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

The word ( scalar ), is the 17404 most frequently used in English word vocabulary

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  1. Symbols, called 'packages '. A number of functions are available for rounding, scalar ,numeric values in various ways. The function round the argument to the
  2. Banach space, then the polarization identity is given by (assuming that, scalar ,product is linear in first argument):: \angle u, v\range = \franc \left (
  3. To Vladimir Rock, Wendell Furry and Robert Oppenheimer. If one quantizes a real, scalar ,field, then one finds that there is only one kind of annihilation operator;
  4. X o or y o. (This is seen by writing the null vector o as 0·o and moving the, scalar ,0" outside ", in front of B, by linearity. ) The set L (V, W; X) of all
  5. Of fine-tuning (called a hierarchy problem): the energy density given by the, scalar ,potential is down by 10−12 compared to the Planck density. This is not usually
  6. Rangle \angle \psi | A | \psi \range holds (for the first equality, use the, scalar ,product's conjugate symmetry and the conversion rule from the preceding
  7. The emphasis here is that vectors are closed under addition, subtraction,and, scalar ,multiplication, and permit scalar division. ). This assumes an implicit point
  8. Hybrid inflation, is an extension of new inflation. It introduces additional, scalar ,fields, so that while one of the scalar fields is responsible for normal slow
  9. Instead of tunneling out of a false vacuum state, inflation occurred by a, scalar ,field rolling down a potential energy hill. When the field rolls very slowly
  10. Decay in the early universe would solve the problem, leading him to propose, scalar ,driven inflation. Starobinski's and Guth's scenarios both predicted an
  11. Commutativity: f; Associativity: f; Distributivity: f; Associativity with, scalar ,multiplication: a (f for any real (or complex) number \, .; Multiplicative
  12. Some cases, the individual hydrogen bonds can be observed directly as a small, scalar ,coupling in NMR. There are several lower-resolution methods for assigning
  13. Can operate on only one instruction at a time, can only possibly reach, scalar ,performance (one instruction per clock). However, the performance is nearly
  14. Sound),as well as many types of scientific and engineering tasks. Whereas a, scalar ,CPU must complete the entire process of fetching, decoding,and executing each
  15. Above identity is sometimes written with I'd standing in the place of s, with, scalar , multiplication being implicitly understood. Coalgebras An associative unitary
  16. To the dimensional symbols attached to those quantities; this corresponds to, scalar ,multiplication in the vector space. A basis for a given vector space of
  17. U_n - \math bf\dot\math bf)~\text + \int_ \bar~\text + \int_ \rho~r~\text. The, scalar ,entropy flux can be related to the vector flux at the surface by the relation
  18. From any KET | \psi\range in this Hilbert space, we can define a complex, scalar ,function of x, known as a wave function:: \psi (\math bf) \ \stack rel\ \Lang
  19. Always sub scalar (less than one instruction per cycle). Attempts to achieve, scalar ,and better performance have resulted in a variety of design methodologies that
  20. To discard the pseudovector nature of angular momentum, and treat it like a, scalar ,where it is positive when it corresponds to a counter-clockwise rotation, and
  21. In such cases variables are represented through vectors instead of simple, scalar ,values. For some distributed parameter systems the vectors may be
  22. C_2\angle\phi|\psi_2\range. * By the definition of addition and, scalar ,multiplication of linear functional in the dual space, : :\big (c_1
  23. The ring-theoretic direct product. This becomes an R-algebra with the obvious, scalar ,multiplication.; Free products: One can form a free product of R-algebras in a
  24. Is offered by inflationary theory in which a homogeneous and isotropic, scalar ,energy field dominates the Universe at some very early period (before
  25. Is then: H =\franc \left (\math bf -\franc \right)^2 + e\phi where \phi is the, scalar ,potential. This is the Hamiltonian that gives the Lorentz force law. The
  26. Not very significantly so). A pipeline processor can become very nearly, scalar , inhibited only by pipeline stalls (an instruction spending more than one
  27. Multiple pieces of data in the context of one instruction. This contrasts with, scalar ,processors, which deal with one piece of data for every instruction. Using
  28. And one output (product),as well as a morphism K→A identifying the, scalar ,multiples of the multiplicative identity. These two morphisms can be dualized
  29. Field to decay into a much lower energy state. In hybrid inflation, one of the, scalar ,fields is responsible for most of the energy density (thus determining the
  30. Chosen to be, then e1 and e2 are one-forms (functions which map a vector to a, scalar ,) such that, and. (Note: The superscript here is the index, not an exponent
  31. Becomes a vector space over F when equipped with the following addition and, scalar ,multiplication:: \begin & (\phi + \psi) (x) = \phi (x) + \psi (x) \\ &
  32. And the mass and momentum balance equations) are often expressed in terms of a, scalar ,potential \var phi where \math bf = \tabla\var phi. In that case the acoustic wave
  33. Exemplify the language's best survival mechanism: not specifying the order of, scalar ,operations or the exact contents of memory. As standardized, in 1983 by ANSI
  34. X is F, and we have a bilinear form, is particularly useful (see for example, scalar ,product, inner product and quadratic form). The definition works without any
  35. New inflation. It introduces additional scalar fields, so that while one of the, scalar ,fields is responsible for normal slow roll inflation, another triggers the end
  36. Are closed under addition, subtraction,and scalar multiplication, and permit, scalar ,division. ). This assumes an implicit point of reference—an origin. While this
  37. Ket | \phi\range\angle\psi|\rho\range (where \angle\psi|\rho\range is a, scalar ,multiplying the vector | \phi\range). One of the uses of the outer product is
  38. Submodule of A. That is, it must be closed under addition, ring multiplication, scalar ,multiplication, and it must contain the identity element of A.; Quotient
  39. To eliminate the interpreter component. The compiler could compile many, scalar ,and vector operations to machine code, but it would rely on the APL interpreter
  40. Area. The dot product of the two vector quantities (A and J) is a, scalar ,that represents the electric current. Current density (current per unit area)
  41. Element k1 in A, where 1 is the unit element of A. The map s is just plain-old, scalar ,multiplication: s: K\times A \right arrow A; thus, the above identity is
  42. Dot 1 corresponds to the least significant bit of the low byte of the Unicode, scalar ,value, and dot 8 to the high bit of that byte. Most Braille embossers and
  43. The processors discussed earlier are all referred to as some type of, scalar ,device. As the name implies, vector processors deal with multiple pieces of
  44. In virtually any universe that begins in a chaotic, high energy state and has a, scalar ,field with unbounded potential energy. However, in his model the inflation field
  45. Its elements come from outside. An example of an external binary operation is, scalar ,multiplication in linear algebra. Here K is a field and S is a vector space
  46. Away, and everything becomes homogeneous very quickly. In either view, as the, scalar ,field slowly relaxes to the vacuum, the cosmological constant goes to zero, and
  47. Operator; therefore, real scalar fields describe neutral bosons. Since complex, scalar ,fields admit two different kinds of annihilation operators, which are related
  48. Steinhardt to be successful, therefore,it seemed that the universe must have a, scalar ,field with an especially flat potential and special initial conditions. Andrei
  49. One finds that there is only one kind of annihilation operator; therefore, real, scalar , fields describe neutral bosons. Since complex scalar fields admit two different
  50. The functions f (\math bf, t ), g (\math bf, t ), and h (\math bf, t ) can be, scalar ,valued, vector valued, or tensor valued - depending on the physical quantity

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