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The zeta function of a mathematical operator O {\displaystyle {\mathcal {O}}} is a function defined as ζ O ( s ) = tr O − s {\displaystyle \zeta _{\mathcal
Zeta_function_(operator)
zeta function is (usually) a function analogous to the original example, the Riemann zeta function ζ ( s ) = ∑ n = 1 ∞ 1 n s . {\displaystyle \zeta (s)=\sum
List_of_zeta_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
Summability method in physics
In mathematics and theoretical physics, zeta function regularization is a type of regularization or summability method that assigns finite values to divergent
Zeta_function_regularization
mathematics, the Ihara zeta function is a zeta function associated with a finite graph. It closely resembles the Selberg zeta function, and is used to relate
Ihara_zeta_function
The Selberg zeta-function was introduced by Atle Selberg (1956). It is analogous to the famous Riemann zeta function ζ ( s ) = ∏ p ∈ P 1 1 − p − s {\displaystyle
Selberg_zeta_function
Mathematical conjecture about the Riemann zeta function
that the non-trivial zeros of the Riemann zeta function correspond to eigenvalues of a self-adjoint operator. It is a possible approach to the Riemann
Hilbert–Pólya_conjecture
Conjecture on zeros of the zeta function
Unsolved problem in mathematics Do all non-trivial zeros of the Riemann zeta function have a real part equal to one half? More unsolved problems in mathematics
Riemann_hypothesis
Special function in mathematics
In mathematics, the Hurwitz zeta function is one of the many zeta functions. It is formally defined for complex variables s with Re(s) > 1 and a ≠ 0,
Hurwitz_zeta_function
Identity obeyed by many special functions related to the gamma function
{\displaystyle k^{s}\zeta (s)=\sum _{n=1}^{k}\zeta \left(s,{\frac {n}{k}}\right),} where ζ ( s ) {\displaystyle \zeta (s)} is the Riemann zeta function. This is a
Multiplication_theorem
The Minakshisundaram–Pleijel zeta function is a zeta function encoding the eigenvalues of the Laplacian of a compact Riemannian manifold. It was introduced
Minakshisundaram–Pleijel zeta function
Minakshisundaram–Pleijel_zeta_function
Mathematical concept
{\displaystyle \zeta (\star )} is the Riemann zeta function. The eigenvalues form a discrete spectrum, when the operator is limited to act on functions on the
Gauss–Kuzmin–Wirsing_operator
Exterior algebraic map taking tensors from p forms to n-p forms
realized as the codifferential opposite to the gradient operator, and the Laplace operator on a function is the divergence of its gradient. An important application
Hodge_star_operator
the Artin–Mazur zeta function, named after Michael Artin and Barry Mazur, is a function that is used for studying the iterated functions that occur in dynamical
Artin–Mazur_zeta_function
Special function of two variables
the function by a factor of ζ ( 2 s ) {\displaystyle \zeta (2s)} , where ζ {\displaystyle \zeta } is the Riemann zeta function. Viewed as a function of
Real analytic Eisenstein series
Real_analytic_Eisenstein_series
Mathematical concept
sums over prime powers, introduced by Riemann (1859) for the Riemann zeta function. Such explicit formulae have been applied also to questions on bounding
Explicit formulae for L-functions
Explicit_formulae_for_L-functions
Ruelle zeta function is a zeta function associated with a dynamical system. It is named after mathematical physicist David Ruelle. Let f be a function defined
Ruelle_zeta_function
Correlators of field operators
function (or Green function) is sometimes used interchangeably with correlation function, but refers specifically to correlators of field operators or
Green's function (many-body theory)
Green's_function_(many-body_theory)
Operator encoding information about iterated map
Bernoulli polynomials. This operator also has a continuous spectrum consisting of the Hurwitz zeta function. The transfer operator of the Gauss map h ( x )
Transfer_operator
Multiplicative function in number theory
partition function is the Riemann zeta function. This idea underlies Alain Connes's attempted proof of the Riemann hypothesis. The Möbius function is multiplicative
Möbius_function
Polynomial sequence
Riemann zeta function and the Hurwitz zeta function. They are an Appell sequence (i.e. a Sheffer sequence for the ordinary derivative operator). For the
Bernoulli_polynomials
Mathematical conjecture
Montgomery (1973) that the pair correlation between pairs of zeros of the Riemann zeta function (normalized to have unit average spacing) is 1 − ( sin ( π u ) π u
Montgomery's pair correlation conjecture
Montgomery's_pair_correlation_conjecture
Branch of functional analysis
holomorphic functions. That is to say, given a holomorphic function f of a complex argument z and an operator T, the aim is to construct an operator, f(T),
Holomorphic functional calculus
Holomorphic_functional_calculus
original function as the difference between the boundary values of holomorphic functions on the region and its complement. Singular integral operators have
Singular integral operators on closed curves
Singular_integral_operators_on_closed_curves
Determinant in functional analysis
mathematically rigorous definition is via the zeta function of the operator, ζ S ( a ) = tr S − a , {\displaystyle \zeta _{S}(a)=\operatorname {tr} \,S^{-a}\,
Functional_determinant
Divergent series
the zeta function, and real-variable analytic continuation, retrieved January 30, 2014. Lepowsky, J. (1999). "Vertex operator algebras and the zeta function"
1_+_2_+_3_+_4_+_⋯
Mathematical function
-\sum _{k=1}^{\infty }(-1)^{k}\,\zeta (k+1)\,z^{k},} which converges for |z| < 1. Here, ζ(n) is the Riemann zeta function. This series is easily derived
Digamma_function
Borel) is the operator B : z − 1 C [ [ z − 1 ] ] → C [ [ ζ ] ] {\displaystyle {\mathcal {B}}:z^{-1}\mathbb {C} [[z^{-1}]]\to \mathbb {C} [[\zeta ]]} defined
Resurgent_function
Generalized function whose value is zero everywhere except at zero
{1}{2\pi i}}\oint _{\partial D}{\frac {f(\zeta )\,d\zeta }{\zeta -z}},\quad z\in D} for all holomorphic functions f in D that are continuous on the closure
Dirac_delta_function
Associative algebra used in combinatorics
of the zeta function is the Möbius function μ(a, b); every value of μ(a, b) is an integral multiple of 1 in the base ring. The Möbius function can also
Incidence_algebra
Type of mathematical functions
{\displaystyle \displaystyle f(z)=\int _{\partial D}f(\zeta )\omega (\zeta ,z).} Holomorphic functions of several complex variables satisfy an identity theorem
Function of several complex variables
Function_of_several_complex_variables
Model of the extended complex plane plus a point at infinity
_{\zeta {\overline {\zeta }}}\,d\zeta \,d{\overline {\zeta }}={\frac {4}{\left(1+\zeta {\overline {\zeta }}\right)^{2}}}\,d\zeta \,d{\overline {\zeta }}=\left({\frac
Riemann_sphere
Type of continuous linear operator
is an operator of the form ( K f ) ( x ) = ∫ a b k ( x , y ) f ( y ) d y , {\displaystyle (Kf)(x)=\int _{a}^{b}k(x,y)f(y)\,dy,} where the function k {\displaystyle
Compact_operator
Topics referred to by the same term
commune in the Charente department in southwestern France Ruelle operator Ruelle zeta function Ruelle-Perron-Frobenius theorem Ruel (disambiguation) This disambiguation
Ruelle
symbols for these operators are, up to a sign, 1 2 ( 1 ± i ζ ‖ ζ ‖ ) . {\displaystyle {\frac {1}{2}}\left(1\pm i{\frac {\zeta }{\|\zeta \|}}\right).} These
Clifford_analysis
Mathematical concept
integrals, interpolation theory and the Hardy–Littlewood maximal function. For more general operators, fundamental new techniques, introduced by Alberto Calderón
Singular integral operators of convolution type
Singular_integral_operators_of_convolution_type
special function eponyms in mathematics, to cover the theory of special functions, the differential equations they satisfy, named differential operators of
List of eponyms of special functions
List_of_eponyms_of_special_functions
Engineering statistic in ship design
ship design and design of other floating structures, a response amplitude operator (RAO) is an engineering statistic, or set of such statistics, that are
Response_amplitude_operator
Mathematical theorem
Laplacian differential operator and its powers. The traces of powers of a Laplacian can be used to define the Selberg zeta function. The interest in this
Selberg_trace_formula
Metric on a determinant line bundle
{\displaystyle \Pi \lambda =\exp(-\zeta '(0))} where ζ ( s ) {\displaystyle \zeta (s)} is the zeta function operator of the Laplacian D t ∗ D t {\displaystyle
Quillen_metric
Type of shift space studied in ergodic theory
Artin–Mazur zeta function is defined as the formal power series ζ ( z ) = exp ( ∑ n = 1 ∞ | Fix ( T n ) | z n n ) , {\displaystyle \zeta (z)=\exp \left(\sum
Subshift_of_finite_type
Set of functions used to represent the electronic wave function
functions def2-TZVPPD – Valence triple-zeta with two sets of polarization functions and a set of diffuse functions def2-QZVP – Valence quadruple-zeta
Basis_set_(chemistry)
Provides integral formulas for all derivatives of a holomorphic function
z_{n})}{(z_{1}-\zeta _{1})\cdots (z_{n}-\zeta _{n})}}\,dz_{1}\cdots dz_{n}} where ζ = ( ζ 1 , … , ζ n ) ∈ D {\displaystyle \zeta =(\zeta _{1},\ldots ,\zeta _{n})\in
Cauchy's_integral_formula
Generating function in integrable systems
by linear operators satisfying isospectral deformation equations of Lax type. The second is isomonodromic τ {\displaystyle \tau } -functions. Depending
Tau function (integrable systems)
Tau_function_(integrable_systems)
Mexican criminal syndicate
Los Zetas (pronounced [los ˈsetas], Spanish for "The Zs") is a fractured Mexican criminal syndicate and designated terrorist organization, known as one
Los_Zetas
Mathematical theorem about functions
}\cos(2\pi (x-y)\cdot \xi )\,f(y)\,dy\,d\xi .} For any function g {\displaystyle g} define the flip operator R {\displaystyle R} by R g ( x ) := g ( − x ) .
Fourier_inversion_theorem
Mathematical theory of integral equations
the function f is given and g is unknown. Here, L stands for a linear differential operator. For example, one might take L to be an elliptic operator, such
Fredholm_theory
Inverse of a finite difference
generating functions implying validity for only integer a {\displaystyle a} ), ζ ( s , a ) {\displaystyle \zeta (s,a)} is the Hurwitz zeta function, and ψ
Indefinite_sum
{\displaystyle X_{0}=x_{0}} up to the life time ζ {\displaystyle \zeta } , if for every test function f ∈ C c ∞ ( M ) {\displaystyle f\in C_{c}^{\infty }(M)} the
Stochastic analysis on manifolds
Stochastic_analysis_on_manifolds
36 mathematical problems stated in 1955
1 ) / L C ( s ) {\displaystyle \zeta _{C}(s)=\zeta _{k}(s)\zeta _{k}(s-1)/L_{C}(s)} is the zeta function of C {\displaystyle C} over k {\displaystyle k}
Taniyama's_problems
Type of quantum state
{\displaystyle D(\alpha )} is the displacement operator and S ( ζ ) {\displaystyle S(\zeta )} is the squeeze operator, given by D ^ ( α ) = exp ( α a ^ † −
Squeezed_coherent_state
Mathematical functions
replaced by the Dirichlet eta function η ( k ) := ( 1 − 2 1 − k ) ζ ( k ) {\displaystyle \eta (k):=\left(1-2^{1-k}\right)\zeta (k)} , those have the closed
Mittag-Leffler_polynomials
Function in thermodynamics and statistical physics
principle, the total partition function must be divided by a N! (N factorial): Z = ζ N N ! . {\displaystyle Z={\frac {\zeta ^{N}}{N!}}.} This is to ensure
Partition function (statistical mechanics)
Partition_function_(statistical_mechanics)
Swedish mathematician (1913–1989)
Minakshisundaram–Pleijel zeta function was introduced. Minakshisundaram, S.; Pleijel, Å. (1949), "Some properties of the eigenfunctions of the Laplace-operator on Riemannian
Åke_Pleijel
Function used in quantum chemistry
r}\right)R(r)=\left[(n-1)r-\zeta r^{2}\right]R(r)} The total Laplace operator yields after applying the second differential operator ∇ 2 R ( r ) = ( 1 r 2 ∂
Slater-type_orbital
Matrix used in complex analysis
In complex analysis and geometric function theory, the Grunsky matrices, or Grunsky operators, are infinite matrices introduced in 1939 by Helmut Grunsky
Grunsky_matrix
Non-self-adjoint compact operator used to solve boundary value problems for the Laplacian
Neumann–Poincaré operator or Poincaré–Neumann operator, named after Carl Neumann and Henri Poincaré, is a non-self-adjoint compact operator introduced by
Neumann–Poincaré_operator
functional analysis and operator theory, a Bergman space, named after Stefan Bergman, is a function space of holomorphic functions in a domain D of the complex
Bergman_space
Nearest integers from a number
Zeta-function (2nd ed.), Oxford: Oxford U. P., ISBN 0-19-853369-1 Wikimedia Commons has media related to Floor and ceiling functions. "Floor function"
Floor_and_ceiling_functions
Type of curve in geometry
College. Retrieved 2026-04-02. Terras, Audrey (2011). "Selberg zeta function". Zeta Functions of Graphs: A Stroll through the Garden. Cambridge: Cambridge
Prime_geodesic
Differential operator
eigenvalues. In practice both numbers are often infinite so are defined using zeta function regularization. It was introduced by Atiyah, Patodi, and Singer (1973
Eta_invariant
Symbols for constants, special functions
{\displaystyle \zeta } represents: the Riemann zeta function and other zeta functions in mathematics the damping ratio the value for the Zeta potential, i
Greek letters used in mathematics, science, and engineering
Greek_letters_used_in_mathematics,_science,_and_engineering
Function in statistics
\psi _{n}={\frac {1}{2\zeta ^{\nu }{\sqrt {2\pi }}}}(-1)^{n}\left[A_{n}(\nu -1)-\zeta A_{n}(\nu )\right]\phi _{n}.} The functions ϕ n {\displaystyle \phi
Marcum_Q-function
Mathematical theorem
{\displaystyle f(\zeta )=\int _{0}^{\infty }F(x)e^{ix\zeta }\,dx} for ζ {\displaystyle \zeta } in the upper half-plane is a holomorphic function. Moreover, by
Paley–Wiener_theorem
Simplified approach for understanding fluid motions in a rotating system
controls the stream function by a Laplace operator, ζ = ∇ 2 Ψ , {\displaystyle {\zeta ={\nabla ^{2}\Psi }},} (21) where ζ {\displaystyle \zeta } is the relative
Potential_vorticity
Theorem in number theory
relation expresses the local L-function of a modular curve at a prime p in terms of the eigenvalues of Hecke operators. It was introduced by Eichler (1954)
Eichler–Shimura congruence relation
Eichler–Shimura_congruence_relation
Mathematical operation
produce one of the fundamental formulas for the Riemann zeta function, ζ ( s ) {\displaystyle \zeta (s)} . Let f ( x ) = 1 e x − 1 {\displaystyle f(x)={\tfrac
Mellin_transform
Theorem on operator interpolation
really are the same operator, in the sense that they agree on the subspace (L1 ∩ L2) (Rd). Since the intersection contains simple functions, it is dense in
Riesz–Thorin_theorem
Polynomial related to differential operators
Malgrange–Ehrenpreis theorem states that every differential operator with constant coefficients has a Green's function. By taking Fourier transforms this follows from
Bernstein–Sato_polynomial
Concept in mathematics
ζ ) | 2 = p ( ζ ) p ( ζ ) ¯ , {\displaystyle w(\zeta )=|p(\zeta )|^{2}=p(\zeta ){\overline {p(\zeta )}},} for some polynomial p ( z ) = p 0 + p 1 z +
Trigonometric_polynomial
Model from mathematical physics
{1}{n^{s}}}=\zeta (s)} with s = E/kBT where kB is the Boltzmann constant and T is the absolute temperature. The divergence of the zeta function at s = 1 corresponds
Primon_gas
Wigner distribution function in physics as opposed to in signal processing
quantum density matrix in the map between real phase-space functions and Hermitian operators introduced by Hermann Weyl in 1927, in a context related to
Wigner quasiprobability distribution
Wigner_quasiprobability_distribution
Discrete analog of a derivative
difference operator, commonly denoted Δ {\displaystyle \Delta } (uppercase Delta), is the operator that maps a function f to the function Δ [ f ] {\displaystyle
Finite_difference
Type of vector space in math
is a function ηz ∈ L2,h(D) such that f ( z ) = ∫ D f ( ζ ) η z ( ζ ) ¯ d μ ( ζ ) {\displaystyle f(z)=\int _{D}f(\zeta ){\overline {\eta _{z}(\zeta )}}\
Hilbert_space
Differential equations involving stochastic processes
) t < ζ {\displaystyle (X_{t})_{t<\zeta }} up to life time ζ {\displaystyle \zeta } , s.t. for each test function f ∈ C c ∞ ( M ) {\displaystyle f\in
Stochastic differential equation
Stochastic_differential_equation
Programming language family
s-expressions, or parenthesized lists. A function call or syntactic form is written as a list with the function or operator's name first, and the arguments following;
Lisp_(programming_language)
Function studied by Ramanujan
In mathematics, the Ramanujan tau function, studied by Srinivasa Ramanujan, is the function τ : N → Z {\displaystyle \tau :\mathbb {N} \to \mathbb {Z}
Ramanujan_tau_function
Mathematical function with multiple real-number arguments
{\begin{aligned}&\zeta :\Xi \to \mathbb {R} ,\\&\zeta =\zeta (\xi _{1},\xi _{2},\ldots ,\xi _{m}),\end{aligned}}} is a function composition defined on X, in other terms
Function of several real variables
Function_of_several_real_variables
Association of one output to each input
complex 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)
Complex analysis theorem
{\displaystyle \phi (z)={\frac {1}{2\pi i}}\int _{C}{\frac {\varphi (\zeta )\,d\zeta }{\zeta -z}},} cannot be evaluated for any z {\displaystyle z} on the curve
Sokhotski–Plemelj_theorem
Collection of mathematical theories
{\displaystyle R_{\zeta }=\left(\zeta I-T\right)^{-1}.} Here I is the identity operator and ζ is a complex number. The inverse of an operator T, that is T−1
Spectral_theory
antidifferences) of various functions. An indefinite sum ∑ x f ( x ) {\textstyle \sum _{x}f(x)} is the inverse of the forward difference operator Δ {\displaystyle
List_of_indefinite_sums
Mathematical constant in number theory
that paper, a slightly non-standard definition is used for the Hurwitz zeta function. Weisstein, Eric W. "Khinchin's constant". MathWorld. Ryll-Nardzewski
Khinchin's_constant
Medieval principality in south-east Europe
Zeta (Serbian Cyrillic: Зета; Albanian: Zetës; Latin: Zenta or Genta) was one of the medieval polities that existed between 1371 and 1421, whose territory
Zeta_under_the_Balšići
Mathematical concept
1, the functions Pr(θ) form an approximate unit in the convolution algebra L1(T). As linear operators, they tend to the Dirac delta function pointwise
Poisson_kernel
)=\{\zeta ^{i},H(\zeta )\}|_{\zeta =\star q(\xi ,\tau )}.} The right-hand side is calculated like in the classical mechanics. The composite function is
Method of quantum characteristics
Method_of_quantum_characteristics
Operation on formal power series
other series for the zeta-function-related cases of the Legendre chi function, the polygamma function, and the Riemann zeta function include χ 1 ( z ) =
Generating function transformation
Generating_function_transformation
Commuting Lie algebra operator
theoretical physics, a central charge is an operator Z that commutes with all the other symmetry operators. The adjective "central" refers to the center
Central_charge
Objects extending the notion of functions
feature of some of the approaches is that they build on operator aspects of everyday, numerical functions. The early history is connected with some ideas on
Generalized_function
Topological invariant of manifolds that can distinguish homotopy-equivalent manifolds
there is a Laplacian operator acting on the k-forms with values in E. If the eigenvalues on k-forms are λj then the zeta function ζk is defined to be ζ
Analytic_torsion
finite fields Riemann theta function Riemann Xi function Riemann zeta function Riemann–Siegel formula Riemann–Siegel theta function Free Riemann gas also called
List of things named after Bernhard Riemann
List_of_things_named_after_Bernhard_Riemann
D) is p-summable, one may define its zeta function ζD(s) = Tr(|D|−s); more generally there are zeta functions ζb(s) = Tr(b|D|−s) for each element b in
Spectral_triple
Expression of a function as an infinite sum of simpler functions
Dirichlet series of the Riemann zeta function is ζ ( s ) := ∑ n = 1 ∞ 1 n s = 1 1 s + 1 2 s + ⋯ {\displaystyle \zeta (s):=\sum _{n=1}^{\infty }{\frac
Series_expansion
Formulation of classical mechanics
( p ) − L {\displaystyle R(q,\zeta ,p,{\dot {\zeta }},t)=p{\dot {q}}(p)-L} where again the velocity dq/dt is a function of the momentum p, we have d R
Routhian_mechanics
Result of repeatedly applying a mathematical function
Iterated functions can be studied with the Artin–Mazur zeta function and with transfer operators. In computer science, iterated functions occur as a
Iterated_function
multiplication theorem for the Hurwitz zeta function ζ ( s , a ) = ∑ n = 0 ∞ ( n + a ) − s {\displaystyle \zeta (s,a)=\sum _{n=0}^{\infty }(n+a)^{-s}}
Distribution_(number_theory)
Formal power series
(a_{n};s)\zeta (s)=\operatorname {DG} (b_{n};s),} where ζ(s) is the Riemann zeta function. The sequence ak generated by a Dirichlet series generating function (DGF)
Generating_function
Discrete (i.e., incremental) version of infinitesimal calculus
the difference quotient is a linear operator which takes a function as its input and produces a second function as its output. This is more abstract
Discrete_calculus
Number, approximately 3.14
{\displaystyle \zeta (s)=2^{s}\pi ^{s-1}\ \sin \left({\frac {\pi s}{2}}\right)\ \Gamma (1-s)\ \zeta (1-s).} Furthermore, the derivative of the zeta function satisfies
Pi
equation (L-function) Chebotarev's density theorem Local zeta function Weil conjectures Modular form modular group Congruence subgroup Hecke operator Cusp form
List_of_number_theory_topics
ZETA FUNCTION-OPERATOR
ZETA FUNCTION-OPERATOR
Female
Hebrew
(× Ö¶×˜Ö·×¢) Hebrew unisex name NETA means meaning "plant, shrub."
Male
French
French Provençal form of Latin Benedictus, BÉNÉZET means "blessed."Â
Female
German
Short form of German Margarete, META means "pearl."
Girl/Female
Muslim
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Female
Persian/Iranian
 Short form of Persian Zenana, ZENA means "woman." Compare with another form of Zena.
Girl/Female
Muslim
Pretty
Female
English
English name derived from the second letter of the Greek alphabet, beta, related to Hebrew bet, BETA means "house."Â
Female
Polish
Feminine form of Polish Józef, JÓZEFA means "(God) shall add (another son)."Â
Girl/Female
Indian
Love
Boy/Male
Indian
Friction
Female
Italian
 Variant spelling of Italian Zita, ZETA means "little girl." Compare with another form of Zeta.
Female
Greek
(ΖÎνα) Contracted form of Greek Zenia, ZENA means "stranger, foreigner," but sometimes rendered "hospitable (esp. to foreigners)."
Female
Spanish
 Short form of Spanish Aleta, LETA means "winged." Compare with another form of Leta.
Female
Italian
Italian name ZITA means "little girl."Â
Girl/Female
Greek American
Speaker.
Girl/Female
Bengali, Indian
Fraction of Time
Female
Native American
 Native American Blackfoot name PETA means "golden eagle." Compare with another form of Peta.
Girl/Female
Greek
Born last.
Biblical
watch-tower, associated with modern Zeita|Wadi Zeita
ZETA FUNCTION-OPERATOR
ZETA FUNCTION-OPERATOR
Female
Chinese
good and clever.
Girl/Female
Tamil
Female
Hindi/Indian
(अंकिता) Hindi name ANKITA means "marked."
Biblical
God is good
Boy/Male
Muslim
An effect, Impression
Girl/Female
Hindu, Indian
A Group of People
Girl/Female
Greek
God appears.
Boy/Male
German
Famous Fighter
Girl/Female
Hindu
Fiery
Girl/Female
Indian, Tamil
Sweet and Love
ZETA FUNCTION-OPERATOR
ZETA FUNCTION-OPERATOR
ZETA FUNCTION-OPERATOR
ZETA FUNCTION-OPERATOR
ZETA FUNCTION-OPERATOR
a.
Pertaining to, or connected with, a function or duty; official.
n.
A genus of large grasses of which the Indian corn (Zea Mays) is the only species known. Its origin is not yet ascertained. See Maize.
n.
The act of joining, or the state of being joined; union; combination; coalition; as, the junction of two armies or detachments; the junction of paths.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
The act of feigning, inventing, or imagining; as, by a mere fiction of the mind.
n.
The office, duties, or functions of a minister, servant, or agent; ecclesiastical, executive, or ambassadorial function or profession.
v. t.
To sell by auction.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
v. t.
The act of uniting, or the state of being united; junction.
v. t.
To separate by means of, or to subject to, fractional distillation or crystallization; to fractionate; -- frequently used with out; as, to fraction out a certain grade of oil from pretroleum.
n.
A Greek letter corresponding to our z.
n.
A derived function; a function obtained from a given function by a certain algebraic process.
v. t.
To supply with an organ or organs having a special function or functions.
pl.
of Seta
n.
The act of anointing, or the state of being anointed; unction; specifically (Med.), the rubbing of ointments into the pores of the skin, by which medicinal agents contained in them, such as mercury, iodide of potash, etc., are absorbed.
n.
The things sold by auction or put up to auction.
n.
The place or point of union, meeting, or junction; specifically, the place where two or more lines of railway meet or cross.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
v. t.
To give sanction to; to ratify; to confirm; to approve.
n.
The act of anointing, smearing, or rubbing with an unguent, oil, or ointment, especially for medical purposes, or as a symbol of consecration; as, mercurial unction.