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Function that encodes the dependence of a coupling parameter on the energy scale
In theoretical physics, specifically quantum field theory, a beta function or Gell-Mann–Low function, β(g), encodes the dependence of a coupling parameter
Beta_function_(physics)
Topics referred to by the same term
to: Beta function (physics), details the running of the coupling strengths Dirichlet beta function, closely related to the Riemann zeta function Gödel's
Beta function (disambiguation)
Beta_function_(disambiguation)
The beta function in accelerator physics is a function related to the transverse size of the particle beam at the location s along the nominal beam trajectory
Beta function (accelerator physics)
Beta_function_(accelerator_physics)
Second letter of the Greek alphabet
predictor X. In statistics, beta may represent type II error, or regression slope. Dirichlet beta function Some uses of beta in physics and engineering include:
Beta
Topics referred to by the same term
the free dictionary. Renormalization group equation may refer to: Beta function (physics) Callan–Symanzik equation Exact renormalization group equation This
Renormalization group equation
Renormalization_group_equation
Type of radioactive decay
In nuclear physics, beta decay (β-decay) is a type of radioactive decay in which an atomic nucleus emits a beta particle (fast energetic electron or positron)
Beta_decay
Mathematical function common in physics
The stretched exponential function f β ( t ) = e − t β {\displaystyle f_{\beta }(t)=e^{-t^{\beta }}} is obtained by inserting a fractional power law into
Stretched exponential function
Stretched_exponential_function
Topics referred to by the same term
solid as a response to a pressure change Beta function (physics), also β(g)—a function in quantum field theory Beta particle, a name used to refer to high-energy
Beta_(disambiguation)
Result of repeatedly applying a mathematical function
Iterated functions crop up in the series expansion of combined functions, such as g(f(x)). Given the iteration velocity, or beta function (physics), v (
Iterated_function
Phenomenon in quantum chromodynamics
Lund string model Gluon field strength tensor Asymptotic freedom Beta function (physics) Yang–Mills existence and mass gap Cornell potential § Calculation
Color_confinement
Function in thermodynamics and statistical physics
In physics, a partition function describes the statistical properties of a system in thermodynamic equilibrium.[citation needed] Partition functions are
Partition function (statistical mechanics)
Partition_function_(statistical_mechanics)
Symbols for constants, special functions
{\displaystyle \mathrm {B} } represents the beta function β {\displaystyle \beta } represents: the thermodynamic beta, equal to (kBT)−1, where kB is the Boltzmann
Greek letters used in mathematics, science, and engineering
Greek_letters_used_in_mathematics,_science,_and_engineering
Characteristic quantity of plasmas
The beta of a plasma, symbolized by β, is the ratio of the plasma pressure (p = nkBT) to the magnetic pressure (pmag = B2/2μ0). The term is commonly used
Plasma_beta
of special functions which developed out of statistics and mathematical physics. A modern, abstract point of view contrasts large function spaces, which
List of mathematical functions
List_of_mathematical_functions
Generating function in integrable systems
{\displaystyle \tau } -function of hypergeometric type. In particular, choosing r j = r j β := e j β {\displaystyle r_{j}=r_{j}^{\beta }:=e^{j\beta }} for some small
Tau function (integrable systems)
Tau_function_(integrable_systems)
Correlators of field operators
{\textstyle \beta ={\frac {1}{k_{\text{B}}T}}} .) Note regarding signs and normalization used in these definitions: The signs of the Green functions have been
Green's function (many-body theory)
Green's_function_(many-body_theory)
Parameter describing the strength of a force
In this case, the non-zero beta function tells us that the classical scale-invariance is anomalous. If a beta function is positive, the corresponding
Coupling_constant
Type of radioactive decay
In nuclear physics, double beta decay is a type of radioactive decay in which two neutrons are simultaneously transformed into two protons, or vice versa
Double_beta_decay
Measure of the coldness of a system
has units of energy. The thermodynamic beta was originally introduced in 1971 (as Kältefunktion "coldness function") by Ingo Müller [de], one of the proponents
Thermodynamic_beta
Intrinsic quantum property of particles
Group Theory in Physics: An Introduction to Symmetry Principles, Group Representations, and Special Functions In Classical And Quantum Physics. London, England
Spin_(physics)
Smooth approximation of one-hot arg max
If the function is scaled with the parameter β {\displaystyle \beta } , then these expressions must be multiplied by β {\displaystyle \beta } . See multinomial
Softmax_function
Statistical description for the behavior of fermions
Fermi–Dirac statistics is a type of quantum statistics that applies to the physics of a system consisting of many non-interacting, identical particles that
Fermi–Dirac_statistics
Possible outcome of renormalization in physics
triviality” is scarce and allows different interpretation. The beta function β ( g ) {\displaystyle \beta (g)} was recently studied by different methods: (1) by
Quantum_triviality
Physical model defined on a lattice
can define the partition function Z = ∑ σ ∈ C exp ( − β E ( σ ) ) {\displaystyle Z=\sum _{\sigma \in {\mathcal {C}}}\exp(-\beta E(\sigma ))} and there
Lattice_model_(physics)
Generalization of the Meijer G-function and the Fox–Wright function
generalization of the Fox H-function was given by Ram Kishore Saxena. A further generalization of this function, useful in physics and statistics, was provided
Fox_H-function
Mathematical technique in thermal field theory
}={\frac {1}{\beta }}\sum _{i\omega }g(i\omega )={\frac {1}{2\pi i\beta }}\oint g(z)h_{\eta }(z)\,dz,} As in Fig. 1, the weighting function generates poles
Matsubara_summation
} , β {\displaystyle \beta } and γ {\displaystyle \gamma } are all complex numbers. The one-parameter Mittag-Leffler function is defined as E α ( z )
Prabhakar_function
Scientific field of study
interference. Particle physics & Nuclear physics: a Feynman diagram representing beta decay. These are just some of the many branches of physics. Others include
Physics
Statistical physics theorem
fluctuation–dissipation relation (FDR) is a powerful tool in statistical physics for predicting the behavior of systems that obey detailed balance. Given
Fluctuation–dissipation theorem
Fluctuation–dissipation_theorem
Thermodynamic potential
and the name Helmholtz energy. In physics, the symbol F is also used in reference to free energy or Helmholtz function. The Helmholtz free energy is defined
Helmholtz_free_energy
Idealization of a large number of atomic-sized systems
{A}}={\frac {\sum _{i}A_{i}e^{-\beta E_{i}}}{\sum _{i}e^{-\beta E_{i}}}}.} The generalized version of the partition function provides the complete framework
Ensemble (mathematical physics)
Ensemble_(mathematical_physics)
Extension of the factorial function
integral of the second kind. (Euler's integral of the first kind is the beta function.) The value Γ ( 1 ) {\displaystyle \Gamma (1)} can be calculated as
Gamma_function
Mathematical model of ferromagnetism in statistical mechanics
_{1}=e^{\beta J}\cosh \beta h+{\sqrt {e^{2\beta J}(\cosh \beta h)^{2}-2\sinh 2\beta J}}=e^{\beta J}\cosh \beta h+{\sqrt {e^{2\beta J}(\sinh \beta h)^{2}+e^{-2\beta
Ising_model
Inverse functions of sin, cos, tan, etc.
used in engineering, navigation, physics, and geometry. There are several notations for the inverse trigonometric functions. The most common uses the prefix
Inverse trigonometric functions
Inverse_trigonometric_functions
Evolutionary equation under renormalization group flow
of the energy scale at which the theory is defined and involves the beta function of the theory and the anomalous dimensions. The Callan–Symanzik equation
Callan–Symanzik_equation
Method of solution to differential equations
Green's function of the Hamiltonian is a key concept with important links to the concept of density of states. The Green's function as used in physics is usually
Green's_function
Mathematical entity to describe the probability of each possible measurement on a system
In quantum physics, a quantum state is a mathematical entity that represents a physical system. Quantum mechanics specifies the construction, evolution
Quantum_state
Description of physical properties at the atomic and subatomic scale
Quantum mechanics, also known as quantum physics, is the fundamental physical theory that describes the behavior of matter and of light; its unusual characteristics
Quantum_mechanics
Function defined by a hypergeometric series
j-invariant, a modular function, is a rational function in λ ( τ ) {\displaystyle \lambda (\tau )} . Incomplete beta functions Bx(p, q) are related by
Hypergeometric_function
Vector describing a wave; often its propagation direction
a kind of envelope function which is sinusoidal, and the wavevector is defined via that envelope wave, usually using the "physics definition". See Bloch's
Wave_vector
Theorized type of radioactive decay
this two-neutrino double beta decay. This conventional double beta decay is allowed in the Standard Model of particle physics. It has thus both a theoretical
Neutrinoless double beta decay
Neutrinoless_double_beta_decay
Concept in theoretical physics
1982. The RG in particle physics was reformulated in more practical terms by Callan and Symanzik in 1970. The above beta function, which describes the "running
Renormalization_group
Description of particle density in statistical mechanics
S_{N}}e^{-\beta U(\mathbf {r} _{\pi (1)},\ldots ,\,\mathbf {r} _{\pi (N)})}\end{aligned}}} where it is clear that the n-point correlation function is dimensionless
Radial_distribution_function
Statistical mechanics model for phase transitions
about the system is encoded in the partition function, Z = ∑ i e − β E i , {\displaystyle Z=\sum _{i}e^{-\beta E_{i}},} where the sum runs over all possible
Lee–Yang_theory
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
Generalization of the concept from statistical mechanics
{\displaystyle Z(\beta )=\sum _{x_{i}}\exp \left(-\beta H(x_{1},x_{2},\dots )\right)} The function H is understood to be a real-valued function on the space
Partition function (mathematics)
Partition_function_(mathematics)
Temperature at which the partition function of a statistical-mechanical system diverges
5 . {\displaystyle \alpha ={\frac {aV}{(2\pi \beta )^{3/5}}}.} Then the asymptotic partition function is given by Z q ( V o , T ) = ( 1 β − β o ) α −
Hagedorn_temperature
Random matrix with gaussian entries
For all β = 1 , 2 , 4 {\displaystyle \beta =1,2,4} cases, the GβE(N) ensemble is defined with density function ρ ( W N ) = 1 Z e − β 4 ∑ i = 1 N W N
Gaussian_ensemble
"Detailed comparison of the Williams–Watts and Cole–Davidson functions". Journal of Chemical Physics. 73 (7): 3348–3357. Bibcode:1980JChPh..73.3348L. doi:10
Cole–Davidson_equation
Berzelium Beta-M Beta-decay stable isobars Beta (plasma physics) Beta (velocity) Beta barium borate Beta decay Beta function (disambiguation) Beta function (physics)
Index_of_physics_articles_(B)
Physical systems hotter than any other
beta }+2e^{-1\beta }+e^{-2\beta }\\[3pt]&=1+2e^{-\beta }+e^{-2\beta }\\[6pt]E(T)&={\frac {0e^{-0\beta }+2\times 1e^{-1\beta }+2e^{-2\beta }}{Z}}\\[3pt]&={\frac
Negative_temperature
Limit of sequence of smooth functions
other function. Then it follows that ∮ ∂ D g ( β ) d β = − ∫ R d ∇ x 1 x ∈ D ⋅ n x g ( x ) d x . {\displaystyle \oint _{\partial D}\,g(\beta )\;d\beta =-\int
Laplacian_of_the_indicator
Generating function for quantum correlation functions
statistical mechanics partition functions, giving rise to a close connection between these two areas of physics. Partition functions can rarely be solved for
Partition function (quantum field theory)
Partition_function_(quantum_field_theory)
unrestricted Hartree–Fock wave function and its use in second-order Møller–Plesset perturbation theory". Journal of Chemical Physics. 91 (3): 1789–1795. Bibcode:1989JChPh
Spin_contamination
Class of chemical compounds
Beta-glucans, β-glucans comprise a group of β-D-glucose polysaccharides (glucans) naturally occurring in the cell walls of plants (including cereals),
Beta-glucan
Description of a quantum-mechanical system
\alpha _{1},\alpha _{2},\alpha _{3},\beta } . Consequently, the wave function also became a four-component function, governed by the Dirac equation that
Schrödinger_equation
Probability distribution
{\displaystyle F_{\beta }} denote the cumulative distribution function of the Tracy–Widom distribution with given β {\displaystyle \beta } . It can be defined
Tracy–Widom_distribution
In particle physics, CLs represents a statistical method for setting upper limits (also called exclusion limits) on model parameters, a particular form
CLs_method_(particle_physics)
Model in electromagnetism
the stretched exponential function can be a viable alternative that has one parameter less. For β = 1 {\displaystyle \beta =1} the Havriliak–Negami equation
Havriliak–Negami_relaxation
Parameter used to calculate the volume change of a fluid or solid in response to pressure
J. (1973). "Compressibility of water as a function of temperature and pressure". Journal of Chemical Physics. 59 (10): 5529–5536. Bibcode:1973JChPh..59
Compressibility
Spectral density of light emitted by a black body
In physics, Planck's law (also Planck radiation law) describes the spectral density of electromagnetic radiation emitted by a black body in thermal equilibrium
Planck's_law
Property of gauge theories in particle physics
quark flavors. Asymptotic freedom can be derived by calculating the beta function describing the variation of the theory's coupling constant under the
Asymptotic_freedom
Disordered magnetic state
In condensed matter physics, a spin glass is a magnetic state characterized by randomness, besides cooperative behavior in freezing of spins at a temperature
Spin_glass
Theory in supersymmetric gauge theory
Seiberg, Nathan (May 1988). "Supersymmetry and non-perturbative beta functions". Physics Letters B. 206 (1): 75–80. Bibcode:1988PhLB..206...75S. doi:10
Seiberg–Witten_theory
Continuous probability distribution
X-\log(1-X)} is the logit function. If X ∼ G u m b e l ( μ X , β ) {\displaystyle X\sim \mathrm {Gumbel} (\mu _{X},\beta )} and Y ∼ G u m b e l ( μ Y
Logistic_distribution
+\beta )&=\sin \alpha \cos \beta +\cos \alpha \sin \beta \\\sin(\alpha -\beta )&=\sin \alpha \cos \beta -\cos \alpha \sin \beta \\\cos(\alpha +\beta )&=\cos
List of trigonometric identities
List_of_trigonometric_identities
\phi \partial _{x}\phi +\beta \partial _{x}^{3}\phi -\gamma \,\partial _{x}^{5}\phi =0,} where waves described by function ϕ ( x , t ) {\displaystyle
Kawahara_equation
Mechanism of beta decay proposed in 1933
particle physics, Fermi's interaction (also the Fermi theory of beta decay or the Fermi four-fermion interaction) is an explanation of the beta decay, proposed
Fermi's_interaction
American physicist (1947–2001)
highpoint of which was his 1972 calculation of the beta function to two-loop accuracy. According to Physics Today, this effort "required unusual courage and
William_E._Caswell
Concept in information theory
(1998). "Minimum uncertainty for antisymmetric wave functions". Letters in Mathematical Physics. 43 (3): 233–248. arXiv:quant-ph/9706015. Bibcode:1997quant
Entropic_uncertainty
Technique for the generative modeling of a continuous probability distribution
ln ρ T − t ( y t ) ⏟ score function d t + β ( T − t ) d W t {\displaystyle dy_{t}={\frac {1}{2}}\beta (T-t)y_{t}dt+\beta (T-t)\underbrace {\nabla _{y_{t}}\ln
Diffusion_model
Function space of all functions whose derivatives are rapidly decreasing
mathematics, Schwartz space S {\displaystyle {\mathcal {S}}} is the function space of all functions whose derivatives of all orders are rapidly decreasing. This
Schwartz_space
Field of physics that studies atomic interactions
Nuclear physics is the field of physics that studies atomic nuclei and their constituents and interactions, in addition to the study of other forms of
Nuclear_physics
Generalization of Gaussian distribution
the probability density function f ( x ) = β C q e q ( − β x 2 ) {\displaystyle f(x)={{\sqrt {\beta }} \over C_{q}}e_{q}(-\beta x^{2})} where e q ( x )
Q-Gaussian_distribution
Characterization of nuclide stability
In nuclear physics, the valley of stability (also called the belt of stability, nuclear valley, energy valley, or beta stability valley) is a characterization
Valley_of_stability
Mathematical function characterizing set membership
In mathematics, an indicator function or a characteristic function of a subset of a set is a function that maps elements of the subset to one, and all
Indicator_function
Family of solutions to related differential equations
Functions of mathematical physics, Van Nostrand Reinhold Company, London, 1970. Chapter 9 deals with Bessel functions. N. M. Temme, Special Functions
Bessel_function
Relationship between programs and proofs
_{\alpha ,\beta ,1}:\alpha \times \beta \to \alpha } and π α , β , 2 : α × β → β {\displaystyle \pi _{\alpha ,\beta ,2}:\alpha \times \beta \to \beta } evaluation:
Curry–Howard_correspondence
Numerical technique for solving quantum Hamiltonians
Exact diagonalization (ED) is a numerical technique used in physics to determine the eigenstates and energy eigenvalues of a quantum Hamiltonian. In this
Exact_diagonalization
Tensor index notation for tensor-based calculations
derivative of a scalar function, a contravariant vector and a covariant vector are: f ; β = f , β {\displaystyle f_{;\beta }=f_{,\beta }} A α ; β = A α ,
Ricci_calculus
Two-dimensional conformal field theory
{\left[\beta ^{2(\beta +\beta ^{-1})}\lambda ^{-i}\right]^{{\frac {\beta ^{-1}-\beta }{2}}+P_{1}+P_{2}+P_{3}}\prod _{\pm ,\pm }\Upsilon _{\beta }({\frac
Liouville_field_theory
Ensemble of states at constant pressure
+ p V i ) {\displaystyle Z^{-1}e^{-\beta (E_{i}+pV_{i})}} , where Z {\displaystyle Z} is the partition function, E i {\displaystyle E_{i}} is the internal
Isothermal–isobaric_ensemble
Mathematical function
Bell-shaped function Cauchy distribution Normal distribution Radial basis function kernel Squires, G. L. (2001-08-30). Practical Physics (4 ed.). Cambridge
Gaussian_function
Special functions of several complex variables
theta functions have useful applications in topics such as number theory: "in how many ways can a number be written as a sum of squares?" physics: "how
Theta_function
This is a categorized list of physics mnemonics. "Lots of Work makes me Mad!": Work = Mad: M=Mass a=acceleration d=distance "Pure Virgins Never Really
List_of_physics_mnemonics
Mathematical concept
P(X=x)={\frac {1}{Z(\beta )}}\exp(-\beta E(x)).} Here, E is a function from the space of states to the real numbers; in physics applications, E(x) is
Gibbs_measure
ϕ α β {\displaystyle \phi _{\alpha \beta }} is a pair-wise potential function, ρ β {\displaystyle \rho _{\beta }} is the contribution to the electron
Embedded_atom_model
Feature of a system that is preserved under some transformation
that change continuously as a function of their parameterization. An important subclass of continuous symmetries in physics are spacetime symmetries. Continuous
Symmetry_(physics)
Analytic function that does not satisfy a polynomial equation
β {\displaystyle \beta } is algebraic and irrational then α β {\displaystyle \alpha ^{\beta }} is transcendental. Thus the function 2x could be replaced
Transcendental_function
Motion of a body subject only to gravity
Q(x;\alpha ,\beta )} is the quantile function of the beta distribution; also known as the inverse function of the regularized incomplete beta function I x (
Free_fall
Exponential function Beta function Gamma function Riemann zeta function Riemann hypothesis Generalized Riemann hypothesis Elliptic function Half-period
List of complex analysis topics
List_of_complex_analysis_topics
Statistical mechanics of quantum-mechanical systems
as it is for the space of square-integrable functions on a line, which is used to define the quantum physics of a continuous degree of freedom. Alternatively
Quantum_statistical_mechanics
Function approximating net physical effect
In elementary particle physics and mathematical physics, in particular in effective field theory, a form factor is a function that encapsulates the properties
Form factor (quantum field theory)
Form_factor_(quantum_field_theory)
Approximation method in statistics
f(x,{\boldsymbol {\beta }})=\sum _{j=1}^{m}\beta _{j}\phi _{j}(x),} where the function ϕ j {\displaystyle \phi _{j}} is a function of x {\displaystyle
Least_squares
S-shaped curve
1 + e − 2 β h , {\displaystyle g(h)={\frac {1}{1+e^{-2\beta h}}},} which is a logistic function. These relationships result in simplified implementations
Logistic_function
1968 physics-related discovery
theoretical physics, the Veneziano amplitude refers to the discovery made in 1968 by Italian theoretical physicist Gabriele Veneziano that the Euler beta function
Veneziano_amplitude
Formulation of classical mechanics
{\displaystyle \beta _{1},\,\beta _{2},\dots ,\beta _{N}} , so Q m = β m {\displaystyle Q_{m}=\beta _{m}} . Setting the generating function equal to Hamilton's
Hamilton–Jacobi_equation
Protein structure
that more than 600 proteins with various function such as oxidase, dismutase, and amylase contain the beta barrel structure. In many cases, the strands
Beta_barrel
2025 video game
Teyon faced allegations during Rennsport's closed beta stage regarding the game's internal physics code, which was found to be identical to the isiMotor
Rennsport
Random temperature-influenced deviations of particles from their average state
β ) {\displaystyle {\mathcal {Z}}(\beta )} , which is referred to as the partition function, or generating function. The latter name is due to the fact
Thermal_fluctuations
BETA FUNCTION-PHYSICS
BETA FUNCTION-PHYSICS
Girl/Female
Greek Hebrew English
From the Hebrew Elisheba, meaning either oath of God, or God is satisfaction. Famous bearer: Old...
Female
English
Short form of English Beatrix, BEA means "voyager (through life)."Â
Biblical
Beth (Hebrew)|house of the sun
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Female
Hebrew
(× Ö¶×˜Ö·×¢) Hebrew unisex name NETA means meaning "plant, shrub."
Female
Italian
 Variant spelling of Italian Zita, ZETA means "little girl." Compare with another form of Zeta.
Boy/Male
Bengali, Hindu, Indian, Sanskrit
Heart Beat
Female
English
Short form of English Elizabeth, BETH means "God is my oath."Â
Female
Native American
 Native American Blackfoot name PETA means "golden eagle." Compare with another form of Peta.
Girl/Female
Bengali, Indian
Fraction of Time
Female
German
Short form of German Margarete, META means "pearl."
Female
Hungarian
Hungarian form of Greek Elisabet, ERZSÉBET means "God is my oath."
Female
English
English name derived from the second letter of the Greek alphabet, beta, related to Hebrew bet, BETA means "house."Â
Female
English
Czech and Polish form of German Bertha, BERTA means "bright."
Female
Spanish
 Short form of Spanish Aleta, LETA means "winged." Compare with another form of Leta.
Female
Polish
Polish name derived from Latin beatus, BEATA means "blessed."Â
Boy/Male
Indian
Friction
Female
Polish
Polish form of Greek Elisabet, ELŻBIETA means "God is my oath."
Female
English
Short form of English Elizabeth, BET means "God is my oath."Â
Male
Hebrew
(בֶּלַע) Hebrew name BELA means "destruction." In the bible, this is the name of several characters, including a king of Edom.
BETA FUNCTION-PHYSICS
BETA FUNCTION-PHYSICS
Boy/Male
Gaelic Irish
Pale.
Girl/Female
Indian
A term of endearment, Grace
Girl/Female
Indian, Punjabi, Sikh
The King of Gods
Boy/Male
Spanish American Latin
Faithful.
Female
Japanese
(è¼) Japanese unisex name HIKARU means "radiance."
Boy/Male
Hindu, Indian, Traditional
Leader; Prince; King
Boy/Male
Assamese, Indian, Oriya, Sanskrit
Fullness; Fulfilled
Girl/Female
Indian, Malayalam
Beautiful
Boy/Male
Hindu
Satisfaction
Girl/Female
Tamil
Vamshitha | வாமà¯à®·à¯€à®¤à®¾
Flute
BETA FUNCTION-PHYSICS
BETA FUNCTION-PHYSICS
BETA FUNCTION-PHYSICS
BETA FUNCTION-PHYSICS
BETA FUNCTION-PHYSICS
n.
The place or point of union, meeting, or junction; specifically, the place where two or more lines of railway meet or cross.
p. p.
of Beat
imp. & p. p.
of Bet
a.
Pertaining to, or connected with, a function or duty; official.
v. t.
To sell by auction.
v. t.
To give the signal for, by beat of drum; to sound by beat of drum; as, to beat an alarm, a charge, a parley, a retreat; to beat the general, the reveille, the tattoo. See Alarm, Charge, Parley, etc.
a.
Pertaining to the function of an organ or part, or to the functions in general.
imp.
of Beat
v. t.
To supply with an organ or organs having a special function or functions.
v. t.
To strike repeatedly; to lay repeated blows upon; as, to beat one's breast; to beat iron so as to shape it; to beat grain, in order to force out the seeds; to beat eggs and sugar; to beat a drum.
n.
A recurring stroke; a throb; a pulsation; as, a beat of the heart; the beat of the pulse.
v. t.
To beat severely.
v. t.
The act of uniting, or the state of being united; junction.
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.
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.
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.
To give sanction to; to ratify; to confirm; to approve.
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.
n.
The things sold by auction or put up to auction.