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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)
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)
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)
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
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)
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
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
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
Measure of divisibility by a prime 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
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
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
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
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)
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
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
Mathematical logic concept
logic, a formula is said to be absolute to some class of structures (also called models), if it has the same truth value in each of the members of that
Absoluteness_(logic)
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)
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
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
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
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
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
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
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
Method for finding limits in calculus
In calculus, the squeeze theorem (also known as the sandwich theorem, the two policeman and a drunk theorem among other names) is a theorem regarding the
Squeeze_theorem
Topics referred to by the same term
file extension Video game modding, a modification of a computer game Absolute value, also called modulus Mod n cryptanalysis, a partitioning attack applicable
Mod
IEEE standard for floating-point arithmetic
representation is made unique. Most floating point numbers, those with absolute value larger than 2emin, are called normal. They have a significand which
IEEE_754
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
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
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
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
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
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)
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)
Measure of the return on an investment
underperform the benchmark. Within passive portfolio management, the absolute value of the relative return is often called the tracking error, which is
Relative_return
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)
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
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)
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
electrical engineering, the average rectified value (ARV) of a quantity is the average of its absolute value. The ARV of an alternating current indicates
Average_rectified_value
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
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
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
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
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
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
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
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
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
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
Comparisons in quantitative sciences
of the value with respect to the reference value (that is, larger or smaller) does not matter in a particular application, the absolute value may be used
Relative_change
Concepts from linear algebra
important quantity associated with the spectrum of a matrix is the maximum absolute value of all of its eigenvalues. This is known as the spectral radius of the
Eigenvalues_and_eigenvectors
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
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
Square roots of the eigenvalues of the self-adjoint operator A* A
A {\displaystyle A} is a normal matrix, then its singular values are the absolute values of its eigenvalues. Indeed, in this case, the spectral theorem
Singular_value
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
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
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
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
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
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
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
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
Part of mathematics that addresses the stability of solutions
complex numbers with absolute value strictly less than 1 then a is a stable fixed point; if at least one of them has absolute value strictly greater than
Stability_theory
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
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
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
South Korean singer and actor (born 1994)
to play the role of Jung Gi-jeon in the upcoming television series Absolute Value of Romance which is set to premiere in April 2026. All song credits
Demian_(singer)
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
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
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
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
Specific values of a multivalued function
principal value at a point of a multivalued function is distinguished from the other values by being the one whose argument has the smallest absolute value, and
Principal_value
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
Notion in mathematics
Absolute value Truth value Collins, Joseph Victor (1893). Text-book of Algebra: Through Quadratic Equations. Albert, Scott & Company. p. 64. "Value"
Value_(mathematics)
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
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
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
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
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
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
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
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
Sensitivity of quantity to price
sign and refer to the price elasticity of demand as a positive value (i.e., in absolute value terms). They will say "Yachts have an elasticity of two" meaning
Price_elasticity_of_demand
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
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
Disproved mathematical conjecture
in 2011, Kuznetsov found the largest known negative value (largest in the sense of absolute value) m ( n ) ≈ − 0.585768 {\displaystyle m(n)\approx -0
Mertens_conjecture
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
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
Formula for the derivative of a product
Note: Taking the absolute value of the functions is necessary for the logarithmic differentiation of functions that may have negative values, as logarithms
Product_rule
Solution to x*x + y*y + z*z = 3xyz
D=b^{2}-4ac} , then there are integers x, y for which f takes a nonzero value of absolute value at most D 3 {\displaystyle {\frac {\sqrt {D}}{3}}} unless f is
Markov_number
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
ABSOLUTE VALUE
ABSOLUTE VALUE
Boy/Male
Indian, Sanskrit
Seeker of the Absolute
Boy/Male
Gujarati, Hindu, Indian, Malayalam, Marathi, Sanskrit
Absolute Brahma
Boy/Male
Tamil
Keval Kumar | கேவலகà¯à®®à®¾à®°
Absolute
Keval Kumar | கேவலகà¯à®®à®¾à®°
Boy/Male
Tamil
Kevalin | கேவாலீந
Seeker of the absolute
Kevalin | கேவாலீந
Boy/Male
Indian
Absolute.
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
Hindu
Absolute
Girl/Female
Gujarati, Hindu, Indian, Kannada, Sanskrit
Absolute; Aloneness
Boy/Male
Hindu
Resolute
Boy/Male
Tamil
Chidaakaash | சிதாகாஷ
Absolute Brahma
Chidaakaash | சிதாகாஷ
Boy/Male
Arabic, Muslim
Absolute; Unlimited
Boy/Male
Indian, Sanskrit
Alone; One; Absolute
Boy/Male
Indian, Sanskrit
Absolute; Aloneness
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Telugu
Absolute
Boy/Male
Tamil
Chidakash | சிதாகாஷ
Absolute Brahma
Chidakash | சிதாகாஷ
Boy/Male
Hindu, Indian, Kannada, Marathi, Telugu, Traditional
Absolute Brahma
Girl/Female
Indian, Sanskrit
Alone; One; Absolute
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Telugu
Absolute
Boy/Male
Indian, Sanskrit
Alone; One; Absolute
Boy/Male
Hindu
The supreme absolute truth
ABSOLUTE VALUE
ABSOLUTE VALUE
Boy/Male
British, English, Irish
Pledge
Boy/Male
Arabic, Muslim
Father of Husain; Caliph Ali
Male
Egyptian
, the Mummied Hawk.
Girl/Female
French
Feminine of Charles meaning manly.
Boy/Male
Muslim
Pleasure giver, Beautiful, Adorned
Male
German
Contracted form of Old High German Hrodwulf, HRODULF means "famous wolf."
Boy/Male
Muslim
The light
Boy/Male
Native American
Father.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Son of Vasudeva
Girl/Female
Latin
Derived from 'orabilis' meaning yielding to prayer. Famous bearer: Lady Arabella Stuart was...
ABSOLUTE VALUE
ABSOLUTE VALUE
ABSOLUTE VALUE
ABSOLUTE VALUE
ABSOLUTE VALUE
a.
Loose; free; liberal; as, a solute interpretation.
v. t.
To absolve; as, to solute sin.
a.
Not immediately dependent on the other parts of the sentence in government; as, the case absolute. See Ablative absolute, under Ablative.
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.
Absolute renunciation or repudiation.
a.
Unqualified; absolute; entire; sheer.
a.
Complete in itself; perfect; consummate; faultless; as, absolute perfection; absolute beauty.
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.
Soluble; as, a solute salt.
n.
Doctrine of absolute decrees.
a.
Pure; unmixed; as, absolute alcohol.
n.
One who is resolute; hence, a desperado.
a.
Not adhering; loose; -- opposed to adnate; as, a solute stipule.
v. t. & i.
Resolving, or explaining; as, the Resolute Doctor Durand.
adv.
In an absolute, independent, or unconditional manner; wholly; positively.
v. i.
To become obsolete; to go out of use.
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.
n.
Absolute municipal self-government.