The remedy proposed was to switch to the much simpler Affix Grammar over a Finite Lattice (AGFL) instead, in which metagrammars can only produce simple finite languages.
Finite set, whose cardinality (number of elements) is some natural number
Finite field | Finite element method | Representation theory of finite groups | finite element method | Locally finite measure | Finite state transducer | Finite set | Finite impulse response | finite geometry | finite field | Finite element method in structural mechanics | Finite Element Method | Finite |
This role required him to carry out the design from clean sheet to final drawings in SolidWorks and Inventor, including structural analysis using the finite element method and hand calculations, as well as spindle design, drivetrain sizing, and servo actuator selection.
Advanced meshing engine: "grid" or Delauney mesh algorithm, finite elements with 3, 4, 6 or 9 nodes, progressive meshing, refinement tools, global mesh parameters.
For example, the circle method of Hardy and Littlewood was conceived as applying to power series near the unit circle in the complex plane; it is now thought of in terms of finite exponential sums (that is, on the unit circle, but with the power series truncated).
Approximate finite dimensionality was first defined and described combinatorially by Bratteli.
Levin, Janna, How the Universe Got Its Spots: Diary of a Finite Time in a Finite Space, Random House 2002 ISBN 1-4000-3272-5
The Blahut–Arimoto algorithm, co-invented by Richard Blahut, is an elegant iterative technique for numerically obtaining rate–distortion functions of arbitrary finite input/output alphabet sources.
The block Wiedemann algorithm for computing kernel vectors of a matrix over a finite field is a generalisation of an algorithm due to Don Coppersmith.
Properties of sets of small finite ranks are important in measure theory and analysis.
Lord Vishnu who is said to live in Vaikuntha is a finite form of the infinite formless, timeless Narayana.
Farhat led the development of the Finite Element Tearing and Interconnecting (FETI) method for the scalable solution of large-scale systems of equations on massively parallel processors.
University of Rome and in 1975 a Ph.D. from the University of Warwick under the supervision of George Lusztig (The mod-2 Cohomology of the orthogonal groups over a finite field).
A typical setting is a finite family of convex figures in the Euclidean space Rd that are homothetic to a given X, for example, a square as in the original question, a disk, or a d-dimensional cube.
Derjaguin approximation, expression of force profile interaction between finite size bodies
An example of this approach is the research by Chang et al. and also Jing who resolved this problem by adding finite element meshes in the two-dimensional domain of the blocks so that stress variations within the blocks can be allowed.
Algebraic expression, a mathematical expression in terms of a finite number of algebraic operations (addition, subtraction, multiplication, division and exponentiation by a rational exponent)
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Analytical expression, a mathematical expression in terms of a finite or infinite number of well-known functions
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Closed-form expression, a mathematical expression in terms of a finite number of well-known functions
Hall's marriage theorem, due to Philip Hall gives necessary and sufficient conditions for a finite family of non-empty sets (repetitions allowed) to have a system of distinct representatives.
Fuel and ammunition are finite for vehicles and primary weapons, while infantry have unlimited fuel and secondary weapons have unlimited ammunition.
The finite dimensional case differs from the general von Neumann algebras in that topology plays no role and they can be characterized using Wedderburn's theory of semisimple algebras.
For finite projective spaces of geometric dimension at least three, Wedderburn's little theorem implies that the division ring over which the projective space is defined must be a finite field, GF(q), whose order (that is, number of elements) is q (a prime power).
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In 1892, Gino Fano was the first to consider such a finite geometry – a three dimensional geometry containing 15 points, 35 lines, and 15 planes, with each plane containing 7 points and 7 lines.
#An Analysis of the Finite Element Method, with George Fix (1973, 2008)
Deligne–Lusztig theory (Green function) in the representation theory of finite groups of Lie type.
in Invariant theory a finite set of invariant polynomials, such that every invariant polynomial may be written as a polynomial function of these basis elements
For example, in German, the infinitive form of the verb usually goes to the end of its clause, whereas a finite verb (in an independent clause) typically comes in second position.
This application of finite-state transducers to phonology and morphology was initially implemented for Finnish, but it soon proved to be useful for other languages with complex morphology such as Basque.
Ladyzhenskaya-Babuska-Brezzi conditions for stability in mixed finite element analysis
The first element is lind f 'linden' (Tilia cordata), the last element is the finite form of øy f 'island'.
Ian Grojnowski and Mark Haiman (preprint) proved a positivity conjecture for LLT polynomials that combined with the previous result implies the Macdonald positivity conjecture for Macdonald polynomials, and extended the definition of LLT polynomials to arbitrary finite root systems.
The name of the valley is a compound of lo which means "meadow" (see also Lom) and the finite form of dal which means "dale" or "valley".
Given the system is in equilibrium at time 0, we can compute the cumulative distribution function of the process maximum over a finite time horizon T in terms of Charlier polynomials.
Those most popular in the literature are three-valued (e.g., Łukasiewicz's and Kleene's, which accept the values "true", "false", and "unknown"), the finite-valued with more than three values, and the infinite-valued, such as fuzzy logic and probability logic.
Mark Kac, Probability and related topics in the physical sciences. 1959 (with contributions by Uhlenbeck on the Boltzmann equation, Hibbs on quantum mechanics, and van der Pol on finite difference analogues of the wave and potential equations, Boulder Seminar 1957).
Skagen is the finite form of skage which means "headland" or "promontory" and the name is equivalent with the famous Skagen in Denmark.
In signal processing, the multitaper method is a technique developed by David J. Thomson to estimate the power spectrum SX of a stationary ergodic finite-variance random process X, given a finite contiguous realization of X as data.
Poet Edgar Allan Poe suggested that the finite size of the observable universe resolves the apparent paradox.
The Blahut–Arimoto algorithm, co-invented by Richard Blahut, is an elegant iterative technique for numerically obtaining rate–distortion functions of arbitrary finite input/output alphabet sources and much work has been done to extend it to more general problem instances.
This is the spectral theorem in mathematics, and in a finite state space it is just a statement of the completeness of the eigenvectors of a Hermitian matrix.
If V is finite dimensional with a given basis, this is equivalent to the condition that the matrix of A is Hermitian, i.e., equal to its conjugate transpose A*.
Simplex category, the category of finite ordinals and order-preserving functions
The first element is stor meaning "big" and the last element is the finite singular form of syl which means "awl".
The finite Thompson subgroup of a p-group, the subgroup generated by the abelian subgroups of maximal order.
Her main research contributions are in computable structure theory (roughly at the intersection of computability theory and model theory), where she introduced the notion of degree spectra of relations on computable structures and obtained first significant results concerning uncountable, countable and finite Turing degree spectra.
His thesis, titled Actions of finite groups on the hyperfinite II1 factor, was written under the supervision of André Haefliger.
In his thesis, Messing elaborated on Grothendieck's 1970 lecture at the International Congress of Mathematicians in Nice on p-divisible groups (Barsotti–Tate groups) that are important in algebraic geometry in prime characteristic, which were introduced in the 1950s by Dieudonné in his study of Lie algebras over fields of finite characteristic.