Any example of grand or exquisite diction may have been created by the poet who compiled numerous lays into the two works we possess or may be due to one of his completely unknown fellow-craftsmen.

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.

Any two black holes that share the same values for these properties, or parameters, are indistinguishable according to classical ( i. e. non-quantum ) mechanics.

Any solute partitions between two immiscible solvents.

Any two regular curves are locally isometric.

Note: Any nonlinear electronic block driven by two signals with frequencies f < sub > 1 </ sub > and f < sub > 2 </ sub > would generate intermodulation ( mixing ) products.

* Any two finite fields with the same number of elements are isomorphic.

# Any two points can be joined by a straight line.

* Extensibility: Any database system has its own predefined set of data types which we can use to build new types ( see Complex Objects ), but a purely extensible system is designed such that there are no logical differences between built-in ( or ' primitive ') data types and ' custom ' data types, though there may be strong differences in the way the two are implemented.

Any potato variety can also be propagated vegetatively by planting tubers, pieces of tubers, cut to include at least one or two eyes, or also by cuttings, a practice used in greenhouses for the production of healthy seed tubers.

Any sort of wavetable synthesis requires one of the two SH-2 processors to do this in software.

# Any live cell with fewer than two live neighbours dies, as if caused by under-population.

# Any live cell with two or three live neighbours lives on to the next generation.

In July 2006, a book, ' Peace at Any Price: How the World Failed Kosovo ', written by two former senior staffers at UNMIK, exposed a catalogue of errors and incompetence in the institution over its seven year history.

There are two exceptions: 1 ) Any affidavit sworn in the course of the collaboration and vouching documentation attaching to same and 2 ) any interim agreement made and signed off in the course of the collaboration or correspondence relating thereto.

Any induced noise would be present in equal amounts and in identical polarity on each of the balanced signal conductors, so the two signals ’ difference from each other would be unchanged.

Eastwood's only comedies have been Every Which Way but Loose ( 1978 ) and its sequel Any Which Way You Can ( 1980 ), which are his two most commercially successful films after adjustment for inflation.

Any player reduced to two pieces is unable to remove any more opposing pieces and thus loses the game.

* Any two vertices in G can be connected by a unique simple path.

Any two of these bases are conjugate to each other, and so any two can be used in the protocol.

Any discussion of the sources of Titus Andronicus is complicated by the existence of two other versions of the story ; a prose history and a ballad ( both of which are anonymous and undated ).

* Any topological space can be viewed as a category by taking the open sets as objects, and a single morphism between two open sets and if and only if.

Any category with this property is necessarily a thin category: for any two objects there can be at most one morphism from one object to the other.

Any non-zero change of direction is possible: if this distance is zero the velocities are reversed in the collision ; if it is close to the sum of the radii of the spheres the two bodies are only slightly deflected.

Any Banach algebra ( whether it has an identity element or not ) can be embedded isometrically into a unital Banach algebra so as to form a closed ideal of.

# Any collection of closed subsets of X with the finite intersection property has nonempty intersection.

* Any topologically closed subgroup of a Lie group is a Lie group.

* 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 closed interval b of real numbers is Lebesgue measurable, and its Lebesgue measure is the length b − a.

Any force that passes the closed path test for all possible closed paths is classified as a conservative force.

Any intersection of closed sets is closed ( including intersections of infinitely many closed sets ), and any union of finitely many closed sets is closed.

Eric Raymond extends this principle in support of open source security software, saying, " Any security software design that doesn't assume the enemy possesses the source code is already untrustworthy ; therefore, never trust closed source.

Any collection of subsets of a set X satisfying these properties forms a base for the closed sets of a topology on X.

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 of these will result in some power to the solenoid, but not enough to hold the heavy contacts closed, so the starter motor itself never spins, and the engine does not start.

" Robinson also returned to the stage in 1993 with a Broadway production of Frank Gilroy's Any Given Day, but the play closed after only six weeks.

Any small perturbation from the closed trajectory would cause the system to return to the limit cycle, making the system stick to the limit cycle.

Any compact orientable surface and any compact surface with non-empty boundary embeds in though any closed non-orientable surface needs.

Any loose thread can be cut off with scissors or tied together to form a closed circle.

Any closed 3-manifold is the boundary of a 4-manifold.

Any finite graph has a finite ( though perhaps exponential ) number of distinct simple cycles, and if the graph is embedded into three-dimensional space then each of these cycles forms a simple closed curve.

Any closed curve within the plane bounds a disk below the plane that does not pass through any other graph feature, and any closed curve through the apex bounds a disk above the plane that does not pass through any other graph feature.