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In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor. [1]
Excel offers many user interface tweaks over the earliest electronic spreadsheets; however, the essence remains the same as in the original spreadsheet software, VisiCalc: the program displays cells organized in rows and columns, and each cell may contain data or a formula, with relative or absolute references to other cells. Excel 2.0 for ...
Here the 'IEEE 754 double value' resulting of the 15 bit figure is 3.330560653658221E-15, which is rounded by Excel for the 'user interface' to 15 digits 3.33056065365822E-15, and then displayed with 30 decimals digits gets one 'fake zero' added, thus the 'binary' and 'decimal' values in the sample are identical only in display, the values ...
Modulus (modular arithmetic), base of modular arithmetic; Modulus, the absolute value of a real or complex number ( | a |) Moduli space, in mathematics a geometric space whose points represent algebro-geometric objects; Conformal modulus, a measure of the size of a curve family; Modulus of continuity, a function gauging the uniform continuity ...
Young's modulus is commonly measured in the International System of Units (SI) in multiples of the pascal (Pa) and common values are in the range of gigapascals (GPa). Examples: Rubber (increasing pressure: length increases quickly, meaning low ) Aluminium (increasing pressure: length increases slowly, meaning high )
Time-keeping on this clock uses arithmetic modulo 12. Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus.
At points of discontinuity, a Fourier series converges to a value that is the average of its limits on the left and the right, unlike the floor, ceiling and fractional part functions: for y fixed and x a multiple of y the Fourier series given converges to y/2, rather than to x mod y = 0. At points of continuity the series converges to the true ...
Trapezoidal rule — second-order method, based on (piecewise) linear approximation; Simpson's rule — fourth-order method, based on (piecewise) quadratic approximation Adaptive Simpson's method; Boole's rule — sixth-order method, based on the values at five equidistant points; Newton–Cotes formulas — generalizes the above methods