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How To Use Irrational number In A Sentence

  • The first, and perhaps most definitive, indication that the later Wittgenstein maintains his finitism is his continued and consistent insistence that irrational numbers are rules for constructing finite expansions, not infinite mathematical extensions. Wittgenstein's Philosophy of Mathematics
  • He considered computation with irrational numbers and polynomials to be part of algebra.
  • In particular he strongly criticised Cantor's and Dedekind's theories of irrational numbers.
  • He considered computation with irrational numbers and polynomials to be part of algebra.
  • What about a seed angle derived from the golden ratio, an irrational number?
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  • For example, the Pythagoreans did not expect to uncover irrational numbers in the diagonal of a square.
  • The standards of rigour that he set, defining, for example, irrational numbers as limits of convergent series, strongly affected the future of mathematics.
  • irrational numbers
  • The square root of 2 is an irrational number because it can't be written as a ratio of two integers.
  • A transcendental number is an irrational number that is not a root of any polynomial equation with integer coefficients.
  • He knew that when some irrational number produced a very large quotient then it could be rationalised to produce an extremely accurate approximation to some irrational.
  • Combining with his proof of the denumerability of rational numbers, it proves the existence of irrational numbers without actually constructing any irrational number.
  • Cantor published a paper on trigonometric series in 1872 in which he defined irrational numbers in terms of convergent sequences of rational numbers.
  • A phaenomenon that is a clear consequence of the theory of irrational numbers. Red State Rabble on the dangers of the Discovery Institute's Plan B - The Panda's Thumb
  • The need for rationalization arises when there are irrational numbers, surds or roots or complex numbers in the denominator of a fraction.
  • Book 3 contains a description of how to carry out arithmetic with irrational numbers.
  • He considered computation with irrational numbers and polynomials to be part of algebra.
  • This theory holds for all irrational numbers
  • They are not irrational numbers according to Wittgenstein's criteria, which define, Wittgenstein interestingly asserts, “precisely what has been meant or looked for under the name ˜irrational number™” (PR §191). Wittgenstein's Philosophy of Mathematics
  • How can mathematical concepts like points, infinitesimally small quantities, or irrational numbers be anything but products of our minds?
  • The very names negative numbers, irrational numbers, transcendental numbers, imaginary numbers, and ideal points at infinity indicate ambivalence.
  • When the coefficients of quadratic equations were irrational numbers, Abu Kdmil abandoned the geometry demonstration showing the trend of arithmetization.
  • Irrational numbers are numbers that can be written as decimals but not as fractions.

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