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Theory of getting acceptably close inexact mathematical calculations
In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing
Approximation_theory
Something roughly the same as something else
An approximation is anything that is intentionally similar but not exactly equal to something else. The word approximation is derived from Latin approximatus
Approximation
Property of artificial neural networks
In the field of machine learning, the universal approximation theorems (UATs) state that neural networks with a certain structure can, in principle, approximate
Universal approximation theorem
Universal_approximation_theorem
Methods of mathematical approximation
useful approximation for a few terms, but at some point becomes less accurate if even more terms are added. The breakthrough from chaos theory was an
Perturbation_theory
Soviet mathematician
differential equations, differential geometry, probability theory, and approximation theory. Bernstein was born into the Jewish family of prominent Ukrainian
Sergei_Bernstein
Rational-number approximation of a real number
In number theory, the study of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus
Diophantine_approximation
algorithms achieved the best possible approximation ratio. Hardness of approximation theory deals with studying the approximation threshold of such problems. For
Hardness_of_approximation
Approximation of physical behavior
Bragg–Williams approximation, models on Bethe lattice, Landau theory, Curie-Weiss law for magnetic susceptibility, Flory–Huggins solution theory, and Scheutjens–Fleer
Mean-field_theory
Approximating an arbitrary function with a well-behaved one
classification problem instead. Approximation theory Fitness approximation Kriging Least squares (function approximation) Radial basis function network
Function_approximation
In approximation theory, a converse to Jackson's theorem
In approximation theory, Bernstein's theorem is a converse to Jackson's theorem. The first results of this type were proved by Sergei Bernstein in 1912
Bernstein's theorem (approximation theory)
Bernstein's_theorem_(approximation_theory)
'Best' approximation of a function by a rational function of given order
Diophantine approximation and transcendental number theory, though for sharp results, ad hoc methods—in some sense inspired by the Padé theory—typically
Padé_approximant
Academic journal
The Journal of Approximation Theory is "devoted to advances in pure and applied approximation theory and related areas." It was founded in 1968. In 2001
Journal of Approximation Theory
Journal_of_Approximation_Theory
Study of the properties of codes and their fitness
Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography
Coding_theory
Mathematical approach to quantum physics
In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated
Perturbation theory (quantum mechanics)
Perturbation_theory_(quantum_mechanics)
Branch of mathematics concerning probability
Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations
Probability_theory
Study of abstract machines and automata
Automata theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them. It is a theory in theoretical
Automata_theory
Description of limiting behavior of a function
statistics, however. Non-asymptotic bounds are provided by methods of approximation theory. Examples of applications are the following. In applied mathematics
Asymptotic_analysis
Solution method for linear differential equations
In mathematical physics, the WKB approximation or WKB method is a technique for finding approximate solutions to linear differential equations with spatially
WKB_approximation
Computational quantum mechanical modelling method to investigate electronic structure
calculations in quantum chemistry until the 1990s, when the approximations used in the theory were greatly refined to better model the exchange and correlation
Density_functional_theory
Theory of subatomic structure
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called
String_theory
Supposition or system of ideas intended to explain something
Mathematics: Approximation theory — Arakelov theory — Asymptotic theory — Bifurcation theory — Catastrophe theory — Category theory — Chaos theory — Choquet
Theory
Italian mathematician and professor
Research Network on Approximation from 2017 to 2020, and Responsible for the Unione Matematica Italiana Thematic Group on "Approximation Theory and Applications
Stefano_De_Marchi
Mathematical theorem in the study of analysis
In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on a closed interval [a, b] can be uniformly
Stone–Weierstrass_theorem
Physical theory with fields invariant under the action of local "gauge" Lie groups
In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, does not change under local
Gauge_theory
Mathematical inequality
disk. It was proven by Sergei Bernstein while he was working on approximation theory. Let max | z | = 1 | f ( z ) | {\displaystyle \max _{|z|=1}|f(z)|}
Bernstein's theorem (polynomials)
Bernstein's_theorem_(polynomials)
Mathematical method
approximation applies the principle of least squares to function approximation, by means of a weighted sum of other functions. The best approximation
Least-squares function approximation
Least-squares_function_approximation
Scientific study of digital information
Sun; Verdú, Sergio (May 1993). "Approximation theory of output statistics". IEEE Transactions on Information Theory. 39 (3): 752–772. Bibcode:1993ITIT
Information_theory
Concept in number theory
In number theory, Dirichlet's theorem on Diophantine approximation, also called Dirichlet's approximation theorem, states that for any real numbers α
Dirichlet's approximation theorem
Dirichlet's_approximation_theorem
American mathematician
pioneers in the fields of approximation theory and numerical analysis. His 1966 book, An Introduction to Approximation Theory, remains in print and is
Elliott_Ward_Cheney_Jr.
Hungarian mathematician (1913–1996)
discrete mathematics, graph theory, number theory, mathematical analysis, approximation theory, set theory, and probability theory. Much of his work centered
Paul_Erdős
Sequence of operations for a task
approximate While many algorithms reach an exact solution, approximation algorithms seek an approximation that is close to the true solution. Such algorithms
Algorithm
Expressions for approximation accuracy
quantitative disciplines, order of approximation refers to formal or informal expressions for how accurate an approximation is in terms of the number of parameters
Order_of_approximation
Branch of applied probability theory
Decision theory or the theory of rational choice is a branch of probability, economics, and analytic philosophy that uses expected utility and probability
Decision_theory
Application of mathematical methods to other fields
principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods
Applied_mathematics
Soviet mathematician
mathematics such as complex analysis, approximation theory and numerical analysis. He also worked on elasticity theory, which is used in applied math and
Georgii_Polozii
mathematical theories. Almgren–Pitts min-max theory Approximation theory Arakelov theory Asymptotic theory Automata theory Bass–Serre theory Bifurcation theory Braid
List_of_mathematical_theories
Method to determine the electronic structure of strongly correlated materials
mean-field theory (DMFT) is a method to determine the electronic structure of strongly correlated materials. In such materials, the approximation of independent
Dynamical_mean-field_theory
constructive function theory is a field which studies the connection between the smoothness of a function and its degree of approximation. It is closely related
Constructive_function_theory
Inequality on approximations of a function by algebraic or trigonometric polynomials
In approximation theory, Jackson's inequality is an inequality bounding the value of function's best approximation by algebraic or trigonometric polynomials
Jackson's_inequality
Ukrainian mathematician
1958) is a Ukrainian mathematician interested in probability theory and approximation theory, and known for her research on q-Bernstein polynomials, the
Sofiya_Ostrovska
Algorithm to approximate functions
is an iterative algorithm used to find simple approximations to functions, specifically, approximations by functions in a Chebyshev space that are the
Remez_algorithm
polynomials are listed under Polynomial interpolation Approximation theory Orders of approximation Lebesgue's lemma Curve fitting Vector field reconstruction
List of numerical analysis topics
List_of_numerical_analysis_topics
Armenian and Soviet mathematician (1936–2023)
in approximation theory and complex analysis. He was known for Arakelian's approximation theorem. Also, on the basis of his approximation theory results
Norair_Arakelian
In mathematics, Grauert's approximation theorem, due to Grauert, is an analog of Whitney’s approximation theorem for real-analytic maps. It states: with
Grauert's approximation theorem
Grauert's_approximation_theorem
Describes the range of energies of an electron within the solid
energies so that there are no band gaps at higher energies. Band theory is only an approximation to the quantum state of a solid, which applies to solids consisting
Electronic_band_structure
Canadian mathematician of Chinese origin
a mathematics professor at the University of Alberta researching approximation theory and wavelet analysis. He was an undergraduate student at the Zhejiang
Jia_Rongqing
Area of mathematics
R. (1986). Computational Mathematics: An Introduction to Numerical Approximation. John Wiley and Sons. ISBN 978-0-470-20260-9. Gentle, J. E. (2007).
Computational_mathematics
In approximation theory, a Haar space or Chebyshev space is a finite-dimensional subspace V {\displaystyle V} of C ( X , K ) {\displaystyle {\mathcal {C}}(X
Haar_space
Method for estimating new data within known data points
simplest case this leads to least squares approximation. Approximation theory studies how to find the best approximation to a given function by another function
Interpolation
Branch of mathematics
studies functions, spaces, and operators through quantitative methods of approximation and convergence. It grew out of calculus, especially the use of derivatives
Mathematical_analysis
field of approximation theory for obtaining upper estimates on the errors of best approximation. Denote the value of the best uniform approximation of a function
Whitney_inequality
Mathematical method that minimizes maximum error
A minimax approximation algorithm (or L∞ approximation or uniform approximation) is a method to find an approximation of a mathematical function that
Minimax approximation algorithm
Minimax_approximation_algorithm
Pair of polynomial sequences
Cornelius Lanczos showed that the Chebyshev polynomials are important in approximation theory for the solution of linear systems; the roots of Tn(x), which are
Chebyshev_polynomials
Method in approximation theory
Radial basis function (RBF) interpolation is an advanced method in approximation theory for constructing high-order accurate interpolants of unstructured
Radial basis function interpolation
Radial_basis_function_interpolation
Class of algorithms that find approximate solutions to optimization problems
In computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to optimization problems
Approximation_algorithm
Concept in several complex variables
{O}}(X)} -convexity, and approximation is by global holomorphic functions on X {\displaystyle X} . This generalizes classical approximation theorems in one complex
Polynomial_convexity
Scattering theory
Generally in scattering theory and in particular in quantum mechanics, the Born approximation consists of taking the incident field in place of the total
Born_approximation
Academic journal
Approximation is "an international mathematics journal dedicated to Approximations, expansions, and related research in: computation, function theory
Constructive_Approximation
Multivariate functions can be written using univariate functions and summing
In real analysis and approximation theory, the Kolmogorov–Arnold representation theorem (or superposition theorem) states that every multivariate continuous
Kolmogorov–Arnold representation theorem
Kolmogorov–Arnold_representation_theorem
universal approximation properties of two-layer neural networks. It has applications in approximation theory and statistical learning theory. It is named
Barron_space
Field of knowledge
contain them), analysis (the quantitative study of approximation and convergence), and set theory (presently used as a foundation for all mathematics)
Mathematics
{\displaystyle \arg \min _{y\in M}d(x,y)} are also called elements of best approximation. This term comes from constrained optimization: we want to find an element
Metric_projection
Approximation for factorials
mathematics, Stirling's approximation (or Stirling's formula) is an asymptotic approximation for factorials. It is a good approximation, leading to accurate
Stirling's_approximation
important statement in approximation theory. It provides a bound for the projection error, controlling the error of approximation by a linear subspace based
Lebesgue's_lemma
Roots of the Chebyshev polynomials of the first kind
the greatest to the smallest. The Chebyshev nodes are important in approximation theory because they form a particularly good set of nodes for polynomial
Chebyshev_nodes
Physical quantities taking values at each point in space and time
single rank-2 tensor field. In the modern framework of the quantum field theory, even without referring to a test particle, a field occupies space, contains
Field_(physics)
German mathematician (1910–1990)
and G Walz, In memoriam : the work of Lothar Collatz in approximation theory, J. Approx. Theory 67 (2) (1991), 119–128. G Meinardus and G Nürnberger, In
Lothar_Collatz
continuous function can be approximated by polynomials. Korovkin approximation theory provides a way to establish the convergence of a sequence of positive
Korovkin_approximation
modulus of continuity and are used in approximation theory and numerical analysis to estimate errors of approximation by polynomials and splines. The modulus
Modulus_of_smoothness
Egyptian mathematician
editorial boards of several journals including Constructive Approximation, Journal of Approximation Theory, Journal of Physics A, and The Ramanujan Journal. He
Mourad_Ismail
Harmonic functions as solutions to Laplace's equation
mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" dates from 19th-century physics when it
Potential_theory
Mathematical theorem
sequence of subspaces; one application in numerical analysis is to approximation theory, where such theorems quantify the difficulty of approximating general
Lethargy_theorem
Failure of convergence in interpolation
is similar to the Gibbs phenomenon in Fourier series approximations. The Weierstrass approximation theorem states that for every continuous function f
Runge's_phenomenon
Belgian mathematician and computer scientist
and for the European Mathematical Society. His research concerns approximation theory. Bultheel was born in Zwijndrecht, Belgium on December 14, 1948.
Adhemar_Bultheel
Approximation of a function by a polynomial
In calculus, Taylor's theorem gives an approximation of a k {\textstyle k} -times differentiable function around a given point by a polynomial of degree
Taylor's_theorem
Methods for numerical approximations
(in contrast to discrete mathematics), and typically use numerical approximation in addition to symbolic manipulation. Numerical analysis finds application
Numerical_analysis
Armenian mathematician
mathematician, who made major contributions to the Approximation theory. The modern Complex Approximation Theory is based on Mergelyan's classical work. Corresponding
Sergey_Mergelyan
Concept in mathematics
1007/978-3-642-65711-5_3. ISBN 978-3-642-65713-9. Powell, Michael J. D. (1981), Approximation Theory and Methods, Cambridge University Press, ISBN 978-0-521-29514-7 Riesz
Trigonometric_polynomial
Basic result of approximation theory
The Müntz–Szász theorem is a basic result of approximation theory, proved by Herman Müntz in 1914 and Otto Szász in 1916. Roughly speaking, the theorem
Müntz–Szász_theorem
Italian mathematician (1872–1951)
authored more than 60 papers, mainly in the areas of real analysis, approximation theory and partial differential equations, according to Tricomi (1962).
Carlo_Severini
Calculus of vector-valued functions
(1999) "The curl in seven dimensional space and its applications", Approximation Theory and Its Applications 15(3): 66 to 80 doi:10.1007/BF02837124 Bachman
Vector_calculus
are for science, engineering, finance, economics and logistics. Approximation theory part of analysis that studies how well functions can be approximated
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Erdős–Turán–Koksma inequality. Erdős, P.; Turán, P. (1948). "On a problem in the theory of uniform distribution. I." (PDF). Proceedings of the Koninklijke Nederlandse
Erdős–Turán_inequality
Type of discrete orthogonal polynomials
polynomials, are a type of discrete orthogonal polynomials used in approximation theory, introduced by Pafnuty Chebyshev and rediscovered by Gram. They were
Discrete Chebyshev polynomials
Discrete_Chebyshev_polynomials
Type of approximation to an underlying physical theory
effective field theory is a type of approximation, or effective theory, for an underlying physical theory, such as a quantum field theory or a statistical
Effective_field_theory
Solution of a simplified form of an equation
Newton polygon method. Newton developed this method to find an explicit approximation for an algebraic function. Newton expressed the function as proportional
Method_of_dominant_balance
Topics referred to by the same term
surfaces Bernstein's theorem on monotone functions Bernstein's theorem (approximation theory) Bernstein's theorem (polynomials) Bernstein's lethargy theorem Bernstein–von
Bernstein's_theorem
Function in mathematical analysis
American Mathematical Society. ISBN 978-0-8218-6963-5. Steffens, K.-G. (2006). The History of Approximation Theory. Boston: Birkhäuser. ISBN 0-8176-4353-2.
Modulus_of_continuity
Academic journal
East Journal on Approximations is a journal about approximation theory published in Sofia, Bulgaria. East Journal on Approximations web site "DARBA-EJA"
East Journal on Approximations
East_Journal_on_Approximations
Approximation method in quantum physics
wave function and energy of the system. Hartree–Fock approximation is an instance of mean-field theory, where neglecting higher-order fluctuations in order
Hartree–Fock_method
Study of discrete mathematical structures
beyond discrete objects include transcendental numbers, diophantine approximation, p-adic analysis and function fields. Algebraic structures occur as
Discrete_mathematics
Mathematical approximation of a function
– best approximation by a rational function Puiseux series – power series with rational exponents Approximation theory Function approximation Banner 2007
Taylor_series
Mathematics of real numbers and real functions
trigonometric series. These lead from elementary analysis to questions of approximation theory (how well a function is represented by a series or partial sum),
Real_analysis
Collection of random variables
In probability theory and related fields a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random variables
Stochastic_process
French mathematician
29 June 1965 in Paris) is a French mathematician, specializing in approximation theory, numerical analysis, and digital signal processing. He is, through
Albert_Cohen_(mathematician)
Generalization of basis splines (B-splines) to multiple variables
In the mathematical fields of numerical analysis and approximation theory, box splines are piecewise polynomial functions of several variables. Box splines
Box_spline
Unrelated vertices in graphs
In graph theory, an independent set, stable set, coclique or anticlique is a set of vertices in a graph, no two of which are adjacent. That is, it is a
Independent set (graph theory)
Independent_set_(graph_theory)
Field theory involving topological effects in physics
theory is viewed as the fundamental, then non-local TQFTs can be viewed as non-physical models that provide a computationally efficient approximation
Topological quantum field theory
Topological_quantum_field_theory
American mathematician
mathematician, specializing in approximation theory. He is known for his 1969 book An Introduction to the Approximation of Functions (Dover reprint, 1981)
Theodore_J._Rivlin
American mathematician (1928–2022)
areas of mathematics, including matrix analysis, complex analysis, approximation theory, and scientific computation. He was the author of the classic textbook
Richard_S._Varga
APPROXIMATION THEORY
APPROXIMATION THEORY
Surname or Lastname
English and Scottish
English and Scottish : topographic name for someone who lived by a patch of wet ground overgrown with brushwood, northern Middle English kerr (Old Norse kjarr). A legend grew up that the Kerrs were left-handed, on theory that the name is derived from Gaelic cearr ‘wrong-handed’, ‘left-handed’.Irish : see Carr.This surname has also absorbed examples of German Kehr.
Surname or Lastname
English
English : according to Reaney this is a nickname from an unattested Old English word cybbe meaning ‘clumsy’ or ‘thickset’. Reaney’s speculation is apparently based on taking the Middle English word kibble ‘cudgel’ as a diminutive of an unattested Old English word. Corresponding personal names have been postulated for the place names Kibworth (‘enclosure of a man called Cybba’) and Kibblesworth (‘enclosure of a man called Cybbel’); so, in theory, the surname could be a reflex of these Old English personal names.North German : nickname for a cantankerous person, from Middle Low German, Middle High German kiven ‘to quarrel’.
Surname or Lastname
English (mainly Gloucestershire), Dutch, and German (also Türk)
English (mainly Gloucestershire), Dutch, and German (also Türk) : from Middle English, Old French turc, Middle High and Low German Turc ‘Turk’, from Turkish türk. In theory this could be an ethnic name but, both in England and northwest Europe, it is generally a nickname for a person with black hair and a swarthy complexion or a cruel, rowdy, or unruly person. The Dutch and German surname also represents a house name, derived from the use of a picture of a Turk as a house sign. It is also found as a nickname for someone who had taken part in the wars against the Turks.English : from a medieval personal name, a back-formation from Turkel, misanalyzed as containing the Old French diminutive suffix -el.Scottish : reduced Anglicized form of Gaelic Mac Tuirc, a patronymic from the byname Torc ‘boar’.Jewish (Ashkenazic) : ethnic name denoting someone from Turkey or anywhere in the Ottoman Empire, or a nickname for someone thought to resemble a Turk.Americanized form of the Greek ethnic name Tourkos ‘Turk’. See also Turco.
Surname or Lastname
English
English : from a short form of the personal names Giles, Julian, or William. In theory the name would have a soft initial when derived from the first two of these, and a hard one when from William or from the other possibilities discussed in 2–4 below. However, there has been much confusion over the centuries.Northern English : topographic name for someone who lived by a ravine or deep glen, Middle English gil(l), Old Norse gil ‘ravine’.Scottish and Irish : reduced Anglicized form of Gaelic Mac Gille (Scottish), Mac Giolla (Irish), patronymics from an occupational name for a servant or a short form of the various personal names formed by attaching this element to the name of a saint. See McGill. The Old Norse personal name Gilli is probably of this origin, and may lie behind some examples of the name in northern England.Scottish and Irish : reduced Anglicized form of Gaelic Mac An Ghoill (see Gall 1).Norwegian : habitational name from any of three farmsteads in western Norway named Gil, from Old Norse gil ‘ravine’.Dutch : cognate of Giles.Jewish (Israeli) : ornamental name from Hebrew gil ‘joy’.German : from a vernacular short form of the medieval personal name Aegidius (see Gilger).Indian (Panjab) : Sikh name, probably from Panjabi gil ‘moisture’, also meaning ‘prosperity’. There is a Jat tribe that bears this name; the Ramgarhia Sikhs also have a clan called Gill.
Surname or Lastname
English
English : unexplained. It may be a variant of a medieval name, Preville, a habitational name from a Norman place named with the elements pré ‘meadow’ + ville ‘settlement’. However, this theory is not supported by evidence of early forms.
Surname or Lastname
English, Scottish, and Irish (of Norman origin)
English, Scottish, and Irish (of Norman origin) : of disputed origin. It may be from a Celtic personal name derived from the element cam ‘bent’, ‘crooked’ (compare Cameron and Campbell). This was relatively frequent in Norfolk, Lincolnshire, and Yorkshire in the 12th and 13th centuries, perhaps as a result of Breton immigration. According to another theory it is a habitational name from Comines near Lille, but there is no evidence for this (no early forms with de have been found). In southern Ireland this Anglo-Norman name has been confused with 2.Irish : Anglicized form of Gaelic Mac CuimÃn (or Ó CuimÃn) ‘son (or ‘descendant’) of CuimÃn’, a personal name formed from a diminutive of cam ‘crooked’.Americanized form of French Canadian Vien, Viens, based on the misconception that these derive from French venire ‘to come’.
APPROXIMATION THEORY
APPROXIMATION THEORY
Boy/Male
Arabic, Muslim
Crescent; A Companion of the Prophet PBUH
Boy/Male
British, Christian, English, Latin
Gentle; Mild; Giving Mercy; Diminutive of Clement
Boy/Male
Indian
Ambassador, Handsome, Emissary, Mediator
Female
Spanish
Feminine form of Spanish Alejandro, ALEJANDRA means "defender of mankind."
Boy/Male
Arabic American Muslim
Handsome.
Girl/Female
Hindu, Indian, Marathi
Goddess
Boy/Male
Scottish
Brother.
Girl/Female
Hindu, Indian
Lord Shiva
Girl/Female
Hindu
A celestial dancer, Lovable, Pleasing
Boy/Male
Tamil
Lord of earth
APPROXIMATION THEORY
APPROXIMATION THEORY
APPROXIMATION THEORY
APPROXIMATION THEORY
APPROXIMATION THEORY
a.
Resembling, or approximating to, a hemisphere in form.
n.
A value that is nearly but not exactly correct.
n.
The act of violently forcing air out through the nasal passages while the cavity of the mouth is shut off from the pharynx by the approximation of the soft palate and the base of the tongue.
n.
The act of approximating; a drawing, advancing or being near; approach; also, the result of approximating.
a.
Of or pertaining to volcanoes; specifically, relating to the geological theory of the Vulcanists, or Plutonists.
n.
A continual approach or coming nearer to a result; as, to solve an equation by approximation.
n.
An approach to a correct estimate, calculation, or conception, or to a given quantity, quality, etc.
n.
The philosophical explanation of phenomena, either physical or moral; as, Lavoisier's theory of combustion; Adam Smith's theory of moral sentiments.
a.
Approaching; approximate.
n.
An exposition of the general or abstract principles of any science; as, the theory of music.
n.
The science, as distinguished from the art; as, the theory and practice of medicine.
n.
One who, or that which, approximates.
n. pl.
A group of ganoid fishes, including the living genera Ceratodus and Lepidosiren, which present the closest approximation to the Amphibia. The air bladder acts as a lung, and the nostrils open inside the mouth. See Ceratodus, and Illustration in Appendix.
v. t.
To mention or suggest as an estimate, hypothesis, or approximation; hence, to suppose; -- in the imperative, followed sometimes by the subjunctive; as, he had, say fifty thousand dollars; the fox had run, say ten miles.
a.
Pertaining to the first in time of the three subdivisions into which the Tertiary formation is divided by geologists, and alluding to the approximation in its life to that of the present era; as, Eocene deposits.
p. pr. & vb. n.
of Approximate
n.
The transient approximation of the edges of a natural opening; imperforation.
adv.
With approximation; so as to approximate; nearly.
n.
A supposed collection of particles of very subtile matter, endowed with a rapid rotary motion around an axis which was also the axis of a sun or a planet. Descartes attempted to account for the formation of the universe, and the movements of the bodies composing it, by a theory of vortices.
a.
Pertaining to, or involving, vitalism, or the theory of a special vital principle.