continued fraction Synonyms
No Synonyms and anytonyms found
continued fraction Meaning
continued fraction (n)
a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on
continued fraction Sentence Examples
- Mathematicians have used continued fractions for centuries to express rational and irrational numbers.
- The continued fraction representation of pi is an infinite series, revealing its unending decimal nature.
- By analyzing the continued fraction of a number, we can gain insights into its approximation properties.
- Converting a continued fraction back into a decimal can be computationally expensive depending on the complexity of the fraction.
- Some irrational numbers, like the square root of 2, have a very simple continued fraction representation.
- Continued fractions can be used to create surprisingly accurate rational number approximations for complex numbers.
- Computer algorithms can efficiently convert between continued fractions and their decimal representations.
- The study of continued fractions has applications in number theory, cryptography, and physics.
- While seemingly complex, continued fractions offer a powerful tool for understanding and working with real numbers.
- There are even continued fraction representations for mathematical constants like Euler's number (e).
FAQs About the word continued fraction
a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer p
No synonyms found.
No antonyms found.
Mathematicians have used continued fractions for centuries to express rational and irrational numbers.
The continued fraction representation of pi is an infinite series, revealing its unending decimal nature.
By analyzing the continued fraction of a number, we can gain insights into its approximation properties.
Converting a continued fraction back into a decimal can be computationally expensive depending on the complexity of the fraction.
