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Learn about different methods to multiply two numbers, from long multiplication to fast algorithms with lower time complexity. Compare examples, pseudocode, and usage in computers.
Division is one of the four basic operations of arithmetic, which involves calculating the number of times one number is contained within another. Learn about different types, properties, and notations of division, as well as its applications in algebra and other fields.
Restoring division is a slow division method that operates on fixed-point fractional numbers and depends on the assumption that the divisor is not zero. It produces the quotient and remainder of Euclidean division using a recurrence equation and a partial remainder.
Learn the rules and conventions for evaluating mathematical expressions with different operations. The order of operations is also known as PEMDAS, which stands for Parentheses, Exponentiation, Multiplication/Division, Addition/Subtraction.
A comprehensive table of the time complexity of various algorithms for common mathematical operations on integers, polynomials, special functions, number theory, matrix algebra, and more. See big O notation, elementary functions, and quantum algorithms.
Karatsuba algorithm is a fast multiplication algorithm that reduces the multiplication of two n-digit numbers to three multiplications of n/2-digit numbers and some additions. It was discovered by Anatoly Karatsuba in 1960 and is a divide-and-conquer algorithm that disproved Kolmogorov's conjecture.