Sum of a * f(x) + b * g(x) equals a * (sum of f(x)) + b * (sum of g(x)) {linear function, operations}. Sum from x = m to x = n of f(x) equals (sum from x = m to x = p of f(x)) + (sum from x = p + 1 to x = n of f(x)), where m < p < n. Sum from x = m to x = m of f(x) equals f(m). Sum from k = 1 to k = n of k equals (n^2 + n) / 2. Sum from k = 1 to k = n of k^2 equals (2 * n^3 + 3 * n^2 + n) / 6.
Mathematical Sciences>Algebra>Function
Outline of Knowledge Database Home Page
Description of Outline of Knowledge Database
Date Modified: 2022.0224