shew

Verb

 * 1) * 1884: Edwin A. Abbott, Flatland, Sec. 4, Concerning the Women
 * But, as I shall soon shew, this custom, though it has the advantage of safety, is not without its disadvantages.
 * 1) * 1908: T. J. I'a Bromwich, An Introduction to the Theory of Infinite Series, Power Series, Derangement of expansions.
 * Expand the series $$\frac{1}{1-x}-\frac{x}{(1-x)^3}+\frac{1 \cdot 3}{2!}\frac{x^2}{(1-x)^3}-\frac{1 \cdot 3 \cdot 5}{3!}\frac{x^3}{(1-x)^7}+\cdots$$ powers of x, shewing that the coefficient of $$x^n$$ is $$S_{n}=1+\sum_{1}^{n}(-1)^r\frac{(n+r)!}{(r!)^2(n-r)!}\frac{1}{2^r}$$.
 * 1) * 1884: Edwin A. Abbott, Flatland, Sec. 4, Concerning the Women
 * But, as I shall soon shew, this custom, though it has the advantage of safety, is not without its disadvantages.
 * 1) * 1908: T. J. I'a Bromwich, An Introduction to the Theory of Infinite Series, Power Series, Derangement of expansions.
 * Expand the series $$\frac{1}{1-x}-\frac{x}{(1-x)^3}+\frac{1 \cdot 3}{2!}\frac{x^2}{(1-x)^3}-\frac{1 \cdot 3 \cdot 5}{3!}\frac{x^3}{(1-x)^7}+\cdots$$ powers of x, shewing that the coefficient of $$x^n$$ is $$S_{n}=1+\sum_{1}^{n}(-1)^r\frac{(n+r)!}{(r!)^2(n-r)!}\frac{1}{2^r}$$.
 * But, as I shall soon shew, this custom, though it has the advantage of safety, is not without its disadvantages.
 * 1) * 1908: T. J. I'a Bromwich, An Introduction to the Theory of Infinite Series, Power Series, Derangement of expansions.
 * Expand the series $$\frac{1}{1-x}-\frac{x}{(1-x)^3}+\frac{1 \cdot 3}{2!}\frac{x^2}{(1-x)^3}-\frac{1 \cdot 3 \cdot 5}{3!}\frac{x^3}{(1-x)^7}+\cdots$$ powers of x, shewing that the coefficient of $$x^n$$ is $$S_{n}=1+\sum_{1}^{n}(-1)^r\frac{(n+r)!}{(r!)^2(n-r)!}\frac{1}{2^r}$$.