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Distance from zero to a number
In mathematics, the absolute value or modulus of a real number x {\displaystyle x} , denoted | x | {\displaystyle |x|} , is the (non-negative) magnitude
Absolute_value
2026 South Korean television series
Absolute Value of Romance (Korean: 로맨스의 절댓값) is a 2026 South Korean television series written by Lee Min-joo and directed by Lee Tae-gon [ko] and Kim Jun-hyung
Absolute_Value_of_Romance
Personal value, basis for ethical action
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
Value_(ethics)
Length in a vector space
following properties, where | s | {\displaystyle |s|} denotes the usual absolute value of a scalar s {\displaystyle s} : Subadditivity / Triangle inequality:
Norm_(mathematics)
Function which measures the "size" of elements in a field or integral domain
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_(algebra)
Topics referred to by the same term
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)
Absolute value (disambiguation)
Absolute_value_(disambiguation)
Statistical error measure
{\displaystyle x_{i}} the true value. Alternative formulations may include relative frequencies as weight factors. The mean absolute error uses the same scale
Mean_absolute_error
Statistical optimality criterion
Least absolute deviations (LAD), also known as least absolute errors (LAE), least absolute residuals (LAR), or least absolute values (LAV), is a statistical
Least_absolute_deviations
Future value of a good in terms of absolute value
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
Residual_value
Absolute value of (x - y), a metric
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_difference
Number with a real and an imaginary part
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
Complex_number
Highest power of p dividing a given number
and gives rise to an analogue of the usual absolute value, though unlike the latter, the p-adic absolute value is not Archimedean. Whereas the completion
P-adic_valuation
Measure of prediction accuracy of a forecast
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
Mean absolute percentage error
Mean_absolute_percentage_error
Function with a multiplicative scaling behaviour
homogeneous function that is not homogeneous. A special case is the absolute value of real numbers. The quotient of two homogeneous polynomials of the
Homogeneous_function
Measure of statistical dispersion
mean absolute difference (univariate) is a measure of statistical dispersion equal to the average absolute difference of two independent values drawn
Mean_absolute_difference
Loss function used in robust regression
&{\text{otherwise.}}\end{cases}}} The Huber loss is the convolution of the absolute value function with the rectangular function, scaled and translated. Thus
Huber_loss
Mathematical operation with only one operand
| 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
Unary_operation
Function whose squared absolute value has finite integral
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
Square-integrable_function
Difference between a variable's observed value and a reference value
difference: the deviation is positive when the observed value exceeds the reference value. The absolute value of the deviation indicates the size or magnitude
Deviation_(statistics)
Operation in differential calculus
nor the mean-value theorem hold for the symmetric derivative; some similar but weaker statements have been proved. For the absolute value function f (
Symmetric_derivative
Method for finding limits in calculus
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
Squeeze_theorem
Special function defined by an integral
values between 0 and 1 are offset by iπ so that the absolute value at 0 is π rather than zero. The complex function is also defined (but multi-valued)
Logarithmic_integral_function
Mathematical property of algebraic structures
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
Archimedean_property
Systematic study of values
moral, political, aesthetic, and religious values. Further categorizations distinguish absolute values from values that are relative to something else. Diverse
Value_theory
Device that compares two voltages or currents
create absolute-value detectors. In an absolute-value detector, two comparators and a digital logic gate are used to compare the absolute values of two
Comparator
Theorem in real analysis
interval, the conclusion of Rolle's theorem may not hold. Consider the absolute value function f ( x ) = | x | , x ∈ [ − 1 , 1 ] . {\displaystyle f(x)=|x|
Rolle's_theorem
Numerological practice of reading a word or phrase as a number
number. The same value will be arrived at regardless of whether it is the absolute values, the ordinal values, or the reduced values that are being counted
Gematria
Number divisible only by 1 and itself
the usual absolute value of their difference. The corresponding mapping to an additive group would be the logarithm of the absolute value, although this
Prime_number
Typographic symbol
suggests the notion of size. These are: absolute value: | x | {\displaystyle |x|} , read "the absolute value of x" cardinality: | S | {\displaystyle |S|}
Vertical_bar
Lowest theoretical temperature
and in ideal cases entropy, reach their minimum values. The Kelvin scale is defined so that absolute zero is 0 K, equivalent to −273.15 °C on the Celsius
Absolute_zero
Binary representation for signed numbers
so negative numbers are represented by the two's complement of the absolute value. To get the two's complement of a negative binary number, all bits are
Two's_complement
Speed and direction of a motion
and direction are needed to define it (velocity vector). The scalar absolute value (magnitude) of velocity is called speed, a quantity that is measured
Velocity
Function returning minus 1, zero or plus 1
\end{array}}} Any real number can be expressed as the product of its absolute value and its sign: x = | x | sgn x . {\displaystyle x=|x|\operatorname
Sign_function
Function in algebra
"exponential valuation" or "non-Archimedean absolute value" or "ultrametric absolute value"; our "absolute value" (satisfying the triangle inequality) is
Valuation_(algebra)
Function whose absolute value has a finite integral
function whose absolute value is integrable, meaning that the integral of the absolute value over the whole domain is finite. For a real-valued function, since
Absolutely integrable function
Absolutely_integrable_function
Quotient of two integers
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
Rational_number
Concepts from linear algebra
An important quantity associated with the spectrum is the maximum absolute value of any eigenvalue. This is known as the spectral radius of the matrix
Eigenvalues_and_eigenvectors
In mathematics, invariant of square matrices
The absolute value of ad − bc is the area of the parallelogram, and thus represents the scale factor by which areas are transformed by A. The absolute value
Determinant
Used to count, measure, and label
{a\times d}={c\times b}.} If the absolute value of m is greater than n (supposed to be positive), then the absolute value of the fraction is greater than 1
Number
2008 studio album by Akrobatik
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
Absolute_Value_(album)
Number system extending the rational numbers
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
P-adic_number
Theorem in linear algebra
powers Ak as k → ∞ is controlled by the eigenvalue of A with the largest absolute value (modulus). The Perron–Frobenius theorem describes the properties of
Perron–Frobenius_theorem
Mathematical concept
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
Approximation_error
Number representation system
manner to represent larger values by convention. Although the absolute value of each sign is independent of its position, the value of the resulting sequence
Sign-value_notation
Product of a number by itself
the interval [0, +∞). On the negative numbers, numbers with greater absolute value have greater squares, so the square is a monotonically decreasing function
Square_(algebra)
Property determining comparison and ordering
a measure of distance from one object to another. For numbers, the absolute value of a number is commonly applied as the measure of units between a number
Magnitude_(mathematics)
Function spaces generalizing finite-dimensional p norm spaces
\|x\|_{p}=\left(|x_{1}|^{p}+|x_{2}|^{p}+\dotsb +|x_{n}|^{p}\right)^{1/p}.} The absolute value bars can be dropped when p {\displaystyle p} is an even integer, and
Lp_space
Concise notation for large or small numbers
coefficient m is a nonzero real number (usually between 1 and 10 in absolute value, and nearly always written as a terminating decimal). The integer n
Scientific_notation
Mathematical sequence of numbers
the terms' complex arguments follow an arithmetic progression. If the absolute value of the common ratio is smaller than 1, the terms will decrease in magnitude
Geometric_progression
Formula for the derivative of a ratio of functions
\end{aligned}}} Taking the absolute value of the functions is necessary for the logarithmic differentiation of functions that may have negative values, as logarithms
Quotient_rule
Topics referred to by the same term
inconceivable quantity Absolute magnitude, the brightness of a star Absolute value, a notion in mathematics, commonly a number's numerical value without regard
Absolute
IEEE standard for floating-point arithmetic
negative value. Subnormal values fill the underflow gap with values where the absolute distance between them is the same as for adjacent values just outside
IEEE_754
Equation to derive time of sunset and sunrise
_{2}}{\cos \phi \,\cos \delta _{2}}}.} If the right hand side has an absolute value greater than 1, then the Sun does not go below the horizon on that day
Sunrise_equation
Statistical hypothesis test
Assume for simplicity that the observations in the sample have distinct absolute values and that no observation equals zero. (Zeros and ties introduce several
Wilcoxon_signed-rank_test
Finite extension of the rationals
absolute value on R {\displaystyle \mathbb {R} } to K {\displaystyle K} gives an archimedean absolute value on K {\displaystyle K} ; such an absolute
Algebraic_number_field
Sum of an (infinite) geometric progression
the 2-adic numbers using the 2-adic absolute value as a convergence metric. In that case, the 2-adic absolute value of the common coefficient is | r |
Geometric_series
On all absolute values of rational numbers
non-trivial 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
Ostrowski's_theorem
Number property of being positive or negative
belongs a positive real number, its absolute value. For example, the absolute value of −3 and the absolute value of 3 are both equal to 3. This is written
Sign_(mathematics)
Theorem on extension of bounded linear functionals
linear functional F {\displaystyle F} is continuous if and only if its absolute value | F | {\displaystyle |F|} (which is a seminorm that dominates F {\displaystyle
Hahn–Banach_theorem
Length of a line segment
two points on the real line is the absolute value of the numerical difference of their coordinates, their absolute difference. Thus if p {\displaystyle
Euclidean_distance
South Korean actor and singer
캐스팅 [N.Flying's Kim Jae-hyun to become a high school teacher… Cast in Absolute Value of Romance]. Ten Asia (in Korean). Retrieved February 11, 2026. "엔플라잉
Kim_Jae-hyun
Philosophical concept
legitimate ends: [T]he more the value to which action is oriented is elevated to the status of an absolute [intrinsic] value, the more "irrational" in this
Instrumental and intrinsic value
Instrumental_and_intrinsic_value
the highest absolute value, 4.8001142, of all the cells to be zeroed.. After 10 iterations of zeroing the cell with the maximum absolute value using Jacobian
Jacobi_rotation
Mathematical term
The steepness, incline, or grade of a line is the absolute value of its slope: greater absolute value indicates a steeper line. The line trend is defined
Slope
Square roots of the eigenvalues of the self-adjoint operator
example in R 2 {\displaystyle \mathbb {R} ^{2}} ). The singular values are the absolute values of the eigenvalues of a normal matrix A {\displaystyle A}
Singular_value
Locally compact topological field
available for functions defined on local fields. Given a local field, an absolute value can be defined on it which gives rise to a complete metric that generates
Local_field
Logarithmic unit expressing the ratio of physical quantities
has since also been used for expressing an absolute value that is relative to some fixed reference value, in which case the dB symbol is often suffixed
Decibel
Real number that is strictly less than zero
The absolute value of a number is the non-negative number with the same magnitude. For example, the absolute value of −3 and the absolute value of 3
Negative_number
Extension of the factorial function
{\displaystyle \Re (z)\in [1,2]} and x ≥ 1 {\displaystyle x\geq 1} , the absolute value of the last integral is smaller than ( x + 1 ) e − x {\displaystyle
Gamma_function
Mathematical equation linking e, i and π
coordinates as ( r , θ ) {\displaystyle (r,\theta )} , where r is the absolute value of z (distance from the origin), and θ {\displaystyle \theta } is the
Euler's_identity
Fractal named after mathematician Benoit Mandelbrot
) ) {\displaystyle f_{c}(f_{c}(0))} , and so on, remains bounded in absolute value. This set was first defined and drawn by Robert W. Brooks and Peter
Mandelbrot_set
Computer programming condition
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
Arithmetic_underflow
SI unit of temperature
were correct. For example, in a footnote, Thomson derived the value of −273 °C for absolute zero by calculating the negative reciprocal of 0.00366—the coefficient
Kelvin
Function defined by multiple sub-functions
evaluates trivially to the input value itself. The following table documents the absolute value function at certain values of x {\displaystyle x} : In order
Piecewise_function
Branch of number theory
the integers. In addition to the usual absolute value function |·| : Q → R, there are p-adic absolute value functions |·|p : Q → R, defined for each
Algebraic_number_theory
Approximation technique in integral calculus
{M_{1}(b-a)^{2}}{2n}},} where M 1 {\displaystyle M_{1}} is the maximum value of the absolute value of f ′ ( x ) {\displaystyle f^{\prime }(x)} over the interval
Riemann_sum
Conditions for switching order of integration in calculus
If the above integral of the absolute value is not finite, then the two iterated integrals may have different values . The condition that X and Y are
Fubini's_theorem
Guidance and navigation computer used in Apollo spacecraft
absolute value (DABS) of the data was then computed and stored in the A register. If the number was greater than zero, the DABS decrements the value by
Apollo_Guidance_Computer
Comparisons in quantitative sciences
with vref some reference value, their actual change, actual difference, or absolute change is Δv = v − vref. The term absolute difference is sometimes
Relative_change
Property of geometry, also used to generalize the notion of "distance" in metric spaces
^{1}} , and the triangle inequality expresses a relationship between absolute values. In Euclidean geometry, for right triangles the triangle inequality
Triangle_inequality
Statistical accuracy measure
the absolute difference between At and Ft is divided by half the sum of absolute values of the actual value At and the forecast value Ft. The value of
Symmetric mean absolute percentage error
Symmetric_mean_absolute_percentage_error
Non-sinusoidal waveform
\lfloor \ \rfloor } is the floor function. This can be seen to be the absolute value of a shifted sawtooth wave. For a triangle wave spanning the range [−1
Triangle_wave
add a well chosen step function. If we also use the fact that the absolute values of sine and cosine are periodic with period π, then we get: ∫ | sin
Lists_of_integrals
Symbols used to write numbers
with an integer base, the number of different digits required is the absolute value of the base. For example, decimal (base 10) requires ten digits (0 to
Numerical_digit
Geometry of the location of polynomial roots
properties are related to a single polynomial, such as upper bounds on the absolute values of the roots, which define a disk containing all roots, or lower bounds
Geometrical properties of polynomial roots
Geometrical_properties_of_polynomial_roots
Geometric representation of the complex numbers
the magnitude or modulus of the product is the product of the two absolute values, or moduli, and the angle or argument of the product is the sum of
Complex_plane
Method for assigning values to integrals
Lebesgue-integrable functions, that is, functions which are integrable in absolute value, these definitions coincide with the standard definition of the integral
Cauchy_principal_value
Polynomial root-finding algorithm
absolute value of a univariate polynomial. The method works under the condition that there is only one root (possibly multiple) of maximal absolute value
Bernoulli's_method
Mathematical inequality relating inner products and norms
called Cauchy–Bunyakovsky–Schwarz inequality) is an upper bound on the absolute value of the inner product between two vectors in an inner product space in
Cauchy–Schwarz_inequality
Mode of convergence of an infinite series
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
Absolute_convergence
Number representing a continuous quantity
a b = a b − 1 . {\displaystyle {\frac {a}{b}}=ab^{-1}.} Absolute value: the absolute value of a real number a, denoted | a | , {\displaystyle |a|,} measures
Real_number
Arithmetic operation
of the term whose absolute value is larger. As an example, −6 + 4 = −2; because −6 and 4 have different signs, their absolute values are subtracted, and
Addition
Computer approximation for real numbers
integer with absolute value less than 224 can be exactly represented in the single-precision format, and any integer with absolute value less than 253
Floating-point_arithmetic
On generating functions from counting points on algebraic varieties over finite fields
Frobenius on the stalks of Ek have absolute value at most qk(d−1)/2+1. This estimate can be used to find the absolute value of any eigenvalue α of Frobenius
Weil_conjectures
Strong form of uniform continuity
such that, for every pair of points on the graph of this function, the absolute value of the slope of the line connecting them is not greater than this real
Lipschitz_continuity
Type of sensor
sensing is only able to detect changes in temperature rather than its absolute value. Distributed acoustic sensing relies on light which is Rayleigh backscattered
Distributed_acoustic_sensing
rows}}} |□| 1. Absolute value: if x is a real or complex number, | x | {\displaystyle |x|} denotes its absolute value. 2. Number of elements:
Glossary of mathematical symbols
Glossary_of_mathematical_symbols
Physical quantity of hot and cold
measurements of temperatures near absolute zero. This scale has a reference temperature at the triple point of water, the numerical value of which is defined by
Temperature
Middle quantile of a data set or probability distribution
value in 1869, and the medium in 1880. Mathematics portal Absolute deviation – Difference between a variable's observed value and a reference valuePages
Median
Algebraic object with geometric applications
transformation, then the numerical value of the density ρ must change by a factor of the reciprocal of the absolute value of the determinant of the coordinate
Tensor
ABSOLUTE VALUE
ABSOLUTE VALUE
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Telugu
Absolute
Boy/Male
Hindu, Indian, Kannada, Marathi, Telugu, Traditional
Absolute Brahma
Boy/Male
Gujarati, Hindu, Indian, Malayalam, Marathi, Sanskrit
Absolute Brahma
Boy/Male
Tamil
Chidaakaash | சிதாகாஷ
Absolute Brahma
Chidaakaash | சிதாகாஷ
Boy/Male
Hindu
The supreme absolute truth
Boy/Male
Indian, Sanskrit
Seeker of the Absolute
Boy/Male
Indian, Sanskrit
Alone; One; Absolute
Girl/Female
Gujarati, Hindu, Indian, Kannada, Sanskrit
Absolute; Aloneness
Boy/Male
Tamil
Parabrahmana | பரபà¯à®°à®¹à¯à®®à®¨à®¾
The supreme absolute truth
Parabrahmana | பரபà¯à®°à®¹à¯à®®à®¨à®¾
Boy/Male
Indian
Absolute.
Boy/Male
Tamil
Kevalin | கேவாலீந
Seeker of the absolute
Kevalin | கேவாலீந
Boy/Male
Indian, Sanskrit
Absolute; Aloneness
Boy/Male
Hindu
Resolute
Boy/Male
Tamil
Keval Kumar | கேவலகà¯à®®à®¾à®°
Absolute
Keval Kumar | கேவலகà¯à®®à®¾à®°
Girl/Female
Indian, Sanskrit
Alone; One; Absolute
Boy/Male
Hindu
Absolute
Boy/Male
Indian, Sanskrit
Alone; One; Absolute
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Telugu
Absolute
Boy/Male
Arabic, Muslim
Absolute; Unlimited
Boy/Male
Tamil
Chidakash | சிதாகாஷ
Absolute Brahma
ABSOLUTE VALUE
ABSOLUTE VALUE
Boy/Male
Hindu, Indian, Tamil
Save God
Male
Egyptian
, the scribe of the treasure of the deity Anhurschu.
Girl/Female
Arabic, Muslim
The Daughter of Al-hadis Bin Al-tufayl Al-azdiyah was Known by this Name; She was a Narrator of Hadith
Female
English
Variant form of English Andrea, OHNDRIA means "man; warrior."
Boy/Male
Tamil
Good
Boy/Male
Irish
From Ulster.
Surname or Lastname
English and Irish
English and Irish : according to MacLysaght, a habitational name from an unidentified place in England. There is a current English habitational surname Shambrook, which may be the source.
Girl/Female
Muslim/Islamic
Strong
Girl/Female
British, English
Elf; Power
Female
Italian
Feminine form of of Italian Calvino, CALVINA means "little bald one."
ABSOLUTE VALUE
ABSOLUTE VALUE
ABSOLUTE VALUE
ABSOLUTE VALUE
ABSOLUTE VALUE
n.
One who is resolute; hence, a desperado.
a.
Not immediately dependent on the other parts of the sentence in government; as, the case absolute. See Ablative absolute, under Ablative.
a.
Soluble; as, a solute salt.
v. t. & i.
Resolving, or explaining; as, the Resolute Doctor Durand.
a.
Viewed apart from modifying influences or without comparison with other objects; actual; real; -- opposed to relative and comparative; as, absolute motion; absolute time or space.
a.
No longer in use; gone into disuse; disused; neglected; as, an obsolete word; an obsolete statute; -- applied chiefly to words, writings, or observances.
a.
Absolute.
n.
Doctrine of absolute decrees.
n.
Absolute renunciation or repudiation.
v. i.
To become obsolete; to go out of use.
a.
Loosed from any limitation or condition; uncontrolled; unrestricted; unconditional; as, absolute authority, monarchy, sovereignty, an absolute promise or command; absolute power; an absolute monarch.
a.
Complete in itself; perfect; consummate; faultless; as, absolute perfection; absolute beauty.
adv.
In an absolute, independent, or unconditional manner; wholly; positively.
a.
Pure; unmixed; as, absolute alcohol.
n.
Absolute municipal self-government.
a.
Not adhering; loose; -- opposed to adnate; as, a solute stipule.
v. t.
To absolve; as, to solute sin.
v. t.
To set free, or release, as from some obligation, debt, or responsibility, or from the consequences of guilt or such ties as it would be sin or guilt to violate; to pronounce free; as, to absolve a subject from his allegiance; to absolve an offender, which amounts to an acquittal and remission of his punishment.
a.
Loose; free; liberal; as, a solute interpretation.
a.
Unqualified; absolute; entire; sheer.