enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. Gaussian brackets - Wikipedia

   en.wikipedia.org/wiki/Gaussian_brackets

   In mathematics, Gaussian brackets are a special notation invented by Carl Friedrich Gauss to represent the convergents of a simple continued fraction in the form of a simple fraction. Gauss used this notation in the context of finding solutions of the indeterminate equations of the form a x = b y ± 1 {\displaystyle ax=by\pm 1} .

3. Clearing denominators - Wikipedia

   en.wikipedia.org/wiki/Clearing_denominators

   The result is an equation with no fractions. The simplified equation is not entirely equivalent to the original. For when we substitute y = 0 and z = 0 in the last equation, both sides simplify to 0, so we get 0 = 0, a mathematical truth. But the same substitution applied to the original equation results in x/6 + 0/0 = 1, which is ...

4. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   Using the example of a cake, if three small slices of equal size make up a quarter, and four quarters make up a whole, twelve of these small, equal slices make up a whole. Therefore, a third of a quarter is a twelfth. Now consider the numerators. The first fraction, two thirds, is twice as large as one third.

5. Solving quadratic equations with continued fractions - Wikipedia

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

   If the discriminant is zero the fraction converges to the single root of multiplicity two. If the discriminant is positive the equation has two real roots, and the continued fraction converges to the larger (in absolute value) of these. The rate of convergence depends on the absolute value of the ratio between the two roots: the farther that ...

6. Order of operations - Wikipedia

   en.wikipedia.org/wiki/Order_of_operations

   The acronym's procedural application does not match experts' intuitive understanding of mathematical notation: mathematical notation indicates groupings in ways other than parentheses or brackets and a mathematical expression is a tree-like hierarchy rather than a linearly "ordered" structure; furthermore, there is no single order by which ...

7. Continued fraction - Wikipedia

   en.wikipedia.org/wiki/Continued_fraction

   In the first of these equations the ratio tends toward ⁠ A n / B n ⁠ as z tends toward zero. In the second, the ratio tends toward ⁠ A n / B n ⁠ as z tends to infinity. This leads us to our first geometric interpretation. If the continued fraction converges, the successive convergents ⁠ A n / B n ⁠ are eventually arbitrarily close ...