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Generalized function whose value is zero everywhere except at zero
the Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the
Dirac_delta_function
Periodic distribution ("function") of "point-mass" Dirac delta sampling
{\displaystyle k} . The Dirac delta function δ {\displaystyle \delta } and the Dirac comb are tempered distributions. The graph of the function resembles a comb
Dirac_comb
Mathematical function of two variables; outputs 1 if they are equal, 0 otherwise
continuous-time systems the Dirac delta function is often confused for both the Kronecker delta function and the unit sample function. The Dirac delta is defined as:
Kronecker_delta
Model of an energy potential in quantum mechanics
quantum mechanics the delta potential is a potential well mathematically described by the Dirac delta function - a generalized function. Qualitatively, it
Delta_potential
Output of a dynamic system when given a brief input
function contains all frequencies (see the Fourier transform of the Dirac delta function, showing infinite frequency bandwidth that the Dirac delta function
Impulse_response
Method of solution to differential equations
function G {\displaystyle G} is the solution of the equation L G = δ , {\displaystyle LG=\delta ,} where δ {\displaystyle \delta } is Dirac's delta function;
Green's_function
Measure that is 1 if and only if a specified element is in the set
of formalizing the idea of the Dirac delta function, an important tool in physics and other technical fields. A Dirac measure is a measure δx on a set
Dirac_measure
Indicator function of positive numbers
integral of the Dirac delta function. This is sometimes written as: H ( x ) := ∫ − ∞ x δ ( s ) d s , {\displaystyle H(x):=\int _{-\infty }^{x}\delta (s)\,ds,}
Heaviside_step_function
Function returning minus 1, zero or plus 1
{sgn}(x)F(x)-\int {2\delta (x)F(x){\text{d}}x}\,,} where δ ( x ) {\textstyle \delta (x)} is the Dirac delta function. Integrating, the following
Sign_function
Function whose graph is 0, then 1, then 0 again, in an almost-everywhere continuous way
{\displaystyle \delta (t)} is δ ( f ) = 1 , {\displaystyle \delta (f)=1,} means that the frequency spectrum of the Dirac delta function is infinitely broad
Rectangular_function
Fourth letter in the Greek alphabet
The Kronecker delta in mathematics. The central difference for a function. The degree of a vertex in graph theory. The Dirac delta function in mathematics
Delta_(letter)
Fundamental object of geometry
as points with non-zero charge). The Dirac delta function, or δ function, is (informally) a generalized function on the real number line that is zero
Point_(geometry)
Limit of sequence of smooth functions
on the indicator function of some domain D. It is a generalisation of the derivative (or "prime function") of the Dirac delta function to higher dimensions;
Laplacian_of_the_indicator
Extremely small quantity in calculus; thing so small that there is no way to measure it
continuity in his Cours d'Analyse, and in defining an early form of a Dirac delta function. As Cantor and Dedekind were developing more abstract versions of
Infinitesimal
Partial differential equations
three-dimensional space, and δ {\displaystyle \delta } is the Dirac delta function. The algebraic expression of the Green's function for the three-variable Laplace operator
Green's function for the three-variable Laplace equation
Green's_function_for_the_three-variable_Laplace_equation
Objects that generalize functions
distributions, such as the Dirac delta function. The practical use of distributions can be traced back to the use of Green functions in the 1830s to solve
Distribution (mathematical analysis)
Distribution_(mathematical_analysis)
Topics referred to by the same term
A Dirac delta function or simply delta function is a generalized function on the real number line denoted by δ that is zero everywhere except at zero
Delta function (disambiguation)
Delta_function_(disambiguation)
British physicist (1902–1984)
career, Dirac made numerous important contributions to mathematical subjects, including the Dirac delta function, Dirac algebra and the Dirac operator
Paul_Dirac
Mathematical function characterizing set membership
step function is equal to the Dirac delta function, i.e. d H ( x ) d x = δ ( x ) {\displaystyle {\frac {\mathrm {d} H(x)}{\mathrm {d} x}}=\delta (x)}
Indicator_function
arguments. The integral of the Dirac delta function. Sawtooth wave Square wave Triangle wave Rectangular function Floor function: Largest integer less than
List of mathematical functions
List_of_mathematical_functions
In functional analysis, a Hilbert space
non-existent Dirac delta function). However, there are RKHSs in which the norm is an L2-norm, such as the space of band-limited functions (see the example
Reproducing kernel Hilbert space
Reproducing_kernel_Hilbert_space
Multivalued function in mathematics
provides an exact solution to the quantum-mechanical double-well Dirac delta function model for equal charges—a fundamental problem in physics. Prompted
Lambert_W_function
Characteristic time in a system
the step response to a step input, or the impulse response to a Dirac delta function input. In the frequency domain (for example, looking at the Fourier
Time_constant
Special mathematical functions defined on the surface of a sphere
indices and the Dirac delta function. For the spherical harmonics, the Dirac delta is the tensor product of two Dirac delta functions, one for the azimuthal
Spherical_harmonics
Probability distribution
distribution becomes a one-point degenerate distribution with a Dirac delta function spike at the right end, x = 1, with probability 1, and zero probability
Beta_distribution
Objects extending the notion of functions
1920s and 1930s further basic steps were taken. The Dirac delta function was boldly defined by Paul Dirac (an aspect of his scientific formalism); this was
Generalized_function
Probability distribution
This function is also known as a Lorentzian function, and an example of a nascent delta function, and therefore approaches a Dirac delta function in the
Cauchy_distribution
Description of continuous random distribution
the probability density function of X {\displaystyle X} and δ ( ⋅ ) {\displaystyle \delta (\cdot )} be the Dirac delta function. It is possible to use
Probability_density_function
Mathematical description of quantum state
potentials that are not functions but are distributions, such as the Dirac delta function. It is easy to visualize a sequence of functions meeting the requirement
Wave_function
French mathematician (1915–2002)
of distributions or generalized functions, giving a well-defined meaning to objects such as the Dirac delta function. For several years he taught at the
Laurent_Schwartz
functions. Symmetric function: value is independent of the order of its arguments Generalized function: a wide generalization of Dirac delta function
List_of_types_of_functions
Result about when a matrix can be diagonalized
f(t)=\delta (t-t_{0})} , where δ {\displaystyle \delta } is the Dirac delta function, is an eigenvector when construed in an appropriate sense. The Dirac delta
Spectral_theorem
Probability distribution
at a specific point (that is its probability distribution is the Dirac delta function), then after time t its location is described by a normal distribution
Normal_distribution
Hypothetical particle with one magnetic pole
magnetic field is proportional to the Dirac delta function at the origin. We must define one set of functions for the vector potential on the "northern
Magnetic_monopole
Operator in quantum mechanics
{\displaystyle x} is the Dirac delta (function) distribution centered at the position x {\displaystyle x} , often denoted by δ x {\displaystyle \delta _{x}} . In quantum
Position_operator
Parametrization used for loop integrals
electrodynamics. Hung Cheng and T.T. Wu proved in 1987 that the sum in the Dirac delta function can be reduced to a subset of Feynman parameters. This result is
Feynman_parametrization
Partial differential equation describing the evolution of temperature in a region
{R} \times (0,\infty )\\u(x,0)=\delta (x)&\end{cases}}} where δ {\displaystyle \delta } is the Dirac delta function. The fundamental solution to this
Heat_equation
Reactor simulation model
the plug is a function of its position in the reactor. In the ideal PFR, the residence time distribution is therefore a Dirac delta function with a value
Plug_flow_reactor_model
Reconstruction of a filtered signal
estimated wavelet to a Dirac delta function (i.e., a spike). The result may be seen as a series of scaled, shifted delta functions (although this is not
Deconvolution
Distribution of variables which satisfies a stability property under linear combinations
bound corresponding to the normal distribution, and approaches the Dirac delta function in the limit as α → 0 {\displaystyle \alpha \rightarrow 0} . The
Stable_distribution
Inputs for which a function's value is non-zero
density function. It is possible also to talk about the support of a distribution, such as the Dirac delta function δ ( x ) {\displaystyle \delta (x)} on
Support_(mathematics)
Mathematical transform that expresses a function of time as a function of frequency
relatively simple applications use the Dirac delta function, which can be treated formally as if it were a function, but the justification requires a mathematically
Fourier_transform
For an infinite crystal, the diffracted pattern is concentrated in Dirac delta function like Bragg peaks. Presence of crystalline surfaces results in additional
X-ray_crystal_truncation_rod
this function for different values of n reveals that as n goes to infinity, L n ( t ) {\displaystyle L_{n}(t)} approaches the Dirac delta function, as
Landau_kernel
Family of solutions to related differential equations
approaches zero, the right-hand side approaches δ(x − 1), where δ is the Dirac delta function. This admits the limit (in the distributional sense): ∫ 0 ∞ k J α
Bessel_function
Integral transform useful in probability theory, physics, and engineering
special case is where μ is a probability measure, for example, the Dirac delta function. In operational calculus, the Laplace transform of a measure is often
Laplace_transform
Characteristic of an optical system
function diverges at the origin x = y = z = 0. The function values along the z-axis of the 3D optical transfer function correspond to the Dirac delta
Optical_transfer_function
Concept in the solution of linear partial differential equations
Green's function (although unlike Green's functions, fundamental solutions do not address boundary conditions). In terms of the Dirac delta function δ(x)
Fundamental_solution
Function in quantum field theory showing probability amplitudes of moving particles
t')=\delta (x-x')\delta (t-t'),} where H denotes the Hamiltonian, δ(x) denotes the Dirac delta-function and Θ(t) is the Heaviside step function. The kernel
Propagator
Mathematical function for the probability a given outcome occurs in an experiment
distributions can be represented with the Dirac delta function as a generalized probability density function f {\displaystyle f} , where f ( x ) = ∑ ω
Probability_distribution
Electric circuit composed of resistors and capacitors
h_{R}(t)=\delta (t)-{\frac {1}{RC}}e^{-{\frac {t}{RC}}}u(t)=\delta (t)-{\frac {1}{\tau }}e^{-{\frac {t}{\tau }}}u(t)\,,} where δ(t) is the Dirac delta function
RC_circuit
Taylor series expansion in probability theory
}{\frac {(-1)^{n}}{n!}}\delta ^{(n)}(x-x_{0})\mu _{n}(t|x_{0},t_{0})} Now we need to integrate away the Dirac delta function. Fixing a small τ > 0 {\displaystyle
Kramers–Moyal_expansion
Type of signal in signal processing
the power spectral density and δ {\displaystyle \delta } is the Dirac delta function, an unbounded measure which correctly reflects the infinite variance
White_noise
Mathematical function common in physics
to a Dirac delta function peaked at u = 1 as β approaches 1, corresponding to the simple exponential function. The moments of the original function can
Stretched exponential function
Stretched_exponential_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
Fermi–Dirac_statistics
Relative importance of certain frequencies in a composite signal
=2\pi f(\omega )\delta (\omega -\omega '),} where δ ( ω − ω ′ ) {\displaystyle \delta (\omega -\omega ')} is the Dirac delta function. Such formal statements
Spectral_density
Measure of inequality of a statistical distribution
with support on [ 0 , ∞ ) {\displaystyle [0,\infty )} are shown. The Dirac delta distribution represents the case where everyone has the same wealth (or
Gini_coefficient
Transition rate formula
\varepsilon |\varepsilon '\rangle =\delta (\varepsilon -\varepsilon ')} where δ {\displaystyle \delta } is the Dirac delta function, and effectively a factor of
Fermi's_golden_rule
Conversion of continuous functions into discrete counterparts
tempered distribution (e.g. a Dirac delta function δ {\displaystyle \delta } or any other compactly supported function), α {\displaystyle \alpha } is
Discretization
Signal processing conducted on analog signals
unit step function is related to the Dirac delta function by u ( t ) = ∫ − ∞ t δ ( s ) d s {\displaystyle u(t)=\int _{-\infty }^{t}\delta (s)ds} Linearity
Analog_signal_processing
Condition to avoid intersymbol interference
{\displaystyle n} . We multiply such a h(t) by a sum of Dirac delta function (impulses) δ ( t ) {\displaystyle \delta (t)} separated by intervals Ts This is equivalent
Nyquist_ISI_criterion
Foundational law of electromagnetism relating electric field and charge distributions
{\mathbf {r} }{|\mathbf {r} |^{3}}}\right)=4\pi \delta (\mathbf {r} )} where δ(r) is the Dirac delta function, the result is ∇ ⋅ E ( r ) = 1 ε 0 ∫ ρ ( s )
Gauss's_law
Generalized version of classical Green's function
function of two discrete variable m and n. Similar to the case of Dirac delta function for continuous variables, it is defined to be 1 if m = n and 0 otherwise
Multiscale_Green's_function
Integral expressing the amount of overlap of one function as it is shifted over another
convolution with a translated Dirac delta function τxf = f ∗ τx δ. So translation invariance of the convolution of Schwartz functions is a consequence of the
Convolution
Theoretical framework in physics
},{\hat {a}}_{\mathbf {q} }^{\dagger }\right]=0,} where δ is the Dirac delta function. The vacuum state | 0 ⟩ {\displaystyle |0\rangle } is defined by
Quantum_field_theory
Paradigmatic model
T} is the kicking period and δ {\displaystyle \textstyle \delta } is the Dirac delta function. The equations of motion of the kicked rotator write d θ
Kicked_rotator
Quick, temporary change in amplitude of electrical signals
A Dirac pulse has the shape of the Dirac delta function. It has the properties of infinite amplitude and its integral is the Heaviside step function. Equivalently
Pulse_(signal_processing)
Differential equation important in physics
s(t,x)=\delta ^{D+1}(t,x)} where δ {\displaystyle \delta } is the Dirac delta function. The solution to this case is called the Green's function G {\displaystyle
Wave_equation
Frequency domain representation of random fluctuations in the phase of a waveform
frequency domain, this would be represented as a single pair of Dirac delta functions (positive and negative conjugates) at the oscillator's frequency;
Phase_noise
Complex analysis theorem
}}=\mp i\pi \delta (x)+{\mathcal {P}}{{\Big (}{\frac {1}{x}}{\Big )}}.} where δ ( x ) {\displaystyle \delta (x)} is the Dirac delta function where P {\displaystyle
Sokhotski–Plemelj_theorem
First-order differential linear operator on spinor bundle, whose square is the Laplacian
In mathematics and in quantum mechanics, a Dirac operator is a first-order differential operator that is a formal square root, or half-iterate, of a second-order
Dirac_operator
Mathematical approach to quantum optics
singular than a Dirac delta function. (By a theorem of Schwartz, distributions that are more singular than the Dirac delta function are always negative
Glauber–Sudarshan P representation
Glauber–Sudarshan_P_representation
Topics referred to by the same term
distribution of a function Difference operator (Δ) Dirac delta function (δ function) Kronecker delta ( δ i j {\displaystyle \delta _{ij}} ) Laplace operator
Delta
Generalization of mass, length, area and volume
distributions for instances. The Dirac measure δa (cf. Dirac delta function) is given by δa(S) = χS(a), where χS is the indicator function of S . {\displaystyle
Measure_(mathematics)
Distribution of distances between pairs of particles in a given volume
is therefore a set of Dirac delta functions of the form: g ( r ) = ∑ i δ ( r − i b ) {\displaystyle g(r)=\sum \limits _{i}\delta (r-ib)} . Finally, it
Pair_distribution_function
Number, approximately 3.14
{R} ^{2}} : Δ Φ = δ {\displaystyle \Delta \Phi =\delta } where δ {\displaystyle \delta } is the Dirac delta function. In higher dimensions, factors of π
Pi
Fourier transform of the probability density function
_{X}^{(n)}(0),\!} This can be formally written using the derivatives of the Dirac delta function: f X ( x ) = ∑ n = 0 ∞ ( − 1 ) n n ! δ ( n ) ( x ) E [ X n ] {\displaystyle
Characteristic function (probability theory)
Characteristic_function_(probability_theory)
Equation in Fourier analysis
is the Dirac comb, one obtains periodic summation on one side and sampling on the other side of the equation. Applied to the Dirac delta function and its
Poisson_summation_formula
Function of propagation delay and Doppler frequency
ambiguity function of interest is a 2-dimensional Dirac delta function or "thumbtack" function; that is, a function which is infinite at (0,0) and zero elsewhere
Ambiguity_function
1). The Dirac delta function, although not strictly a probability distribution, is a limiting form of many continuous probability functions. It represents
List of probability distributions
List_of_probability_distributions
Idealised model of a particle in physics
such as mass or charge, it is often represented mathematically by a Dirac delta function. In classical mechanics there is usually no concept of rotation of
Point_particle
Decomposition of periodic functions
{\displaystyle {\mathcal {F}}\{e^{i2\pi {\tfrac {n}{P}}x}\}} is a Dirac delta function, which is an example of a distribution. "Fourier". Dictionary.com
Fourier_series
Probability distribution in measure theory
space. For example, the Dirac delta function is a singular measure. Example. A discrete measure. The Heaviside step function on the real line, H ( x )
Singular_measure
Class of discontinuous functions
referred to as singularity brackets. The functions are defined as: where: δ(x) is the Dirac delta function, also called the unit impulse. The first derivative
Singularity_function
Family of implicit and explicit iterative methods
{dy}{dt}}=f(t,y),\quad y(t_{0})=y_{0}.} Here y {\displaystyle y} is an unknown function (scalar or vector) of time t {\displaystyle t} , which we would like to
Runge–Kutta_methods
Mathematical concept
convolution quotients allows easy algebraic representation of the Dirac delta function, integral operator, and differential operator without having to deal
Convolution_quotient
Numerical parameter in probability theory
concentrated on a single point, the degenerate distribution defined by the Dirac delta function). In the case of multivariate Dirichlet distributions, there is some
Concentration_parameter
Concept in calculus of variations
{\delta f^{-1}(x)}{\delta f(y)}}=-{\frac {\delta \left(f^{-1}(x)-y\right)}{f'\left(f^{-1}(x)\right)}}} In physics, it is common to use the Dirac delta function
Functional_derivative
Type of generalized function
with the Dirac delta function. Using a partition of unity one can write any continuous function (distribution) as a locally finite sum of functions (distributions)
Hyperfunction
Correlation of a signal with a time-shifted copy of itself, as a function of shift
continuous-time white noise signal will have a strong peak (represented by a Dirac delta function) at τ = 0 {\displaystyle \tau =0} and will be exactly 0 {\displaystyle
Autocorrelation
Integral of a comparatively larger force over a short time interval
Nonlinear optics Acousto-optic modulator Electron–phonon scattering Dirac delta function, mathematical abstraction of a pure impulse Christiaan Huygens, Paper
Impulse_(physics)
Measure of the electric polarizability of a dielectric material
= 0 for Δt < 0. An instantaneous response would correspond to a Dirac delta function susceptibility χ(Δt) = χδ(Δt). It is convenient to take the Fourier
Permittivity
Partial differential equations with random force terms and coefficients
as ∂ t u = Δ u + ξ , {\displaystyle \partial _{t}u=\Delta u+\xi \;,} where Δ {\displaystyle \Delta } is the Laplacian and ξ {\displaystyle \xi } denotes
Stochastic partial differential equation
Stochastic_partial_differential_equation
Relativistic quantum mechanical wave equation
wave functions in Pauli's phenomenological theory of spin. The wave functions in the Dirac theory are vectors of four complex numbers (known as Dirac spinors)
Dirac_equation
Foundational principle in quantum physics
wave function vanishes at both infinities and | e − i p χ / ℏ | = 1 {\displaystyle |e^{-ip\chi /\hbar }|=1} , and then use the Dirac delta function which
Uncertainty_principle
Approach to quantum theory
variation function δ ϕ ^ ( x , t ) {\displaystyle \delta {\hat {\phi }}(\mathbf {x} ,t)} , the kernel of the integral must be a Dirac delta function. This
Schwinger's quantum action principle
Schwinger's_quantum_action_principle
Interpretation of quantum mechanics
of relative states: the object system's relative state becomes a Dirac delta function each centered on a particular value of q and the corresponding observer
Many-worlds_interpretation
Linear transform from the time domain to the frequency domain
impulse function (cf. Dirac delta function, which is a continuous-time version). The two functions are chosen together so that the unit step function is the
Z-transform
Mathematical function of a linear operator
product of the eigenfunctions equal to either a Kronecker delta or a Dirac delta function, respectively. For many Hermitian operators, notably Sturm–Liouville
Eigenfunction
Random motion of particles suspended in a fluid
squared displacement: E [ ( Δ x ) 2 ] {\textstyle \mathbb {E} {\left[(\Delta x)^{2}\right]}} . However, when he relates it to a particle of mass m moving
Brownian_motion
DIRAC DELTA-FUNCTION
DIRAC DELTA-FUNCTION
Boy/Male
Hindu
Indra devta
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
A Name for Goddess Lakshmi
Girl/Female
Indian
A name of Goddess Lakshmi
Girl/Female
American, Australian, British, Chinese, Christian, Danish, English, Finnish, French, German, Greek, Italian, Latin, Portuguese, Romanian, Swedish
Of Delos; Visible; Heart; People-bold; Delightful; Faithful
Female
English
(Δήλια) Greek name DELIA means "of Delos." In mythology, this is a name borne by Artemis, referring to her place of birth.
Girl/Female
Welsh American Celtic German Greek
Dark.
Boy/Male
Indian
Scholar
Girl/Female
Hindu, Indian, Punjabi, Sikh
Divine Damsel
Girl/Female
American, Australian, British, Christian, English, German, Latin
Noble; Of Nobility; Small Winged One; Heart; Delight
Female
English
Short form of English Fidelma, possibly DELMA means "hospitable."
Boy/Male
Indian
Old Arabic name
Boy/Male
Muslim
Scholar
Female
English
Feminine form of English Dell, DELLA means "lives in a dell/hollow."
Girl/Female
American, Australian, Christian, Greek, Hebrew
Triangular River Mouth; Mouth of a River; Fourth Letter of Greek Alphabet; A Name for a Fourth Child; Fourth Letter of the Greek Alphabet
Girl/Female
German American Spanish
Noble protector.
Girl/Female
German American English Greek
Bright. Noble.
Boy/Male
Muslim
Old Arabic name
Girl/Female
American, Australian, Celtic, Chinese, Christian, French, German, Spanish
Noble Protector; Of the Sea
Boy/Male
Tamil
Inder Kant | இநà¯à®¤à®°à®•à®¾à®¨à¯à®¤
Indra devta
Inder Kant | இநà¯à®¤à®°à®•à®¾à®¨à¯à®¤
Girl/Female
Greek American
Born fourth. Fourth letter of the Greek alphabet.
DIRAC DELTA-FUNCTION
DIRAC DELTA-FUNCTION
Male
Hebrew
Variant spelling of Hebrew Kaleb, KALEBH means "dog"Â or "rabid."
Boy/Male
Hindu, Indian
Minute Particle
Girl/Female
Hindu, Indian, Marathi
Extremely Diligent
Girl/Female
Muslim
Thankful one
Girl/Female
Hindu
Derived from the word Mausam which means season, And can also be Mausami
Girl/Female
Indian, Telugu
Fire
Girl/Female
Tamil
Avantika | அவஂதிகா
City of ujjain, Princess of ujjain
Boy/Male
Indian, Punjabi, Sikh
Having Knowledge of Guru's Word
Female
Bulgarian
, living.
Girl/Female
Australian, British, English, Gaelic, Irish
Terror; Lovers
DIRAC DELTA-FUNCTION
DIRAC DELTA-FUNCTION
DIRAC DELTA-FUNCTION
DIRAC DELTA-FUNCTION
DIRAC DELTA-FUNCTION
a.
Destitute of function, or of an appropriate organ. Darwin.
v. i.
Alt. of Functionate
pl.
of Delta
adv.
In a functional manner; as regards normal or appropriate activity.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
a.
Relating to, or like, a delta.
n.
A flat apothecium having no rim.
pl.
of Functionary
a.
Shaped like the Greek / (delta); delta-shaped; triangular.
n.
The formation of a delta or of deltas.
a.
Pertaining to, or connected with, a function or duty; official.
n.
A tract of land shaped like the letter delta (/), especially when the land is alluvial and inclosed between two or more mouths of a river; as, the delta of the Ganges, of the Nile, or of the Mississippi.
pl.
of Pelta
a.
Of or pertaining to the Accademia della Crusca in Florence.
n.
A small branching shrub (Dirca palustris), with a white, soft wood, and a tough, leathery bark, common in damp woods in the Northern United States; -- called also moosewood, and wicopy.
n.
A small shield, especially one of an approximately elliptic form, or crescent-shaped.
v. t.
To assign to some function or office.
v. i.
To execute or perform a function; to transact one's regular or appointed business.