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Permutations Sentence Examples

  • And there is no originality in it; only endless permutations and combinations of doctrines already known and accepted.
  • Permutations and Combinations.
  • Every unit of the rth species which does not vanish is the product of r different units of the first species; two such units are independent unless they are permutations of the same set of primary units e i, in which case they are equal or opposite according to the usual rule employed in determinants.
  • In particular, the number of permutations of the whole stock is n!.
  • Y ...a n v, the summation being for all permutations of the n numbers, is called the determinant of the n 2 quantities.
  • Now a11A11= alla22a33...ann, wherein all is not to be changed, but the second suffixes in the product a 22 a 33 ...a nn assume all permutations, the number of transpositions necessary determining the sign to be affixed to the member.
  • (v.) Permutations and Combinations may be regarded as arithmetical recreations; they become important algebraically in reference to the binomial theroem (�� 41, 44)� (vi.) Surds and Approximate Logarithms. - From the arithmetical point of view, surds present a greater difficulty than negative quantities and fractional numbers.
  • The number (n P r) of permutations of r individuals out of a stock of n, all being distinguishable, is n`r).
  • The number of distinguishable permutations of the whole stock is n!= (a?b!cI (ii.) A combination is a group of individuals without regard to arrangement.
  • The intervention of the Curia, which hitherto had been hostile to Casimir because of his steady and patriotic resistance to papal aggression, was due to the permutations of European politics.
  • Under the general heading "Algebra and Theory of Numbers" occur the subheadings "Elements of Algebra," with the topics rational polynomials, permutations, &c., partitions, probabilities; "Linear Substitutions," with the topics determinants, &c., linear substitutions, general theory of quantics; "Theory of Algebraic Equations," with the topics existence of roots, separation of and approximation to, theory of Galois, &c. "Theory of Numbers," with the topics congruences, quadratic residues, prime numbers, particular irrational and transcendental numbers.
  • Permutations of the n numbers I, 2, 3, ...
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Also Mentioned In


  • alternating-group
  • permutation-group
  • group-action
  • permutation
  • dedekind-domain
  • graphical user authentication
  • symmetric-group
  • interact
  • brute force
  • Hans Fischer

WORDS NEAR permutations IN THE DICTIONARY


  • permutation-group
  • permutation-lock
  • permutational
  • permutationally
  • permutations
  • permutative
  • permute
  • permuted
  • permuter
  • permuters
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