mathematics, the absolute value or modulus of a real number x {\displaystyle x} , denoted | x | {\displaystyle |x|} , is the non-negative value of x {\displaystyle...
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existence of absolute values, which can also be termed noumenal values (and not to be confused with mathematical absolute value). An absolute value can be described...
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algebra, an absolute value (also called a valuation, magnitude, or norm, although "norm" usually refers to a specific kind of absolute value on a field)...
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absolute value in Wiktionary, the free dictionary. The absolute value is a value of a real number. Absolute value may also refer to: Absolute value (algebra)...
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Norm (mathematics) (redirect from Absolute-value norm)
following properties, where | s | {\displaystyle |s|} denotes the usual absolute value of a scalar s {\displaystyle s} : Subadditivity/Triangle inequality:...
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where At is the actual value and Ft is the forecast value. Their difference is divided by the actual value At. The absolute value of this ratio is summed...
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Least absolute deviations (LAD), also known as least absolute errors (LAE), least absolute residuals (LAR), or least absolute values (LAV), is a statistical...
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{\displaystyle x_{i}} the true value. Alternative formulations may include relative frequencies as weight factors. The mean absolute error uses the same scale...
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Homogeneous function (redirect from Absolute homogeneity)
homogeneous function that is not homogeneous. A special case is the absolute value of real numbers. The quotient of two homogeneous polynomials of the...
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Deviation (statistics) (redirect from Absolute Deviation)
difference: the deviation is positive when the observed value exceeds the reference value. The absolute value of the deviation indicates the size or magnitude...
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P-adic valuation (redirect from P-adic absolute value)
analogue of the usual absolute value. Whereas the completion of the rational numbers with respect to the usual absolute value results in the real numbers...
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Complex number (redirect from Complex value)
defined by its geometric polar coordinates: the radius is called the absolute value of the complex number, while the angle from the positive real axis is...
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Squeeze theorem (redirect from Absolute value theorem)
In calculus, the squeeze theorem (also known as the sandwich theorem, among other names) is a theorem regarding the limit of a function that is bounded...
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inconceivable quantity Absolute magnitude, the brightness of a star Absolute value, a notion in mathematics, commonly a number's numerical value without regard...
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converge absolutely (or to be absolutely convergent) if the sum of the absolute values of the summands is finite. More precisely, a real or complex series...
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mean absolute difference (univariate) is a measure of statistical dispersion equal to the average absolute difference of two independent values drawn...
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nor the mean-value theorem hold for the symmetric derivative; some similar but weaker statements have been proved. For the absolute value function f (...
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absolute difference of two real numbers x {\displaystyle x} and y {\displaystyle y} is given by | x − y | {\displaystyle |x-y|} , the absolute value of...
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Approximation error (redirect from Absolute error)
error in a data value is the discrepancy between an exact value and some approximation to it. This error can be expressed as an absolute error (the numerical...
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Absolute Value is the second studio album by Boston rapper Akrobatik. It was released on February 19, 2008 by Fat Beats Records. The album features guest...
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Unary operation (section Absolute value)
where | n | {\displaystyle |n|} is the absolute value of n {\displaystyle n} . This is used to find the negative value of a single number. Here are some examples:...
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the usual absolute value of their difference. The corresponding mapping to an additive group would be the logarithm of the absolute value, although this...
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electrical engineering, the average rectified value (ARV) of a quantity is the average of its absolute value. The ARV of an alternating current indicates...
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Residual value is one of the constituents of a leasing calculus or operation. It describes the future value of a good in terms of absolute value in monetary...
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tendency or any reference value related to the given data set. AAD includes the mean absolute deviation and the median absolute deviation (both abbreviated...
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\end{array}}} Any real number can be expressed as the product of its absolute value and its sign function: x = | x | sgn x . {\displaystyle x=|x|\operatorname...
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p-adic absolute value). Every rational number can be uniquely expressed as the sum of a series as above, with respect to the p-adic absolute value. This...
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is the signed measure of its projection on the primary axis, whose absolute value is the distance between the projection and the origin of the axis, and...
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Gamma function (section Particular values)
\end{aligned}}} When Re(z) ∈ [1,2] and x ≥ 1 {\displaystyle x\geq 1} , the absolute value of the last integral is smaller than ( x + 1 ) e − x {\displaystyle...
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Square (algebra) (redirect from Absolute square)
the interval [0, +∞). On the negative numbers, numbers with greater absolute value have greater squares, so the square is a monotonically decreasing function...
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