Lobachevsky integral formula
In mathematics, Dirichlet integrals play an important role in distribution theory. We can see the Dirichlet integral in terms of distributions. One of those is the improper integral of the sinc function over the positive real line, ∫ 0 ∞ sin x x d x = ∫ 0 ∞ sin 2 x x 2 d x = π 2 . {\displaystyle \int _{0}^{\infty }{\frac {\sin x}{x}}\,dx=\int _{0}^{\infty }{\frac {\sin ^{2}x}{x^{2}}}\,dx={\frac {\pi }{2}}.}
Words
This table shows the example usage of word lists for keywords extraction from the text above.
Word | Word Frequency | Number of Articles | Relevance |
---|---|---|---|
x | 10 | 29892 | 0.768 |
sin | 4 | 3565 | 0.432 |
frac | 3 | 2701 | 0.337 |
integral | 3 | 5417 | 0.306 |
dirichlet | 2 | 203 | 0.3 |