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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
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)
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
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
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
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)
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)
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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 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
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
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
Differential equation for the description of waves or standing wave
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
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)
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
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
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
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
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
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)
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
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
Description of the ground state of a quantum system
s-wave scattering length, and δ ( r ) {\displaystyle \delta (\mathbf {r} )} is the Dirac delta-function. The variational method shows that if the single-particle
Gross–Pitaevskii_equation
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
Eigenvalue problem for the Laplace operator
the Green's function of this equation, that is, the solution to the inhomogeneous Helmholtz equation with f equaling the Dirac delta function, so G satisfies
Helmholtz_equation
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
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)
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
Number, approximately 3.14
^{2}} : Δ Φ = δ , {\displaystyle \Delta \Phi =\delta ,} where δ {\displaystyle \delta } is the Dirac delta function. In higher dimensions, factors of
Pi
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
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
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 function having a characteristic "bell"-shaped curve
functions with decreasing variance that approach the Dirac delta distribution. Indeed, the Dirac delta can roughly be thought of as a bell curve with variance
Bell-shaped_function
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
Rate of change of acceleration with time
be modeled using a Dirac delta function in jerk, scaled to the height of the jump. Integrating jerk over time across the Dirac delta yields the jump-discontinuity
Jerk_(physics)
Variant Fourier transforms
functions into a sum of sine waves representing the odd component of the function plus cosine waves representing the even component of the function.
Sine_and_cosine_transforms
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
Sum of a function's values every _P_ offsets
summation of a Dirac delta function is the Dirac comb. Likewise, the periodic summation of an integrable function is its convolution with the Dirac comb. If
Periodic_summation
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
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
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
Mathematical model to describe the outbreak of an infectious disease
_{0}^{\infty }\gamma (a)i(a,t)\,da,} where δ ( a ) {\displaystyle \delta (a)} is a Dirac delta-function and the infection pressure λ = ∫ 0 ∞ β ( a ) i ( a , t )
Kermack–McKendrick_theory
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
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
Study of still or slow electric charges
Electrostatics: Point charges can be treated as a distribution using the Dirac delta function Library resources about Electrostatics Resources in your library
Electrostatics
Signal filtering technique
the Dirac delta function. Its real-space form is the same as the moving average, with the exception of not introducing a shift in the output function. Boxcar
Top-hat_filter
Second-order partial differential equation
′ , z − z ′ ) , {\displaystyle \Delta u=u_{xx}+u_{yy}+u_{zz}=-\delta (x-x',y-y',z-z'),} where the Dirac delta function δ denotes a unit source concentrated
Laplace's_equation
DIRAC DELTA-FUNCTION
DIRAC DELTA-FUNCTION
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
Boy/Male
Hindu
Indra devta
Girl/Female
American, Australian, British, Christian, English, German, Latin
Noble; Of Nobility; Small Winged One; Heart; Delight
Girl/Female
Greek American
Born fourth. Fourth letter of the Greek alphabet.
Boy/Male
Indian
Scholar
Female
English
(Δήλια) Greek name DELIA means "of Delos." In mythology, this is a name borne by Artemis, referring to her place of birth.
Boy/Male
Muslim
Old Arabic name
Girl/Female
German American Spanish
Noble protector.
Female
English
Short form of English Fidelma, possibly DELMA means "hospitable."
Girl/Female
German American English Greek
Bright. Noble.
Boy/Male
Indian
Old Arabic name
Female
English
Feminine form of English Dell, DELLA means "lives in a dell/hollow."
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
Welsh American Celtic German Greek
Dark.
Boy/Male
Muslim
Scholar
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
Girl/Female
Hindu, Indian, Punjabi, Sikh
Divine Damsel
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
A Name for Goddess Lakshmi
Girl/Female
American, Australian, Celtic, Chinese, Christian, French, German, Spanish
Noble Protector; Of the Sea
DIRAC DELTA-FUNCTION
DIRAC DELTA-FUNCTION
Boy/Male
Hindu, Indian
Intelligent; Like a Scholar
Girl/Female
American, Australian
Palm Tree; Date Palm
Boy/Male
Muslim/Islamic
Prince kind, loving and generous
Boy/Male
Hindu, Indian
One who Mediates
Girl/Female
Arabic
Virtue; Excellence
Boy/Male
Tamil
Centre of body, An ancient king
Boy/Male
Hindu, Indian, Marathi
Colour of Cloud
Girl/Female
Tamil
Foolwati | பூலவதீ, பூலவதீ
Delicate as a flower
Boy/Male
Muslim/Islamic
Prince the honest and kind. Peace and truth
Girl/Female
Arabic, Muslim
Light
DIRAC DELTA-FUNCTION
DIRAC DELTA-FUNCTION
DIRAC DELTA-FUNCTION
DIRAC DELTA-FUNCTION
DIRAC DELTA-FUNCTION
v. i.
To execute or perform a function; to transact one's regular or appointed business.
pl.
of Delta
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.
v. i.
Alt. of Functionate
n.
A small shield, especially one of an approximately elliptic form, or crescent-shaped.
pl.
of Pelta
v. t.
To assign to some function or office.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
n.
A flat apothecium having no rim.
a.
Relating to, or like, a delta.
a.
Of or pertaining to the Accademia della Crusca in Florence.
n.
The formation of a delta or of deltas.
adv.
In a functional manner; as regards normal or appropriate activity.
pl.
of Functionary
a.
Pertaining to the function of an organ or part, or to the functions in general.
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.
a.
Pertaining to, or connected with, a function or duty; official.
a.
Destitute of function, or of an appropriate organ. Darwin.
a.
Shaped like the Greek / (delta); delta-shaped; triangular.