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Examples of the the word, bracket , in a Sentence Context

The word ( bracket ), is the 6069 most frequently used in English word vocabulary

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  1. A Lie algebra L (A). As a vector space, L (A) is the same as A. The Lie, bracket ,of two elements of L (A) is defined to be their commutator in A:: a, b=a The
  2. Typographical sign for a smile — some sort of concave mark, a supine round, bracket , which I would now like to trace in reply to your question. " Pre-1980
  3. Equivalent to 4. (It could also be written, without taking advantage of the, bracket , as phone_book. Item (" JILL SMITH" ): = New_person. Note: The argument list
  4. Lie algebra over a field is Abelian, by the antisymmetry of the Lie, bracket , *The three-dimensional Euclidean space R3 with the Lie bracket given by the
  5. Single-elimination bouts, usually to 15 touches. The winners advance in the, bracket , and the losers are eliminated from the tournament. Wheelchair Fencing
  6. Seat stays. The chain stays run parallel to the chain, connecting the bottom, bracket ,to the rear fork ends. The seat stays connect the top of the seat tube (at or
  7. 89602 to 90601) were fitted with telescopic sights on a specially constructed, bracket , Issued five to each company, they were meant to be used against enemy officers
  8. X (1 - F (x) ) \right_0^\nifty + \int_0^\nifty (1 - F (x))\; DX and the, bracket ,vanishes because 1-F (x) = o (1/x) as x \to \nifty.: \int_0^\nifty P (X\GE
  9. Examples *Any vector space V endowed with the identically zero Lie, bracket ,becomes a Lie algebra. Such Lie algebras are called Abelian, cf. below. Any
  10. Years when it was determined the survey also included people who play NCAA, bracket ,pools, which are not exactly fantasy sports (where you pick individual players
  11. Steel crown anchored to the top of the tower, twelve giant steel and wooden, bracket ,forms were slowly raised, ultimately taking about a week to crawl up to their
  12. Of the Lie bracket . *The three-dimensional Euclidean space R3 with the Lie, bracket ,given by the cross product of vectors becomes a three-dimensional Lie algebra.
  13. In the tax policy a simple tax code is called for. The party supports a, bracket ,income tax system, as opposed to the current 'linear' system, and,in the
  14. The brakes to avoid going too fast. Many local tracks have also complained that, bracket ,racers will also go out of their way to spend as little as possible while at
  15. n.: Here the expression m 0 has the value 1 if m 0 and 0 otherwise (Iverson, bracket ,). Whenever a confusion between the two kinds of definitions might arise it can
  16. Φ in the dual space V* and an element x of V is sometimes denoted by a, bracket ,: or. The pairing defines a nondegenerate bilinear mapping. Finite-dimensional
  17. Because the inner product (or dot product) of two states is denoted by a, bracket , \angle\phi|\psi\range, consisting of a left part, \angle\phi |, called the
  18. So represented with respect to every basis. By using the commutator as a Lie, bracket , every associative algebra can be turned into a Lie algebra. The commutator of
  19. With pedals which rotate the cranks, which are held in axis by the bottom, bracket , Most bicycles use a chain to transmit power to the rear wheel. A relatively
  20. Systems could generally cope with only one variant anyway. Because the, bracket ,and brace characters of ASCII were assigned to" national use" code points
  21. Cosmic axis on which the Buddha is seated. Goddess: There is a goddess on the, bracket ,of the first pillar on left in the interior. She is standing under a fully
  22. Cdot, \dot: \Mather\times\Mather\to\Mather called the Lie, bracket , which satisfies the following axioms::: an x + b y, z an x, z + b y, z,\quad z
  23. Hoover Dam, tariffs such as the Smoot-Hawley Tariff, and raising the top tax, bracket ,from 25 % to 63 % none of which produced economic recovery during his term. The
  24. From the earlier models by being stocked all the way to the muzzle; the, bracket ,for the bayonet was moved from the barrel to under the stock. The M1912 carbine
  25. Raises an exception after its caller has itself finished). Operator and, bracket ,syntax, assigner commands Eiffel's view of computation is completely
  26. Combination of a bra with a KET to form a complex number is called a bracket or, bracket , The bra is simply the conjugate transpose (also called the Hermitian
  27. By gets and the linear functional by bras. In these more general contexts,the, bracket ,does not have the meaning of an inner product, because the Raise representation
  28. The expression n even has the value 1 if n is even and 0 otherwise (Iverson, bracket ,). These identities show that the quotient of Bernoulli and Euler numbers at
  29. Of celebrity in different regions, it is difficult to place people within one, bracket , A Brazilian actor might be a B-list action film actor in the US, but an A-list
  30. Under (quicker than) their index" break out" and lose. The slowest cars, bracket ,racers, are also handicapped, but rather than an index, they use a" dial-in ".
  31. Introduces the first income tax in Canada as a" temporary" measure (lowest, bracket ,is 4 % and highest is 25 %). *1925 – Telegraph Agency of the Soviet Union (
  32. Have the property that the terminal symbols are divided into left and right, bracket ,pairs that always match up in rules. * Linear grammars have no rules with more
  33. Those matrices X for which: :\exp (TX)\in G\, : for all real numbers t. The Lie, bracket ,of \Mather is given by the commutator of matrices. As a concrete example
  34. Of a Lie algebra which is the tangent space at the unit endowed with the Lie, bracket ,between left-invariant vector fields. Beside the structure theory there is also
  35. To scientific inquiry (and specifically to psychology) and what it means to ", bracket ," the natural attitude. The Crisis of the European Sciences is Husserl's
  36. Would hold if the product XY were antisymmetric (if the product were the Lie, bracket , that is, xy \equiv M (x, y ) = x, y ), thus turning the associative algebra
  37. 20-25 %) is sometimes cut from the competition prior to the direct elimination, bracket , Fencers are then placed into a bracket based on the seeding and fence
  38. Put as the assigner command associated with item and, combined with the, bracket ,alias, makes 5 legal and equivalent to 4. (It could also be written, without
  39. The columns have square bases, round shafts, and rich bands of carvings on, bracket ,capitals. Standing Buddha: There is a Standing Buddha on the tall stop. The
  40. But less common). With a shaft drive transmission, a gear set at the bottom, bracket ,turns the shaft, which then turns the rear wheel via a gear set connected to
  41. Every class may in addition have one function aliased to" ", the ", bracket ," operator, allowing the notation an i, ... as a synonym for a. f (i, ...)
  42. Seat tube at the top, and the down tube connects the head tube to the bottom, bracket , The rear triangle consists of the seat tube and paired chain stays and seat
  43. Of the major new mechanisms—in particular, inline agents, assigner commands, bracket ,notation, non-conforming inheritance, and attached types. The Smart Eiffel team
  44. Universal enveloping algebra. Homomorphism, subalgebras, and ideals The Lie, bracket ,is not an associative operation in general, meaning that x, y,z need not equal
  45. cc straight-4 gasoline engine, it was classified under the cheaper Key car tax, bracket , The first production car from Honda was the S500 sports car, which followed
  46. Prior to the direct elimination bracket . Fencers are then placed into a, bracket ,based on the seeding and fence single-elimination bouts, usually to 15 touches.
  47. Gunners to get ranging information from the three shots more quickly than the, bracket ,system, which required waiting between shots to see how the last had landed.
  48. In this case it is particularly useful to insert the unit operator into the, bracket ,one time or more (for more information see Resolution of the identity).
  49. That change the structure,e.g. put ... -- etc. end In contrast to most curly, bracket ,programming languages, Eiffel makes a clear distinction between expressions and
  50. Algebras. A subspace \Mather \subset \Mather that is closed under the Lie, bracket ,is called a Lie subalgebra. If a subspace I\subset\Mather satisfies a

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