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Page "Tournament (graph theory)" ¶ 2
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Any and tournament
# Any player qualifying from the Interzonal tournament to play in the Candidates Tournament, even if he did not play in the Candidates for any reason.
* Any tournament featuring 3 national representative teams, for example in Netball.
In August 2002, this position was codified ( after being recognized as the existing status quo ) by the USCF Policy Board with the passage of a motion stating " Any USCF member who has had a regular post tournament rating of 2200 or higher ( published or not ) has demonstrated a significant level of chess ability and is recognized by being automatically awarded the lifetime title of National Master.
Any player who turns in a score higher than the " cut line " will " miss the cut " and take no further part in the tournament.
* Any pre-2000 winner of the tournament itself, as well as any pre-2000 winner of The Masters, U. S. Open, British Open, PGA Championship or The Players Championship, is eligible.

Any and on
Any alteration of one of these factors is distortion, although we generally use that word only for effects so pronounced that they can be stated quantitatively on the basis of standard tests.
Any irregularity on the piston heads will make it impossible, with normal means, to determine the final combustion chamber volume because the volume displaced by the piston heads cannot be readily computed.
Any free elections that were to be held in Poland would have to produce a government in which Moscow had complete confidence, and all pressure from the West for free voting by anti-Soviet elements in Poland would be met by restrictions on voting by these elements.
Any adjustments which are made, Mr. Grenier said earlier this month, will appear on the balance of the tax bill since most of the town's taxpayers take the option of paying quarterly with the balance due next year.
Any decline in amphibian numbers will have an impact on the patterns of predation.
Any historical material on anagrams must always be interpreted in terms of the assumptions and spellings that were current for the language in question.
Any player may declare the game over at any time during his turn if either of two conditions is true: one chain has 41 or more tiles, or there is at least one chain on the board and every chain on the board has 11 or more tiles.
Most of the C code being written nowadays is based on ANSI C. Any program written only in standard C and without any hardware dependent assumptions is virtually guaranteed to compile correctly on any platform with a conforming C implementation.
Any alcohol ( beer, wine, spirits ) cannot be bought on Sundays before noon.
Any player is usually allowed to control or bet in as many boxes as desired at a single table, but it is prohibited for an individual to play on more than one table at a time or to place multiple bets within a single box.
Any measure μ defined on the σ-algebra of Borel sets is called a Borel measure.
Any desired arbitration logic is placed on the daughter cards.
Any attempt to impose an organization on them is bound to be somewhat arbitrary.
Any differential area with normal vector of a given internal surface area, bounding a portion of the body, experiences a contact force arising from the contact between both portions of the body on each side of, and it is given by
The Environmental Modification Convention ( ENMOD ), formally the Convention on the Prohibition of Military or Any Other Hostile Use of Environmental Modification Techniques is an international treaty prohibiting the military or other hostile use of environmental modification techniques.
One episode in Series 5 of Steptoe and Son was entitled " Any Old Iron ", for the same reason, when Albert thinks that Harold is ' on the turn '.
Any piece of DNA with the point centromere DNA sequence on it will typically form a centomere if present in the appropriate species.
Any person who felt himself wronged might lay an information before the Council of Areopagus, on declaring what law was broken by the wrong done to him.
Any elected or appointed board, committee, town officer or ten voters, may place an article on the warrant.
Any rain falling on the above-water rim quickly percolates through the surface sand and encounters the salt water underneath.
* 1976 – The United Nations General Assembly adopts the Convention on the Prohibition of Military or Any Other Hostile Use of Environmental Modification Techniques.
Any player on the kicking team behind the kicker, and including the kicker, can recover the kick.
:* Any total order on X has exactly one equivalence class, X itself, because x ~ y for all x and y ;

Any and finite
* Any finite topological space, including the empty set, is compact.
# Any collection of closed subsets of X with the finite intersection property has nonempty intersection.
Any rational number with a denominator whose only prime factors are 2 and / or 5 may be precisely expressed as a decimal fraction and has a finite decimal expansion.
* Any two finite fields with the same number of elements are isomorphic.
# Any finite straight line can be extended in a straight line.
* Any simply connected solvable Lie group is isomorphic to a closed subgroup of the group of invertible upper triangular matrices of some rank, and any finite dimensional irreducible representation of such a group is 1 dimensional.
* Any simply connected nilpotent Lie group is isomorphic to a closed subgroup of the group of invertible upper triangular matrices with 1's on the diagonal of some rank, and any finite dimensional irreducible representation of such a group is 1 dimensional.
Any meaningful theory of quantum gravity that makes sense and is predictive at all energy scales must have some deep principle that reduces the infinitely many unknown parameters to a finite number that can then be measured.
Any topological space which is itself finite or countably infinite is separable, for the whole space is a countable dense subset of itself.
Any symmetry group whose elements have a common fixed point, which is true for all finite symmetry groups and also for the symmetry groups of bounded figures, can be represented as a subgroup of orthogonal group O ( n ) by choosing the origin to be a fixed point.
Any finite number of initial terms of the Taylor series of a function is called a Taylor polynomial.
Any digital modulation scheme uses a finite number of distinct signals to represent digital data.
Any finite product in a preadditive category must also be a coproduct, and conversely.
Any finite subcover of this cover must be bounded, because all balls in the subcover are contained in the largest open ball within that subcover.
According to the historian of science Norwood Russell Hanson: There is no bilaterally-symmetrical, nor excentrically-periodic curve used in any branch of astrophysics or observational astronomy which could not be smoothly plotted as the resultant motion of a point turning within a constellation of epicycles, finite in number, revolving around a fixed deferent. Any path — periodic or not, closed or open — can be represented with an infinite number of epicycles.
Any rational function of a real variable can be written as the sum of a polynomial function and a finite number of algebraic fractions.
* Any finite contiguous subsequence of a word
Any finite extension of a finite field is a cyclic extension.
Any structure implicit in the finite entropy against a quantum description could then be totally washed out by the huge injection of uncertainty this projection represents.
Any Calabi – Yau manifold has a finite cover that is the product of a torus and a simply-connected Calabi – Yau manifold.
Any finite simplicial complex in the sense talked about here can be embedded as a polytope in that sense, in some large number of dimensions.
Any Fredholm operator has an index, defined as the difference between the ( finite ) dimension of the kernel of D ( solutions of Df = 0 ), and the ( finite ) dimension of the cokernel of D ( the constraints on the right-hand-side of an inhomogeneous equation like Df
* Any category with finite products is monoidal with the product as the monoidal product and the terminal object as the unit.

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