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In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, it is possible to expand the polynomial (x + y) n into a sum involving terms of the form ax b y c, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending ...
Substitute in x, y, dx/dt, dy/dt; Simplify. Choose coordinate system: Let the y-axis point North and the x-axis point East. Identify variables: Define y(t) to be the distance of the vehicle heading North from the origin and x(t) to be the distance of the vehicle heading West from the origin. Express c in terms of x and y via the Pythagorean ...
The Portable Operating System Interface (POSIX; IPA: / ˈpɒz.ɪks / [1]) is a family of standards specified by the IEEE Computer Society for maintaining compatibility between operating systems. [1] POSIX defines both the system and user-level application programming interfaces (APIs), along with command line shells and utility interfaces, for ...
Bitwise operation. In computer programming, a bitwise operation operates on a bit string, a bit array or a binary numeral (considered as a bit string) at the level of its individual bits. It is a fast and simple action, basic to the higher-level arithmetic operations and directly supported by the processor.
In computer science, sorting is the problem of sorting pairs of numbers by their sums. Applications of the problem include transit fare minimisation, VLSI design, and sparse polynomial multiplication. As with comparison sorting and integer sorting more generally, algorithms for this problem can be based only on comparisons of these sums, or on ...
78–64 bit 63 bits 62–0; all 0: 0: 0: Zero. The sign bit gives the sign of the zero, which usually is meaningless. non-zero: Denormal. The value is (−1) s × m × 2 −16382 1: anything: Pseudo Denormal. The 80387 and later properly interpret this value but will not generate it. The value is (−1) s × m × 2 −16382 bits 78–64 bits 63 ...
Group operation. The set of rational points on the unit circle, shortened G in this article, forms an infinite abelian group under rotations. The identity element is the point (1, 0) = 1 + i 0 = 1. The group operation, or "product" is (x, y) * (t, u) = (xt − uy, xu + yt). This product is angle addition since x = cos (A) and y = sin (A), where ...
The smaller numbers, for use when subtracting, are the nines' complement of the larger numbers, which are used when adding. In mathematics and computing, the method of complements is a technique to encode a symmetric range of positive and negative integers in a way that they can use the same algorithm (or mechanism) for addition throughout the ...