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Function in discrete mathematics
In mathematics, the discrete Fourier transform (DFT) is a discrete version of the Fourier transform that converts a finite sequence of numbers into another
Discrete_Fourier_transform
Topics referred to by the same term
Look up DFT in Wiktionary, the free dictionary. DFT may refer to: Department for Transport, United Kingdom Digital Film Technology, maker of the Spirit
DFT
UK state-owned rail holding company
DfT Operator Limited (DFTO) is a British state-owned holding company established in 2018 as DfT OLR Holdings Limited by the Department for Transport (DfT)
DfT_Operator
Topics referred to by the same term
DFTS may refer to: Durand Football Tournament Society Defence Fixed Telecommunications Service Devil facial tumours Discrete Fourier transforms DFT (disambiguation)
DFTS
Discrete Fourier transform algorithm
transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT), or its inverse (IDFT), of a sequence. A Fourier transform converts a signal
Fast_Fourier_transform
Discrete fourier transform expressed as a matrix
In applied mathematics, a DFT matrix is a square matrix as an expression of a discrete Fourier transform (DFT) as a transformation matrix, which can be
DFT_matrix
IC design techniques that include testability features
Design for testing or design for testability (DFT) consists of integrated circuit design techniques that add testability features to a hardware product
Design_for_testing
Ministerial department of the UK Government
The Department for Transport (DfT) is a ministerial department of the Government of the United Kingdom. It is wholly responsible for overseeing the transport
Department_for_Transport
Computational quantum mechanical modelling method to investigate electronic structure
Density functional theory (DFT) is a computational quantum mechanical modeling method used in physics, chemistry and materials science to investigate
Density_functional_theory
Fast Fourier Transform algorithm
Cooley–Tukey algorithm breaks the DFT into smaller DFTs, it can be combined arbitrarily with any other algorithm for the DFT. For example, Rader's or Bluestein's
Cooley–Tukey_FFT_algorithm
Branch of mathematics
variant, the DFT, is used only in the case where the input function is discrete in its domain and limited to a finite region of support. The DFT is the only
Fourier_analysis
Quantum-mechanical framework for simulating molecules and solids
photoabsorption spectra. TDDFT is an extension of density-functional theory (DFT), and the conceptual and computational foundations are analogous – to show
Time-dependent density functional theory
Time-dependent_density_functional_theory
Technique used in signal processing and data compression
sequence whereas DFTs are related to Fourier series coefficients of only periodically extended sequences. DCTs are equivalent to DFTs of roughly twice
Discrete_cosine_transform
Recursive algorithm in applied mathematics
for the sliding DFT is closely related to Goertzel algorithm.[citation needed] Assuming that the hopsize between two consecutive DFTs is 1 sample, then
Sliding_DFT
Effect in signal processing
applying a window function and then a discrete Fourier transform (DFT). But the DFT provides only a sparse sampling of the actual discrete-time Fourier
Spectral_leakage
Technique in digital signal processing
efficient evaluation of the individual terms of the discrete Fourier transform (DFT). It is useful in certain practical applications, such as recognition of
Goertzel_algorithm
Fourier analysis technique applied to sequences
samples of it can be readily calculated via the discrete Fourier transform (DFT) (see § Sampling the DTFT), which is by far the most common method of modern
Discrete-time Fourier transform
Discrete-time_Fourier_transform
Motion picture film scanner
Spirit DataCine can output DPX data files. The Spirit DataCine is made by DFT Digital Film Technology GmbH in Darmstadt, Germany. The operator of the unit
Spirit_DataCine
English privacy case
DFT v TFD [2010] EWHC 2335 (QB) is an English privacy case which concerned an attempt by a woman to blackmail an individual by revealing details of a
DFT_v_TFD
Frequency-division multiple access scheme
a linearly precoded OFDMA scheme, in the sense that it has an additional DFT processing step preceding the conventional OFDMA processing. SC-FDMA has
Single-carrier_FDMA
Generalisation of Fourier transform to any ring
Fourier transform over a ring generalizes the discrete Fourier transform (DFT), of a function whose values are commonly complex numbers, over an arbitrary
Discrete Fourier transform over a ring
Discrete_Fourier_transform_over_a_ring
Mathematical algorithm
Z-transform (CZT) is a generalization of the discrete Fourier transform (DFT). While the DFT samples the Z plane at uniformly-spaced points along the unit circle
Chirp_Z-transform
Class of 30 diesel-electric locomotives
and 1981. Between 1992 and 1997, all the locomotives were rebuilt as the DFT class, a turbocharged version of the DF. The class should not be confused
New Zealand DF class locomotive (1979)
New_Zealand_DF_class_locomotive_(1979)
Mathematical analysis of frequency content of signals
discrete Fourier transform (DFT) and its inverse. An FFT computes the DFT and produces exactly the same result as evaluating the DFT definition directly; the
Multidimensional_transform
Strategy for business processes
flow technology (DFT) is a strategy for defining and deploying business processes in a flow, driven in response to customer demand. DFT is based on a set
Demand_flow_technology
Computation process in mathematical algorithms
results of smaller discrete Fourier transforms (DFTs) into a larger DFT, or vice versa (breaking a larger DFT up into subtransforms). The name "butterfly"
Butterfly_diagram
Physics and chemistry software
BigDFT is a free software package for physicists and chemists, distributed under the GNU General Public License, whose main program allows the total energy
BigDFT
Physical property that measures stiffness of material
inverse quantity is referred to as elastic modulus. Density functional theory (DFT) provides reliable methods for determining several forms of elastic moduli
Elastic_modulus
Mathematical function used in signal processing
n ] , 0 ≤ n ≤ N − 1 } {\displaystyle \{w[n],\ 0\leq n\leq N-1\}} is a DFT-even (aka periodic) Hann window. Since the truncated sample has value zero
Hann_function
Planned British state-owned rail transport operator
and signalling), the Rail Delivery Group, the DfT Operator, parts of the Department for Transport (DfT), and each of the passenger service franchises
Great_British_Railways
Method in physics
method (LAPW) is an implementation of Kohn-Sham density functional theory (DFT) adapted to the simulation of a wide range of properties of periodic materials
Linearized augmented-plane-wave method
Linearized_augmented-plane-wave_method
Discrete Fourier transform for prime sizes
algorithm that computes the discrete Fourier transform (DFT) of prime sizes by re-expressing the DFT as a cyclic convolution (the other algorithm for FFTs
Rader's_FFT_algorithm
Fast Fourier Transform algorithm
that re-expresses the discrete Fourier transform (DFT) of a size N = N1N2 as a two-dimensional N1 × N2 DFT, but only for the case where N1 and N2 are relatively
Prime-factor_FFT_algorithm
Transform in mathematics
the discrete Fourier transform (DFT), but using a purely real matrix. It is equivalent to the imaginary parts of a DFT of roughly twice the length, operating
Discrete_sine_transform
Involutive change of basis in linear algebra
built out of size-2 discrete Fourier transforms (DFTs), and is in fact equivalent to a multidimensional DFT of size 2 × 2 × ⋯ × 2 × 2. It decomposes an arbitrary
Hadamard_transform
American computer scientist
Jacob Savir is a professor in the Department of Electrical and Computer Engineering at the New Jersey Institute of Technology and an IEEE Fellow. He is
Jacob_Savir
Fourier transform (FFT) routines to compute the discrete Fourier transform (DFT) of images captured with hexagonal sampling. Hexagonal sampling's application
Hexagonal fast Fourier transform
Hexagonal_fast_Fourier_transform
Theoretical formalism in condensed matter physics
theory (SCE DFT) approach, originally proposed by Michael Seidl in 1999, is a formulation of density functional theory (DFT), alternative to the DFT approach
Strictly-correlated-electrons density functional theory
Strictly-correlated-electrons_density_functional_theory
Fourier transforms for calculating 2-D or higher dimensional DFTs as well Source: The DFT sum X ( k 1 , k 2 ) {\displaystyle X\left(k_{1},k_{2}\right)}
Fast Algorithms for Multidimensional Signals
Fast_Algorithms_for_Multidimensional_Signals
post-Hartree–Fock methods. They may also include density functional theory (DFT), molecular mechanics or semi-empirical quantum chemistry methods. The programs
List of quantum chemistry and solid-state physics software
List_of_quantum_chemistry_and_solid-state_physics_software
Software for condensed matter physics
density functional theory (DFT), but the code also allows use of post-DFT corrections such as hybrid functionals mixing DFT and Hartree–Fock exchange (e
Vienna Ab initio Simulation Package
Vienna_Ab_initio_Simulation_Package
Family of block-oriented display terminals and printers made by IBM
controller through a poll, is translated by the controller into EBCDIC. For DFT (Distributed Function Terminal) type displays, most of the 3270 data stream
IBM_3270
American chemistry researcher
PBE0 hybrid functional, which combines DFT with Hartree-Fock theory. Thermal DFT: Advanced the understanding of DFT under thermal conditions, which is crucial
Kieron_Burke
Describes the range of energies of an electron within the solid
well reproduced by DFT. But there are also systematic errors in DFT bands when compared to experiment results. In particular, DFT seems to systematically
Electronic_band_structure
UK vehicle class
due to the problems of enforcement of any such restriction. In 2006, the DfT initiated a desk based research project into the potential use of LHVs. The
Longer_Heavier_Vehicle
High-speed rail project in England
June 2013. Retrieved 21 January 2012. DfT 2009, p. 4 para. 5. DfT 2009, p. 17 para. 41. DfT 2009, p. 18 para. 43. DfT 2009, p. 16 para. 36. Sholli, Sam (31
High_Speed_2
Character and series created by Tom of Finland
comic was originally commissioned by the Danish pornography publishing house DFT in the late 1960s. It was Laaksonen's first comic to be sold as individual
Kake_(comics)
Mathematical transform that expresses a function of time as a function of frequency
discrete-time Fourier transform (DTFT, group = Z), the discrete Fourier transform (DFT, group = Z mod N) and the Fourier series or circular Fourier transform (group
Fourier_transform
British state-owned train operating company
inter-city routes in the North of England. It is owned by DfT Operator for the Department for Transport (DfT), after the previous operator Arriva Rail North had
Northern_Trains
Cycling team
Fengsheng Sports DFT Team is an Iranian UCI Continental cycling team established in 2018. ProCyclingStats. "DFT Cycling team 2018". procyclingstats.com
DFT_Team
Fast Fourier transform algorithm
transform (FFT) algorithm for computing the discrete Fourier transform (DFT), and was first described in an initially little-appreciated paper by R.
Split-radix_FFT_algorithm
Train operating company in the United Kingdom
CrossCountry franchise was restructured by the Department for Transport (DfT) in 2006, incorporating elements of both the Central Trains and the Virgin
CrossCountry
Theorem in mathematics
{\displaystyle 1/N} and performing an inverse discrete Fourier transform (DFT) on N {\displaystyle N} samples (see § Sampling the DTFT). The discrete convolution:
Convolution_theorem
values are coefficients of a discrete Fourier transform (DFT) matrix. Each row or column of the DFT matrix provides an orthogonal CI spreading code which
Carrier_interferometry
Generalization of the discrete Fourier transform
A^{*}\rho (g)A^{*-1}} . To obtain the unitary DFT, note that as defined above D F T . D F T ∗ = S {\displaystyle DFT.DFT^{*}=S} , where S {\displaystyle S} is
Fourier transform on finite groups
Fourier_transform_on_finite_groups
Method in signal processing
above) H = DFT(h, N) position = 0 y(1 : Nx + M-1) = 0 while position + step_size ≤ Nx do y(position+(1:N)) = y(position+(1:N)) + IDFT(DFT(x(position+(1:step_size))
Overlap–add_method
DfT Operator Limited. 12 October 2025. DFTO handover date announced for Chiltern Railways Rail 12 March 2026 Dates operators will transfer to DfT Rail
List of companies operating trains in the United Kingdom
List_of_companies_operating_trains_in_the_United_Kingdom
Function used in signal processing
(DTFT) such as the DFTs in Fig 2 only reveals the leakage into the DFT bins from a sinusoid whose frequency is also an integer DFT bin. The unseen sidelobes
Window_function
Design for testing technique for integrated circuits
Scan chain is a technique used in design for testing (DFT). The objective is to make testing easier by providing a simple way to set and observe every
Scan_chain
Multidimensional fast Fourier transform algorithm
(MD) discrete Fourier transform (DFT) down into successively smaller MD DFTs until, ultimately, only trivial MD DFTs need to be evaluated. The most common
Vector-radix_FFT_algorithm
Digital processing technique
Expressing the 2D-DFT in the above form allows us to see that we can compute a 2D DFT by decomposing it into row and column DFTs. The DFT of each column
Parallel multidimensional digital signal processing
Parallel_multidimensional_digital_signal_processing
Software for quantum chemistry methods
functional theory (DFT), plane wave basis sets, and pseudopotentials (both norm-conserving and ultrasoft). The core plane wave DFT functions of QE are
Quantum_ESPRESSO
New Zealand chemist (born 1962)
computational chemist known for his contribution to density functional theory (DFT). He is an early and main contributor to the computational chemistry software
Peter_Gill_(chemist)
first-principles electronic structure calculations using density functional theory (DFT). ADF was first developed in the early seventies by the group of E. J. Baerends
Amsterdam_Density_Functional
British state-owned train operating company
July 2025, c2c services were taken over by the government-owned company DfT Operator. c2c operates passenger services on the London, Tilbury and Southend
C2c
British state-owned train operating company
royal assent in November 2024. In July 2025, the government announced that DfT Operator would take over responsibility for passenger services from Transport
West_Midlands_Trains
Polish scientist and entrepreneur (born 1972)
Effects of substitution of hydroxyl group by fluorine atom - ab initio and DFT studies (under the supervision of Rychlewski), rewarded with the first prize
Marcin_Hoffmann
Software used for simulations and modeling in materials science
Software Description License ABINIT Plane-wave DFT and pseudopotential code Open-source CASTEP Plane-wave DFT code for materials modeling Commercial CP2K
List of computational materials science software
List_of_computational_materials_science_software
Approximations in density functional theory
the exchange–correlation energy functional in density functional theory (DFT) that incorporate a portion of exact exchange from Hartree–Fock theory with
Hybrid_functionals
which can be computed as a DFT of one cycle of the input sequence. The number of discrete values in one cycle of the DFT is the same as in one cycle
List of Fourier-related transforms
List_of_Fourier-related_transforms
to be self-consistent, as explained below. In density functional theory (DFT) calculations of electronic energies of materials, the eigenvalue equation
Rayleigh theorem for eigenvalues
Rayleigh_theorem_for_eigenvalues
British state-owned train operating company
and towns of Northern England and Scotland. The company, which is owned by DfT Operator, has been the holder of the TransPennine Express franchise since
TransPennine_Express
Former state holding company for UK railways
Ltd. (DOR) was a holding company set up by the Department for Transport (DfT) in the United Kingdom in July 2009 to operate rail franchises should it
Directly_Operated_Railways
Fast Fourier transform algorithm
proposed as a way to efficiently compute the discrete Fourier transform (DFT) of real data. Bruun's algorithm has not seen widespread use, however, as
Bruun's_FFT_algorithm
Defibrillation threshold (DFT) indicates the minimum amount of energy needed to return normal rhythm to a heart that is beating in a cardiac dysrhythmia
Defibrillation_threshold
Method in signal processing
by replacing DFT N ( h [ n ] ) {\displaystyle \scriptstyle {\text{DFT}}_{N}\displaystyle (h[n])} with DFT N ( h [ n + M − 1 ] ) = DFT N ( h [ n + M
Overlap–save_method
British train operating company
electric multiple units. In November 2016, the Department for Transport (DfT) announced that the InterCity West Coast franchise, which was held by Virgin
Avanti_West_Coast
Final of the 134th edition of the Durand Cup
The tournament was organised by the Durand Football Tournament Society (DFTS) in co-operation with the AIFF, Eastern Command of the Indian Armed Forces
2025_Durand_Cup_final
Fourier-related mathematical transform
discrete Fourier transform (DFT), with analogous applications in signal processing and related fields. Its main distinction from the DFT is that it transforms
Discrete_Hartley_transform
emerging from the electronics of the material. Density functional theory (DFT) analyses predicted an indirect band gap of 0.158 eV in the β-Bi4I4 phase
Bismuth_subhalides
Using graphics processing units for molecular simulations
GPU AutoDock – Molecular docking BigDFT Ab initio program based on wavelet BrianQC Quantum chemistry (HF and DFT) and molecular mechanics Blaze ligand-based
Molecular_modeling_on_GPUs
Type of filter in signal processing
Equiripple FIR filters can be designed using the DFT algorithms as well. The algorithm is iterative in nature. The DFT of an initial filter design is computed
Finite_impulse_response
Canadian quantum chemist (born 1953)
was a leading researcher in the application of density functional theory (DFT) to molecules. Becke was born in Esslingen, Germany. He graduated with a
Axel_D._Becke
Mathematical operation in signal processing
the DFT. The premise behind circular convolution is to take the DFTs of the input signals, multiply them together, and then take the inverse DFT. Care
Multidimensional discrete convolution
Multidimensional_discrete_convolution
Simplified model in condensed matter physics
based simulations using density functional theory (DFT). The inclusion of the Hubbard term in DFT simulations is important as this improves the prediction
Hubbard_model
Football competition in India
Krirangan Kishore Bharati Krirangan Source: DFTS Rules for classification: Group stage tiebreakers (H) Hosts Source: DFTS Rules for classification: Group stage
2025_Durand_Cup
Binomial transform Discrete Fourier transform, DFT Fast Fourier transform, a popular implementation of the DFT Discrete cosine transform Modified discrete
List_of_transforms
Planned railway station in London
following table illustrates the planned range of services, based on current DfT documentation on the station, additional proposed serves are described in
Old Oak Common railway station
Old_Oak_Common_railway_station
Microcode in x86 Intel processors
microcode updates for processor debugging under its design for testing (DFT) initiative. Following the Pentium FDIV bug, the patchable microcode function
Intel_microcode
Computational chemistry software package
calculations, such as Hartree–Fock, density functional theory (DFT) including time-dependent DFT (TDDFT), Møller–Plesset perturbation theory (MP2), coupled
Q-Chem
Array of antennas creating a steerable beam
are processed using a DFT. The DFT introduces multiple different discrete phase shifts during processing. The outputs of the DFT are individual channels
Phased_array
Theorem in mathematics
] {\displaystyle X[k]} is the DFT of x [ n ] {\displaystyle x[n]} , both of length N {\displaystyle N} . We show the DFT case below. For the other cases
Parseval's_theorem
films, and surfaces. It implements Kohn-Sham density functional theory (DFT) in terms of the all-electron full-potential linearized augmented-plane-wave
FLEUR
British state-owned train operating company
services on the East Coast Main Line. It is owned by DfT Operator for the Department for Transport (DfT). The company's name echoes that of the London and
London_North_Eastern_Railway
2001 rail crash in North Yorkshire, England
on 23 February 2025. Retrieved 23 March 2025. DfT 2003, p. 17. RAIB 2014, p. 14. DfT 2003, p. 26. DfT 2003, p. 65. RAIB 2014, p. 7. RAIB 2014, p. 17
Selby_rail_crash
German television company
2012 Precision Mechatronics and DFT were acquired by Prasad Group, part of Prasad Studios (2012-2024). In 2013 DFT moved from Weiterstadt to Arheilgen-Darmstadt
Fernseh
Reaction in organic chemistry
The reaction is of some theoretical interest, as kinetic measurements and DFT studies have indicated that the addition occurs in one step, without the
Nef_isocyanide_reaction
Branch of chemistry
simulate molecules or chemical environments. Density functional theory (DFT) methods are often considered to be ab initio methods for determining the
Computational_chemistry
|S[k]|^{2}=|A[k]|^{2}+|T[k]|^{2}+|C[k]|^{2}+|G[k]|^{2}} derived from the DFT's of the four binary signals representing a DNA protein coding region of length
3-Base_Periodicity_Property
Topics referred to by the same term
Spen) condemned under the 1951 County Development Plan. Category D stations (DfT) This disambiguation page lists articles associated with the title Category
Category_D
DFT
DFT
DFT
DFT
Girl/Female
American, Arabic
Joyful or Happy; Woman
Boy/Male
Australian, Latin, Welsh
Full of Sorrows; Tumult; Outcry; From the Celtic Name Tristan
Female
English
Variant spelling of English Bethany, BETHNEY means "house of dates" or "house of misery."
Girl/Female
Indian, Punjabi, Sikh
Excellent; Abundant
Boy/Male
German American
Abbreviation of Adolphus noble wolf.
Surname or Lastname
English
English : habitational name from Buckminster in Leicestershire, named with the Old English personal name Bucca (see Buck) + Old English mynster ‘minster’, ‘large church’.
Boy/Male
Hindu
Protector in kaliyug
Boy/Male
Muslim
Shield
Girl/Female
Indian
Boy/Male
Arabic, Muslim
A Prophets Name (Zakaria)
DFT
DFT
DFT
DFT
DFT