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2. Methods of computing square roots - Wikipedia

   en.wikipedia.org/wiki/Methods_of_computing...

   A method analogous to piece-wise linear approximation but using only arithmetic instead of algebraic equations, uses the multiplication tables in reverse: the square root of a number between 1 and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater than or equal to 25 but less than 36, begins with ...

3. Mathematical operators and symbols in Unicode - Wikipedia

   en.wikipedia.org/wiki/Mathematical_operators_and...

   The Supplemental Mathematical Operators block (U+2A00–U+2AFF) contains various mathematical symbols, including N-ary operators, summations and integrals, intersections and unions, logical and relational operators, and subset/superset relations. Supplemental Mathematical Operators [1] Official Unicode Consortium code chart (PDF) 0.

4. Python (programming language) - Wikipedia

   en.wikipedia.org/wiki/Python_(programming_language)

   Python uses the ** operator for exponentiation. Python uses the + operator for string concatenation. Python uses the * operator for duplicating a string a specified number of times. The @ infix operator. It is intended to be used by libraries such as NumPy for matrix multiplication. [102] [103] The syntax :=, called the "walrus operator", was ...

5. Computational complexity of mathematical operations - Wikipedia

   en.wikipedia.org/wiki/Computational_complexity...

   The following tables list the computational complexity of various algorithms for common mathematical operations. Here, complexity refers to the time complexity of performing computations on a multitape Turing machine. [1] See big O notation for an explanation of the notation used. Note: Due to the variety of multiplication algorithms, below ...

6. Square root - Wikipedia

   en.wikipedia.org/wiki/Square_root

   Square root. Notation for the (principal) square root of x. For example, √ 25 = 5, since 25 = 5 ⋅ 5, or 52 (5 squared). In mathematics, a square root of a number x is a number y such that ; in other words, a number y whose square (the result of multiplying the number by itself, or ) is x. [1] For example, 4 and −4 are square roots of 16 ...

7. Integer square root - Wikipedia

   en.wikipedia.org/wiki/Integer_square_root

   Digit-by-digit algorithm. The traditional pen-and-paper algorithm for computing the square root is based on working from higher digit places to lower, and as each new digit pick the largest that will still yield a square . If stopping after the one's place, the result computed will be the integer square root.

8. Fast inverse square root - Wikipedia

   en.wikipedia.org/wiki/Fast_inverse_square_root

   Lighting and reflection calculations, as in the video game OpenArena, use the fast inverse square root code to compute angles of incidence and reflection.. Fast inverse square root, sometimes referred to as Fast InvSqrt() or by the hexadecimal constant 0x5F3759DF, is an algorithm that estimates , the reciprocal (or multiplicative inverse) of the square root of a 32-bit floating-point number in ...

9. Square root of a matrix - Wikipedia

   en.wikipedia.org/wiki/Square_root_of_a_matrix

   An n×n matrix with n distinct nonzero eigenvalues has 2 n square roots. Such a matrix, A, has an eigendecomposition VDV−1 where V is the matrix whose columns are eigenvectors of A and D is the diagonal matrix whose diagonal elements are the corresponding n eigenvalues λi. Thus the square roots of A are given by VD1/2 V−1, where D1/2 is ...