Примеры использования Rational numbers на Английском языке и их переводы на Русский язык
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A right triangle for which all three side lengths are rational numbers cannot have an area that is the square of a rational number. .
The Pythagoreans' conception of number included only what would today be called rational numbers, casting doubt on the validity of the theory in geometry where,
Specifically, if a cubic polynomial is irreducible over the rational numbers and has three real roots,
The local-global principle says that a general result about a rational number or even all rational numbers can often be established by verifying that the result holds true for each of the p-adic number systems.
of L. J. Mordell) stating that an algebraic curve C of genus g> 1 over the rational numbers has only finitely many rational points.
separating all rational numbers into two groups having certain characteristic properties.
It applies to an elliptic curve E, and the problem it attempts to solve is the prediction of the rank of the elliptic curve over the rational numbers(or another global field):
Since the first coefficient a0 of the continued fraction of x plays no role in Khinchin's theorem and since the rational numbers have Lebesgue measure zero, we are reduced
the field of real numbers, rational numbers, or the integers modulo 7.
which are commutative differential graded algebras over the rational numbers satisfying certain conditions.
which are necessarily dyadic rational numbers.
although there are infinitely many solutions in rational numbers.
If x is an irrational algebraic number of degree n over the rational numbers, then there exists a constant c(x)>
Every positive rational number has a unique finite Engel expansion.
A rational number may be expressed as the quotient of two integers.
To find the rational number equivalent to the periodic decimal the whole number should be written as it is.
n(a rational number) then scientists call it an m:
Branches of a Coxeter-Dynkin diagram are labeled with a rational number p, representing a dihedral angle of 180°/p.
In summary, a rational number is perfectly approximated by itself,
Taking n 3, there are no degree 3 Kummer extensions of the rational number field Q, since for three cube roots