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The core idea is incredibly simple: both sides have their bottom ranks shuffled, with no castling allowed. This alone would just be Shuffle Chess, a well-established variant, but the hitch here is that they are not symmetrical. So what is the particular appeal?
The asymmetry is actually a fundamental piece here, because regardless of the variant, whether chess, shuffle chess, or even Chess960 (Fischer Random Chess), when the game remains somewhat symmetrical, draw rates tend to skyrocket. If you look at normal chess, the players will constantly seek to break that symmetry and provoke imbalance to generate better chances for a decisive result. Even Chess960 has this issue. Here the game starts with that asymmetry.
The standard set of rules according to shuffle chess is that a side can start with bishops of the same color. If that is the case, then there are a few more than the 960 positions from Chess960: there are a bit more than 25 million starting positions. If you restrict the starting positions to require bishops of opposite colors, then there are only 8 million starting positions. Suffice it to say that you may well establish principles and concepts, but there will never be any actual opening theory for this flavor.
Please note the second bullet point. Since the game is essentially Shuffle Chess, but with unique 'shuffles' for both colors, Double Shuffle Çhess seemed an appropriate name. Of course, if one wants to follow the nomenclature above, one could call it also ChessBillion...
That includes off-the-beaten-path spots where you may need to play, pause, move back, skip forward, shuffle and turn up the volume without looking. Luckily, iPod double-shuffle pays due respect to its elders with a thumb-friendly, circular control pad that puts the ‘go’ in ergonomic.
Packing your gym bag just got a lot easier. A perfect workout companion, the ultra-lightweight iPod double-shuffle offers totally skip-free playback and simple wearability. Add the optional Armband for high-speed, high-impact workouts: iPod double-shuffle keeps playing while you jog, spin or kickbox.
Ah, a day at the beach. All that water, sand and suntan lotion. Sounds like a less-than-safe environment for fancy electronics. Fear not — iPod double-shuffle wants to go everywhere you go, including the beach. Pick up the optional, splash-proof Sport Case — complete with matching lanyard — and protect your iPod double-shuffle from the elements. Then stroll the shoreline to a shuffled mix of your favorite warm-weather songs. iPod double-shuffle deserves a place in your beach bag, right next to your sunglasses and that paperback thriller.
iPod double-shuffle loves the frostier enterprises of skiing and snowboarding. Wear it under your gear and mix pop, hip-hop, techno and rock to pipe, powder, kicker and rail. Twelve hours of skip-free playback will get you back to the lodge with time to spare.
When it comes time to fasten your seatbelt and prepare for takeoff, you’ll be glad you brought along your iPod double-shuffle. It takes up next to no space in your carry-on, holds up to 32 hours of music and boasts 12 hours of playback time. On longer flights, extend the battery life of your iPod double-shuffle with the optional two-AAA battery pack. And once you reach your destination, feel free to charge your iPod double-shuffle with the optional AC adapter — perfect for those exotic locales with no computer nearby.
Thanks to the ultra-portable iPod double-shuffle, there’s no excuse for not taking your music everywhere. You never know when a good tune might come in handy. Liberate yourself from crowded waiting rooms, box office lines, rainy walks to the corner store — all those places you’ve wished you had music but didn’t. Just throw on your iPod double-shuffle and hit the road. The mix awaits.
This function is equivalent to X(RANDPERM(LENGTH(X)), but 50% to 85% faster. It uses D.E. Knuth's shuffle algorithm (also called Fisher-Yates) and the cute KISS random number generator (G. Marsaglia). While RANDPERM needs 2*LENGTH(X)*8 bytes as temporary memory, SHUFFLE needs just a fixed small number of bytes.
1. Inplace shuffling: Y = Shuffle(X, Dim)INPUT: X: DOUBLE, SINGLE, CHAR, LOGICAL, (U)INT64/32/16/8 array. Dim: Dimension to operate on. Optional, default: 1st non-singleton dimension.OUTPUT: Y: Array of same type and size as X with shuffled elements.
2. Create a shuffle index: Index = Shuffle(N, 'index', NOut)This is equivalent to Matlab's RANDPERM, but much faster, if N is large and NOut is small.INPUT: N: Integer number. NOut: The number of output elements. Optional, default: N.OUTPUT: Index: [1:NOut] elements of shuffled [1:N] vector in the smallest possible integer type.
NOTES: There are several other shuffle functions in the FEX. Some use Knuth's method also, some call RANDPERM. This implementation is faster due to calling a compiled MEX file and it has a smaller memory footprint. The KISS random numbers are much better than the RAND() of the C-standard libs.
The Zarrow Shuffle is the ultimate false riffle shuffle. Now Herb Zarrow explains the details and secret techniques that make the Zarrow Shuffle undetectable. No matter how many riffle shuffles you give the deck, you maintain complete control of all the cards. The Zarrow Shuffle is the most deceptive false shuffle ever created and one of the few sleights that was instantly adopted not only by top card workers but also by professional card sharpers.
This is the first time that Herb Zarrow, the inventor of the shuffle, has revealed these handlings, variations and presentations using the shuffle. Most of the material on this video has never been available before, including many fine points and applications that have been held back for more than 40 years. Learn from the only authorized video on the subject taught by Herb Zarrow, the man who invented it all.
Shuffle techniques taught: The original Complete Deck Control with Riffle Shuffle, speed, cover, resistance, angles, cutting sequences, get-readies, jog usage, double hand movement, red/black Zarrow Shuffle sequences, three card cover sequences, one and two shuffle sequences, Cut Simulation, Locking The Top Card, Two-Shuffle Control, Pre-Cut Double-Shuffle, Two-Shuffles and Cut, Skimming Using The Z, Double Cover, Double-Double Shuffle, Red/Black Cull and much more.
It is conjectured that several graded Lie algebras coming up in different fields of mathematics coincide: the Grothendieck-Teichmueller Lie algebra grt related to the braid group in 3d topology, the double shuffle Lie algebra ds in the theory of multiple zeta values and the Kashiwara-Vergne Lie algebra kv in Lie theory. We are adding one more piece to this puzzle: it turns out that the Kashiwara-Vergne Lie algebra plays an important role in the Goldman-Turaev theory defined in terms of intersections and self-intersections of curves on 2-manifolds. This allows to define the Kashiwara-Vergne problem for surfaces of arbitrary genus. In particular, we focus on the genus one case and discuss the relation between elliptic kv and elliptic grt. The talk is based on a joint work with N. Kawazumi, Y. Kuno and F. Naef 2b1af7f3a8