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Laplace and Sumudu transform just by changing variables. Given the convergence to the Laplace and Sumudu transforms, the N-transform inherits all the applied
N-transform
Discrete Fourier transform algorithm
Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT), or its inverse (IDFT), of a sequence. A Fourier transform converts
Fast_Fourier_transform
Integral transform useful in probability theory, physics, and engineering
In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable
Laplace_transform
Mathematical transform that expresses a function of time as a function of frequency
In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function that describes the extent
Fourier_transform
Integral transform and linear operator
In mathematics and signal processing, the Hilbert transform is a specific singular integral that takes a function, u(t) of a real variable and produces
Hilbert_transform
Change of basis applied in quantum computing
Fourier transform on 2 n {\displaystyle 2^{n}} amplitudes can be implemented as a quantum circuit consisting of only O ( n 2 ) {\displaystyle O(n^{2})}
Quantum_Fourier_transform
Function in discrete mathematics
X k + N ≜ ∑ n = 0 N − 1 x n e − i 2 π N ( k + N ) n = ∑ n = 0 N − 1 x n e − i 2 π N k n e − i 2 π n ⏟ 1 = ∑ n = 0 N − 1 x n e − i 2 π N k n = X k
Discrete_Fourier_transform
Linear transform from the time domain to the frequency domain
cases where x [ n ] {\displaystyle x[n]} is defined only for n ≥ 0 {\displaystyle n\geq 0} , the single-sided or unilateral Z-transform is defined as:
Z-transform
Integral transform in mathematics
In mathematics, the Radon transform is the integral transform which takes a function f defined on the plane to a function Rf defined on the (two-dimensional)
Radon_transform
Involutive change of basis in linear algebra
Hadamard transform (also known as the Walsh–Hadamard transform, Hadamard–Rademacher–Walsh transform, Walsh transform, or Walsh–Fourier transform) is an
Hadamard_transform
of transforms in mathematics. Abel transform Aboodh transform Bateman transform Fourier transform Fourier cosine transform Fourier sine transform Fractional
List_of_transforms
Short-time Fourier transform with variable resolution
frequency of the lowest filter, and n is the number of filters per octave. The short-time Fourier transform of x[n] for a frame shifted to sample m is
Constant-Q_transform
Technique used in signal processing and data compression
transform size N × N × N is assumed to be 2. x ~ ( n 1 , n 2 , n 3 ) = x ( 2 n 1 , 2 n 2 , 2 n 3 ) x ~ ( n 1 , n 2 , N − n 3 − 1 ) = x ( 2 n 1 , 2 n 2
Discrete_cosine_transform
Mathematical algorithm
Z-transform can be computed in O(n log n) operations where n = max ( M , N ) n=\max(M,N) . An O(N log N) algorithm for the inverse chirp Z-transform (ICZT)
Chirp_Z-transform
Mathematical operation
Mellin transform is an integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform. This integral transform is
Mellin_transform
Fourier-related transform for signals that change over time
The short-time Fourier transform (STFT) is a Fourier-related transform used to determine the sinusoidal frequency and phase content of local sections
Short-time_Fourier_transform
mathematics, Jacobi transform is an integral transform named after the mathematician Carl Gustav Jacob Jacobi, which uses Jacobi polynomials P n α , β ( x ) {\displaystyle
Jacobi_transform
Mathematical technique used in data compression and analysis
mathematical definition of an orthonormal wavelet and of the integral wavelet transform. A function ψ ∈ L 2 ( R ) {\displaystyle \psi \,\in \,L^{2}(\mathbb {R}
Wavelet_transform
Transformation of a mathematical sequence
binomial transform, T, of a sequence, {an}, is the sequence {sn} defined by s n = ∑ k = 0 n ( − 1 ) k ( n k ) a k . {\displaystyle s_{n}=\sum _{k=0}^{n}(-1)^{k}{\binom
Binomial_transform
Hermite transform is an integral transform named after the mathematician Charles Hermite that uses Hermite polynomials H n ( x ) {\displaystyle H_{n}(x)}
Hermite_transform
Mathematical operation
In mathematics, the Hankel transform expresses any given function f(r) as the weighted sum of an infinite number of Bessel functions of the first kind
Hankel_transform
Laguerre transform is an integral transform named after the mathematician Edmond Laguerre, which uses generalized Laguerre polynomials L n α ( x ) {\displaystyle
Laguerre_transform
Time-frequency transform in geophysics
fast S transform algorithm was invented in 2010. It reduces the computational complexity from O[N2·log(N)] to O[N·log(N)] and makes the transform one-to-one
S_transform
Fourier analysis technique applied to sequences
Fourier transform (DTFT): S 1 / T ( f ) ≜ ∑ n = − ∞ ∞ T ⋅ s ( n T ) ⏟ s [ n ] e − i 2 π f T n . {\displaystyle S_{1/T}(f)\triangleq \sum _{n=-\infty
Discrete-time Fourier transform
Discrete-time_Fourier_transform
Special case of the short-time Fourier transform
The Gabor transform, named after Dennis Gabor, is a special case of the short-time Fourier transform. It is used to determine the sinusoidal frequency
Gabor_transform
Mathematical circuit analysis technique
being removed. The transform replaces N resistors with 1 2 N ( N − 1 ) {\textstyle {\frac {1}{2}}N(N-1)} resistors. For N > 3 {\textstyle N>3} , the result
Star-mesh_transform
Branch of mathematics
inverse transform, also known as a discrete Fourier series, is given by: s N [ n ] = 1 N ∑ k S [ k ] ⋅ e i 2 π n N k , {\displaystyle s_{_{N}}[n]={\frac
Fourier_analysis
Mathematical operation
f ( n ) {\displaystyle f(n)} be a function of an integer variable n ∈ Z {\displaystyle n\in \mathbb {Z} } (a sequence). The discrete Zak transform of f
Zak_transform
Mapping involving integration between function spaces
In mathematics, an integral transform is a type of transformation that maps a function from its original function space into another function space via
Integral_transform
Integral transform closely related to the Fourier transform
of the transform, the discrete Hartley transform (DHT), was introduced by Ronald N. Bracewell in 1983. The two-dimensional Hartley transform can be computed
Hartley_transform
Kelvin transform f* of f with respect to the sphere S(0, R) is f ∗ ( x ∗ ) = | x | n − 2 R 2 n − 4 f ( x ) = 1 | x ∗ | n − 2 f ( x ) = 1 | x ∗ | n − 2 f
Kelvin_transform
Signal processing operation
bilinear transform (also known as Tustin's method, after Arnold Tustin) is used in digital signal processing and discrete-time control theory to transform continuous-time
Bilinear_transform
Divide-and-conquer algorithm to compute a Hadamard transform
Walsh–Hadamard transform (FWHTh) is an efficient algorithm to compute the Walsh–Hadamard transform (WHT). A naive implementation of the WHT of order n = 2 m {\displaystyle
Fast_Walsh–Hadamard_transform
Laplace transform Fourier transform Fractional Fourier Transform Linear canonical transformation Wavelet transform Hankel transform Joukowsky transform Mellin
Transform_theory
transform is an integral transform named after the mathematician Adrien-Marie Legendre, which uses Legendre polynomials P n ( x ) {\displaystyle P_{n}(x)}
Legendre transform (integral transform)
Legendre_transform_(integral_transform)
In mathematics, a type of conformal map
In applied mathematics, the Joukowsky transform (sometimes transliterated Joukovsky, Joukowski or Zhukovsky) is a conformal map historically used to understand
Joukowsky_transform
Integral transform generalizing both Laplace and Sumudu transforms
mathematics, the Shehu transform is an integral transform which generalizes both the Laplace transform and the Sumudu integral transform. It was introduced
Shehu_transform
Transform in numerical harmonic analysis
discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled. As with other wavelet transforms, a key advantage
Discrete_wavelet_transform
{p_{m}}{N}}\sum _{n=0}^{N-1}u(x_{n})(-1)^{m}\cos {\frac {m{\bigl (}n+{\tfrac {1}{2}}{\bigr )}\pi }{N}}.\end{aligned}}} The inverse transform is u n = ∑ m
Discrete_Chebyshev_transform
Integral transform used in various branches of mathematics
In mathematics, the Abel transform, named for Niels Henrik Abel, is an integral transform often used in the analysis of spherically symmetric or axially
Abel_transform
Integral transform
geometry, the Funk transform (also known as Minkowski–Funk transform, Funk–Radon transform or spherical Radon transform) is an integral transform defined by integrating
Funk_transform
Mathematical analysis of frequency content of signals
Fourier transform (FT) can be computed as follows: F ( w 1 , w 2 , … , w m ) = ∑ n 1 = − ∞ ∞ ∑ n 2 = − ∞ ∞ ⋯ ∑ n m = − ∞ ∞ f ( n 1 , n 2 , … , n m ) e −
Multidimensional_transform
Mathematical operation
as the Fourier transform to the nth power, where n need not be an integer – thus, it can transform a function to any intermediate domain between time
Fractional_Fourier_transform
"Smoothing" integral transform
if H n {\displaystyle H_{n}} denotes the (physicist's) Hermite polynomial of degree n {\displaystyle n} , then the Weierstrass transform of H n ( x /
Weierstrass_transform
Stirling transform of a sequence { an : n = 1, 2, 3, ... } of numbers is the sequence { bn : n = 1, 2, 3, ... } given by b n = ∑ k = 1 n { n k } a k {\displaystyle
Stirling_transform
N − 1 2 ≤ n ≤ N − 1 2 } , {\displaystyle \left\{-{\tfrac {N-1}{2}}\leq n\leq {\tfrac {N-1}{2}}\right\},} which he calls the finite Fourier transform data
Finite_Fourier_transform
transform with negative parameter: E−1 h = E−h Mean move The effect of the Esscher transform on the normal distribution is moving the mean: E h ( N (
Esscher_transform
Procedure in computing
Extract, transform, load (ETL) is a three-phase computing process where data is extracted from an input source, transformed (including cleaning), and loaded
Extract,_transform,_load
Family of functions to transform data
In statistics, a power transform is a family of functions applied to create a monotonic transformation of data using power functions. It is a data transformation
Power_transform
Mathematical operation
Cayley transform, named after Arthur Cayley, is any of a cluster of related things. As originally described by Cayley (1846), the Cayley transform is a
Cayley_transform
Programming idiom for efficiently sorting a list by a computed key
In computer programming, the Schwartzian transform is a technique used to improve the efficiency of sorting a list of items. This idiom is appropriate
Schwartzian_transform
The IRCCyN laboratory - UMR CNRS 6597 in Nantes, France has been developing it since 1994. The first characteristic of the Mojette transform is using
Mojette_transform
Method of detecting shapes within images
The Hough transform (/hʌf/) is a feature extraction technique used in image analysis, computer vision, pattern recognition, and digital image processing
Hough_transform
introduced by R. Scott Kemp and Ruaridh Macdonald in 2016. The transform allows the structure of a N-dimensional inhomogeneous object to be reconstructed from
K-transform
Generalisation of Fourier transform to any ring
Fourier transform maps an n-tuple ( v 0 , … , v n − 1 ) {\displaystyle (v_{0},\ldots ,v_{n-1})} of elements of R to another n-tuple ( f 0 , … , f n − 1 )
Discrete Fourier transform over a ring
Discrete_Fourier_transform_over_a_ring
Type of singular integral operator
mathematical theory of harmonic analysis, the Riesz transforms are a family of generalizations of the Hilbert transform to Euclidean spaces of dimension d > 1. They
Riesz_transform
Transform in signal processing
chirplet transform is an inner product of an input signal with a family of analysis primitives called chirplets. Similar to the wavelet transform, chirplets
Chirplet_transform
transforms include: Two-sided Laplace transform Mellin transform, another closely related integral transform Laplace transform: the Fourier transform
List of Fourier-related transforms
List_of_Fourier-related_transforms
Fourier-related mathematical transform
discrete Hartley transform (DHT) is a Fourier-related transform of discrete, periodic data similar to the discrete Fourier transform (DFT), with analogous
Discrete_Hartley_transform
Derived representation of a digital image
A distance transform, also known as distance map or distance field, is a derived representation of a digital image. The choice of the term depends on
Distance_transform
Mathematical algorithm
a = ( a − N , … , a 0 , … , a N ) {\displaystyle a=(a_{-N},\dots ,a_{0},\dots ,a_{N})} or, as Z-transform, a ( z ) = ∑ n = − N N a n z − n {\displaystyle
Fast_wavelet_transform
Concept in applied mathematics
discrete Fourier transform (NUDFT) transforms a sequence of N {\displaystyle N} complex numbers x 0 , … , x N − 1 {\displaystyle x_{0},\ldots ,x_{N-1}} into another
Non-uniform discrete Fourier transform
Non-uniform_discrete_Fourier_transform
Laplace–Stieltjes transform, named for Pierre-Simon Laplace and Thomas Joannes Stieltjes, is an integral transform similar to the Laplace transform. For real-valued
Laplace–Stieltjes_transform
Mathematical optimization problem
observations, A {\displaystyle A} is an M × N {\displaystyle M\times N} transform matrix and M < N {\displaystyle M<N} . This is an instance of convex optimization
Basis_pursuit_denoising
then all the properties of the z-transform hold for the advanced z-transform. Z { ∑ k = 1 n c k f k ( t ) } = ∑ k = 1 n c k F k ( z , m ) . {\displaystyle
Advanced_z-transform
Estimation method
The unscented transform (UT) is a mathematical function used to estimate the result of applying a given nonlinear transformation to a probability distribution
Unscented_transform
Probability theory operation
In probability theory, the probability integral transform (also known as universality of the uniform) relates to the result that data values that are
Probability integral transform
Probability_integral_transform
Transform in mathematics
mathematics, the discrete sine transform (DST) is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using a purely real
Discrete_sine_transform
Mathematical transform
In mathematics, the graph Fourier transform is a mathematical transform which eigendecomposes the Laplacian matrix of a graph into eigenvalues and eigenvectors
Graph_Fourier_transform
Mathematical transformation
In mathematics, the Legendre transformation (or Legendre transform), first introduced by Adrien-Marie Legendre in 1787 when studying the minimal surface
Legendre_transformation
Integral transform
In mathematics, the continuous wavelet transform (CWT) is a formal (i.e., non-numerical) tool that provides an overcomplete representation of a signal
Continuous_wavelet_transform
Mathematical integral transform
In mathematics, the Kontorovich–Lebedev transform is an integral transform which uses a Macdonald function (modified Bessel function of the second kind)
Kontorovich–Lebedev_transform
Statistical transform
The Box–Muller transform, by George Edward Pelham Box and Mervin Edgar Muller, is a random number sampling method for generating pairs of independent
Box–Muller_transform
Fast Fourier Transform algorithm
Fourier transform (FFT) algorithm. It re-expresses the discrete Fourier transform (DFT) of an arbitrary composite size N = N 1 N 2 {\displaystyle N=N_{1}N_{2}}
Cooley–Tukey_FFT_algorithm
Mathematical transformation on sequences
0 {\displaystyle \quad k\geq n>0} . Then the transformed sequence is defined by b n = T n , n {\displaystyle b_{n}=T_{n,n}} (for T 2 , 2 {\displaystyle
Boustrophedon_transform
wavelet transform (SWT) is a wavelet transform algorithm designed to overcome the lack of translation-invariance of the discrete wavelet transform (DWT)
Stationary_wavelet_transform
Algorithm used in data compression
The Burrows–Wheeler transform (BWT) rearranges a character string into runs of similar characters, in a manner that can be reversed to recover the original
Burrows–Wheeler_transform
theoretical physics, the Penrose transform, introduced by Roger Penrose (1967, 1968, 1969), is a complex analogue of the Radon transform that relates massless fields
Penrose_transform
Mapping between functions in the quantum phase space
In quantum mechanics, the Wigner–Weyl transform or Weyl–Wigner transform (after Hermann Weyl and Eugene Wigner) is the invertible mapping between functions
Wigner–Weyl_transform
lengths, each of n bits. To compute the transform for Twofish algorithm, a' and b', from these we use the equations: a ′ = a + b ( mod 2 n ) {\displaystyle
Pseudo-Hadamard_transform
Signal analysis tool
The Hilbert–Huang transform (HHT) is a way to decompose a signal into so-called intrinsic mode functions (IMF) along with a trend, and obtain instantaneous
Hilbert–Huang_transform
Technique to analyze the infrared spectrum of matter
Fourier transform infrared spectroscopy (FTIR) is a technique used to obtain an infrared spectrum of absorption or emission of a solid, liquid, or gaseous
Fourier-transform infrared spectroscopy
Fourier-transform_infrared_spectroscopy
Optimization problem
where x is a N-dimensional solution vector (signal), y is a M-dimensional vector of observations (measurements), A is a M × N transform matrix (usually
Basis_pursuit
Decomposition of periodic functions
n ∠ φ n = a n + i b n {\displaystyle A_{n}\angle \varphi _{n}=a_{n}+ib_{n}} where A n = a n 2 + b n 2 and φ n = atan2 ( b n , a n ) = − Arg ( c n
Fourier_series
The normal distributions transform (NDT) is a point cloud registration algorithm introduced by Peter Biber and Wolfgang Straßer in 2003, while working
Normal distributions transform
Normal_distributions_transform
Integral expressing the amount of overlap of one function as it is shifted over another
Nagornov, N. N.; Semyonova, N. F.; Abdulsalyamova, A. S. (June 2023). "Reducing the Computational Complexity of Image Processing Using Wavelet Transform Based
Convolution
Generalization of the discrete Fourier transform
Fourier transform on finite groups is a generalization of the discrete Fourier transform from cyclic to arbitrary finite groups. The Fourier transform of a
Fourier transform on finite groups
Fourier_transform_on_finite_groups
Mathematical transform using in signal processing
The modified discrete cosine transform (MDCT) is a transform based on the type-IV discrete cosine transform (DCT-IV), with the additional property of being
Modified discrete cosine transform
Modified_discrete_cosine_transform
applied mathematics, the starred transform, or star transform, is a discrete-time variation of the Laplace transform, so-named because of the asterisk
Starred_transform
Method for solving linear differential equations using the Laplace transform
the Laplace transform is a powerful integral transform used to switch a function from the time domain to the s-domain. The Laplace transform can be used
Laplace transform applied to differential equations
Laplace_transform_applied_to_differential_equations
Statistical transformation
of r is well approximated by 1/N as long as |ρ| is not too large and N is not too small. The behavior of this transform has been extensively studied since
Fisher_transformation
is a list of Laplace transforms for many common functions of a single variable. The Laplace transform is an integral transform that takes a function
List_of_Laplace_transforms
Technique in electrical circuit analysis
In circuit design, the Y-Δ transform, also written wye-delta and also known by many other names, is a mathematical technique to simplify the analysis
Y-Δ_transform
Theorem in mathematics
reconstruction by Shuang-ren Zhao in 1995. Radon transform § Relationship with the Fourier transform Bracewell, Ronald N. (1956). "Strip integration in radio astronomy"
Projection-slice_theorem
Equation in Fourier analysis
transform. Consequently, the periodic summation of a function is completely defined by discrete samples of the original function's Fourier transform.
Poisson_summation_formula
transform lies on is known as the unit surface or unit bicircle. The 2D Z-transform is defined by X z ( z 1 , z 2 ) = ∑ n 1 = 0 ∞ ∑ n 2 = 0 ∞ x ( n 1
2D_Z-transform
Basic method for pseudo-random number sampling
Inverse transform sampling (also known as inversion sampling, the inverse probability integral transform, the inverse transformation method, or the Smirnov
Inverse_transform_sampling
Mathematical operation
Laplace transforms are closely related to the Fourier transform, the Mellin transform, the Z-transform and the ordinary or one-sided Laplace transform. If
Two-sided_Laplace_transform
the complex field, a discrete Fourier transform of a sequence { f i } 0 N − 1 {\displaystyle \{f_{i}\}_{0}^{N-1}} over a finite field G F ( p m ) {\displaystyle
Cyclotomic fast Fourier transform
Cyclotomic_fast_Fourier_transform
Theorem bounding the growth rate of analytic functions
integral transforms. For example, the generalized Borel transform is given by F ( w ) = ∑ n = 0 ∞ f n Ψ n w n + 1 . {\displaystyle F(w)=\sum _{n=0}^{\infty
Nachbin's_theorem
N TRANSFORM
N TRANSFORM
Male
Vietnamese
Vietnamese name THUÃN means "tamed."
Male
Gaelic
Gaelic byname DUIBHÃN means "little black one."
Female
Spanish
Spanish name ENCARNACIÓN means "incarnation."
Male
Hungarian
Hungarian name, possibly ZOLTÃN means "sultan."Â
Male
Vietnamese
Vietnamese name VÄ‚N means "cloud" or "male."
Male
Spanish
Spanish form of Latin Salomon, SALOMÓN means "peaceable."
Male
Spanish
Spanish form of Latin Romanus, ROMÃN means "Roman."
Male
Irish
Variant spelling of Irish Cathán, CADÃN means "little battle."
Female
Irish
Irish Gaelic name CAILÃN means "girl."
Male
Irish
Variant spelling of Irish Lorccán, LORCÃN means "little fierce one."
Female
Spanish
Spanish name ASCENCIÓN means "ascension."
Male
Spanish
Spanish form of Hebrew Shimown, SIMÓN means "hearkening."
Male
Irish
Irish Gaelic name ULTÃN means "of Ulster."
Surname or Lastname
Spanish (Truán)
Spanish (Truán) : nickname from truhán ‘knave’, ‘joker’.English (Cornwall) : unexplained; possibly a variant spelling of Trewin.
Male
Irish
Variant spelling of Irish Gaelic Tighearnán, TIGERNÃN means "little lord."
Male
Irish
Old Irish Gaelic name BRADÃN means "salmon."
Male
Irish
Variant spelling of Irish Gaelic Lomán, LOMMÃN means "little bare one."Â
Male
Irish
Irish name ABBÃN means "little abbot."
Male
Hebrew
Tiberian form of Hebrew Qeynan, QÊNĀN means "possession."
Female
Spanish
Spanish religious name VISITACIÓN means "visitation."
N TRANSFORM
N TRANSFORM
Boy/Male
Afghan, Arabic, Hindu, Indian, Marathi, Muslim, Urdu
Skilled; Expert
Girl/Female
Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
One who has a Pure Smile
Female
English
English variant form of French Caroline, KAROLYN means "man."
Female
English
English diminutive form of Welsh Lyn ("lake"), LYNETTE means "little lake." In Arthurian legend, this is the name of the sister of Lyonesse.Â
Female
Hebrew
(דּï‹×¨Ö´×™×ª) Hebrew name DORIT means "generation" or "period of time."
Girl/Female
Indian
Great Goddess
Surname or Lastname
Dutch
Dutch : from the personal name Hansel or Ansel, a pet form of Anselm (see Anselmo).English : probably of Dutch origin (see 1).German (also Hänsel) : from a pet form of the personal name Hans.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Indra
Boy/Male
Hindu, Indian, Tamil
Moon; Beautiful; Beloved One
Boy/Male
Welsh
Legendary son of Caw.
N TRANSFORM
N TRANSFORM
N TRANSFORM
N TRANSFORM
N TRANSFORM
n.
See Nomad, n.
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See Lecher, n.
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See Hyp, n.
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See Keeve, n.
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See Keeve, n.
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See Invalid, n.
n.
A measure of space equal to half an M (or em); an en.
n.
Offset, n., 4.
n.
See Solar, n.
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See Daw, n.
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See Mad, n.
n.
See Elective, n.
n.
See Vanquish, n.
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See Kilt, n.
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See Intendant, n.
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See Stour, n.
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See Lodge, n.
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See Jetty, n.
n.
See Merrymake, n.