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A calculation is a deliberate mathematical process that transforms one or more inputs into one or more outputs or results.The term is used in a variety of senses, from the very definite arithmetical calculation of using an algorithm, to the vague heuristics of calculating a strategy in a competition, or calculating the chance of a successful relationship between two people.
All calculations carried by an electronic computer, calculator or abacus. All calculations carried out on an analytical engine. All calculations carried out on a Turing Machine. The majority of mathematical statements and calculations given in maths textbooks. Some examples of mathematical statements that are not computable include:
3. Between two groups, may mean that the first one is a proper subgroup of the second one. > (greater-than sign) 1. Strict inequality between two numbers; means and is read as "greater than". 2. Commonly used for denoting any strict order. 3. Between two groups, may mean that the second one is a proper subgroup of the first one. ≤ 1.
Order of operations. In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression.
In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor(x). Similarly, the ceiling function maps x to the least integer greater than or equal to x, denoted ⌈x⌉ or ceil(x). [1]
Substituting q=2 into the proof of the first equation, yields a formal calculation that produces the last equation. But it is wrong over the real numbers, since the series does not converge. However, in other contexts (e.g. working with 2-adic numbers, or with integers modulo a power of 2), the series does converge. The formal calculation ...
Arithmetic is the fundamental branch of mathematics that studies numbers and their operations. In particular, it deals with numerical calculations using the arithmetic operations of addition, subtraction, multiplication, and division. [1]
The quadratic formula =. is a closed form of the solutions to the general quadratic equation + + =. More generally, in the context of polynomial equations, a closed form of a solution is a solution in radicals; that is, a closed-form expression for which the allowed functions are only n th-roots and field operations (+,,, /).