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...

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...

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)...

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)...

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

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...

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

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

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

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...

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...

inconceivable quantity Absolute magnitude, the brightness of a star Absolute value, a notion in mathematics, commonly a number's numerical value without regard...

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...

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...

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

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...

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...

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

the usual absolute value of their difference. The corresponding mapping to an additive group would be the logarithm of the absolute value, although this...

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...

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:...

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...

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...

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

electrical engineering, the average rectified value (ARV) of a quantity is the average of its absolute value. The ARV of an alternating current indicates...

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...

\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...

\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...

absolute value on the rational numbers ⁠ Q {\displaystyle \mathbb {Q} } ⁠ is equivalent to either the usual real absolute value or a p-adic absolute value...