&0&\dots &0\end{bmatrix}}} permuted by a random permutation matrix to P M causal P − 1 {\displaystyle...

iteration because they are sorted by their hash, effectively randomly permuting them. This means user applications iterating over and opening files in...

square pyramidal number, the sum of the third and last trio of three-digit permutable primes in decimal: 199 + 919 + 991 2113 – Proth prime, centered square...

+ z−1 P on CN ⊗ {\displaystyle \otimes } CN, where P is the operator permuting the tensor factors, the above relations can be written more simply as...

American Master: A Creepy Corpus of Facts About Stephen King & His Work. Permuted Press+ORM. p. 83. ISBN 978-1-682616-07-9. Wood, Rocky; King, Stephen (2017)...

1/2, 1/2, 1/2, 1/2, 1/2, 1/2), and the 24 other vectors obtained by permuting the first six coordinates of these three vectors. These 27 vectors correspond...

36.5688 {{citation}}: Cite uses deprecated parameter |citeseerx= (help) Permuter, Haim Henry; Weissman, Tsachy; Goldsmith, Andrea J. (February 2009). "Finite...

and each clue-giver only clues to one player at a time, with the pairs permuting after each round. Both the giver and the guesser receive a point for each...

permuting the two children of the upper left vertex, 2 ways of permuting the two children of the upper middle vertex, and 5! = 120 ways of permuting the...

twelve-tone technique, e.g., Stockhausen's Klavierstücke I–IV (which use permuted sets), his Stimmung (with pitches from the overtone series, which is also...

Eerie Adventures of the Lycanthrope Robinson Crusoe. ISBN 978-1934861523. Permuted Press, 2010. Print. Rojas, Pete. "Bootleg Culture Archived 2006-06-17 at...

they dsDNA is also permuted circularly. Whereas, members of Firehammervirus have a larger genome with more proteins and a liner permuted dsDNA complex. For...

namely some byte- and bit-level acceleration; Parity, Population count, Bit permute and Compare byte. The FPU is taken straight from the PowerPC e600 core...

2021). Warning: This is Not a Motivational Story. Brentwood, Tennessee: Permuted Press. ISBN 978-1682619858 The Guardian San Jose Mercury News BBC News...

stabilizer of 4 is the group of permutations in S4 that map 4 to 4, while permuting { 1 , 2 , 3 } {\displaystyle \{1,2,3\}} in an arbitrary way; it is generated...

stramenopiles comprise the largest diversity of secondary structures. The permuted mitochondrial 5S rRNAs in brown algae represent the most unconventional...

through the domain (and consequently through the matrix, if one were to permute rows and columns of the matrix in such a way that the diagonal entries...

2-cycles are, respectively, −1, 1/2, 2, and this set is also preserved and permuted by the 3-cycles. This corresponds to the action of S3 on the 2-cycles (its...

number of times of the trivial bundle. The representation is unique up to permuting factors. The same result holds in algebraic geometry for algebraic vector...

content they deemed offensive and non Sikh in the early rahit-namas and the permuting of Sikh history towards a certain trajectory. Many Sikhs today assert...

from the University of Cambridge with the dissertation Centrality and Permutability in Soluble Groups (1970). Lennox was awarded a Doctor of Science degree...

G} . Since the set { 2 , … , n } {\displaystyle \{2,\ldots ,n\}} can be permuted in ( n − 1 ) ! {\displaystyle (n-1)!} ways, we find that s n ( G ) {\displaystyle...

line that are not incident to each other (an anti-flag), and six ways of permuting the Fano plane while keeping an anti-flag fixed. For every non-incident...

pipeline covering many instructions at once, or more likely, they can permute the stack such that they can work on other workloads while the load completes...

permutation and the numbers less than it and greater than it are separately permuted among themselves. In connection with Waring's problem, 223 requires the...

October 26, 2022. Spignesi, Stephen (2018). Stephen King, American Master. Permuted Press+ORM. p. 321. ISBN 978-1-682616-07-9. Wood, Rocky; King, Stephen (2012)...

H(sk−1tks1,...,sk−1tk−1sk−1, 1). The group Sk induces automorphisms of N by permuting the entries and fixes the subgroup H and so acts on the set Ω. Also, note...

Was A Light: The Cosmic History of Chris Bell and the Rise of Big Star. Permuted Press. p. 188. Jovanovic, Rob (2004). Big Star: the story of rock's forgotten...

subsequence of the permutation that defines the graph (assuming the original non-permuted sequence is sorted from lowest value to highest). Similarly, the maximum...

ISSN 1053-587X. S2CID 16705014. Feintuch, S.; Tabrikian, J.; Bilik, I.; Permuter, H. (2023-04-18). "Neural Network-Based DOA Estimation in the Presence...

with i = 1, ..., 7 modulo 7 and the indices i, i + 1 and i + 3 allowed to permute evenly. Together with anticommutativity this generates the product. This...

append 3 new points and let the automorphisms in PΓL(3,4) but not in M21 permute these new points. An S(3,6,22) system W22 is formed by appending just one...

algebra Degree of a permutation group, the number of elements that are permuted Degree of a differential equation, the power of the highest derivative...

the formula to maximum effect.[citation needed] Since most of these permutative arrangements have their origin in Hermetic Qabalah, many of the formulae...

cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval Full reptend Unique Happy...

Regiment: The 504th Parachute Infantry Regiment in Sicily and Salerno, Permuted Press LLC, 2022. van Lunteren, Frank (2014). The Battle of the Bridges:...

Microscopy. Permuted forms of group II introns are conserved in some bacteria, but their biological function is unknown. In these permuted forms of the...

Headshot Quartet" collection, Permuted Press, March 2008) With a Face of Golden Pleasure ("Elements of the Apocalypse", Permuted Press, December 2011) Choose...

Chinese-style verismo, reminiscent of Russian opera but at the same time permuted by distinctly Chinese ..." CHCNPA:http://en.chncpa...

Regiment: The 504th Parachute Infantry Regiment in Sicily and Salerno. Permuted Press. Jones, Robert (2005). The History of the 101st Airborne Division...

implement switch statements. Multiplicative binary search operates on a permuted sorted array. Keys are stored in the array in a level-order sequence of...

permutation of the form described above. For even-order n {\displaystyle n} , permute the rows and columns by permutation p {\displaystyle p} where p ( i ) =...

is forced to consist of the first k items in the set of n items being permuted, for some k. In the former case, a partial permutation of length k from...

72–83. Bibcode:1995ITSAP...3...72R. doi:10.1109/89.365379. S2CID 7319345. Permuter, H.; Francos, J.; Jermyn, I.H. (2003). Gaussian mixture models of texture...

to create a single-week Kirkman solution in such a way that it could be permuted according to a specific permutation of cycle length 13 to create disjoint...

Naturally ordered Hadamard matrix permuted into sequency-ordered Walsh matrix. The number of sign changes per row in the naturally ordered matrix is (0...

for octonion multiplication with e0 = 1. The others can be obtained by permuting and changing the signs of the non-scalar basis elements {e1, e2, e3, e4...

Regiment: The 504th Parachute Infantry Regiment in Sicily and Salerno., Permuted Press, LLC, 2022. Frank van Lunteren, The Battle of the Bridges: The 504th...

W\}.} Let X be a set of subspaces of H such that the elements of X are permuted by the action of G on subspaces and H is the (internal) algebraic direct...

reported. This methods include, but are not limited to the following: PERMUTE-random circular permutation, random protein truncation, random nucleotide...

monadic predicate logic, the modal logic S5, and the Boolean logic of (un)permuted relations, are all fragments of PFL. The following algorithm is adapted...

The Savage Land (Yuanye, 1987) features a Chinese-style verismo, reminiscent of Russian opera but at the same time permuted by distinctly Chinese ..."...

10n−1, in order to match a decimal n-digit number with no leading 0. Permutable prime Sloane, N. J. A. (ed.). "Sequence A077390". The On-Line Encyclopedia...

Consider the symmetric group S 3 {\displaystyle S_{3}} acting on R3 by permuting the coordinates. We add up the sum by group elements, as follows. Starting...

dynamics of interacting species of fish the next year. 1912. The theory of permutable functions. Princeton University Press. 1913. Leçons sur les fonctions...

equivalent to a Frankl family, meaning that it coincides with one after permuting the coordinates. More explicitly, if ( k − t + 1 ) ( 2 + t − 1 r + 1 )...

the Golay code, acts as sign changes on vectors of the frame, while M24 permutes the 24 pairs of the frame. Co0 can be shown to be transitive on Λ4. Conway...

variation. The chlorovirus PBCV-1 has a linear 330 kb genome with non-permuted double-stranded DNA that is covalently closed by hairpin termini. Similarly...

degree ⁠ n {\displaystyle n} ⁠ is related to the ways of rearranging ("permuting") ⁠ n {\displaystyle n} ⁠ terms, called the symmetric group on ⁠ n {\displaystyle...

\displaystyle {{\mathfrak {g}}=\oplus _{i=1}^{N}{\mathfrak {g}}_{i},}} which are permuted by the automorphism σ. If σ leaves an algebra g 1 {\displaystyle {\mathfrak...

as OLL (Orientation of the Last Layer). Then, all of those pieces are permuted to their correct spots. This is also usually performed as a single set...

(review)[permanent dead link] Reed, W. Craig (2020). Spies of the Deep. US: Permuted Press. pp. Chapter 4. ISBN 978-1682618011. "N-SUB UNDAMAGED IN FREIGHTER...

square (for example, turning it upside down). If we permute the rows, permute the columns, or permute the names of the symbols of a Latin square, we obtain...

"Mémoire sur le nombre de valeurs que peut prendre une fonction quand on y permute les lettres qu'elle renferme.", Journal de l'École Royale Polytechnique...

ncflint netCDF file interpolator ncks netCDF kitchen sink ncpdq netCDF permute dimensions quickly, pack data quietly ncra netCDF record averager ncrcat...

actually played as part of the real historical game. Some authors also permute certain moves, deviating from Kieseritzky's report, although such permutations...

constructed. One need only to carefully keep track of the sign, when permuting elements. In this case, the (anti-)commutator of the superalgebra lifts...

just the permutation group on n {\displaystyle n} elements, acting by permuting the diagonal entries of matrices in h {\displaystyle {\mathfrak {h}}}...

American Master: A Creepy Corpus of Facts About Stephen King & His Work. Permuted Press. p. 323. ISBN 978-1-68261-607-9. "Stephen King: awards summary"....

story was "Something Fishy This Way Comes" in The Undead: Skin & Bones (Permuted Press). Frozen Blood has been said to have been inspired by the Great Ice...

,t^{X}} . PSL 2 ⁡ ( 11 ) {\displaystyle \operatorname {PSL} _{2}(11)} permutes these involutions under the exceptional 11-point representation, so they...

the maximum is attained at X. Since the symmetric group Sn, acting by permuting the coordinates, lies in K, if X is not diagonal, it can be supposed that...

{\displaystyle S_{n}} acts on any set with n {\displaystyle n} elements by permuting the elements of the set. Although the group of all permutations of a set...

{\displaystyle \mathbb {R} ^{8}} , and form all 28 vectors obtained by permuting its components. The dot product of two of these vectors equals 8 if both...

operations: they are the coordinates that do not move as similar atoms are permuted during symmetry transformations. Three basic symmetry operations can be...

that Webern made a fundamental break with Arnold Schoenberg's method by permuting the trichords of the row. He also highlights the serial ordering of parameters...

in a ∗ {\displaystyle {\mathfrak {a}}^{*}} , the various choices being permuted by the Weyl group W = M ' / M, where M ' is the normaliser of A in K. The...

does not contribute to the hardness of the problem. That means, if we permute all input strings according to a certain permutation π and obtain a solution...

{\displaystyle \sigma } acts measurably on X N {\displaystyle X^{\mathbb {N} }} by permuting the components, and so we have an action of the countable group S ∞ {\displaystyle...

PMID 15109492. S2CID 16049289. Soma A (1 April 2014). "Circularly permuted tRNA genes: their expression and implications for their physiological relevance...

Schnitzler wrote, "Because the Ringing [of] the Changes is automated, permutable, and ongoing, with Strickland and her team of programmers setting it into...

CW complex of dimension n with a free action of a discrete group G that permutes the cells, then cd Z ⁡ ( G ) ≤ n {\displaystyle \operatorname {cd} _{\mathbb...

±1 (by property 1 and 3 - the minus sign appears when the columns are permuted according to an odd permutation), so the linear combination gives the expression...

"Ken Nolan". Simon & Schuster. Nolan, Ken (February 15, 2015). The Spawn. Permuted Platinum. ISBN 9781618685131. "TRANSFORMERS: Akiva Goldsman Adds Ken Nolan...

identified with P5(C)". The group of its projectivities is then the group that permutes conics. About Segre, Hawkins writes "shortly after he assumed the chair...

American Master: A Creepy Corpus of Facts About Stephen King & His Work. Permuted Press+ORM. p. 1,982. ISBN 9781682616079. Judd Blaise (2015). "Needful Things...

the Melissa Allen series - Permuted Press, January 2016 2015 Never Let Me Die, Book 3 of the Melissa Allen series - Permuted Press, December 2015 Never...

Association. Hans Beck compared split-quaternion transformations to the circle-permuting property of Möbius transformations in 1910. The split-quaternion structure...

Computing and Information Sciences. Cohen, Ariel; Rimon, Inbal; Aflalo, Eran; Permuter, Haim H. (June 2022). "A study on data augmentation in voice anti-spoofing"...

(CM), named after Elizabeth Cuthill and James McKee, is an algorithm to permute a sparse matrix that has a symmetric sparsity pattern into a band matrix...

which are being distributed into n slots and a permutation group G which permutes the slots, thus creating equivalence classes of configurations. There is...

ISBN 978-1-851094-70-7. Weir, William (2019). 50 Weapons That Changed Warfare. Permuted Press. ISBN 978-1-61530-752-4. Ramsey, Syed (2016). Tools of War: History...

PAL TV signal are shifted in time by one video field, and read out in permuted order under the control of a pseudorandom number generator. A smartcard...

"Image Reactor"®, an interactive Laser-Disc installation using complex permutative image-matrixes to simulate visual thinking. Early publications on artificial...

(Substitution boxes) with the hex digits of pi P, S ← InitialState() //Permute P and S based on the password and salt P, S ← ExpandKey(P, S, password...

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repeatedly permutes the DNS resource records with low time to live (TTL) values, conventionally between 180 and 600 seconds. The permuted record within...

{tr} (AV).} This is true based on the fact that one can cyclically permute matrices when taking a trace without changing the result (e.g.: tr ⁡ (...

antiprismatic hyperprism It is a Hanner polytope with vertex coordinates, permuting first 3 coordinates: ([±1,0,0]; ±1) The octahedral prism consists of two...

scale factor. Most averages remain identical when the list of items is permuted, i.e. the ordering does not matter. In descriptive statistics, the mean...

vertices: 24 roots by (±1, ±1, 0, 0), permuting coordinate positions Dual 24-cell vertices: 8 roots by (±1, 0, 0, 0), permuting coordinate positions 16 roots...

a □ b>c → b, c := c, b □ c>d → c, d := d, c od The program keeps on permuting elements while one of them is greater than its successor. This non-deterministic...

ensemble of high-accuracy alignments by perturbing a hidden Markov model and permuting its guide tree. At its core, the algorithm is a parallelized reimplementation...

indistinguishable in quantum mechanics, this approximately relates to several permutable particles. The permutations of n identical particles constitute the symmetric...

this group correspond to permuting the six vertices of the K6 graph; these permutations act on the Tutte–Coxeter graph by permuting the vertices on each side...

of the Philippines but the latter has dimensions 1:2, the three colours permuted, and additional golden-yellow symbols added on it. Czech Republic tricolour...

This is followed by a permutation operation in two stages; the first permutes each byte under a fixed permutation. The second stage mixes bits between...

accident analysis ISO 12353-1:2002 Part 1: Vocabulary ISO/IEC TR 12382:1992 Permuted index of the vocabulary of information technology ISO 12417 Cardiovascular...

→ F 3 2 {\displaystyle m:\mathbb {F} _{3}^{2}\to \mathbb {F} _{3}^{2}} permute the four one-dimensional subspaces of F 3 2 , {\displaystyle \mathbb {F}...

obtained from ( 0 , 0 , 0 , ± 1 ) {\displaystyle (0,\,0,\,0,\,\pm 1)} by permuting coordinates, and 16 vertices of the form: ( ± 1 2 , ± 1 2 , ± 1 2 , ±...

LCGs with a large prime modulus of abr−1 and a power-of-2 multiplier b. A permuted congruential generator begins with a power-of-2-modulus LCG and applies...

between the two subsets Ef and Eb) very unlikely to happen. With a randomly permuted vertex ordering, the expected number of iterations needed in the main loop...

Particular Contexts". Retrieved 13 December 2015. Castaneda, Jorge. "Mexico: Permuting Power", New Left Review 7 (January–February 2001); accessed 13 December...

finitely many Borel subgroups containing a given maximal torus, and they are permuted simply transitively by the Weyl group (acting by conjugation). A choice...

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

3163-3172, June 2010. Marinberg, Ben; Cohen, Ariel; Ben-Dror, Eilam; Permuter, Haim H. (14 December 2020). "A Study on MIMO Channel Estimation by 2D...

Let A(T) denote the set of all automorphisms of T. (An automorphism of T permutes vertices preserving connectedness.) The Grigorchuk's group Γ is the subgroup...

h_{n})\to (h_{1},h_{2},\ldots ,h_{i}h_{i+1},\ldots ,h_{n})} while the other permutes the two elements in the drop: ( h 1 , h 2 , … , h n ) → ( h 1 , h 2 , …...

(r_{i})W} , and the linear transformation ρ ( g ) {\displaystyle \rho (g)} permutes these subspaces, since ρ ( g ) ∘ ρ ( r i ) W = ρ ( g r i ) W = ρ ( r i...

Initial thematic statement of the tone row, mm. 2–4, cyclically permuted to begin on E♭ in mm. 7–9...

Dog & Leventhal. ISBN 9780762471232. Blake, Mark (2022). Magnifico! The A to Z of Queen. New York: Permuted Press. ISBN 9781637585917. Queen Concerts...

permutations of indices in the ε symbol does not change its value, cyclically permuting indices in εkℓm to obtain εℓmk allows us to use the above δ-ε identity...

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many natural numbers can be seen as acting on Q {\displaystyle Q} by permuting coordinates. The group action ⋅ {\displaystyle \cdot } also acts diagonally...

cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval Full reptend Unique Happy...

function of MurmurHash3. Included in Java Development Kit 8 and above. Permuted Congruential Generator (PCG) 2014 M. E. O'Neill A modification of LCG....

permuting the order of the voters does not change the result. Neutrality: The social choice function treats all outcomes the same, i.e. permuting the...

octal and other formats paste – Merges lines of files ptx – Produces a permuted index of file contents pr – Paginates or columnates files sha1sum, sha224sum...

is possible because the counts are always over the entire array, and permuting elements of the array does not change the resulting counts. Binary MSD...

distribution used for this expectation is that the x {\displaystyle x} input is permuted by a permutation π {\displaystyle \pi } picked uniformly at random (and...

imaginary part of each zi−zi−1 lies in the open positive timelike cone. By permuting the variables we get n! different Wightman functions defined in n! different...

is multiplicatively closed.) aS ∩ sR is not empty; (The set S is right permutable.) If sa = 0, then there is some u in S with au = 0; (The set S is right...

case of permuted-block randomization is random allocation, in which the entire sample is treated as one block. The major disadvantage of permuted-block...

American Master: A Creepy Corpus of Facts About Stephen King & His Work. Permuted Press+ORM. pp. 351–352. ISBN 978-1-682616-07-9. Collins, Michael (2002)...

action of the row permutations, the subgroup of Sn of permutations that permute the positions in each row separately (this "Young subgroup" is a product...

allowed Permute two-source double-precision floating-point values. VPERMIL2PD ymm1,ymm2,ymm3/m256,ymm4,imm4 VEX.NP.0F3A 49 /r /is4 Yes Yes Permute two-source...

j {\displaystyle e_{j}} , that is, if and only if x {\displaystyle x} permutes the standard basis elements, up to multiplication by some constants. The...

procedure in which a protein structure is aligned to itself after circularly permuting the second copy by all possible number of residues no no RAPHAEL 2012...

can be done on the real projective line. The Cayley transform here will permute the elements of {1, 0, −1, ∞} in sequence. For example, it maps the positive...

{\displaystyle \lambda _{w(i)}=\lambda _{i}} for all i, and w acts on variables by permuting indices. The Murnaghan–Nakayama rule expresses a product of a power-sum...

4.0329 × 1026 = 288.4, the number of ways in which the alphabet can be permuted. Assuming all keys are equally likely, H(k) = log2(26!) = 88.4 bits. For...

surface is defined as above (note that the mapping classes are allowed to permute the punctures, but not the boundary components). Any annulus is homeomorphic...

The number of discordant pairs is equal to the inversion number that permutes the y-sequence into the same order as the x-sequence. The denominator is...

and Rocking the MTV Eighties. It was offered in a hardcover edition by Permuted Press, a Kindle edition, and an Audible audio book, which she narrated...

American Master: A Creepy Corpus of Facts About Stephen King & His Work. Permuted Press+ORM. p. 1956. ISBN 978-1-68261-607-9. Retrieved August 26, 2025....

Aqueduct Press, 2017 Other Places, Aqueduct Press, Oct. 2016 Glorious Plague, Permuted Press, April 2014 The Inner City, ChiZine Publications, Canada, 2013 The...

between. The form { }∨{ }∨{ } has symmetry [2,2,1,1], order 8, extended by permuting 3 segments as [3[2,2],1] or [4,3,1,1], order 48. These are seen in the...

Missouri, in 2009. Devinatz, A.; ——; Neumann, J. Von (1955). "On the Permutability of Self-Adjoint Operators". The Annals of Mathematics. 62 (2): 199–203...

to obtain a new Markov triple from an old one (x, y, z). First, one may permute the 3 numbers x,y,z, so in particular one can normalize the triples so...

Atomic Bomb Provided the Groundwork for North Korea's Nuclear Program. Permuted Press (third edition). ISBN 978-1682618967. Maga, Judgement at Tokyo Fuller...

the following elementary operations: permute rows scale rows by a nonzero scalar add rows to other rows permute columns, and scale columns by a nonzero...

quickly, certain actions, such as attack and blocking resolution, are permuted and evaluated (a considerably fast process), and then are sorted in order;...

automaton, is a deterministic finite automaton such that each input symbol permutes the set of states. Formally, a deterministic finite automaton A may be...

larger than DES's 8 6→4 bit S-boxes.) Fifth, the S-box output bits are permuted so that each S-box's outputs are routed to each 4-bit field of 32-bit word...

and written in a programmable order (or vice versa). This type of switch permutes time-slots in a time-division multiplexed signal that goes to the space-division...

GluSnFR fluorescence. The widely used iGluSnFR consists of a circularly permuted enhanced green fluorescent protein (cpEGFP) fused to a glutamate binding...

Beginning (DIN 31626, ISO 6630) Marks the start of a string which is to be permuted to the front of the element when references or indices are generated. Terminated...

array consists of colored clocks representing a DFT matrix of size 11. By permuting rows and columns (except the first of each) according to sequences generated...

acting upon the operator algebra with the intended interpretation of permuting the N {\displaystyle N} particles. Quantum mechanics requires focus on...

language by NVIDIA ptx (Unix), a Unix command-line utility producing a permuted index .ptx, RAW image format for Pentax cameras .ptx, the file extension...

Cosmic History of Chris Bell and the Rise of Big Star. New York City: Permuted Press. ISBN 978-1-68261-929-2. Wall, Mick (2019). When Giants Walked the...

to n. The proof hinges on the fundamental fact that multiplication by a permutes the xi: in other words if axj ≡ axk (mod n) then j = k. (This law of cancellation...

Babel Image Archives is a sister project to The Library of Babel which permutes 4096 colours onto a grid of 416×640 pixels. Creighton, Jolene (29 April...

{\displaystyle S_{5}} of order 120; that is, there are 120 different ways of permuting the points and lines of the configuration in a way that preserves its...

critical aspects. First, the order of multivariate data in PCA can be permuted, which has no effect on the analysis, but the order of functional data...

own Schur covers. Explicitly, Sn acts on the n-dimensional space Rn by permuting coordinates (in matrices, as permutation matrices). This has a 1-dimensional...

virions. The ranavirus genome, like other iridoviral genomes is circularly permuted and exhibits terminally redundant DNA. There is evidence that ranavirus...

"Mémoire sur le nombre de valeurs que peut prendre une fonction quand on y permute les lettres qu'elle renferme.", Journal de l'École Royale Polytechnique...

probability. In general, all possible realizations can be generated by permuting the stubs of all vertices in every possible way. The number of permutation...

prepared from the following sixteen substances, if every four of them are permuted variously at will and that in one, two or four parts. The substances are...

The encoded bits b {\displaystyle b} are then interleaved. Interleaving permutes the order of the code bits b {\displaystyle b} resulting in bits c {\displaystyle...

which characters, literary references and other elements of the narrative permute in a regulated manner. As in the poetic sestina, the last word of a chapter...

properties." More intuitively, actors are automorphically equivalent if we can permute the graph in such a way that exchanging the two actors has no effect on...

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that the total cost of assignment is minimum. This can be expressed as permuting the rows of a cost matrix C to minimize the trace of a matrix, min P Tr...

also have the side-effect of changing other parts of the cube (such as permuting some edges). Such algorithms are often simpler than the ones without side...

Kidder, William L. (2017). Crossroads of the Revolution: Trenton 1774–1783. Permuted Platinum. ISBN 978-0-99805-931-0. N.C. (Newell Convers) Wyeth on steps...