Incommensurable sentence example

incommensurable
  • In the introduction to his work Von der Weltseele, however, he argues in favour of the possibility of a transmutation of species in periods incommensurable with ours.
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  • incommensurable values.
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  • If the number is incommensurable or consists of more than seven figures, we can take the first seven figures of it (or multiply and divide the result by any factor, and take the first seven figures of the result) and proceed as before.
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  • His incommensurable and indescribable masterpiece of mingled humour, wisdom, satire, erudition, indecency, profundity, levity, imagination, realism, reflects the whole age in its mirror of hyperAristophanic farce.
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  • For the application of continued fractions to the problem " To find the fraction, whose denominator does not exceed a given integer D, which shall most closely approximate (by excess or defect, as may be assigned) to a given number commensurable or incommensurable," the reader is referred to G.
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  • This ratio, invariably denoted by 7r, is constant for all circles, but it does not admit of exact arithmetical expression, being of the nature of an incommensurable number.
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  • converges to an incommensurable limit if after some finite value of n the condition an
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  • If this be applied to the right-hand side of the identity m m m 2 m2 tan-=- - n n -3n-5n" it follows that the tangent of every arc commensurable with the radius is irrational, so that, as a particular case, an arc of 45 having its tangent rational, must be incommensurable with the radius; that is to say, 3r/4 is an incommensurable number."
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  • Decimal or Briggian Antilogarithms. - In the ordinary tables of logarithms the natural numbers are all integers, while the logarithms tabulated are incommensurable.
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  • But for the literary life of both poets the gain was incommensurable.
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  • A non-terminating simple continued fraction must be incommensurable.
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  • incommensurable line segments.
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  • incommensurable numbers, which came to play an important role in Euclid's Elements.
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  • Arithmetic, algebra, and the infinitesimal calculus, are sciences directly concerned with integral numbers, rational (or fractional) numbers, and real numbers generally, which include incommensurable numbers.
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  • Furthermore, incommensurable numbers are defined as the limits arrived at as the result of certain procedures with rational numbers.
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  • For us with the standard of good and evil given us by Christ, no human actions are incommensurable.
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  • In an antilogarithmic table, the logarithms are exact quantities such as 00001, 00002, &c., and the numbers are incommensurable.
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  • Any quantity, commensurable or incommensurable, can be expressed uniquely as a simple continued fraction, terminating in the case of a commensurable quantity, non-terminating in the case of an incommensurable quantity.
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  • - an verges to an incommensurable limit if after some finite value of n the condition a n ?b n +I is always satisfied, where the sign > need not always occur but must occur infinitely often.
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  • These results were given by Lambert, and used by him to !prove that r and ir 2 are incommensurable, and also any commensurable power of e.
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  • But an investigation of dependent lines which are often incommensurable forces us to adopt the contradictory fiction of partially overlapping, i.e.
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