enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. Continued fraction - Wikipedia

   en.wikipedia.org/wiki/Continued_fraction

   A continued fraction is a mathematical expression that can be written as a fraction with a denominator that is a sum that contains another simple or continued fraction. Depending on whether this iteration terminates with a simple fraction or not, the continued fraction is finite or infinite .

3. Repeating decimal - Wikipedia

   en.wikipedia.org/wiki/Repeating_decimal

   Conversely the period of the repeating decimal of a fraction ⁠ c / d ⁠ will be (at most) the smallest number n such that 10 n − 1 is divisible by d. For example, the fraction ⁠ 2 / 7 ⁠ has d = 7, and the smallest k that makes 10 k − 1 divisible by 7 is k = 6, because 999999 = 7 × 142857. The period of the fraction ⁠ 2 / 7 ⁠ is ...

4. Solving quadratic equations with continued fractions - Wikipedia

   en.wikipedia.org/wiki/Solving_quadratic...

   If this infinite continued fraction converges at all, it must converge to one of the roots of the monic polynomial x 2 + bx + c = 0. Unfortunately, this particular continued fraction does not converge to a finite number in every case. We can easily see that this is so by considering the quadratic formula and a monic polynomial with real ...

5. 0.999... - Wikipedia

   en.wikipedia.org/wiki/0.999...

   The Archimedean property: any point x before the finish line lies between two of the points P n (inclusive).. It is possible to prove the equation 0.999... = 1 using just the mathematical tools of comparison and addition of (finite) decimal numbers, without any reference to more advanced topics such as series and limits.

6. Periodic continued fraction - Wikipedia

   en.wikipedia.org/wiki/Periodic_continued_fraction

   By considering the complete quotients of periodic continued fractions, Euler was able to prove that if x is a regular periodic continued fraction, then x is a quadratic irrational number. The proof is straightforward. From the fraction itself, one can construct the quadratic equation with integral coefficients that x must satisfy.

7. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   A decimal fraction with infinitely many digits to the right of the decimal separator represents an infinite series. For example, ⁠ 1 / 3 ⁠ = 0.333... represents the infinite series 3/10 + 3/100 + 3/1000 + ....