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Distance from zero to a number
In mathematics, the absolute value or modulus of a real number x, denoted |x|, is the (non-negative) magnitude of x measured without regard to its sign
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)
Summary statistic of variability
as MAD). When the central value is replaced by zero, AAD corresponds to the average absolute value or mean absolute value. Several measures of statistical
Average_absolute_deviation
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)
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 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
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
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
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
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
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
Number with a real and an imaginary part
z⋅z‾=(x+iy)(x−iy)=x2+y2 is a non-negative real number. This allows to define the absolute value (or modulus or magnitude) of z to be the square root |z|=x2+y2. By Pythagoras'
Complex_number
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
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)
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
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
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
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
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
In mathematics, invariant of square matrices
c), (b,d), and (a+b,c+d). The area of this parallogram is the absolute value of the determinant ad−bc of the matrix. The sign of the determinant
Determinant
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
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
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
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
Method for finding limits in calculus
In calculus, the squeeze theorem (also known as the sandwich theorem, the two policemen and a drunk theorem among other names) is a theorem regarding the
Squeeze_theorem
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)
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
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)
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
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
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 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
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
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:
Lists_of_integrals
Number divisible only by 1 and itself
p-adic absolute value |q|p of any rational number q is then defined as |q|p=p−νp(q). Multiplying an integer by its p-adic absolute value cancels
Prime_number
Lowest theoretical temperature
and in ideal cases entropy, reach their minimum values. The Kelvin scale is defined so that absolute zero is 0 Kelvin, equivalent to −273.15 °C on the
Absolute_zero
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
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)
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)
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
Locally compact infinite 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
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
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
Property of geometry, also used to generalize the notion of "distance" in metric spaces
1)\|=|1|+|1|=2=\|\mathbf {u} \|+\|\mathbf {v} \|.} The absolute value is a norm for the real line; as required, the absolute value satisfies the triangle inequality for
Triangle_inequality
Function spaces generalizing finite-dimensional p norm spaces
p-norm or Lp-norm of x is defined by ‖x‖p=(|x1|p+|x2|p+⋯+|xn|p)1/p. The absolute value bars can be dropped when p is an even integer, and x is drawn from the
Lp_space
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
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
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
Formula for the derivative of a ratio of functions
the absolute value and natural logarithm of both sides of the equation gives ln|h(x)|=ln|f(x)g(x)|. Applying properties of the absolute value and logarithms
Quotient_rule
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
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
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
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
Typographic symbol
brackets, it suggests the notion of size. These are: absolute value: |x|, read "the absolute value of x" cardinality: |S|, read "the cardinality of the
Vertical_bar
electrical engineering, the average rectified value (ARV) of a quantity is its average absolute value. The ARV of an alternating current indicates which
Average_rectified_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
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
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)
Meromorphic function on the complex plane
are defined using a Dirichlet character. They thus take complex values with absolute value 1 or are equal to 0. Let m∈ℕ be an integer, and let χ be a Dirichlet
L-function
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
Topics referred to by the same term
brightness of a star Absolute value, a notion in mathematics, commonly a number's numerical value without regard to its sign Absolute pressure, the pressure
Absolute
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
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
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
Elasticity of one variable with respect to another between two given points
measurements were taken in reverse sequence (first 120 and then 80), the absolute value of the percentage change would be the same. In contrast, if the percentage
Arc_elasticity
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
Horizontal and vertical axes/coordinate numbers of a 2D coordinate system or graph
point is the signed measure of its projection on the primary axis. Its absolute value is the distance between the projection and the origin of the axis, and
Abscissa_and_ordinate
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
South Korean singer and actor (born 1994)
Entertainment. Demian plays the role of Jung Gi-jeon in the television series Absolute Value of Romance, which premiered in April 2026. All song credits are adapted
Demian_(singer)
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
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
Formula for the derivative of a product
absolute value of each function and the natural log of both sides of the equation, ln|h(x)|=ln|f(x)g(x)| Applying properties of the absolute value and
Product_rule
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
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
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
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
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
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
Sensitivity of quantity to price
good is said to be inelastic when the elasticity is less than one in absolute value: that is, changes in price have a relatively small effect on the quantity
Price_elasticity_of_demand
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
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
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
Market volatility indicator
minus the most recent period's low Absolute value of the most recent period's high minus the previous close Absolute value of the most recent period's low
Average_true_range
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
Graph in economics
the total cost of acquiring those quantities of the two inputs. The absolute value of the slope of the isocost line, with capital plotted vertically and
Isocost
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
Type of algebraic integer
>1} whose conjugate roots all have absolute value no greater than 1, and at least one of which has absolute value exactly 1. Salem numbers are of interest
Salem_number
Eigenvalue algorithm
produce a number λ {\displaystyle \lambda } , which is the greatest (in absolute value) eigenvalue of A {\displaystyle A} , and a nonzero vector v {\displaystyle
Power_iteration
Largest absolute value of an operator's eigenvalues
the absolute values of its eigenvalues. More generally, the spectral radius of a bounded linear operator is the supremum of the absolute values of the
Spectral_radius
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
positive elements. If a is an element of an ordered ring R, then the absolute value of a, denoted |a|, is defined thus: |a|:={a,if 0≤a,−a,otherwise, where
Ordered_ring
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
Theorem in measure theory
More technically it says that if a sequence of functions is bounded in absolute value by an integrable function and is almost everywhere pointwise convergent
Dominated_convergence_theorem
Pair of polynomial sequences
are polynomials with the largest possible leading coefficient whose absolute value on the interval [−1, 1] is bounded by 1. They are also the "extremal"
Chebyshev_polynomials
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
travel, tourism, insurance
ABSOLUTE VALUE
ABSOLUTE VALUE
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Telugu
Absolute
Boy/Male
Indian, Sanskrit
Alone; One; Absolute
Boy/Male
Tamil
Keval Kumar | கேவலகà¯à®®à®¾à®°
Absolute
Keval Kumar | கேவலகà¯à®®à®¾à®°
Boy/Male
Indian, Sanskrit
Absolute; Aloneness
Boy/Male
Hindu
The supreme absolute truth
Boy/Male
Indian, Sanskrit
Seeker of the Absolute
Boy/Male
Hindu
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
Tamil
Kevalin | கேவாலீந
Seeker of the absolute
Kevalin | கேவாலீந
Boy/Male
Arabic, Muslim
Absolute; Unlimited
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Telugu
Absolute
Boy/Male
Indian
Absolute.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Sanskrit
Absolute; Aloneness
Boy/Male
Gujarati, Hindu, Indian, Malayalam, Marathi, Sanskrit
Absolute Brahma
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
Indian, Sanskrit
Alone; One; Absolute
Boy/Male
Hindu
Resolute
Boy/Male
Tamil
Chidaakaash | சிதாகாஷ
Absolute Brahma
ABSOLUTE VALUE
ABSOLUTE VALUE
ABSOLUTE VALUE
ABSOLUTE VALUE
ABSOLUTE VALUE
ABSOLUTE VALUE
ABSOLUTE VALUE
travel, tourism, insurance