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automatic basis function construction, also known as basis discovery, is a technique that finds a set of general-purpose (task-independent) basis functions
Automatic basis function construction
Automatic_basis_function_construction
methods (mathematical analysis, differential equations) Welch's method Automatic basis function construction List of graphical methods Scientific method
List of mathematics-based methods
List_of_mathematics-based_methods
Set of functions used to represent the electronic wave function
computational chemistry, a basis set is a set of functions (called basis functions) that is used to represent the electronic wave function in the Hartree–Fock
Basis_set_(chemistry)
Generalized function whose value is zero everywhere except at zero
Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real
Dirac_delta_function
United States automatic rifle family
The Browning automatic rifle (BAR) is a family of American automatic rifle used by the United States and numerous other countries during the 20th century
M1918 Browning automatic rifle
M1918_Browning_automatic_rifle
Collection of open sets used to define a topology
In mathematics, a base (or basis; pl.: bases) for the topology τ {\displaystyle \tau } of a topological space ( X , τ ) {\displaystyle (X,\tau )} is a
Base_(topology)
Austrian firearms designer (1848 - 1904)
his experimental designs for semi-automatic rifles, developed at a time when ammunition was not suitable to function properly in such a weapon[citation
Ferdinand_Mannlicher
Use of various control systems for operating equipment
mathematical basis of control theory began in the 18th century and advanced rapidly in the 20th. The term automation, inspired by the earlier word automatic (coming
Automation
Mathematical function with no sudden changes
topological spaces. The latter are the most general continuous functions, and their definition is the basis of topology. A stronger form of continuity is uniform
Continuous_function
Overview of and topical guide to machine learning
Natural language processing Named Entity Recognition Automatic summarization Automatic taxonomy construction Dialog system Grammar checker Language recognition
Outline_of_machine_learning
symmetric functions, and the distinct monomial symmetric functions therefore form a basis of ΛR as an R-module. The elementary symmetric functions ek, for
Ring_of_symmetric_functions
Member of the US Naval Construction Forces
plus four Construction Companies: A, B, C, & D. CBs are organized to function as independent self sufficient units. Regiment: Naval Construction Regiments
Seabee
Technology for determining a vehicle's geographic location
wider range of data as part of telematics. An Automatic vehicle location system (AVLS) typically functions in three stages: position determination, data
Automatic_vehicle_location
Algebraic structure in linear algebra
polynomial function in λ, called the characteristic polynomial of f. If the field F is large enough to contain a zero of this polynomial (which automatically happens
Vector_space
Algebra of formal sums
pointwise addition of functions. Every set B {\displaystyle B} has a free abelian group with B {\displaystyle B} as its basis. This group is unique in
Free_abelian_group
limited. In the second category are functions which are not based on mathematical problems, but on an ad-hoc constructions, in which the bits of the message
Security of cryptographic hash functions
Security_of_cryptographic_hash_functions
General-purpose programming language
static objects is useful for maintaining state information across function calls, automatic allocation is easy to use but stack space is typically much more
C_(programming_language)
Computation model defining an abstract machine
compute the same functions. But what Church had done was something rather different, and in a certain sense weaker. ... the Turing construction was more direct
Turing_machine
Method of analysis applied to problems wave propagation
making Huygens's construction quantitatively correct. In 2021, Forrest L. Anderson showed that treating the wavelets as Dirac delta functions, summing and
Huygens–Fresnel_principle
Type of knife
A switchblade (also known as switch knife, automatic knife, pushbutton knife, ejector knife, flick knife, gravity knife, flick blade, or spring knife)
Switchblade
Lamp mounted in the front of a vehicle
Cornering light function Adaptive Highbeam Assist is Mercedes-Benz's marketing name for a headlight control strategy that continuously automatically tailors the
Headlamp
Software that translates code from one programming language to another
etc. Accurate analysis is the basis for any compiler optimization. The control-flow graph of every compiled function and the call graph of the program
Compiler
Mathematical modelling alogorithm
implicitly acknowledges different types of uncertainty during the automatic construction of the optimal model. During development was established an organic
Group_method_of_data_handling
Neural network development environment
(programming) Jordan/Elman Principal component analysis (PCA) Radial basis function network (RBF) General regression neural network (GRNN) Probabilistic
NeuroSolutions
Polynomials used for interpolation
is its own inverse: the Lagrange basis automatically inverts the analog of the Vandermonde matrix. This construction is analogous to the Chinese remainder
Lagrange_polynomial
Topics referred to by the same term
Mel-frequency cepstrum, a representation of sounds used in applications such as automatic speech recognition Memory flow controller, a part of a computer architecture
MFC
Subject area in mathematics
as well as more modern concerns like the construction of higher regulators and special values of L-functions. The lower K-groups were discovered first
Algebraic_K-theory
1940s electromechanical computer
The Automatic Relay Calculator (ARC) was an early electromechanical computer developed at Birkbeck College, University of London in the mid-1940s. Designed
Automatic_Relay_Calculator
Type of cost analysis software
required for a construction project by the construction documents. Together with prices for these components, the measured quantities are the basis for calculation
Construction estimating software
Construction_estimating_software
Concepts from linear algebra
of square integrable functions. Since this space is a Hilbert space with a well-defined scalar product, one can introduce a basis set in which ψE and H
Eigenvalues_and_eigenvectors
JavaScript and WebAssembly engine
representing the function, JägerMonkey instead operated by iterating linearly forward through SpiderMonkey bytecode, the internal function representation
SpiderMonkey
Machine that washes clothes
due to their light weight and ability to function without a water connection. Since their introduction, automatic washing machines have relied on electromechanical
Washing_machine
Concept in statistics
density function f {\displaystyle f} or its second derivative f ″ {\displaystyle f''} . To overcome that difficulty, a variety of automatic, data-based
Kernel_density_estimation
Alternate way to define a function in APL
"shy"—not automatically displayed in the session. Names assigned in a dfn are local by default, with lexical scope. ⍺ denotes the left function argument
Direct_function
Special type of air gun used in airsoft
and generally of low quality); or automatically cycled by a battery-powered electric motor gearbox (i.e. "automatic electric guns" or AEGs). The other
Airsoft_gun
Second generation of Mercedes-Benz E-Class
steering-wheel controls for audio, navigation and telephone functions. The five-speed automatic transmission received a manual +/- selector gate, marketed
Mercedes-Benz_E-Class_(W210)
Faculty of mind to store and retrieve data
implicit functions by the working memory processor. The working memory also retrieves information from previously stored material. Finally, the function of
Memory
Process of reducing the number of random variables under consideration
missing data in digital image processing. With a stable component basis during construction, and a linear modeling process, sequential NMF is able to preserve
Dimensionality_reduction
Real numbers adjoined with a nil-squaring element
compositions of these functions over the dual numbers and examining the coefficient of ε in the result we find we have automatically computed the derivative
Dual_number
Automatic vehicle transmission, 1957–1961
most automatic transmissions, the drive turbine only functions as an input to the transmission, where the power is redirected to gears in its automatic gearbox
Turboglide
Manifold upon which it is possible to perform calculus
not manifestly a sheaf of functions at all. Rather, it emerges as a sheaf of functions as a consequence of the construction (via the quotients of local
Differentiable_manifold
Mathematical operation on vector spaces
V)=\dim(U)\dim(V),} which automatically gives the important fact that { u i ⊗ v j } {\displaystyle \{u_{i}\otimes v_{j}\}} forms a basis of U ⊗ V {\displaystyle
Tensor_product
Computer programming convention
the statements in the body of the function are indented an additional level. A multi-statement block inside a function, however, has its opening brace on
Indentation_style
Vertical transport
were significantly enhanced by Frank Sprague, who added floor control, automatic operation, acceleration control, and further safety devices. His elevator
Elevator
Property of artificial neural networks
J.; Sandberg, I. W. (1991). "Universal Approximation Using Radial-Basis-Function Networks". Neural Computation. 3 (2): 246–257. doi:10.1162/neco.1991
Universal approximation theorem
Universal_approximation_theorem
Computer compiler optimization technique
compiler optimization, register allocation is the process of assigning local automatic variables and expression results to a limited number of processor registers
Register_allocation
Comprehensive outline of core abstractions in the field of computer science
predictable. By treating computation as the evaluation of mathematical functions, functional programming moves away from the mutable state and side effects
List of abstractions (computer science)
List_of_abstractions_(computer_science)
Field of sexual orientation research
of the hypothalamus, which stores gender identity, are undeveloped and function as female. The action of the SRY gene in the Y chromosome in the fetus
Biology and sexual orientation
Biology_and_sexual_orientation
Property which distinguishes literature from ordinary text
defined solely on the basis of linguistic properties found within a text but that the reader is also a crucial factor in the construction of meaning (Zwaan
Literariness
proto-value functions (PVFs) are automatically learned basis functions that are useful in approximating task-specific value functions, providing a compact
Proto-value_function
Programmable machine that processes data
A computer is a machine that can be programmed to automatically carry out sequences of arithmetic or logical operations (computation). Modern digital
Computer
inmates being sent to other detention facilities and state prisons, on the basis of their age. J.D., Das and the other adults from the facility are sent
List of films with post-credits scenes
List_of_films_with_post-credits_scenes
American auto-loading carbine
(formally the United States Carbine, Caliber .30, M1) is a lightweight semi-automatic carbine chambered in the .30 carbine (7.62×33mm) cartridge that was issued
M1_carbine
Uncontrolled fire in forests or open spaces
from the original (PDF) on 26 February 2009. Retrieved 9 January 2009. "Automatic remote surveillance system for the prevention of forest fires" (PDF).
Wildfire
About mathematical functions
output as it depends on the input or the change in the input. Such functions are the basis of calculus. In the first volume of his fundamental text Introductio
History of the function concept
History_of_the_function_concept
Full-size automobile produced by Mercury (1975-2011)
the 460 V8 was optional. All engines were paired with a three-speed automatic transmission. Shared with the Lincoln Continental, four-wheel disc brakes
Mercury_Grand_Marquis
Physics of heat, work, and temperature
for the construction of practical thermometers. The zeroth law was not initially recognized as a separate law of thermodynamics, as its basis in thermodynamical
Thermodynamics
Series of British mid-size luxury SUVs
the "Boost" style alloy design. It was built as a V8 automatic or Tdi (with either the automatic or manual gearbox.) Safari (UK, 1998): Again based on
Land_Rover_Discovery
Historic US military computer and radar network
creation of automatic equipment for radar-detection which would relay information to an air defense control system, a system which would function without
Semi-Automatic Ground Environment
Semi-Automatic_Ground_Environment
Hidden Markov model algorithm
called Hybrid Forward Algorithm (HFA) can be used for the construction of radial basis function (RBF) neural networks with tunable nodes. The RBF neural
Forward_algorithm
Grouping by physical or social qualities
one-drop rule, as it was in the United States. A Brazilian child was never automatically identified with the racial type of one or both parents, nor were there
Race_(human_categorization)
Set of points on a line segment with certain topological properties
helped lay the foundations of modern point-set topology. The most common construction is the Cantor ternary set, built by removing the middle third of a line
Cantor_set
Swedish manufacturer of high-performance sports cars
Innovation of the Year 2023 – For the [ESS (Engaged Shift System)] manual/automatic shift system in the [CC850]. 2023 FIA President Innovation Medal: Christian
Koenigsegg
the affixing of CE marking to construction products. Introduce the need to issue a declaration of performance as a basis for CE marking. Define clear rules
Regulation_(EU)_No._305/2011
Suburban commuter rail network in the Paris region
Métro's line 13 has been extended to perform a similar function. The RER's first phase of construction during the 1960s and 1970s was marked by scale and
Réseau_Express_Régional
Attitudes and behaviors towards sex in ancient Rome
anticipation of pleasure. The body's response to physical attractiveness is automatic, and neither the character of the person desired nor one's own choice
Sexuality_in_ancient_Rome
Government system where political power lies with the people
although democracy can never be fully realised, democracy may be developed automatically in the act of striving for democracy: The peasant in the fable, when
Democracy
Business process improvement technique
improving the accuracy of allocation of cash to reduce bank charges, automatic payments, improving the accuracy of reporting, reducing documentary credit
Six_Sigma
Type of logical system
quantifier constructions in natural language, such as "every person who lives in Perth lives in Australia". Hence, first-order logic is used as a basis for knowledge
First-order_logic
Branch of engineering and mathematics
design feedback control systems Positive systems Radial basis function – Type of mathematical function Root locus – Stability criterion in control theoryPages
Control_theory
Type of machine learning model
used as a code completion tool, but advances have moved them towards automatic programming. Services such as GitHub Copilot offer LLMs specifically trained
Large_language_model
1994 35mm single-lens reflex camera
blind to block stray light when on a tripod. For automatic focusing, the camera used a 5-point BASIS auto focus system with the sensors arranged horizontally
Canon_EOS-1N
a loan in which the collateral is more than the loan itself. Also the basis for the term "an abundance of caution" employed by United States President
List_of_Latin_phrases_(full)
Difficulty keeping organised to complete tasks
executive dysfunction, or executive function deficit, is a disruption to the efficacy of the executive functions, which is a group of cognitive processes
Executive_dysfunction
System to track the location of a vehicle
component of fleet digitalization. While the primary function of these systems is to provide automatic vehicle location, they also gather data for more advanced
Vehicle_tracking_system
Collection of random variables
the construction of such a stochastic process, it is assumed that the sample functions of the stochastic process belong to some suitable function space
Stochastic_process
Mode of transport
of railroads provided the basis for a dramatic expansion of the private (non-governmental) financial system. Construction of railroads was far more expensive
Rail_transport
Branch of mathematics
which include, in particular, quantum mechanics (wave functions) and Fourier analysis (orthogonal basis). Nearly all scientific computations involve linear
Linear_algebra
Function describing an electron in an atom
mechanics, an atomic orbital is a function describing the location and wave-like behavior of an electron in an atom. This function describes an electron's charge
Atomic_orbital
Programming language
* y_3)) The new function is automatically compiled. F# is a .NET framework language based on OCaml. JoCaml integrates constructions for developing concurrent
OCaml
Measurement standards laboratory in the United States
United States Air Force, the Bureau began design and construction of SEAC, the Standards Eastern Automatic Computer. The computer went into operation in May
National Institute of Standards and Technology
National_Institute_of_Standards_and_Technology
Measurement of the direction from which a received signal was transmitted
frequencies can be used, allowing the use of much smaller antennas. An automatic direction finder, which could be tuned to radio beacons called non-directional
Direction_finding
Series of full-size SUVs produced by Ford
tarnish painted pockets. A 3.5-liter EcoBoost engine functions with a 10-speed SelectShift automatic transmission. The Limited also has a 23.3 US gal (88 L;
Ford_Expedition
Spiritual practice
spirit to control their body and speak through it directly or by using automatic writing or drawing. Spiritualists classify types of mediumship into two
Mediumship
Computer program for working with tabular data
for Applications in the supplied Visual Basic editor, and such functions are automatically accessible on the worksheet. Also, programs can be written that
Spreadsheet
Russian weapons and motor vehicle manufacturer
RPK light machine gun series, the Dragunov SVD semi-automatic sniper rifle, the SKS semi-automatic carbine, the Makarov PM pistol, the Saiga-12 shotgun
Kalashnikov_Concern
President of the United States from 2021 to 2025
inflation rate reached 2.9% and core inflation rate reached 3.2% on an annual basis in December 2024, the last full month of Biden's term. Between December
Joe_Biden
First modern automobile
fixed to the counter-shaft. Its effect was similar to that of putting an automatic car into Drive. The lever 9 could also be moved back, which applied a
Benz_Patent-Motorwagen
Office in Makati, Philippines
locations controlled at the central command station on a 24-hour basis, fire alarm and automatic fire sprinkler systems, dual water supply with water treatment
PBCom_Tower
Mid-size car produced by Mitsubishi (1985-2005)
introduced to the four-speed automatic for the Executive and Advance models—making this function standard on all Magna automatics. Executive and Advance also
Mitsubishi_Magna
Monster and modular connection
unexpected connection between the monster group M and modular functions, in particular the j function. The initial numerical observation was made by John McKay
Monstrous_moonshine
Function from sets to numbers
In mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes
Set_function
Motor vehicle
previous generations. It is the first generation of this model with an automatic transmission which is able to import to outside Japan. Like other 2008
Subaru_Impreza_WRX_STI
Type of assault rifle
which had just been selected by the U.S. military as the M16. A semi-automatic version known as the AR-180 was later produced for the civilian market
ArmaLite_AR-18
Software reverse engineering tool
Samsung SAM8 Siemens C166 TMS320Cxxx series Compiler/libraries (for automatic library function recognition) Borland C++ 5.x for DOS/Windows Borland C++ 3.1 Borland
Interactive_Disassembler
Land service branch of the U.S. military
Infantry OSUT covered the M240 machine gun as well as the M249 squad automatic weapon. The redesigned Infantry OSUT started in 2019. Depending on the
United_States_Army
Training institute in Vadodara, India
warning system, automatic block signaling, train activated warning at level crossings, block proving by axle counters, 4 aspects automatic signal & data
National Academy of Indian Railways
National_Academy_of_Indian_Railways
Ability to attribute mental states to oneself and others
neural basis for theory of mind impairment in subjects with Asperger syndrome (an outdated condition associated with Autism) and high-functioning autism
Theory_of_mind
Number representing a continuous quantity
homomorphisms are interpreted as type conversions that can often be done automatically by the compiler. Previous properties do not distinguish real numbers
Real_number
Country in South America
constitutional court who declared her succession to be constitutional and automatic. International politicians, scholars and journalists are divided between
Bolivia
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
Surname or Lastname
English
English : from Old French bas(se) ‘low’, ‘short’ (Latin bassus ‘thickset’; see Basso), either a descriptive nickname for a short person or a status name meaning ‘of humble origin’, not necessarily with derogatory connotations.English : in some instances, from Middle English bace ‘bass’ (the fish), hence a nickname for a person supposedly resembling this fish, or a metonymic occupational name for a fish seller or fisherman.Scottish : habitational name from a place in Aberdeenshire, of uncertain origin.Jewish (Ashkenazic) : metonymic occupational name for a maker or player of bass viols, from Polish, Ukrainian, and Yiddish bas ‘bass viol’.German : see Basse.
Boy/Male
Muslim
Smiling, Happy
Boy/Male
Muslim
Vision, Propitious, Auspicious, Prudent, Bringer of glad tidings
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Boy/Male
Muslim
Vast, Spacious, One who stretches, Enlarges
Boy/Male
Tamil
King, Basil the herb
Boy/Male
Indian
Friction
Boy/Male
Indian
Vast, Spacious, One who stretches, Enlarges
Male
English
 English form of French Basile, BASIL means "king." Also sometimes given as an herb name.
Girl/Female
Afghan, Arabic, Australian
Aromatic; Sweet Basil
Boy/Male
Greek
Royal. Kingly. St Basil the Great was Bishop of Caesarea in the latter half of the 4th century....
Boy/Male
Greek American English
Royal. Kingly. St Basil the Great was Bishop of Caesarea in the latter half of the 4th century....
Girl/Female
Arabic, Muslim
Aromatic; Sweet Basil
Boy/Male
Indian
Vision, Propitious, Auspicious, Prudent, Bringer of glad tidings
Girl/Female
Latin
Fortuna.
Boy/Male
Muslim
Clear
Boy/Male
Muslim
King, Basil the herb (1)
Boy/Male
Hindu
King, Basil the herb
Female
Hebrew
 Variant spelling of Hebrew Basya, BASIA means "daughter of God."
Girl/Female
Arabic, Muslim
Aromatic Sweet Basil
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
Girl/Female
Australian, Hebrew, Latin
The Light is Mine; The Lord is My Light; Form of Orli
Girl/Female
English American Swedish
Aintroduced to Britain in the 13th century, made popular in the 14th century by the cult of St...
Girl/Female
Arabic
Woman; life.
Surname or Lastname
English
English : habitational name from Kettlewell in North Yorkshire, recorded in Domesday Book as Cheteleuuelle, from Old English cetel ‘deep valley’ + wella ‘spring’, ‘stream’.
Girl/Female
Tamil
Shatarupa | ஷதரூபா
Lord Shiva
Boy/Male
Hindu, Indian, Marathi
A King
Girl/Female
Tamil
Mrigankhi | à®®à¯à®°à¯€à®•à®‚கீÂ
Deer eyed
Boy/Male
Hebrew Biblical
Strong; carried; brave. Amos was an 8th century B.C. Old Testament prophet.
Girl/Female
Tamil
Bhadrakaali | பதà¯à®°à®•à®¾à®²à¯€
Fierce form of Kali, Goddess Durga
Boy/Male
Indian, Sanskrit
Precious
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
v. t.
The act of uniting, or the state of being united; junction.
n.
The things sold by auction or put up to auction.
n.
The state or quality of being automatic; the power of self-moving; automatic, mechanical, or involuntary action. (Metaph.) A theory as to the activity of matter.
n.
Species of Serranus, the sea bass and rock bass. See Sea bass.
a.
A bass, or deep, sound or tone.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
pl.
of Bass
pl.
of Basis
a.
Not voluntary; not depending on the will; mechanical; as, automatic movements or functions.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
n.
The quantity contained in a basin.
a.
Pertaining to, or produced by, an automaton; of the nature of an automaton; self-acting or self-regulating under fixed conditions; -- esp. applied to machinery or devices in which certain things formerly or usually done by hand are done by the machine or device itself; as, the automatic feed of a lathe; automatic gas lighting; an automatic engine or switch; an automatic mouse.
n.
The act of joining, or the state of being joined; union; combination; coalition; as, the junction of two armies or detachments; the junction of paths.
n.
The two American fresh-water species of black bass (genus Micropterus). See Black bass.
a.
Alt. of Automatical
a.
Pertaining to the function of an organ or part, or to the functions in general.
a.
Pertaining to, or connected with, a function or duty; official.
n.
The name given to several aromatic herbs of the Mint family, but chiefly to the common or sweet basil (Ocymum basilicum), and the bush basil, or lesser basil (O. minimum), the leaves of which are used in cookery. The name is also given to several kinds of mountain mint (Pycnanthemum).
pl.
of Automaton
v. t.
To sell by auction.