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Topics referred to by the same term
J-function may refer to: The Klein j-invariant or j function in mathematics Leverett J-function in petroleum engineering This disambiguation page lists
J-function
Modular function in mathematics
In mathematics, the j-invariant or j function is a modular function of weight zero for the special linear group SL ( 2 , Z ) {\displaystyle \operatorname
J-invariant
Mathematical function having a characteristic S-shaped curve or sigmoid curve
sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the
Sigmoid_function
Function in fluid dynamics
In fluid dynamics and geology, the Leverett J-function is a dimensionless function used to describe the capillary pressure required to force a fluid into
Leverett_J-function
Family of solutions to related differential equations
gamma function has simple poles at each of the non-positive integers): J − n ( x ) = ( − 1 ) n J n ( x ) . {\displaystyle J_{-n}(x)=(-1)^{n}J_{n}(x)
Bessel_function
Extension of the factorial function
gamma function (represented by Γ {\displaystyle \Gamma } , capital Greek letter gamma) is the most common extension of the factorial function to complex
Gamma_function
Association of one output to each input
mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the
Function_(mathematics)
Continued fraction closely related to the Rogers–Ramanujan identities
}} denotes the infinite q-Pochhammer symbol, j is the j-function, and 2F1 is the hypergeometric function. The Rogers–Ramanujan continued fraction is then
Rogers–Ramanujan continued fraction
Rogers–Ramanujan_continued_fraction
Function specifying the behavior of a component in an electronic or control system
a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that models
Transfer_function
Multivalued function in mathematics
j + 1 = w j − w j e w j − z w j e w j + e w j − ( w j + 2 ) ( w j e w j − z ) 2 w j + 2 {\displaystyle w_{j+1}=w_{j}-{\frac {w_{j}e^{w_{j}}-z}{w_{j
Lambert_W_function
S-shaped curve
A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac
Logistic_function
Mathematical function, used to describe magnetization
Langevin function could then be seen as a special case of the more general Brillouin function if the quantum number J {\displaystyle J} was infinite ( J → ∞
Brillouin and Langevin functions
Brillouin_and_Langevin_functions
Analytic function in mathematics
The Riemann zeta function or Euler–Riemann zeta function, denoted by the lowercase Greek letter ζ (zeta), is a mathematical function of a complex variable
Riemann_zeta_function
In mathematics, the Weber modular functions are a family of three functions f, f1, and f2, studied by Heinrich Martin Weber. Let q = e 2 π i τ {\displaystyle
Weber_modular_function
Fast-growing function
Friedman's SSCG function is a mathematical function defined by Harvey Friedman. It is defined by SSCG ( k ) {\displaystyle {\text{SSCG}}(k)} as the largest
Friedman's_SSCG_function
Functions of an angle
mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of
Trigonometric_functions
Sigmoid shape special function
mathematics, the error function (also called the Gauss error function), often denoted by e r f {\displaystyle \mathbf {erf} } , is the function erf ( z ) = 2
Error_function
Monster and modular connection
unexpected connection between the monster group M and modular functions, in particular the j function. The initial numerical observation was made by John McKay
Monstrous_moonshine
Smooth approximation of one-hot arg max
The softmax function, also known as softargmax or normalized exponential function, converts a tuple of K real numbers into a probability distribution
Softmax_function
Mapping arbitrary data to fixed-size values
A hash function is any function that can be used to map data of arbitrary size to fixed-size values, though there are some hash functions that support
Hash_function
function, nearest neighbor distance distribution, nearest-neighbor distribution function or nearest neighbor distribution is a mathematical function that
Nearest neighbour distribution
Nearest_neighbour_distribution
Linear combination of indicator functions of real intervals
mathematics, a function on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals
Step_function
Formal power series
generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Generating functions are often
Generating_function
Anger function, introduced by C. T. Anger (1855), is a function defined as J ν ( z ) = 1 π ∫ 0 π cos ( ν θ − z sin θ ) d θ {\displaystyle \mathbf {J} _{\nu
Anger_function
Function that preserves distinctness
In mathematics, an injective function (also known as injection, or one-to-one function) is a function f that maps distinct elements of its domain to distinct
Injective_function
Mathematical function
In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function: ψ ( z ) = d d z ln Γ ( z ) = Γ ′ ( z ) Γ ( z )
Digamma_function
Mathematical function whose derivative exists
or complex function of a single variable is differentiable if its derivative exists at each point in its domain. For real-valued functions of a real variable
Differentiable_function
Special function in the physical sciences
mathematics, the Airy function (or Airy function of the first kind) A i ( x ) {\displaystyle \mathbf {Ai({\boldsymbol {x}})} } is a special function named after
Airy_function
Analytic function that does not satisfy a polynomial equation
mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation whose coefficients are functions of the independent variable
Transcendental_function
Mathematical equation
} At least four methods to find the j-function inverse can be given. Dedekind defines the j-function by its Schwarz derivative in his letter to
Picard–Fuchs_equation
Artificial neural network node function
In artificial neural networks, the activation function of a node is a function that calculates the output of the node based on its individual inputs and
Activation_function
Generalized function whose value is zero everywhere except at zero
Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real
Dirac_delta_function
Mathematical relation assigning a probability event to a cost
optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one
Loss_function
Model of electrical resistance
or tunnel) from one site to another. In the t-J model, instead of U, there is the parameter J, function of the ratio t/U. Like the Hubbard model, it is
T-J_model
Mathematical function
the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial
Beta_function
Multiplicative function in number theory
(n),} where δ i j {\displaystyle \delta _{ij}} is the Kronecker delta, λ ( n ) {\displaystyle \lambda (n)} is the Liouville function, and ω ( n ) {\displaystyle
Möbius_function
Function uniquely mapping two numbers into a single number
mathematics, a pairing function is a process to uniquely encode two natural numbers into a single natural number. Any pairing function can be used in set
Pairing_function
Functions in mathematics
the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U → R {\displaystyle f:U\to \mathbb {R} }
Harmonic_function
Real function with secant line between points above the graph itself
function is called convex if the line segment between any two distinct points on the graph of the function lies above or on the graph of the function
Convex_function
Special mathematical function defined as sin(x)/x
In mathematics, physics and engineering, the sinc function (/ˈsɪŋk/ SINK), denoted by sinc(x), is defined as either sinc ( x ) = sin x x . {\displaystyle
Sinc_function
Negative of a convex function
In mathematics, a concave function is one for which the function value at any convex combination of elements in the domain is greater than or equal to
Concave_function
Tent function, often used in signal processing
A triangular function (also known as a triangle function, hat function, or tent function) is a function whose graph takes the shape of a triangle. Often
Triangular_function
Function related to statistics and probability theory
A likelihood function (often simply called the likelihood) measures how well a statistical model explains observed data by calculating the probability
Likelihood_function
Algebraic variety
zero means such a function field has a single transcendental function as generator: for example the j-function generates the function field of X(1) = PSL(2
Modular_curve
Method of solution to differential equations
In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with
Green's_function
Mathematical function
y = ∑ j = j 0 ∞ a j t j = ∑ j = j 0 ∞ a j ( x − x 0 ) j / e . {\displaystyle y=\sum _{j=j_{0}}^{\infty }a_{j}t^{j}=\sum _{j=j_{0}}^{\infty }a_{j}(x-x_{0})^{j/e}
Algebraic_function
Mathematical function
In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}
Gaussian_function
Continuous function that is not absolutely continuous
In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous. It is a notorious counterexample in
Cantor_function
Arithmetical function
Jordan's totient function, denoted as J k ( n ) {\displaystyle J_{k}(n)} , where k {\displaystyle k} is a positive integer, is a function of a positive integer
Jordan's_totient_function
Function defined by multiple sub-functions
mathematics, a piecewise function (also called a piecewise-defined function, a hybrid function, or a function defined by cases) is a function whose domain is partitioned
Piecewise_function
Generalization of the Jack polynomial
polynomials and Macdonald polynomials. The Jack function J κ ( α ) ( x 1 , x 2 , … , x m ) {\displaystyle J_{\kappa }^{(\alpha )}(x_{1},x_{2},\ldots ,x_{m})}
Jack_function
Order-preserving mathematical function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept
Monotonic_function
Alternate way to define a function in APL
A direct function (dfn, pronounced "dee fun") is an alternative way to define a function and operator (a higher-order function) in the programming language
Direct_function
Indicator function of rational numbers
In mathematics, the Dirichlet function is the indicator function 1 Q {\displaystyle \mathbf {1} _{\mathbb {Q} }} of the set of rational numbers Q {\displaystyle
Dirichlet_function
2-dimensional polar coordinate function
This function is frequently used in image processing.[failed verification] It can be defined through the Bessel function of the first kind ( J 1 {\displaystyle
Sombrero_function
Generalization of the Meijer G-function and the Fox–Wright function
1 2 π i ∫ L ∏ j = 1 m Γ ( b j + B j s ) ∏ j = 1 n Γ ( 1 − a j − A j s ) ∏ j = m + 1 q Γ ( 1 − b j − B j s ) ∏ j = n + 1 p Γ ( a j + A j s ) z − s d s
Fox_H-function
Function that is continuous everywhere but differentiable nowhere
mathematics, the Weierstrass function, named after its discoverer, Karl Weierstrass, is an example of a real-valued function that is continuous everywhere
Weierstrass_function
In mathematics, the Koenigs function is a function arising in complex analysis and dynamical systems. Introduced in 1884 by the French mathematician Gabriel
Koenigs_function
Operation on mathematical functions
two functions, f {\displaystyle f} and g {\displaystyle g} , and returns a new function f ∘ g {\displaystyle f\circ g} . When the composite function f ∘
Function_composition
Mathematical description of quantum state
In quantum mechanics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common
Wave_function
Mathematical functions related to Weierstrass's elliptic function
mathematics, the Weierstrass functions are special functions of a complex variable that are auxiliary to the Weierstrass elliptic function. They are named for
Weierstrass_functions
Hyperbolic analogues of trigonometric functions
In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just
Hyperbolic_functions
Statistical function that defines the quantiles of a probability distribution
probability distribution's quantile function is the inverse of its cumulative distribution function. That is, the quantile function of a distribution D {\displaystyle
Quantile_function
Mathematical function, denoted exp(x) or e^x
In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. It is denoted
Exponential_function
Mathematical concept
In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists
Inverse_function
Special functions of several complex variables
mathematics, theta functions are special functions of several complex variables. Fundamentally, they are a family of continuous functions which encode the
Theta_function
Mathematical function such that every output has at least one input
surjective function (also known as surjection, or onto function /ˈɒn.tuː/) is a function f such that, for every element y of the function's codomain, there
Surjective_function
Concept in mathematics
formula for the gamma function: ∏ j = 1 n − 1 Γ ( j n ) = ( 2 π ) n − 1 n {\displaystyle \prod _{j=1}^{n-1}\Gamma \left({\frac {j}{n}}\right)={\sqrt {\frac
K-function
Function returning minus 1, zero or plus 1
In mathematics, the sign function or signum function (from signum, Latin for "sign") is a function that has the value −1, +1 or 0 according to whether
Sign_function
Type of function in complex analysis
mathematics, plurisubharmonic functions (sometimes abbreviated as psh, plsh, or plush functions) form an important class of functions used in complex analysis
Plurisubharmonic_function
demand function equals q i = γ i + β i p i ( y − ∑ j γ j p j ) {\displaystyle q_{i}=\gamma _{i}+{\frac {\beta _{i}}{p_{i}}}(y-\sum _{j}\gamma _{j}p_{j})}
Stone–Geary_utility_function
Types of special mathematical functions
In mathematics, the upper and lower incomplete gamma functions are types of special functions which arise as solutions to various mathematical problems
Incomplete_gamma_function
Function whose domain is the positive integers
prime-counting functions. This article provides links to functions of both classes. An example of an arithmetic function is the divisor function whose value
Arithmetic_function
Sexual health concept
Sexual function is how the body reacts in different stages of the sexual response cycle. It is defined as the ability of an individual to react sexually
Sexual_function
Number of integers coprime to and less than n
often called Euler's phi function or simply the phi function. In 1879, J. J. Sylvester coined the term totient for this function, so it is also referred
Euler's_totient_function
Function used as a performance test problem for optimization algorithms
In mathematical optimization, the Rosenbrock function is a non-convex function, introduced by Howard H. Rosenbrock in 1960, which is used as a performance
Rosenbrock_function
Function used as a performance test problem for optimization algorithms
form of a function in n {\displaystyle n} dimensions with m {\displaystyle m} maxima is: f ( x → ) = ∑ i = 1 m ( c i + ∑ j = 1 n ( x j − a j i ) 2 ) −
Shekel_function
Theorem in mathematics
mathematical analysis, the inverse function theorem gives sufficient conditions for a function to have an inverse function. The essential idea is that if
Inverse_function_theorem
Function that returns its argument unchanged
mathematics, an identity function, also called an identity relation, identity map or identity transformation, is a function that always returns the value
Identity_function
Function in probability theory
N ∑ j = 1 N w i C ( x i , x j ) w j . {\displaystyle \operatorname {var} (X)=\sum _{i=1}^{N}\sum _{j=1}^{N}w_{i}C(x_{i},x_{j})w_{j}.} A function is a
Covariance_function
Mathematical approximation of a function
of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the
Taylor_series
Complex-differentiable (mathematical) function
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood
Holomorphic_function
Ratio of polynomial functions
In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator
Rational_function
spherical contact distribution function, first contact distribution function, or empty space function is a mathematical function that is defined in relation
Spherical contact distribution function
Spherical_contact_distribution_function
In vector calculus, an invex function is a differentiable function f {\displaystyle f} from R n {\displaystyle \mathbb {R} ^{n}} to R {\displaystyle \mathbb
Invex_function
Theorem in axiomatic set theory
denotes the cofinality function; the gimel function is used for studying the continuum function and the cardinal exponentiation function. The symbol ℷ {\displaystyle
Gimel_function
Function that is holomorphic on the whole complex plane
In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic on the whole complex plane
Entire_function
Function in computational chemistry
In computational chemistry, the Fukui function or frontier function is a function that describes the electron density in a frontier orbital, as a result
Fukui_function
Function with unusual fractal properties
In mathematics, Minkowski's question-mark function, denoted ?(x), is a function with unusual fractal properties, defined by Hermann Minkowski in 1904
Minkowski's question-mark function
Minkowski's_question-mark_function
functions. They were introduced by René-Louis Baire in 1899. A Baire set is a set whose characteristic function is a Baire function. Baire functions of
Baire_function
Asymmetric sigmoid function
or Gompertz function is a type of mathematical model for a time series, named after Benjamin Gompertz (1779–1865). It is a sigmoid function which describes
Gompertz_function
the Lommel functions sμ,ν(z) and Sμ,ν(z), introduced by Eugen von Lommel (1880), s μ , ν ( z ) = π 2 [ Y ν ( z ) ∫ 0 z x μ J ν ( x ) d x − J ν ( z ) ∫
Lommel_function
Type of energy
In solid-state physics, the work function (sometimes spelled workfunction) is the minimum thermodynamic work (i.e., energy) needed to remove an electron
Work_function
Set of all things that may be the input of a mathematical function
In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by dom ( f ) {\displaystyle \operatorname
Domain_of_a_function
Correlation as a function of distance
A correlation function is a function that gives the statistical correlation between random variables, contingent on the spatial or temporal distance between
Correlation_function
Programming language
FL, J supports function-level programming via its tacit programming features. Unlike most languages that support object-oriented programming, J's flexible
J_(programming_language)
Smooth and compactly supported function
analysis, a bump function is a localized auxiliary function, usually chosen to be smooth and to have compact support. Bump functions are commonly used
Bump_function
Mathematical function
the Chebyshev function is either a scalarising function (Tchebycheff function) or one of two related functions. The first Chebyshev function ϑ(x) or θ(x)
Chebyshev_function
Function defined by a hypergeometric series
hypergeometric function 2F1(a, b; c; z) is a special function represented by the hypergeometric series, that includes many other special functions as specific
Hypergeometric_function
Summatory function of the Möbius function
In number theory, the Mertens function is defined for all positive integers n as M ( n ) = ∑ k = 1 n μ ( k ) , {\displaystyle M(n)=\sum _{k=1}^{n}\mu (k)
Mertens_function
J FUNCTION
J FUNCTION
Boy/Male
American, British, English
Attractive; From the Initials J C
Girl/Female
English American
Based on the initials J. C. or an abbreviation of Jacinda.
Girl/Female
English
Based on the initials J. C. or an abbreviation of Jacinda.
Girl/Female
American, Australian, Greek
Hyacinth Flower; Healer; Beautiful; Initials J and C Combined
Girl/Female
English
Based on the initials J. C. or an abbreviation of Jacinda.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Moon in the Water; J God Shiva
Girl/Female
English
Based on the initials J. C. or an abbreviation of Jacinda.
Girl/Female
American, Australian, British, English
Initials J and C Combined; Jaybird; Based on the Initials J C or an Abbreviation of Jacinda; A Blue; Crested Bird
Girl/Female
American, British, English
Initials J and C Combined; Based on the Initials J C or an Abbreviation of Jacinda
Girl/Female
English
Based on the initials J. C. or an abbreviation of Jacinda.
Girl/Female
American, Australian, British, English
Initials J and C Combined; Based on the Initials J C or an Abbreviation of Jacinda
Girl/Female
English
Based on the initials J. C. or an abbreviation of Jacinda.
Boy/Male
American, Australian
From the Initials J C
Boy/Male
American, Australian, Chinese, Greek
A Healing; A Combination of the Initials J and C
Girl/Female
American, Australian, British, Chinese, English
Attractive; Based on the Initials J C; An Abbreviation of Jacinda
Girl/Female
English
Based on the initials J. C. or an abbreviation of Jacinda.
Girl/Female
English American
Based on the initials J. C. or an abbreviation of Jacinda.
Boy/Male
American, Australian, British, English
Phonetic Name Based on Initials; Combination of Initials J and D
Girl/Female
American, Australian, British, English
Based on the Initials J C; To Protect; An Abbreviation of Jacinda
Girl/Female
American, British, English
Based on the Initials J C; An Abbreviation of Jacinda
J FUNCTION
J FUNCTION
Boy/Male
Muslim/Islamic
Servant of the Glorious
Girl/Female
Gujarati, Indian
Goddess Lakshmi
Girl/Female
American, British, English
God will Add; A Well-established Compound of Jo
Boy/Male
Arabic
Star
Male
German
Variant form of German Ercanbald, ARCHIMBALD means "genuine courage."
Boy/Male
Australian, British, Christian, English
Home Ruler
Surname or Lastname
Americanized form of German Gehr.English
Americanized form of German Gehr.English : perhaps a variant of Geary 3.Hungarian : from a reduced form of the personal name Gergely, Latin Gregorius (see Gregory).
Boy/Male
French, German, Indian, Latin, Parsi, Slovenia, Spanish
The Master of the Treasure; Treasurer; Treasure Bearer
Boy/Male
Irish
Red-haired.
Female
Russian
 Short form of Russian Yekaterina, KATA means "pure." Compare with other forms of Kata.
J FUNCTION
J FUNCTION
J FUNCTION
J FUNCTION
J FUNCTION
n.
Any one of several species of Old World birds of the genus Jynx, allied to the woodpeckers; especially, the common European species (J. torguilla); -- so called from its habit of turning the neck around in different directions. Called also cuckoo's mate, snakebird, summer bird, tonguebird, and writheneck.
adv.
In a functional manner; as regards normal or appropriate activity.
a.
Pertaining to, or discovered by, J. F. Meckel, a German anatomist.
n.
See Fit a song. G () G is the seventh letter of the English alphabet, and a vocal consonant. It has two sounds; one simple, as in gave, go, gull; the other compound (like that of j), as in gem, gin, dingy. See Guide to Pronunciation, // 231-6, 155, 176, 178, 179, 196, 211, 246.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
n.
A small haven. See Hithe. I () I, the ninth letter of the English alphabet, takes its form from the Phoenician, through the Latin and the Greek. The Phoenician letter was probably of Egyptian origin. Its original value was nearly the same as that of the Italian I, or long e as in mete. Etymologically I is most closely related to e, y, j, g; as in dint, dent, beverage, L. bibere; E. kin, AS. cynn; E. thin, AS. /ynne; E. dominion, donjon, dungeon.
adv.
Certainly; most likely; truly; probably. Z () Z, the twenty-sixth and last letter of the English alphabet, is a vocal consonant. It is taken from the Latin letter Z, which came from the Greek alphabet, this having it from a Semitic source. The ultimate origin is probably Egyptian. Etymologically, it is most closely related to s, y, and j; as in glass, glaze; E. yoke, Gr. /, L. yugum; E. zealous, jealous. See Guide to Pronunciation, // 273, 274.
n.
One who explains the higher functions and relations of the soul by the association of ideas; e. g., Hartley, J. C. Mill.
a.
Destitute of function, or of an appropriate organ. Darwin.
v. t.
To assign to some function or office.
a.
Pertaining to the function of an organ or part, or to the functions in general.
a.
Godlike; heavenly; excellent in the highest degree; supremely admirable; apparently above what is human. In this application, the word admits of comparison; as, the divinest mind. Sir J. Davies.
pl.
of Functionary
n.
A shrubby plant of the genus Jasminum, bearing flowers of a peculiarly fragrant odor. The J. officinale, common in the south of Europe, bears white flowers. The Arabian jasmine is J. Sambac, and, with J. angustifolia, comes from the East Indies. The yellow false jasmine in the Gelseminum sempervirens (see Gelsemium). Several other plants are called jasmine in the West Indies, as species of Calotropis and Faramea.
a.
Of or pertaining to the Englishman J. L. M. Smithson, or to the national institution of learning which he endowed at Washington, D. C.; as, the Smithsonian Institution; Smithsonian Reports.
a.
Pertaining to, or connected with, a function or duty; official.
n.
The letter z; -- formerly so called. J () J is the tenth letter of the English alphabet. It is a later variant form of the Roman letter I, used to express a consonantal sound, that is, originally, the sound of English y in yet. The forms J and I have, until a recent time, been classed together, and they have been used interchangeably.
n.
Any finch of the genus Junco which appears in flocks in winter time, especially J. hyemalis in the Eastern United States; -- called also blue snowbird. See Junco.