Примеры использования Rational number на Английском языке и их переводы на Русский язык
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Every positive rational number has a unique finite Engel expansion.
In the algorithm for Engel expansion,if ui is a rational number x/y, then ui+1(-y mod x)/y.
A rational number may be expressed as the quotient of two integers.
If the ratio of their angular frequencies is m:n(a rational number) then scientists call it an m: n Lorentz resonance.
In G, connect each two real numbers x and y by an edgewhenever the value(|x- y|±√2) is a rational number.
Any positive rational number can be written as the sum of unit fractions, in multiple ways.
Branches of a Coxeter-Dynkin diagram are labeled with a rational number p, representing a dihedral angle of 180°/p.
To find the rational number equivalent to the periodic decimal the whole number should be written as it is.
In dihedral Schwarz triangles, two of the numbers are 2, andthe third may be any rational number strictly greater than 1.
There is no smallest positive rational number because, if there were, then it could be divided by two to get a smaller one.
Though it may not be possible to assign a rational value to a ratio,it is possible to compare a ratio with a rational number.
In summary, a rational number is perfectly approximated by itself, but is badly approximated by any other rational number. .
In the totally real case, Carl Ludwig Siegel showed that ζK(s) is a non-zero rational number at negative odd integers.
Thus a positive rational number n is congruent if and only if the equation y2 x3- n2x has a rational point with y not equal to 0.
Every congruum is a congruent number, andevery congruent number is a product of a congruum and the square of a rational number.
Taking n 3, there are no degree 3 Kummer extensions of the rational number field Q, since for three cube roots of 1 complex numbers are required.
As Sylvester himself observed, Sylvester's sequence seems to be unique in having such quickly growing values,while simultaneously having a series of reciprocals that converges to a rational number.
A schizophrenic number(also known as mock rational number) is an irrational number that displays certain characteristics of rational numbers. .
Euclid's definition of equality can be stated as that two ratios are equal when they behave identically with respect to being less than,equal to, or greater than any rational number.
If n is practical,then any rational number of the form m/n with m< n may be represented as a sum∑di/n where each di is a distinct divisor of n.
Without this condition, we might have for example a group containing the translation Tx for every rational number x, which would not correspond to any reasonable wallpaper pattern.
Specifically, given two quantities,p and q, and a rational number m/n we can say that the ratio of p to q is less than, equal to, or greater than m/n when np is less than, equal to, or greater than mq respectively.
This situation calls for immediate management action to contain the growth of computing facilities andachieve a controlled and rational number of data centres worldwide.
If we assume that the square root of two is a rational number, then we can say that the square root of two is A over B, where A and B are whole numbers and B is not zero.
A lower bound is typically described by a theorem like"for every element α of some subset of the real numbers and every rational number p/q, we have| α- p q|> ϕ( q){\displaystyle\left|\alpha-{\frac{ p}{ q}}\ right|>\ phi q.
In some cases,"every rational number" may be replaced by"all rational numbers except a finite number of them", which amounts to multiplying φ by some constant depending on α.
Its implementation does not consist only of void and verbal propaganda, but of convincing influence and manifestation that the rational number of children is a prerequisite for their proper development as well as manifestation that the excessive number of children is harmful for their own development.
For this problem, a rational number a/b is a"good" approximation of a real number α if the absolute value of the difference between a/b and α may not decrease if a/b is replaced by another rational number with a smaller denominator.
According to a September 2015 conjecture by Zhi-Wei Sun, every positive rational number has an Egyptian fraction representation in which every denominator is a practical number. .
By multiplying the sides by a common denominator, any congruent number may be transformed into the area of a Pythagorean triangle,from which it follows that the congruent numbers are exactly the numbers formed by multiplying a congruum by the square of a rational number.