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Mathematical function
the Riemann–Siegel Z function, the Riemann–Siegel zeta function, the Hardy function, the Hardy Z function and the Hardy zeta function. It can be defined
Z_function
Extension of the factorial function
Daniel Bernoulli, the gamma function Γ ( z ) {\displaystyle \Gamma (z)} is defined for all complex numbers z {\displaystyle z} except non-positive integers
Gamma_function
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
Sigmoid shape special function
error function (also called the Gauss error function), often denoted by e r f {\displaystyle \mathbf {erf} } , is the function erf ( z ) = 2 π ∫ 0 z e −
Error_function
Multivalued function in mathematics
functions have the following property: if z {\displaystyle z} and w {\displaystyle w} are any complex numbers, then w e w = z {\displaystyle we^{w}=z}
Lambert_W_function
Mathematical function
The beta function is symmetric, meaning that B ( z 1 , z 2 ) = B ( z 2 , z 1 ) {\displaystyle \mathrm {B} (z_{1},z_{2})=\mathrm {B} (z_{2},z_{1})} for
Beta_function
Family of solutions to related differential equations
.. ( 1 z d d z ) m ( z n + 1 f n ( z ) ) = z n − m + 1 f n − m ( z ) , ( 1 z d d z ) m ( z − n f n ( z ) ) = ( − 1 ) m z − n − m f n + m ( z ) . {\displaystyle
Bessel_function
Complex-differentiable (mathematical) function
regular functions. A holomorphic function whose domain is the whole complex plane is called an entire function. The phrase "holomorphic at a point z 0 {\displaystyle
Holomorphic_function
Mathematical function
digamma function is defined as the logarithmic derivative of the gamma function: ψ ( z ) = d d z ln Γ ( z ) = Γ ′ ( z ) Γ ( z ) . {\displaystyle \psi (z)={\frac
Digamma_function
Concept in mathematics
where 1 F 1 ( a ; b ; z ) = M ( a ; b ; z ) {\displaystyle \;_{1}F_{1}(a;b;z)=M(a;b;z)} is the confluent hypergeometric function. Other pairs of independent
Parabolic_cylinder_function
Mathematical description of quantum state
| r , s z ⟩ = | r ⟩ | s z ⟩ {\displaystyle |\mathbf {r} ,s_{z}\rangle =|\mathbf {r} \rangle |s_{z}\rangle } . The position-space wave function of a single
Wave_function
Function that is holomorphic on the whole complex plane
functions such as the error function. If an entire function f ( z ) {\displaystyle f(z)} has a root at w {\displaystyle w} , then f ( z ) / ( z −
Entire_function
Association of one output to each input
function is illustrated by the multiplicative inverse of the Riemann zeta function: the determination of the domain of definition of the function z ↦
Function_(mathematics)
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
Type of mathematical function
multiple values, such as the elementary function z {\displaystyle {\sqrt {z}}} or log z {\displaystyle \log z} ) for every complex argument, except at
Elementary_function
Meromorphic function
logarithm of the gamma function: ψ ( m ) ( z ) := d m d z m ψ ( z ) = d m + 1 d z m + 1 ln Γ ( z ) . {\displaystyle \psi ^{(m)}(z):={\frac {\mathrm {d}
Polygamma_function
Special mathematical function
complex plane Li –3(z) Li –2(z) Li –1(z) Li0(z) Li1(z) Li2(z) Li3(z) The polylogarithm function is defined by a power series in z generalizing the Mercator
Polylogarithm
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
Mathematical function, denoted exp(x) or e^x
quickly: e z = 1 + 2 z 2 − z + z 2 6 + z 2 10 + z 2 14 + ⋱ {\displaystyle e^{z}=1+{\cfrac {2z}{2-z+{\cfrac {z^{2}}{6+{\cfrac {z^{2}}{10+{\cfrac {z^{2}}{14+\ddots
Exponential_function
Functions in mathematics
functions of three variables are given in the table below with r 2 = x 2 + y 2 + z 2 {\displaystyle r^{2}=x^{2}+y^{2}+z^{2}} : Harmonic functions that
Harmonic_function
Type of function in linear algebra
functional of V − z , {\displaystyle V-z,} which is a continuous sublinear function on X {\displaystyle X} since V − z {\displaystyle V-z} is convex, absorbing
Sublinear_function
Transforming a function in such a way that it only takes a single argument
the prototypical example, one begins with a function f : ( X × Y ) → Z {\displaystyle f:(X\times Y)\to Z} that takes two arguments, one from X {\displaystyle
Currying
Mathematical function, inverse of an exponential function
tangent function: ln ( z ) = 2 ⋅ artanh z − 1 z + 1 = 2 ( z − 1 z + 1 + 1 3 ( z − 1 z + 1 ) 3 + 1 5 ( z − 1 z + 1 ) 5 + ⋯ ) , {\displaystyle \ln(z)=2\cdot
Logarithm
Smooth approximation of one-hot arg max
softmax function σ : R K → ( 0 , 1 ) K {\displaystyle \sigma :\mathbb {R} ^{K}\to (0,1)^{K}} , where K > 1 {\displaystyle K>1} , takes a tuple z = ( z 1
Softmax_function
Formal power series
a ( z ) ⋅ S ( z ) + b ( z ) ⋅ z S ′ ( z ) + c ( z ) ⋅ z 2 S ″ ( z ) + d ( z ) ⋅ z 3 S ‴ ( z ) , {\displaystyle a(z)\cdot S(z)+b(z)\cdot zS'(z)+c(z)\cdot
Generating_function
Special functions of several complex variables
function of z. Accordingly, the theta function is 1-periodic in z: ϑ ( z + 1 ; τ ) = ϑ ( z ; τ ) . {\displaystyle \vartheta (z+1;\tau )=\vartheta (z;\tau
Theta_function
Fundamental trigonometric functions
holomorphic function, sin z is a 2D solution of Laplace's equation: Δ u ( x 1 , x 2 ) = 0. {\displaystyle \Delta u(x_{1},x_{2})=0.} The complex sine function is
Sine_and_cosine
Function that is discontinuous at rationals and continuous at irrationals
Thomae's function is a real-valued function of a real variable that can be defined as: f ( x ) = { 1 q if x = p q ( x is rational), with p ∈ Z and q
Thomae's_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
Mathematical function
the trigamma function, denoted ψ1(z) or ψ(1)(z), is the second of the polygamma functions, and is defined by ψ 1 ( z ) = d 2 d z 2 ln Γ ( z ) {\displaystyle
Trigamma_function
Logarithm of a complex number
(z-z_{0})/(-z_{0})} .[citation needed] 1 z = 1 z 0 ⋅ 1 1 − z − z 0 − z 0 = ∑ n = 0 ∞ 1 z 0 ( z − z 0 − z 0 ) n = ∑ n = 0 ∞ ( − 1 ) n z 0 n + 1 ( z − z 0 ) n
Complex_logarithm
Probability that random variable X is less than or equal to x
F Z ( z ) = F ℜ ( Z ) , ℑ ( Z ) ( ℜ ( z ) , ℑ ( z ) ) = P ( ℜ ( Z ) ≤ ℜ ( z ) , ℑ ( Z ) ≤ ℑ ( z ) ) . {\displaystyle F_{Z}(z)=F_{\Re {(Z)},\Im {(Z)}}(\Re
Cumulative distribution function
Cumulative_distribution_function
Representation of a mathematical function
In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle
Graph_of_a_function
Solution of a confluent hypergeometric equation
, 2 , z ) = ( e z − 1 ) / z , M ( 1 , 3 , z ) = 2 ! ( e z − 1 − z ) / z 2 {\displaystyle M(1,2,z)=(e^{z}-1)/z,\ \ M(1,3,z)=2!(e^{z}-1-z)/z^{2}} etc
Confluent hypergeometric function
Confluent_hypergeometric_function
Mathematical functions
z ) X ⁗ ( z ) = 4 X ′ ( z ) X ‴ ( z ) − 3 X ″ ( z ) 2 + 2 X ( z ) 2 , z ∈ C . {\displaystyle X(z)X''''(z)=4X'(z)X'''(z)-3X''(z)^{2}+2X(z)^{2},\quad z\in
Lemniscate_elliptic_functions
Type of function in mathematics
conjugate function z → z ∗ {\displaystyle z\to z^{*}} is not complex analytic, although its restriction to the real line is the identity function and therefore
Analytic_function
Special case of the polylogarithm
Spence's function), denoted as Li2(z), is a particular case of the polylogarithm. Two related special functions are referred to as Spence's function, the
Dilogarithm
Extension of superfactorials to the complex numbers
In mathematics, the Barnes G-function G ( z ) {\displaystyle G(z)} is a function that is an extension of superfactorials to the complex numbers. It is
Barnes_G-function
Hardy zeta function, alternative names for the Z function Ruelle zeta function Selberg zeta function of a Riemann surface Shimizu L-function Shintani zeta
List_of_zeta_functions
Complex complementary error function
Faddeeva function or Kramp function is a scaled complex complementary error function, w ( z ) := e − z 2 erfc ( − i z ) = erfcx ( − i z ) = e − z 2 ( 1
Faddeeva_function
Description of continuous random distribution
Proof: Let Z {\displaystyle Z} be a collapsed random variable with probability density function p Z ( z ) = δ ( z ) {\displaystyle p_{Z}(z)=\delta (z)} (i.e
Probability_density_function
Inverse functions of sin, cos, tan, etc.
z: ∫ arcsin ( z ) d z = z arcsin ( z ) + 1 − z 2 + C ∫ arccos ( z ) d z = z arccos ( z ) − 1 − z 2 + C ∫ arctan ( z ) d z = z arctan ( z )
Inverse trigonometric functions
Inverse_trigonometric_functions
Mathematical function
log-gamma function log Γ ( z ) = − γ z − log z + ∑ n = 1 ∞ ( z n − log ( 1 + z n ) ) , {\displaystyle \log \Gamma \left(z\right)=-\gamma z-\log z+\sum
Riemann–Siegel_theta_function
Conjecture on zeros of the zeta function
function is real and non-zero. Using the expression for the zeta function on the critical line, ζ(1/2 + it) = Z(t)e−iθ(t), where Hardy's function, Z,
Riemann_hypothesis
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
Function studied by Ramanujan
the Ramanujan tau function, studied by Srinivasa Ramanujan, is the function τ : N → Z {\displaystyle \tau :\mathbb {N} \to \mathbb {Z} } defined by ∑ n
Ramanujan_tau_function
Ratio of polynomial functions
{Q} .} In complex analysis, a rational function f ( z ) = P ( z ) Q ( z ) {\displaystyle f(z)={\frac {P(z)}{Q(z)}}} is the ratio of two polynomials with
Rational_function
Function with a repeating pattern
A periodic function is a function that repeats its values at regular intervals. For example, the trigonometric functions, which are used to describe waves
Periodic_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
Class of mathematical function
functions f ( z ) = e z z and f ( z ) = sin z ( z − 1 ) 2 {\displaystyle f(z)={\frac {e^{z}}{z}}\quad {\text{and}}\quad f(z)={\frac {\sin {z}}{(z-1)^{2}}}}
Meromorphic_function
Function that takes two inputs
binary function if and only if for any x ∈ X {\displaystyle x\in X} and y ∈ Y {\displaystyle y\in Y} , there exists a unique z ∈ Z {\displaystyle z\in Z} such
Binary_function
Mathematical functions
mathematics, the inverse hyperbolic functions are inverses of the hyperbolic functions, analogous to the inverse circular functions. There are six in common use:
Inverse_hyperbolic_functions
Indicator function of positive numbers
The Heaviside step function, or the unit step function, usually denoted by H or θ (but sometimes u, 1 or 𝟙), is a step function named after Oliver Heaviside
Heaviside_step_function
Number with a real and an imaginary part
{\displaystyle z_{0}} if the limit lim z → z 0 f ( z ) − f ( z 0 ) z − z 0 {\displaystyle \lim _{z\to z_{0}}{f(z)-f(z_{0}) \over z-z_{0}}} exists (in
Complex_number
Function specifying the behavior of a component in an electronic or control system
function can be written as: H ( z ) = Y ( z ) X ( z ) = Z { y [ n ] } Z { x [ n ] } . {\displaystyle H(z)={\frac {Y(z)}{X(z)}}={\frac {{\mathcal {Z
Transfer_function
Special function in the physical sciences
below, the Airy functions can be extended to the complex plane, giving entire functions. The asymptotic behaviour of the Airy functions as |z| goes to infinity
Airy_function
Characteristic property of holomorphic functions
| f ( z ) − f ( z 0 ) − f ′ ( z 0 ) ( z − z 0 ) | / | z − z 0 | → 0 {\displaystyle |f(z)-f(z_{0})-f'(z_{0})(z-z_{0})|/|z-z_{0}|\to 0} as z → z 0 {\displaystyle
Cauchy–Riemann_equations
Mathematical function
mathematics, the Mittag-Leffler functions are a family of special functions. They are complex-valued functions of a complex argument z, and moreover depend on
Mittag-Leffler_function
Mathematical function
\sum _{k\in \mathbb {Z} }\exp \left(-\pi \cdot (kc)^{2}\right).} The integral of an arbitrary Gaussian function is ∫ − ∞ ∞ a exp ( − ( x − b
Gaussian_function
Function returning minus 1, zero or plus 1
function can be generalized to complex numbers as: sgn z = z | z | {\displaystyle \operatorname {sgn} z={\frac {z}{|z|}}} for any complex number z {\displaystyle
Sign_function
Special mathematical functions defined on the surface of a sphere
usual p functions ( ℓ = 1 {\displaystyle \ell =1} ) are complex and mix axis directions, but the real versions are essentially just x, y, and z. The complex
Spherical_harmonics
Branch of mathematics studying functions of a complex variable
f} at z 0 {\displaystyle z_{0}} is defined to be f ′ ( z 0 ) = lim z → z 0 f ( z ) − f ( z 0 ) z − z 0 . {\displaystyle f'(z_{0})=\lim _{z\to z_{0}}{\frac
Complex_analysis
Operation in mathematical calculus
x , y , z ) d x + F ( x , y , z ) d y + G ( x , y , z ) d z {\displaystyle E(x,y,z)\,dx+F(x,y,z)\,dy+G(x,y,z)\,dz} where E, F, G are functions in three
Integral
Function family in complex analysis
z} . A definition of antiholomorphic function follows: "[a] function f ( z ) = u + i v {\displaystyle f(z)=u+iv} of one or more complex variables z =
Antiholomorphic_function
Mathematical function whose derivative exists
f ( z ) = z + z ¯ 2 {\displaystyle f(z)={\frac {z+{\overline {z}}}{2}}} is differentiable at every point, viewed as the 2-variable real function f ( x
Differentiable_function
Mathematical function
reciprocal gamma function is the function f ( z ) = 1 Γ ( z ) , {\displaystyle f(z)={\frac {1}{\Gamma (z)}},} where Γ(z) denotes the gamma function. Since the
Reciprocal_gamma_function
Operation on formal power series
function (OGF) of the sequence, denoted F ( z ) {\displaystyle F(z)} , and the exponential generating function (EGF) of the sequence, denoted F ^ ( z
Generating function transformation
Generating_function_transformation
Types of special mathematical functions
z ) = z s Γ ( s ) γ ∗ ( s , z ) , {\displaystyle \gamma (s,z)=z^{s}\,\Gamma (s)\,\gamma ^{*}(s,z),} extends the real lower incomplete gamma function as
Incomplete_gamma_function
Mathematical function
Often the functions to be minimized are not f i {\displaystyle f_{i}} but | f i − z i ∗ | {\displaystyle |f_{i}-z_{i}^{*}|} for some scalars z i ∗ {\displaystyle
Chebyshev_function
In functional programming
function f : ( X × Y × Z ) → N {\displaystyle f\colon (X\times Y\times Z)\to N} , we might fix (or 'bind') the first argument, producing a function of
Partial_application
Power series with negative powers
mathematics, the Laurent series of a complex function f ( z ) {\displaystyle f(z)} is a representation of that function as a power series which includes terms
Laurent_series
In mathematics, a solution to a modified form of the confluent hypergeometric equation
functions Mκ,μ(z), Wκ,μ(z), defined in terms of Kummer's confluent hypergeometric functions M and U by M κ , μ ( z ) = exp ( − z / 2 ) z μ + 1 2 M ( μ
Whittaker_function
Two-dimensional group theory table
and z functions in “linear functions, roatations”. So, Γtrans = 1B1u+1B2u+1B3u Rotational motion has Rx, Ry and Rz functions in “linear functions, roatations”
Character_table
Function for Heun's differential equation
mathematics, the local Heun function H ℓ ( a , q ; α , β , γ , δ ; z ) {\displaystyle H\ell (a,q;\alpha ,\beta ,\gamma ,\delta ;z)} is the solution of Heun's
Heun_function
mathematics, the 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
Anger_function
Function describing an electron in an atom
mechanics, an atomic orbital is a function describing the location and wave-like behavior of an electron in an atom. This function describes an electron's charge
Atomic_orbital
Special mathematical function
about a similar function in 1887. The Lerch transcendent, is given by: Φ ( z , s , α ) = ∑ n = 0 ∞ z n ( n + α ) s {\displaystyle \Phi (z,s,\alpha )=\sum
Lerch_transcendent
Concept in mathematics
gamma function. There are multiple equivalent definitions of the K-function. The direct definition: K ( z ) = ( 2 π ) − z − 1 2 exp [ ( z 2 ) + ∫ 0 z −
K-function
Analytic function on the upper half-plane with a certain behavior under the modular group
Unlike an ordinary periodic function, its symmetries include transformations such as replacing a complex number z by −1/z, and the transformation law
Modular_form
Linear transform from the time domain to the frequency domain
X ( z ) z = z 2 z ( z 2 − 1.5 z + 0.5 ) = z z 2 − 1.5 z + 0.5 {\displaystyle {\frac {X(z)}{z}}={\frac {z^{2}}{z(z^{2}-1.5\,z+0.5)}}={\frac {z}{z^{2}-1
Z-transform
Function with two complex number "periods"
v} are periods of a function f {\displaystyle f} means that f ( z + u ) = f ( z + v ) = f ( z ) {\displaystyle f(z+u)=f(z+v)=f(z)\,} for all values of
Doubly_periodic_function
Method of solution to differential equations
Heaviside step function, J ν ( z ) {\textstyle J_{\nu }(z)} is a Bessel function, I ν ( z ) {\textstyle I_{\nu }(z)} is a modified Bessel function of the first
Green's_function
Probability distribution
density function (or density): φ ( z ) = e − z 2 / 2 2 π . {\displaystyle \varphi (z)={\frac {e^{-z^{2}/2}}{\sqrt {2\pi }}}\,.} The variable z {\displaystyle
Normal_distribution
Second-order partial differential equation
( x , y , z ) {\displaystyle f(x,y,z)} is a twice-differentiable real-valued function. The Laplace operator therefore maps a scalar function to another
Laplace's_equation
Generalized mathematical function
analytic function f ( z ) {\displaystyle f(z)} in some neighbourhood of a point z = a {\displaystyle z=a} . This is the case for functions defined by
Multivalued_function
Complex exponential in terms of sine and cosine
the function d f d z = f {\displaystyle {\frac {df}{dz}}=f} and f ( 0 ) = 1. {\displaystyle f(0)=1.} For complex z e z = 1 + z 1 ! + z 2 2 ! + z 3 3
Euler's_formula
Derivative of a function with multiple variables
the function in the x {\displaystyle x} -direction. Sometimes, for z = f ( x , y , … ) {\displaystyle z=f(x,y,\ldots )} , the partial derivative of z {\displaystyle
Partial_derivative
Arithmetic operation
numbers z with the definition: ∞ z = ⋅ ⋅ z z z = e − W ( − ln z ) = W ( − ln z ) − ln z , {\displaystyle {}^{\infty }z=\cdot ^{\cdot ^{z^{z^{z}}}}=e^{-\mathrm
Tetration
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
Mathematical function
Wright omega function or Wright function, denoted ω, is defined in terms of the Lambert W function as: ω ( z ) = W ⌈ I m ( z ) − π 2 π ⌉ ( e z ) . {\displaystyle
Wright_omega_function
Mathematical function
z ) ( ( 1 − m ) z − E ( z ) + m cd ( z ) sn ( z ) ) 2 m ( 1 − m ) , d d m cn ( z ) = sn ( z ) dn ( z ) ( ( m − 1 ) z + E ( z ) − m sn ( z
Jacobi_elliptic_functions
Function whose actual domain of definition may be smaller than its apparent domain
{\displaystyle f} is the square root function restricted to the integers f : Z → N , {\displaystyle f:\mathbb {Z} \to \mathbb {N} ,} defined by: f ( n
Partial_function
Class of functions behaving "like" periodic functions
\omega } if f ( z + ω ) = g ( z , f ( z ) ) {\displaystyle f(z+\omega )=g(z,f(z))} , where g {\displaystyle g} is a "simpler" function than f {\displaystyle
Quasiperiodic_function
Undefined point on a holomorphic function which can be made regular
resulting function is regular in a neighbourhood of that point. For instance, the (unnormalized) sinc function, as defined by sinc ( z ) = sin z z {\displaystyle
Removable_singularity
Negative of a convex function
For a function f : R → R {\displaystyle f:\mathbb {R} \to \mathbb {R} } , this second definition merely states that for every z {\displaystyle z} strictly
Concave_function
Extension of the domain of an analytic function (mathematics)
U, and F is an analytic function defined on V such that F ( z ) = f ( z ) ∀ z ∈ U , {\displaystyle F(z)=f(z)\qquad \forall z\in U,} then F is called an
Analytic_continuation
Continuous function that is not absolutely continuous
the function C z ( y ) = ∑ k = 1 ∞ b k z k . {\displaystyle C_{z}(y)=\sum _{k=1}^{\infty }b_{k}z^{k}.} For z = 1/3, the inverse of the function x = 2 C1/3(y)
Cantor_function
Special function defined by an integral
exponential times the function U ( 1 , 1 , z ) {\displaystyle U(1,1,z)} : E 1 ( z ) = e − z U ( 1 , 1 , z ) {\displaystyle E_{1}(z)=e^{-z}U(1,1,z)} The exponential
Exponential_integral
Fractal sets in complex dynamics of mathematics
rational functions, that is, f ( z ) = p ( z ) / q ( z ) {\displaystyle f(z)=p(z)/q(z)} where p ( z ) {\displaystyle p(z)} and q ( z ) {\displaystyle q(z)} are
Julia_set
Class of periodic mathematical functions
z + ω 1 ) = f ( z ) and f ( z + ω 2 ) = f ( z ) , ∀ z ∈ C . {\displaystyle f(z+\omega _{1})=f(z){\text{ and }}f(z+\omega _{2})=f(z),\quad \forall z\in
Elliptic_function
Z FUNCTION
Z FUNCTION
Biblical
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Surname or Lastname
English
English : unexplained.Italian (Venice and Mantua) and Greek (Zanes) : from a variant of the Venetian personal name Z(u)an(n)i ‘John’ (see Zani).Americanized spelling of German and Jewish Zahn.Robert Zane was a cloth maker of English origin, a founding member of the Quaker colony that was set up at Salem, NJ, in 1676.
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Female
Spanish
Spanish form of English Agnes, INÉZ means "chaste; holy."
Surname or Lastname
English
English : generally said to be from Anglo-Norman French fi(t)z ‘son’, used originally to distinguish a son from a father bearing the same personal name.It could also be a habitational name from a place in Shropshire called Fitz, recorded in 1194 as Fittesho, from an Old English personal name, Fitt, + hÅh ‘hill spur’.In one family at least, it is an altered form of English Fitch.German : unexplained. Possibly from a vernacular pet form of the personal name Vincent.Johann Peter Fitz, an immigrant from Germany, arrived in Philadelphia in 1750. Bearers of the name from Britain were already established in North America before that date.
Male
Egyptian
, a great functionary.
Male
Hungarian
Hungarian form of Latin Anastasius, ANASZT�Z means "resurrection."
Female
Hungarian
Feminine form of Hungarian Anasztáz, ANASZTÃZIA means "resurrection."
Male
Egyptian
, a high Egyptian functionary.
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
Male
Egyptian
, Functionary of the Interior.
Male
Egyptian
, an Egyptian functionary.
Male
Celtic
, great justiciary, or functionary.
Female
Hungarian
Short form of Hungarian Terézia, TERÉZ means "harvester."
Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
Male
Egyptian
, an Egyptian functionary.
Surname or Lastname
English (chiefly Kent and Sussex)
English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Surname or Lastname
German and Jewish (Ashkenazic)
German and Jewish (Ashkenazic) : nickname for a big man, from Middle High German grÅz ‘large’, ‘thick’, ‘corpulent’, German gross. The Jewish name has been Hebraicized as Gadol, from Hebrew gadol ‘large’.English : nickname for a big man, from Middle English, Old French gros (Late Latin grossus, of Germanic origin, thus etymologically the same word as in 1 above). The English vocabulary word did not develop the sense ‘excessively fat’ until the 16th century.
Surname or Lastname
English
English : topographic name for someone who lived in a ‘new house’, from Middle English newe + hous, or a habitational name from any of various minor places named with these elements, for example in Cheshire and West Yorkshire. Newsham in Lincolnshire was often Neuhouse in the medieval period, the modern form in -ham representing an alternative from Old English dative plural -um.Translation of Scandinavian Nyhus, German and Ashkenazic Jewish Neuhaus (topographic or habitational names), or Hungarian Újházi, a habitational name for someone from any of various places named with új ‘new’ + ház ‘house’.
Z FUNCTION
Z FUNCTION
Boy/Male
Indian
Joyful; Against
Boy/Male
Arabic
Handsame
Boy/Male
Tamil
Krushansh | கரஷாஂஷ
Surname or Lastname
English
English : variant of Stewart.
Boy/Male
Muslim
Eloquent by grace of Rahman
Boy/Male
Indian
Hope, Expectation, Wish, Desire, Trust, Greed
Boy/Male
Muslim/Islamic
Best Friend
Girl/Female
Hindu
One who save the world
Girl/Female
Hindu, Indian, Modern
Beauty of Goddess Saraswati
Girl/Female
American, Australian, British, Chinese, Christian, English
From the Hay Meadow; Field of Hay; Usually a Surname
Z FUNCTION
Z FUNCTION
Z FUNCTION
Z FUNCTION
Z FUNCTION
a.
Making a hissing sound; uttered with a hissing sound; hissing; as, s, z, sh, and zh, are sibilant elementary sounds.
a.
Formed into, or characterized by, voice; vocalized; -- said of all the vowels and the semivowels, also of the vocal or sonant consonants g, d, b, l, r, v, z, etc.
n.
The sweet and edible drupes (fruits) of several Mediterranean and African species of small trees, of the genus Zizyphus, especially the Z. jujuba, Z. vulgaris, Z. mucronata, and Z. Lotus. The last named is thought to have furnished the lotus of the ancient Libyan Lotophagi, or lotus eaters.
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.
A quantity consisting of three terms, connected by the sign + or -; as, x + y + z, or ax + 2b - c2.
a.
Produced by the friction or rustling of the breath, intonated or unintonated, through a narrow opening between two of the mouth organs; uttered through a close approach, but not with a complete closure, of the organs of articulation, and hence capable of being continued or prolonged; -- said of certain consonantal sounds, as f, v, s, z, etc.
n.
A European fish (Zoarces viviparus), remarkable for producing living young; -- called also greenbone, guffer, bard, and Maroona eel. Also, an American species (Z. anguillaris), -- called also mutton fish, and, erroneously, congo eel, ling, and lamper eel. Both are edible, but of little value.
n.
A Greek letter corresponding to our z.
a.
Destitute of function, or of an appropriate organ. Darwin.
n.
A plant of the genus Zingiber, of the East and West Indies. The species most known is Z. officinale.
n.
The letter Z; -- called also zee, and formerly izzard.
n.
Same as Wiver. X () X, the twenty-fourth letter of the English alphabet, has three sounds; a compound nonvocal sound (that of ks), as in wax; a compound vocal sound (that of gz), as in example; and, at the beginning of a word, a simple vocal sound (that of z), as in xanthic. See Guide to Pronunciation, // 217, 270, 271.
v. i.
To pronounce the sibilant letter s imperfectly; to give s and z the sound of th; -- a defect common among children.
n.
A plant of the genus Ziziphus (Z. lotus); -- so called by the Arabs of Barbary, who use its berries for food. See Lotus (b).
superl.
Belonging to the class of sonant elements as distinguished from the surd, and considered as involving less force in utterance; as, b, d, g, z, v, etc., in contrast with p, t, k, s, f, etc.
n.
A large species of American grass of the genus Zea (Z. Mays), widely cultivated as a forage and food plant; Indian corn. Also, its seed, growing on cobs, and used as food for men animals.
n.
One of several prickly or thorny shrubs found in Palestine, especially the Paliurus aculeatus, Zizyphus Spina-Christi, and Z. vulgaris. The last bears the fruit called jujube, and may be considered to have been the most readily obtainable for the Crown of Thorns.
n.
Any one of several species of small Old World singing of the genus Zosterops, as Zosterops palpebrosus of India, and Z. c/rulescens of Australia. The eyes are encircled by a ring of white feathers, whence the name. Called also bush creeper, and white-eyed tit.
n.
Same as Z/rthe.
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.