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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
British state-owned train operating company
towns of Northern England and Scotland. The company, which is owned by DfT Operator, has been the holder of the TransPennine Express franchise since May
TransPennine_Express
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
British state-owned train operating company
over the services of privately-owned operator Govia Thameslink Railway on 31 May 2026. It is owned by DfT Operator for the Department for Transport. The
Greater_Thameslink_Railway
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
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
British state-owned train operating company
Trenitalia-owned operator c2c would not be renewed when it expired. On 20 July 2025, c2c services were taken over by the government-owned company DfT Operator. c2c
C2c
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
Companies operating National Rail passenger services in Great Britain
Transport (DfT) through a tendering system, to operate services on certain routes for a specified duration, while a small number of open-access operators hold
Train_operating_company
Outsourcing of rail transport
As of October 2025, ten franchises are in state ownership under the DfT Operator with five more to follow in 2026, as more passenger services are gradually
Passenger rail franchising in Great Britain
Passenger_rail_franchising_in_Great_Britain
Government business that runs a previously private railway franchise
Should that not be possible, the Department for Transport (DfT) in England (through DfT Operator), the Scottish Government (through Scottish Rail Holdings)
Operator_of_last_resort
British state-owned train operating company
the North of England. It is owned by DfT Operator for the Department for Transport (DfT), after the previous operator Arriva Rail North had its franchise
Northern_Trains
British state-owned train operating company
terminated after the Department for Transport activated a break clause, with DfT Operator taking over services on 12 October 2025. In January 2026, Greater Anglia
Greater_Anglia
British railway operator
for Transport announced that Chiltern Railways' contract would end and DfT Operator is scheduled to take over on 20 September 2026. Elgot, Jessica; Topham
Chiltern_Railways_(2026)
United Kingdom statutory corporations
Transport’s holding group, DfT Operator Limited (DFTO), manages seven train operating companies in England under operator of last resort arrangements
State-owned enterprises of the United Kingdom
State-owned_enterprises_of_the_United_Kingdom
British state-owned train operating company
Sussex, including the domestic services on High Speed 1. It is owned by DfT Operator, which took over operating the South Eastern franchise from privately
Southeastern (train operating company)
Southeastern_(train_operating_company)
Department for Transport announced that GWR's contract would end and DfT Operator is scheduled to take over on 13 December 2026. Elgot, Jessica; Topham
Great_Western_Railway_(2026)
British state-owned train operating company
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
Topics referred to by the same term
Doh!!, Japanese sports manga series DfT Operator, formerly DfT OLR Holdings Limited (DOHL), UK government operator of last resort for nationalised rail
Doh
British state-owned train operating company
expired. Consequently, DfT Operator took over operation of the services on 25 May 2025. South Western Railway is the main operator for western Surrey, Hampshire
South_Western_Railway
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
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
Former state holding company for UK railways
under government control with an operator of last resort appointed. In September 2012, with the potential that DfT would not be able to enter into a
Directly_Operated_Railways
British railway management franchise
at which point it was betaken over by DfT Operator before the formal establishment of the state-owned operator Great British Railways, which will operate
Thameslink, Southern and Great Northern franchise
Thameslink,_Southern_and_Great_Northern_franchise
Appointments made by King Charles III
and Innovation Robin William Gisby, Lately Chief Executive Officer, DFT Operator Limited. For services to the Rail Network Louise Elizabeth Glen, Lately
2026_Birthday_Honours
franchised to train operating companies by the Department for Transport (DfT) or, like Eurostar and Heathrow Express, operated on an open-access basis
Transport_in_London
Prospective open-access operator
route". Rail Magazine. No. 559. 14 February 2007. p. 12. "Big changes as Dft Rail redraws Cross Country map". The Railway Magazine. No. 1264. August 2006
Virgin Trains (open-access operator)
Virgin_Trains_(open-access_operator)
Machine learning framework
Neural operators are a class of deep learning architectures designed to learn maps between infinite-dimensional function spaces. Neural operators represent
Neural_operators
Train operating company in South East England
Kingdom railway strikes. The company was renationalised and taken over by DfT Operator when its contract expired on 20 July 2025. At the time of its takeover
C2c_(1996–2025)
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
Algorithmic determination of wave cycle parts
}\quad k=0,1,\ldots ,M-1} , where M > N {\displaystyle M>N} . Since the DFT operator is bijective, this is equivalent to recovering the phase ψ [ k ] {\displaystyle
Phase_retrieval
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
British passenger railway franchise
2023. On 20 July 2025, the service was re-nationalised and is owned by DfT Operator, but continues to operate under the c2c name. Poole, Fiona (8 August
Essex_Thameside
Scottish Government-owned holding company for nationalised rail services
Scotland not served by either rail SRH company. Railway nationalisation DfT Operator "Annual Report and Accounts 2023–24" (PDF). Scottish Rail Holdings. January
Scottish_Rail_Holdings
axes, outwards to infinity in all four directions. This is analogous to the DFT matrix but, in this case, is continuous and infinite in extent. The value
Fourier_operator
payments during 2003 and 2004. Train operator West Midlands Trains is taken into public ownership as part of DFT Operators Ltd. 2 February The Epstein files:
2026_in_the_United_Kingdom
Railway franchise in Great Britain
franchise from VTEC. Services are operated by LNER, which is owned by DfT Operator, a wholly-owned subsidiary of the Department for Transport. At its inception
InterCity_East_Coast
Former British train operating company
operations from the prior operator, London Midland. Passenger services were transferred to state ownership under DfT Operator's West Midlands Trains on
West Midlands Trains (2017–2026)
West_Midlands_Trains_(2017–2026)
Docklands Light Railway and National Rail station in London, England
services were taken over by Southeastern, first ran by Govia and then the DfT Operator. The North Kent line opened on 30 July 1849 by the South Eastern Railway
Lewisham_station
England-wide governance within the United Kingdom
Local Government and Social Care Ombudsman Community Health Partnerships DfT Operator English Institute of Sport Genomics England Highways England NHS Property
Governance_of_England
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
Railway in London, England
National Rail operators under the franchise control of the DfT, TfL sets fares, procures rolling stock and decides service levels. The operator takes only
Elizabeth_line
London suburban rail network
National Rail operators under the franchise control of the DfT, TfL sets fares, procures rolling stock and decides service levels. The operator takes only
London_Overground
Former British train operating company
2015, the Department for Transport (DfT) abandoned efforts to negotiate an extension with the incumbent operator of the South Western franchise, South
South Western Railway (2017–2025)
South_Western_Railway_(2017–2025)
British train operating company owned by Arriva UK Trains
and transferred from the current private operator, Arriva UK Trains, into public ownership under DfT Operator. This transition is part of the UK government's
Chiltern_Railways
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
Theorem in mathematics
convolution. Redefining the F {\displaystyle {\mathcal {F}}} operator as the N {\displaystyle N} -length DFT, the corresponding theorem is: F { u N ∗ v } [ k ]
Convolution_theorem
British state-owned rail transport operator (1948–1997)
respectively. Before wider nationalisation was considered, the DfT Operator was also used as an operator of last resort for companies such as London North Eastern
British_Rail
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
UK railway franchise
Development (which is the 'future operator' for high-speed services). In November 2016, the Department for Transport (DfT) announced that the InterCity West
West_Coast_Partnership
British railway company
Street were to transfer to another operator during the life of the franchise, although following a review by the DfT, this will no longer take place; the
East_Midlands_Railway
British train operating company
parties either being, or partnering with, an existing high-speed operator. In June 2017, the DfT announced that three consortia had been shortlisted to bid
Avanti_West_Coast
Binomial transform Discrete Fourier transform, DFT Fast Fourier transform, a popular implementation of the DFT Discrete cosine transform Modified discrete
List_of_transforms
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
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
Motion picture film scanner
data files. The Spirit DataCine is made by DFT Digital Film Technology GmbH in Darmstadt, Germany. The operator of the unit is called a Colorist or Colorist
Spirit_DataCine
British train operating company
such a transfer never took place and the DfT put out the entire franchise for tender. In August 2008, the DfT shortlisted Govia, National Express, NedRail
Southern (Greater Thameslink Railway)
Southern_(Greater_Thameslink_Railway)
Theorem in quantum mechanics
A similar theorem (Janak's theorem) exists in density functional theory (DFT) for relating the exact first vertical ionization energy and electron affinity
Koopmans'_theorem
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
Former British train operating company
2017, Abellio announced that subject to gaining Department for Transport (DfT) approval, it had agreed to sell a 40% stake in the business to Mitsui. Since
Greater_Anglia_(2012–2025)
Commuter railway line in Essex, England
renationalised and services are now operated by government-owned company DfT Operator, which continues to operate the services as c2c. Until 1855, the ferry
London, Tilbury and Southend line
London,_Tilbury_and_Southend_line
English railway line
Transport activated a break clause, with Greater Anglia (a subsidiary of DfT Operator) taking over services from 12 October 2025. In early 2026 a competition
Ipswich–Ely_line
Railway station in Lambeth, South London, England
in the franchise's development. The DfT Operator took over the franchise in September 2021 after the former operator severely breached its contract, and
Herne_Hill_railway_station
Website
open data format, which can be utilised by app and website developers. This DfT service is called the Bus Open Data Service. The website also provides information
Bustimes.org
Railway station in Suffolk, England
are operated by Greater Anglia, a subsidiary of the government-owned DfT Operator; it operates the following pattern: Platforms were 760 feet (230 m) long
Newmarket railway station (Suffolk)
Newmarket_railway_station_(Suffolk)
UK vehicle class
Vehicle and Operator Services Agency (VOSA), who were expected to prohibit the vehicle from being used. Following the desktop studies, DfT indicated that
Longer_Heavier_Vehicle
Integral transform and linear operator
the discrete Fourier transform (DFT) of a segment of u [ n ] {\displaystyle u[n]} is multiplied pointwise with a DFT of the h ~ [ n ] {\displaystyle {\tilde
Hilbert_transform
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
Former British train operating company
that sees all fare revenues going straight to the Department for Transport (DfT), which in turn pays GTR fixed amounts that add up to £8.9 billion across
Govia_Thameslink_Railway
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
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
Former train operating company in South East England
incumbent operator. The franchise competition was cancelled on 7 August 2019 and the DfT instead took up a further extension and the operator was to run
London & South Eastern Railway
London_&_South_Eastern_Railway
Railway Franchise In the UK
end on 16 October 2021, with operations transferred to the DfT OLR Holdings-owned operator of last resort, Southeastern, which is continuing to operate
South_Eastern_franchise
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
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
Train operator in England
reversed this to have the operator making payments to the government, specifically a £1.3-billion premium which was due to the DfT over a ten-year period
East Coast (train operating company)
East_Coast_(train_operating_company)
Public transport company
the DfT was increased to £51.3 million, with errors dating back to 2006. Go-Ahead also stated that they expect to have to pay a fine to the DfT, setting
Go-Ahead_Group
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
Linear algebra matrix
equivalence is the reason that DFT-based spectral analysis is asymptotically optimal for stationary processes: the DFT diagonalizes circulant matrices
Circulant_matrix
Former rail operator in New Zealand
Limited (New Zealand Rail Limited until October 1995), was the main rail operator in New Zealand from 1991 until it was purchased by Toll Holdings in June
Tranz_Rail
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
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
Former British train operating company
a direct award contract by the DfT running until 28 May 2023. TransPennine Express was one of several train operators impacted by the 2022–2023 United
TransPennine Express (2016–2023)
TransPennine_Express_(2016–2023)
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
Act of the Parliament of the United Kingdom
Open Data Service". www.bus-data.dft.gov.uk. Retrieved 3 May 2022. "Bus operator requirements". publish.bus-data.dft.gov.uk. Retrieved 3 May 2022. "Data
Bus_Services_Act_2017
1997–2019 UK railway franchise
with FirstGroup". The DfT responded, stating that they were confident the selection process was robust. In September 2012, the DfT began making arrangements
InterCity_West_Coast
Square root of the mean square
_{m=1}^{N}\left|X[m]\right|^{2},} where X [ m ] = DFT { x [ n ] } {\displaystyle X[m]=\operatorname {DFT} \{x[n]\}} and N is the sample size, that is, the
Root_mean_square
Topics referred to by the same term
around the unit circle in the complex plane Discrete Fourier transform (DFT), occasionally called the finite Fourier transform, the Fourier transform
Fourier
equation, whereas the spectral domain methods use the powerful forward/inverse DFT algorithms. Spectral domain methods have the advantage of stability even
Beam_propagation_method
Open data initiative in England
transport-network.co.uk. Retrieved 14 May 2022. "Download all data". data.bus-data.dft.gov.uk. Retrieved 5 June 2025. "Find and use bus open data". GOV.UK. 25 November
Bus_Open_Data_Service
снова в пути". Вестник Кавказа (in Russian). Retrieved 2026-05-29. DfT names next operator to be renationalised Railnews 29 September 2025 "1. jūnijā 7. tramvajs
2026_in_rail_transport
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
Railway station in Greater Manchester, England
Platform 2, in 1989 Butt 1995, p. 164 "Northern Franchise Improvements - DfT". Archived from the original on 24 July 2019. Retrieved 7 January 2016. Table
Moston_railway_station
Metrobus system in Bristol, UK
£49.6 million, of which the Department for Transport (DfT) would contribute £34.5 million. DfT would contribute £27.6 million, more than half of the total
MetroBus_(Bristol)
spectrum Discrete Fourier series Non-uniform discrete Fourier transform DFT matrix Entropy influence conjecture Fast cosine transform Fast Fourier transform
List of Fourier analysis topics
List_of_Fourier_analysis_topics
Former British train operating company
extension for up to three years after the sixth year at the discretion of the DfT. It was announced on 5 August 2011 that the franchise would end on 14 September
First_Capital_Connect
British transport operator
East Midlands franchise under contract to the Department for Transport (DfT) Merseyrail (50% shareholding alongside Serco), operates the concession under
Transport_UK_Group
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
Train operating company in Northern England
future of the franchise was first reviewed by the Department for Transport (DfT) in July 2019 deeming frequent weekend cancellations due to insufficient
Arriva_Rail_North
Concept in applied mathematics
spaced points or frequencies (or both). It is a generalization of the shifted DFT. It has important applications in signal processing, magnetic resonance imaging
Non-uniform discrete Fourier transform
Non-uniform_discrete_Fourier_transform
DFT OPERATOR
DFT OPERATOR
Girl/Female
Indian
A dot on the forehead. the one which indian women who put down the same in between two eyebrows, Drop, Point
Girl/Female
Australian
Accomplished
Girl/Female
American, British, Christian, Danish, English, Greek, Irish
Gift of God; Form of Dorothy
Boy/Male
Hindu, Indian
Nice
Girl/Female
Indian
A dot on the forehead. the one which indian women who put down the same in between two eyebrows, Drop, Point
Girl/Female
Tamil
Bindhiya | பிநà¯à®¤à®¿à®¯à®¾
A dot on the forehead. the one which indian women who put down the same in between two eyebrows, Drop, Point
Bindhiya | பிநà¯à®¤à®¿à®¯à®¾
Girl/Female
Tamil
Bindiya | பிஂதியா
A dot on the forehead. the one which indian women who put down the same in between two eyebrows, Drop, Point
Bindiya | பிஂதியா
Surname or Lastname
English
English : nickname for a meek person, from Middle English daffte ‘mild’, ‘gentle’, ‘meek’ (Old English gedæfte). It was not until the 15th century, toward the end of the main period of surname formation in England, that the word came to mean ‘stupid’, ‘silly’.
Girl/Female
Hindu, Indian
Small Red Dot; Bindi that Married Women Wear on Their Foreheads
Boy/Male
Indian
Dot; A Dark Point
Boy/Male
Australian, Farsi, Vietnamese
Accomplished; To Attain; To Achieve; Period of Time; Age; Life
Girl/Female
English
Gift of God. Aand the most common form of the name in English- speaking countries. Famous bearer:...
Girl/Female
Tamil
Sarvashaastramayi | ஸரà¯à®µà®·à®¾à®¸à¯à®¤à¯à®°à®®à®¯à¯€
One who is deft in all theories
Sarvashaastramayi | ஸரà¯à®µà®·à®¾à®¸à¯à®¤à¯à®°à®®à®¯à¯€
Girl/Female
Hindu, Indian, Kannada, Telugu
Drop of Water; Dot on the Forehead
Girl/Female
Tamil
A dot on the forehead. the one which indian women who put down the same in between two eyebrows, Drop, Point
Girl/Female
Hindu
One who is deft in all theories
Female
English
Pet form of English Dorothy, DOT means "gift of God."
Girl/Female
Indian
A dot on the forehead. the one which indian women who put down the same in between two eyebrows, Drop, Point
Surname or Lastname
English
English : nickname from Middle English dut ‘joy’, ‘delight’.Indian : variant of Datta.German : from the Germanic personal name Dudo (see Due).
Boy/Male
Indian, Sanskrit
Point; Drop; Dot
DFT OPERATOR
DFT OPERATOR
Boy/Male
British, English, French, German, Latin
Lucky
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from either of two places, Saint-Aubin-du-Thennay or Saint-Jean-du-Thennay, in Eure, Normandy, both so named from an uncertain first element (possibly a Gallo-Roman personal name or the Gaulish word tann ‘oak’, ‘holly’) + the locative suffix -acum.
Girl/Female
Greek Russian
Defender; protector of mankind. Famous Bearer: Alexander the Great.
Boy/Male
Australian, Celtic
Dark Stranger
Girl/Female
Indian
Young, Gentle
Female
German
Old High German form of Old Norse Brynhildr, BRUNHILD means "armored warrior woman."Â
Surname or Lastname
English
English : unexplained; perhaps a variant of Bottle, from the medieval personal name Bottyll, of Scandinavian origin.
Girl/Female
Muslim
Innocent
Boy/Male
Hindu, Indian, Marathi
Highest; The Best
Boy/Male
Indian, Sanskrit
Whitish; Washed; Purified
DFT OPERATOR
DFT OPERATOR
DFT OPERATOR
DFT OPERATOR
DFT OPERATOR
adv.
Often; frequently; not rarely; many times.
a.
Apt; fit; dexterous; clever; handy; spruce; neat.
a.
Gay; playful; frolicsome.
n.
See Dit, n., 2.
n.
A European lizard of the genus Seps.
n.
A flying report; rumor; as, it is a mere on dit.
p. pr. & vb. n.
of Dot
imp. & p. p.
of Dot
a.
Frequent; often; repeated.
n.
The quality of being deft.
v. t.
To mark with dots or small spots; as, to dot a line.
v. t.
To mark or diversify with small detached objects; as, a landscape dotted with cottages.
n.
A salamander, esp. the European smooth newt (Triton punctatus).
n.
Anything small and like a speck comparatively; a small portion or specimen; as, a dot of a child.
v. i.
To make dots or specks.
n.
The quality of being daft.
adv.
Again; afterwards; soon; quickly.
a. superl.
Nearest the stern; most aft.
a.
Stupid; foolish; idiotic; also, delirious; insane; as, he has gone daft.
adv.
Compar. of Oft.