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

The word ( finite ), is the 7439 most frequently used in English word vocabulary

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  1. Ideas of topology of manifolds have deep analogues in algebraic geometry over, finite ,fields. Zeros of simultaneous polynomials In classical algebraic geometry, the
  2. The axiom of choice does not specify whether the collection of nonempty sets is, finite ,or in finite , and thus implies that every finite collection of nonempty sets has
  3. If, within the previous proof, the word“ algebraic” is replaced by the word “, finite ,”, then the proof is still valid. Every endomorphic of FN has some eigenvector
  4. A given Turing machine program as a sequence of machine tables (see more at, finite ,state machine and state transition table),as flowcharts (see more at state
  5. In finite sequence (Xi: in) of nonempty sets, a function is obtained at each, finite ,stage, but there is no stage at which a choice function for the entire family
  6. Formula for calculating an unbiased estimate of the population variance from a, finite ,sample of n observations is:: s^2 = \display style\franc. \! Therefore, a naive
  7. Showing that the cohomology of a coherent sheaf on a complete variety is, finite ,dimensional; Grothendieck's theorem shows that the higher direct images of
  8. Impossible by any procedure to reduce the temperature of a system to zero in a, finite ,number of operations. (≈ Guggenheim, p. 157) A perfect crystal is one in
  9. Step can also be viewed as a multiplication by a particular MDS matrix in a, finite ,field. This process is described further in the article Randall mix columns.
  10. In 1669 as 3,269 thousand noises. Another colleague, Ole River, discovered the, finite ,speed of light in 1676: the speed was so great that it was usually quoted as
  11. Be seen as asserting the generalization of this property, already evident for, finite ,collections, to arbitrary collections. Usage Until the late 19th century, the
  12. I shall also suppose that the number of symbols which may be printed is, finite ,....:" The behavior of the computer at any moment is determined by the symbols
  13. A set enclosed between two-step regions S and T. A step region is formed from a, finite ,union of adjacent rectangles resting on a common base,i.e. S\subset Q\subset
  14. Suppose that the number of states of mind which need be taken into account is, finite ,...:" Let us imagine that the operations performed by the computer to be split
  15. Also equivalent to AC over ZF. **Tukey's lemma: Every non-empty collection of, finite ,character has a maximal element with respect to inclusion. **Antichain
  16. Defined by radicals All numbers which can be obtained from the integers using a, finite ,number of integer additions, subtractions,multiplications, divisions,and
  17. And computer science, an algorithm is an effective method expressed as a, finite ,list of well-defined instructions for calculating a function. Algorithms are
  18. Which is precisely determined and which is certain to produce the answer in a, finite ,number of steps. With this special meaning, three different precise definitions
  19. Can be represented as sets as opposed to undefinable classes. The hereditarily, finite ,sets, Vω, satisfy the axiom of regularity (and all other axioms of ZFC except
  20. Mathbf\ | in a Hilbert space can be extended to subspaces of any, finite ,dimensions. Given two subspaces \mathcal, \mathcal with \operator name (
  21. Exist. His research in 1903 and 1904 was mainly concerned with the effect of, finite ,atomic size on diffusion phenomena. In his paper on mass–energy equivalence
  22. Properties. For example, the number of solutions of an equation over a, finite ,field reflects the topological nature of its solutions over the complex numbers
  23. Collection of nonempty sets is finite or in finite , and thus implies that every, finite ,collection of nonempty sets has a choice function. However, that particular
  24. The starting point. ... a specific problem is to be given in symbolic form by a, finite ,number of boxes i.e., INPUT being marked with a stroke. Likewise, the answer i.
  25. Variance This algorithm can easily be adapted to compute the variance of a, finite ,population: simply divide by n instead of n − 1 on the last line. Because
  26. Of A),there is a B such that f (B) does not lie in B. Restriction to, finite ,sets The statement of the axiom of choice does not specify whether the
  27. Waking up will be possible, that belief is tentative, tempered by a small but, finite ,degree of doubt (the alarm might break, or one might die before the alarm goes
  28. Displays and instruments, critical devices which were electromechanical had a, finite ,life. With safety critical systems, the software is very strictly tested.
  29. In finite resolution. In practice an analog signal is subject to noise and a, finite ,slew rate. Therefore, both analog and digital systems are subject to
  30. Particular, the field of rational numbers is not algebraically closed. Also, no, finite , field F is algebraically closed, because if a1,a2,…, an are the elements of F
  31. Second box to the second element we chose, and so on. (A formal proof for all, finite ,sets would use the principle of mathematical induction to prove" for every
  32. Unnoticed until Carmelo. Not every situation requires the axiom of choice. For, finite ,sets X, the axiom of choice follows from the other axioms of set theory. In
  33. Explicit instructions for determining the nth member of the set, for arbitrary, finite ,n. Such instructions are to be given quite explicitly, in a form in which they
  34. Item; go to the second box, choose an item; and so on. The number of boxes is, finite , so eventually our choice procedure comes to an end. The result is an explicit
  35. K \ F is irreducible, and its degree is greater than 1. The field has no proper, finite ,extension The field F is algebraically closed if and only if it has no finite
  36. Of time "; Thus there was a time before the eons, and the Ionian period is, finite , After each man's mortal life ends, he is judged worthy of Ionian life or
  37. Additional columns in the state). Most AES calculations are done in a special, finite ,field. The AES cipher is specified as a number of repetitions of transformation
  38. Equations whose associated variety has dimension zero and thus consists in a, finite ,number of points. Applications Algebraic geometry now finds application in
  39. Which are useful in geometry and physics. * Incidence algebras of locally, finite ,partially ordered sets are unitary associative algebras considered in
  40. The output of the algorithm that computes a function must be determined after a, finite ,number of steps. He defines a super-recursive class of algorithms as" a class
  41. Is contrasted with semantic ambiguity. The former represents a choice between a, finite ,number of known and meaningful context-dependent interpretations. The latter
  42. Of some sort of particles by a luminous source, the speed of light must be, finite , " He also provided a wrong explanation of the rainbow phenomenon. Carl
  43. While in prison, of the Riemann hypothesis for zeta-functions of curves over, finite ,fields, and his subsequent laying of proper foundations for algebraic geometry
  44. Set theory. In that case it is equivalent to saying that if we have several (a, finite ,number of) boxes, each containing at least one item, then we can choose
  45. Designed to tabulate logarithms and trigonometric functions by evaluating, finite ,differences to create approximating polynomials. Construction of this machine
  46. The axiom of choice; this is in particular the case if the number of bins is, finite , or if a selection rule is available: a distinguishing property that happens to
  47. Transcendental extensions are of in finite degree. This in turn implies that all, finite ,extensions are algebraic. The converse is not true however: there are in finite
  48. Subsets of the real numbers. First we might try to proceed as if X were, finite , If we try to choose an element from each set, then,because X is in finite , our
  49. Instructions describe a computation that, when executed, will proceed through a, finite ,number of well-defined successive states, eventually producing" output" and
  50. Finite extension The field F is algebraically closed if and only if it has no, finite ,algebraic extension because if, within the previous proof, the word“ algebraic

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