Examples of 'continued fraction' in a sentence
Meaning of "continued fraction"
continued fraction - a mathematical expression representing a fraction where the numerator is an integer and the denominator is the sum of an integer and another fraction, forming a pattern of continued division
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- A compound numerical expression consisting of an integer plus a fraction whose numerator is a positive integer and whose denominator is a continued fraction (an integer plus a fraction), and so on, with finite or infinite recursion.
How to use "continued fraction" in a sentence
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continued fraction
Continued fraction methods may also be used.
It is a convergent in the simple continued fraction expansion of π.
A simple continued fraction is an expression of the form.
So should be replaced by the equivalent continued fraction.
Continued fraction calculator for quadratic irrationals.
For this we will use continued fraction.
A simple continued fraction is a number in the form.
When the nth convergent of a continued fraction.
The continued fraction representation of an irrational number is unique.
We can write down any continued fraction such as.
The continued fraction expansion of an irrational number is unique.
Has always a periodic continued fraction.
A finite continued fraction is an expression such as.
The accepted terminology is continued fraction.
Continued fraction expansion of quadratic irrationals.
See also
Otherwise the continued fraction diverges.
Every rational number has a finite continued fraction.
Calculating the simple continued fraction of a quadratic irrational.
Now let us evaluate the following continued fraction.
A continued fraction is finite if and only if the number is a rational.
We call such an expression a continued fraction.
The continued fraction representation of a rational number is always finite.
Fix a positive irrational number α with continued fraction expansion.
Continued fraction are extremely important in the theory of rational approximation.
A more rapid method is to evaluate its generalized continued fraction.
Convert continued fraction to rational.
A number is said to be noble if its continued fraction terminates with.
Online continued fraction calculator.
Canonical form of a continued fraction.
Continued fraction expansion of π.
Equivalent forms of a continued fraction.
Continued fraction factorization.
This expression is called the continued fraction representation of the number.
Continued fraction day.
Another meaning for generalized continued fraction is a generalization to higher dimensions.
These rational numbers are called the convergents of the continued fraction.
An infinite periodic continued fraction is a continued fraction of the form.
All rational numbers have a finite length continued fraction expansion.
Of the continued fraction.
If the sequence of convergents never approaches a limit the continued fraction is divergent.
Periodic continued fraction.
It is true that all irrational numbers will have an infinite continued fraction.
Generalized continued fraction.
Used continued fraction expansions to determine the number of teeth on the.
Convergent of a continued fraction.
The continued fraction representation of real numbers can be defined in this way.
His rather heavy proof uses a expansion in continued fraction of the function.
To a continued fraction.
Euler proved this by showing that its simple continued fraction expansion is infinite.
The continued fraction representation of π can be used to generate successive best rational approximations.
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Examples of using Continued
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Religious freedom continued to be challenged in many countries
Information and communication technology strategy continued
Enhancement and continued development of performance data
Examples of using Fraction
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That fraction does not make any sense
You do not have a fraction of her guts
A fraction of a day will be considered a full day
