Permutations sentence example

permutations
  • And there is no originality in it; only endless permutations and combinations of doctrines already known and accepted.
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  • There are numerous permutations to be taken into account, sight being one factor.
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  • Scope There are endless permutations to the way Emmaus material can be used: The simplest option is to run just the Nurture courses.
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  • 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.
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  • Solution method: In the case of distinct objects there exists the methods of group theory based upon cyclic permutations.
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  • A split sample approach is used to test the impact of the various permutations of the above.
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  • The fundamental system connected with n quadratic forms consists of (i.) the n forms themselves f i, f2,�� fn, (ii.) the (2) functional determinants (f i, f k) 1, (iii.) the (n 2 1) in variants (f l, fk) 2, (iv.) the (3) forms (f i, (f k, f ni)) 2, each such form remaining unaltered for any permutations of i, k, m.
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  • (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.
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  • There are lots of plumbing supplies on the market, and even the trusty plumbing wrench comes in a number of permutations.
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  • Whether or not they work is up to the individual user, but if nothing else, the sites can provide you with Powerball permutations you may not have thought of.
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  • Robert Heinlein (one of science fiction's pioneers) once said there are only six plots in science fiction, and all of them have been done over and over in endless permutations.
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  • Luckily, the Worldwide Web Consortium has created many tutorials such as "First CSS" that explain how the properties work in various permutations.
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  • Cute FTP Lite will store all of these permutations in a "site profile".
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  • 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.
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  • Y ...a n v, the summation being for all permutations of the n numbers, is called the determinant of the n 2 quantities.
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  • 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.
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  • In particular, the number of permutations of the whole stock is n!.
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  • 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.
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  • The composer likened the piece to a painting " as it explores the many permutations and colors of sound.
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  • She recently lost her soul to a Markov Chain and is trying endless permutations and recombinations in order to get it back.
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  • (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.
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