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...

In algebra, an absolute value is a function that generalizes the usual absolute value. More precisely, if D is a field or (more generally) an integral...

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)...

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...

following properties, where | s | {\displaystyle |s|} denotes the usual absolute value of a scalar s {\displaystyle s} : Subadditivity/Triangle inequality:...

Least absolute deviations (LAD), also known as least absolute errors (LAE), least absolute residuals (LAR), or least absolute values (LAV), is a statistical...

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...

{\displaystyle x_{i}} the true value. Alternative formulations may include relative frequencies as weight factors. The mean absolute error uses the same scale...

principal ways: as an absolute error, which denotes the direct numerical magnitude of this discrepancy irrespective of the true value's scale, or as a relative...

difference: the deviation is positive when the observed value exceeds the reference value. The absolute value of the deviation indicates the size or magnitude...

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...

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...

nor the mean-value theorem hold for the symmetric derivative; some similar but weaker statements have been proved. For the absolute value function f (...

homogeneous function that is not homogeneous. A special case is the absolute value of real numbers. The quotient of two homogeneous polynomials of the...

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...

Residual value also known as salvage value describes the future value of a good in terms of absolute value in monetary terms after depreciation, and it...

"exponential valuation" or "non-Archimedean absolute value" or "ultrametric absolute value"; our "absolute value" (satisfying the triangle inequality) is...

the interval [0, +∞). On the negative numbers, numbers with greater absolute value have greater squares, so the square is a monotonically decreasing function...

mean absolute difference (univariate) is a measure of statistical dispersion equal to the average absolute difference of two independent values drawn...

collectively represent numbers. Although the absolute value of each sign is independent of its position, the value of the sequence as a whole may depend on...

| n | {\displaystyle |n|} is the absolute value of n {\displaystyle n} . Negation is used to find the negative value of a single number. Here are some...

function, is a real- or complex-valued measurable function for which the integral of the square of the absolute value is finite. Thus, square-integrability...

If a {\displaystyle a} is an element of an ordered ring R, then the absolute value of a {\displaystyle a} , denoted | a | {\displaystyle |a|} , is defined...

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...

rank one valued fields and normed spaces over rank one valued fields as follows. Let K {\displaystyle K} be a field endowed with an absolute value function...

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...

program where the result of a calculation is a number of more precise absolute value than the computer can actually represent in memory on its central processing...

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...

MAD is the median of their absolute values. Consider the data (1, 1, 2, 2, 4, 6, 9). It has a median value of 2. The absolute deviations about 2 are (1...

absolute value of a univariate polynomial. The method works under the condition that there is only one root (possibly multiple) of maximal absolute value...