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Type of complex function
mathematical analysis, a Hermitian function is a complex function with the property that its complex conjugate is equal to the original function with the variable
Hermitian_function
Polynomial sequence
orthogonal polynomial sequence. The polynomials arise in: signal processing as Hermitian wavelets for wavelet transform analysis probability, such as the Edgeworth
Hermite_polynomials
Functions such that f(–x) equals f(x) or –f(x)
an anti-palindromic sequence; see also Antipalindromic polynomial. Hermitian function for a generalization in complex numbers Taylor series Fourier series
Even_and_odd_functions
Matrix equal to its conjugate-transpose
In mathematics, a Hermitian matrix (or self-adjoint matrix) is a square matrix with complex-valued entries that is equal to its own conjugate transpose
Hermitian_matrix
Covariance and correlation
f} is a Hermitian function, then f ⋆ g = f ∗ g . {\displaystyle f\star g=f*g.} If both f {\displaystyle f} and g {\displaystyle g} are Hermitian, then f
Cross-correlation
Conjugate transpose of an operator in infinite dimensions
linear operator A {\displaystyle A} on an inner product space defines a Hermitian adjoint (or adjoint) operator A ∗ {\displaystyle A^{*}} on that space
Hermitian_adjoint
conditions Hermitian form, a specific sesquilinear form Hermitian function, a complex function whose complex conjugate is equal to the original function with
List of things named after Charles Hermite
List_of_things_named_after_Charles_Hermite
Correlation of a signal with a time-shifted copy of itself, as a function of shift
a Hermitian function R f f ( − τ ) = R f f ∗ ( τ ) {\displaystyle R_{ff}(-\tau )=R_{ff}^{*}(\tau )} when f {\displaystyle f} is a complex function. The
Autocorrelation
Family of solutions to related differential equations
when working with Fourier transforms. Because Bessel's equation becomes Hermitian (self-adjoint) if it is divided by x, the solutions must satisfy an orthogonality
Bessel_function
Mathematical linear code
this means that Hermitian codes are long relative to the alphabet they are defined over. The Riemann–Roch space of the Hermitian function field is given
Algebraic_geometry_code
Mathematical transform that expresses a function of time as a function of frequency
f ^ {\displaystyle {\widehat {f}}} is conjugate symmetric (a.k.a. Hermitian function): f ^ ( − ξ ) = ( f ^ ( ξ ) ) ∗ . {\displaystyle {\widehat {f}}(-\xi
Fourier_transform
Fundamental operation on complex numbers
(square roots) – Change of the sign of a square root Hermitian function – Type of complex function Wirtinger derivatives – Concept in complex analysis
Complex_conjugate
Mathematical description of quantum state
system, such as position, momentum, or spin, is represented by a linear Hermitian operator on the state space. The possible outcomes of measurement of the
Wave_function
Mathematical conjecture
Dyson pointed out to him, is the same as the pair correlation function of random Hermitian matrices. Under the assumption that the Riemann hypothesis is
Montgomery's pair correlation conjecture
Montgomery's_pair_correlation_conjecture
Property of a mathematical matrix
vector transpose of x . {\displaystyle \mathbf {x} .} More generally, a Hermitian matrix (that is, a complex matrix equal to its conjugate transpose) is
Definite_matrix
Result about when a matrix can be diagonalized
matrices. A finite-dimensional Hermitian vector space V {\displaystyle V} may be coordinatized as the space of functions f : B → C {\displaystyle f:B\to
Spectral_theorem
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
Function that is its own inverse
In mathematics, an involution, involutory function, or self-inverse function is a function f that is its own inverse, f(f(x)) = x for all x in the domain
Involution_(mathematics)
Notation for quantum states
and vice versa. The Hermitian conjugate of a complex number is its complex conjugate. The Hermitian conjugate of the Hermitian conjugate of anything
Bra–ket_notation
Concept in physics
non-Hermitian quantum mechanics describes quantum mechanical systems where Hamiltonians are not Hermitian. The first paper that has "non-Hermitian quantum
Non-Hermitian quantum mechanics
Non-Hermitian_quantum_mechanics
mathematics and theoretical physics, and especially gauge theory, the deformed Hermitian Yang–Mills (dHYM) equation is a differential equation describing the equations
Deformed Hermitian Yang–Mills equation
Deformed_Hermitian_Yang–Mills_equation
Fourier transform of the probability density function
φ(0) = 1. It is bounded: |φ(t)| ≤ 1. It is Hermitian: φ(−t) = φ(t). In particular, the characteristic function of a symmetric (around the origin) random
Characteristic function (probability theory)
Characteristic_function_(probability_theory)
Bimodal function
definition, a positive semi-definite matrix, such as A {\displaystyle A} , is Hermitian; therefore f(−x) is the complex conjugate of f(x)). In particular, it
Positive-definite_function
class functions, by the Peter–Weyl theorem. When K is the real numbers or the complex numbers, the inner product is a non-degenerate Hermitian bilinear
Class_function
Mathematical function of a linear operator
are Hermitian. Suppose the linear operator D acts on a function space that is a Hilbert space with an orthonormal basis given by the set of functions {u1(t)
Eigenfunction
Matrix-valued random variable
of the Riemann zeta function. The joint probability density of the eigenvalues of n × n {\displaystyle n\times n} random Hermitian matrices M ∈ H n × n
Random_matrix
Partial order on matrices
monotone and concave/convex scalar functions to monotone and concave/convex Hermitian valued functions. These functions arise naturally in matrix and operator
Loewner_order
Function that maps matrices to matrices
definite), some of the classes of scalar functions can be extended to matrix functions of Hermitian matrices. A function f is called operator monotone if and
Analytic_function_of_a_matrix
Most widely known generalized inverse of a matrix
AA^{+}} is Hermitian: ( A A + ) ∗ = A A + . {\displaystyle \left(AA^{+}\right)^{*}=\;AA^{+}.} A + A {\displaystyle A^{+}A} is also Hermitian: ( A + A
Moore–Penrose_inverse
Family of continuous wavelets
Hermitian wavelets are a family of discrete and continuous wavelets used in the constant and discrete Hermite wavelet transforms. The n th {\displaystyle
Hermitian_wavelet
Manifold with inversion symmetry
mathematics, a Hermitian symmetric space is a Hermitian manifold which at every point has an inversion symmetry preserving the Hermitian structure. First
Hermitian_symmetric_space
Linear operator equal to its own adjoint
equivalent to the condition that the matrix of A {\displaystyle A} is a Hermitian matrix, i.e., equal to its conjugate transpose A ∗ {\displaystyle A^{*}}
Self-adjoint_operator
Construct for Hermitian matrices
In mathematics, the Rayleigh quotient (/ˈreɪ.li/) for a given complex Hermitian matrix M {\displaystyle M} and nonzero vector x {\displaystyle x} is defined
Rayleigh_quotient
Matrix decomposition
are simply f (λi), for any holomorphic function f and any A for which f (A) is well-defined. If A is a Hermitian matrix and has full-rank, then the basis
Eigendecomposition of a matrix
Eigendecomposition_of_a_matrix
Correlators of field operators
many-body theory, the term Green's function (or Green function) is sometimes used interchangeably with correlation function, but refers specifically to correlators
Green's function (many-body theory)
Green's_function_(many-body_theory)
Property of a function
nonnegative Hermitian matrix, that is, if A , B ∈ Mat n ( C ) {\displaystyle A,B\in {\text{Mat}}_{n}(\mathbb {C} )} are nonnegative Hermitian then det (
Superadditivity
Conjecture on zeros of the zeta function
correlation functions of the (suitably normalized) zeros of the zeta function should be the same as those of the eigenvalues of a random hermitian matrix.
Riemann_hypothesis
Numerical methods for matrix eigenvalue calculation
commutes with its adjoint: A*A = AA*. It is called Hermitian if it is equal to its adjoint: A* = A. All Hermitian matrices are normal. If A has only real elements
Eigenvalue_algorithm
Matrices important in quantum mechanics and the study of spin
2 × 2 {\displaystyle 2\times 2} complex matrices that are traceless, Hermitian, involutory and unitary. They are usually denoted by the Greek letter
Pauli_matrices
Euclidean Wightman distributions
Euclidean correlation functions. Here we describe Osterwalder–Schrader (OS) axioms for a Euclidean quantum field theory of a Hermitian scalar field ϕ ( x
Schwinger_function
Mathematical conjecture about the Riemann zeta function
the distribution of the zeros of the Riemann zeta function and the eigenvalues of a random Hermitian matrix drawn from the Gaussian unitary ensemble, and
Hilbert–Pólya_conjecture
Matrix operation generalizing exponentiation of scalar numbers
skew-symmetric then eX is orthogonal. If X is Hermitian then eX is also Hermitian. If X is skew-Hermitian then eX is unitary. Finally, a Laplace transform
Matrix_exponential
Matrix decomposition method
factorization (pronounced /ʃəˈlɛski/ shə-LES-kee) is a decomposition of a Hermitian, positive-definite matrix into the product of a lower triangular matrix
Cholesky_decomposition
Conjecture in algebraic geometry
} as Λ tends to infinity, where Λ and Χ are positive definite N by N hermitian matrices, and ti is given by t i = − tr Λ − 1 − 2 i 1 × 3 × 5 × ⋯ × (
Witten_conjecture
Generalization of a positive-definite matrix
abstract set, he calls functions K ( x , y ) {\displaystyle K(x,y)} defined on E × E {\displaystyle E\times E} “positive Hermitian matrices” if they satisfy
Positive-definite_kernel
Type of function in complex analysis
C^{2}} , then f {\displaystyle f} is plurisubharmonic if and only if the hermitian matrix L f = ( λ i j ) {\displaystyle L_{f}=(\lambda _{ij})} , called
Plurisubharmonic_function
Complex vector bundle on a complex manifold
non-vanishing holomorphic functions. Let E be a holomorphic vector bundle on a complex manifold M and suppose there is a hermitian metric on E; that is, fibers
Holomorphic_vector_bundle
Method used in statistics, pattern recognition, and other fields
scalar and transpose to each other ( Σ i {\displaystyle \Sigma _{i}} is Hermitian) and the above decision criterion becomes a threshold on the dot product
Linear_discriminant_analysis
monotone if whenever A {\displaystyle A} and B {\displaystyle B} are Hermitian matrices (of any size/dimensions) whose eigenvalues all belong to the
Operator_monotone_function
Wavelet proportional to the second derivative of a Gaussian
continuous wavelets (wavelets used in a continuous wavelet transform) known as Hermitian wavelets. The Ricker wavelet is frequently employed to model seismic data
Ricker_wavelet
Theorem in functional analysis
result that gives a variational characterization of eigenvalues of compact Hermitian operators on Hilbert spaces. It can be viewed as the starting point of
Min-max_theorem
In physics, solution to Schrödinger equation
eigenstates of the same hermitian operator (the hamiltonian) with different eigenvalues. Bateman, Harry (1953), Higher transcendental functions (PDF), vol. 1,
Coulomb_wave_function
Basic circuit in quantum computing
} ) denotes the conjugate transpose. It is also called the Hermitian adjoint. If a function F {\displaystyle F} is a product of m {\displaystyle m} gates
Quantum_logic_gate
Numerical linear algebra algorithm
≈ U * diagm(λ) * U' The Jacobi Method has been generalized to complex Hermitian matrices, general nonsymmetric real and complex matrices as well as block
Jacobi_eigenvalue_algorithm
Wigner distribution function in physics as opposed to in signal processing
the quantum density matrix in the map between real phase-space functions and Hermitian operators introduced by Hermann Weyl in 1927, in a context related
Wigner quasiprobability distribution
Wigner_quasiprobability_distribution
System of complete and orthogonal polynomials
1 {\displaystyle x=\pm 1} , the differential operator on the left is Hermitian. The eigenvalues are found to be of the form n(n + 1), with n = 0 , 1
Legendre_polynomials
Set of values that describe the polarization state of electromagnetic radiation
correspondence with the closed, convex, 4-real-dimensional cone of nonnegative Hermitian operators on the Hilbert space C2. The parameter I serves as the trace
Stokes_parameters
Type of mathematical functions
-function u is plurisubharmonic if and only if i ∂ ∂ ¯ u {\displaystyle i\partial {\bar {\partial }}u} is a positive (1,1)-form. When the hermitian matrix
Function of several complex variables
Function_of_several_complex_variables
Brazilian mathematician
towers of function fields over finite fields On subfields of the Hermitian function field On maximal curves "IMPA - Instituto Nacional de Matemática Pura
Arnaldo_Garcia
Kind of complex manifold
bundle L → X {\displaystyle L\to X} . Moreover, there is an associated Hermitian form H : V × V → C {\displaystyle H:V\times V\to \mathbb {C} } satisfying
Complex_torus
Description of a quantum-mechanical system
first order, its derivative is Hermitian. The Schrödinger equation is often presented using quantities varying as functions of position, but as a vector-operator
Schrödinger_equation
Function acting on the space of physical states in physics
result of the experiment. Mathematically this means the operators must be Hermitian. The probability of each eigenvalue is related to the projection of the
Operator_(physics)
Manifold with Riemannian, complex and symplectic structure
Kähler manifolds, for example the existence of special connections such as Hermitian Yang–Mills connections, or special metrics such as Kähler–Einstein metrics
Kähler_manifold
Conjecture in the representation theory of Lie groups
is ε {\displaystyle \varepsilon } -Hermitian (i.e. ε = 1 {\displaystyle \varepsilon =1} if the form is Hermitian and ε = − 1 {\displaystyle \varepsilon
Gan–Gross–Prasad_conjecture
and real The Hermitian part (Z(s) + Z†(s))/2 of Z(s) is positive semi-definite when Re[s] ≥ 0 By definition, for a given rational function Z ( s ) {\displaystyle
Positive-real_function
Vector space with generalized dot product
obtains the definition of positive semi-definite Hermitian form. A positive semi-definite Hermitian form ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot
Inner_product_space
Software library for numerical linear algebra
MATLAB". Mathworks Help Center. Retrieved 28 May 2022. "Low-level LAPACK functions". SciPy v1.8.1 Manual. Retrieved 28 May 2022. "Guides and Sample Code"
LAPACK
Concept in Hlibert spaces mathematics
matrices. Let H n {\displaystyle \mathbf {H} _{n}} denote the space of Hermitian n × n {\displaystyle n\times n} matrices, H n + {\displaystyle \mathbf
Trace_inequality
(v, w) in Cg × Cg; the associated hermitian form H(v, w)=αR(iv, w) + iαR(v, w) is positive-definite. (The hermitian form written here is linear in the
Riemann_form
Generalization of signum function to matrices
In mathematics, the matrix sign function is a matrix function on square matrices analogous to the complex sign function. It was introduced by J.D. Roberts
Matrix_sign_function
Singularities in the parameter space
Hamiltonian describing the system non-Hermitian. The losses in photonic systems, are a feature used to study non-Hermitian physics. Adding non-Hermiticity (such
Exceptional_point
Particular representation of a signal
the Fourier transform (or spectrum) of a real-valued function are superfluous, due to the Hermitian symmetry of such a spectrum. These negative frequency
Analytic_signal
Description of physical properties at the atomic and subatomic scale
position, momentum, energy, spin – are represented by observables, which are Hermitian (more precisely, self-adjoint) linear operators acting on the Hilbert
Quantum_mechanics
Construction for adding objects to a Hilbert space
H=H^{*}\subset \Phi ^{*}} . In the case of complex Hilbert spaces, we use a Hermitian inner product; it will be complex linear in u (math convention) or v (physics
Rigged_Hilbert_space
Gamma matrices for arbitrary Clifford algebras
context of the representations of the gamma group (where transposition and Hermitian conjugation literally correspond to those actions on matrices), and in
Higher-dimensional gamma matrices
Higher-dimensional_gamma_matrices
Mathematical operator in quantum optics
{\displaystyle {\hat {D}}^{\dagger }(\alpha )={\hat {D}}(-\alpha )} , the hermitian conjugate of the displacement operator can also be interpreted as a displacement
Displacement_operator
Group of unitary complex matrices with determinant of 1
identify the Lie algebra with the space of trace-zero Hermitian (rather than the skew-Hermitian) matrices. That is to say, the physicists' Lie algebra
Special_unitary_group
Topological vector spaces
properties are well known in functional analysis. For instance, the well-known Hermitian adjoint of a linear operator between Hilbert spaces is just the operator's
Spaces of test functions and distributions
Spaces_of_test_functions_and_distributions
Formulation of the quantum many-body problem
creation and annihilation operators are Hermitian conjugate to each other, but neither of them are Hermitian operators ( b α ≠ b α † {\displaystyle b_{\alpha
Second_quantization
Topics referred to by the same term
Normal operator, an operator that commutes with its Hermitian adjoint Normal order of an arithmetic function, a type of asymptotic behavior useful in number
Normal
Extension of the Schwarz lemma for hyperbolic geometry
Hermitian metric σ {\displaystyle \sigma } whose Gaussian curvature is ≤ −1; let f : U → S {\displaystyle f:U\rightarrow S} be a holomorphic function
Schwarz–Ahlfors–Pick_theorem
that any strictly positive, homogeneous Hermitian polynomial is a Hermitian sum-of-squares of rational functions whose denominator is the squared norm z
Positive_polynomial
Quantum explanation of electromagnetic polarization
such as state vectors, probability amplitudes, unitary operators, and Hermitian operators, emerge naturally from the classical Maxwell's equations in
Photon_polarization
Mathematical operation on matrices
vectorization is interchanged, the two operations can be linked linearly through a function that involves the commutation matrix, K q m {\displaystyle K_{qm}} . That
Kronecker_product
Mathematical entity to describe the probability of each possible measurement on a system
has the structure of a 2 × 2 {\displaystyle 2\times 2} matrix that is Hermitian and positive semi-definite, and has trace 1. A more complicated case is
Quantum_state
Interpretation of quantum mechanics
\right)}{(\psi ,\psi )}}(q)} , where ( v , w ) {\displaystyle (v,w)} is the local Hermitian inner product on the value space of the wavefunction. This formulation
De_Broglie–Bohm_theory
Probability distribution on complex matrices
distribution. It is the distribution of n {\displaystyle n} times the sample Hermitian covariance matrix of n {\displaystyle n} zero-mean independent Gaussian
Complex_Wishart_distribution
Numerical optimization process
( d ) {\textstyle n^{O(d)}} using the ellipsoid method. A Hermitian polynomial is a function of n {\displaystyle n} complex variables z 1 , … , z n {\displaystyle
Sum-of-squares_optimization
Mathematical concept
higher-dimensional analogue of a modular curve that arises as a quotient variety of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group
Shimura_variety
Non-tensorial representation of the spin group
the set H 2 {\displaystyle H_{2}} of 2 × 2 {\displaystyle 2\times 2} Hermitian matrices, with complex entries, whose traces are zero. Any such matrix
Spinor
Integral transform closely related to the Fourier transform
The Hartley transform is a real linear operator, and is symmetric (and Hermitian). From the symmetric and self-inverse properties, it follows that the
Hartley_transform
Algebraic operation on coordinate vectors
\right\|\left\|\mathbf {b} \right\|}}.} The complex dot product leads to the notions of Hermitian forms and general inner product spaces, which are widely used in mathematics
Dot_product
Matrix equal to its transpose
space. The corresponding object for a complex inner product space is a Hermitian matrix with complex-valued entries, which is equal to its conjugate transpose
Symmetric_matrix
Probability distribution
a random Hermitian matrix. The distribution is defined as a Fredholm determinant. In practical terms, Tracy–Widom is the crossover function between the
Tracy–Widom_distribution
Type of vector space in math
algebra. An element A of B(H) is called 'self-adjoint' or 'Hermitian' if A* = A. If A is Hermitian and ⟨Ax, x⟩ ≥ 0 for every x, then A is called positive
Hilbert_space
Stochastic process
× n {\textstyle A\in \mathbb {R} ^{n\times n}} Hermitian matrices, with probability density function ρ ( A ) ∝ e − 1 2 t r ( A 2 ) {\displaystyle \rho
Dyson_Brownian_motion
Quantum logic gate
{\pi }{4}}(I_{1}-Z_{1})(I_{2}-X_{2})}.} Being both unitary and Hermitian, CNOT has the property e i θ U = ( cos θ ) I + ( i sin θ ) U {\displaystyle
Controlled_NOT_gate
Manifold
Riemannian metric for complex manifolds, called a Hermitian metric. Like a Riemannian metric, a Hermitian metric consists of a smoothly varying, positive
Complex_manifold
Topics referred to by the same term
harmonics. Sylvester's criterion, a characterization of positive-definite Hermitian matrices. Sylvester’s inequality about the rank (linear algebra) of the
Sylvester's_theorem
Generating function in integrable systems
N\times N} complex Hermitian matrices. Let ρ ( M ) {\displaystyle \rho (M)} be a conjugation invariant integrable density function ρ ( U M U † ) = ρ (
Tau function (integrable systems)
Tau_function_(integrable_systems)
HERMITIAN FUNCTION
HERMITIAN FUNCTION
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.
Biblical
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Male
Celtic
, great justiciary, or functionary.
Male
Egyptian
, the son of the functionary Heknofre.
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.
Male
Egyptian
, a high Egyptian functionary.
Female
Spanish
Feminine form of Spanish Herminio, HERMINIA means "army man."
Male
Egyptian
, Functionary of the Interior.
Male
Egyptian
, an Egyptian functionary.
Girl/Female
Latin American
Feminine of Herman.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
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
, an Egyptian functionary.
Girl/Female
American, Australian, French, German, Greek, Latin, Portuguese
Messenger; Female Version of Herman; Soldier; Army-man
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.
Male
Egyptian
, a great functionary.
HERMITIAN FUNCTION
HERMITIAN FUNCTION
Girl/Female
Arabic, Muslim
The Wise
Girl/Female
Tamil
Greatest champion
Male
Native American
Native American Miwok name HOWI means "turtle-dove."
Boy/Male
Indian
Everywhere
Surname or Lastname
English
English : habitational name from either of two places called Hazleton in Gloucestershire, or from Hazelton Bottom in Hertfordshire, Hazelton Wood in Essex, or Hesselton in North Yorkshire. All are named from Old English hæsel ‘hazel’ + denu ‘valley’. (The first element of Hesselton may be influenced by Old Norse hesli.) It is possible that there are other minor places elsewhere of this name, in which the second element is Old English tūn ‘enclosure’, ‘settlement’. There has been considerable confusion of this name with Haselden.
Surname or Lastname
English
English : nickname from Middle English russet ‘reddish brown’, (from Old French rosset, diminutive of rous ‘red’, from Latin russus ‘red’). This may have been a nickname denoting hair coloring or complexion, but in Middle English russet denoted in particular a kind of coarse woolen cloth of a reddish brown or subdued color, typically worn by country people and the poor.
Surname or Lastname
English
English : from Old English cealc ‘chalk’, applied as a topographic name for someone who lived on a patch of chalk soil, or as a habitational name from any of the various places named with this word, as for example Chalk in Kent or Chalke in Wiltshire.
Boy/Male
British, English
Golden Friend
Girl/Female
Tamil
Body, Elder sister
Boy/Male
Tamil
HERMITIAN FUNCTION
HERMITIAN FUNCTION
HERMITIAN FUNCTION
HERMITIAN FUNCTION
HERMITIAN FUNCTION
a.
Destitute of function, or of an appropriate organ. Darwin.
pl.
of Functionary
n.
A certain function relating to a system of forces and their points of application, -- first used by Clausius in the investigation of problems in molecular physics.
prep.
Acting as a substitute; -- said of abnormal action which replaces a suppressed normal function; as, vicarious hemorrhage replacing menstruation.
a.
Of, pertaining to, or designating, certain secret tribunals which flourished in Germany from the end of the 12th century to the middle of the 16th, usurping many of the functions of the government which were too weak to maintain law and order, and inspiring dread in all who came within their jurisdiction.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
One deputed or authorized to perform the functions of another; a substitute in office; a deputy.
v. i.
Alt. of Functionate
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.
a.
Pertaining to, or suited for, a hermit.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
a.
Belonging or relating to life, either animal or vegetable; as, vital energies; vital functions; vital actions.
n.
Fig.: Any cavity, or hollow place, in which any function may be conceived of as operating.
a.
Pertaining to, or connected with, a function or duty; official.
v. i.
To execute or perform a function; to transact one's regular or appointed business.
a.
Of or pertaining to an eremite; hermitical; living in solitude.
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.
adv.
In a functional manner; as regards normal or appropriate activity.
v. t.
To assign to some function or office.
n.
The doctrine that all the functions of a living organism are due to an unknown vital principle distinct from all chemical and physical forces.