Any such totality would itself have to be a set, thus lying somewhere within the hierarchy and thus failing to contain every set.

* Any finite topological space, including the empty set, is compact.

Any definition that attempts to set out the essence of something, such as that by genus and differentia, is an intensional definition.

Any consistent set of units may be used, although SI units are preferred.

* Any singleton set

Any regional variety of English has a set of political, social and cultural connotations attached to it, even the so-called ' standard ' forms.

Any partially ordered set I can be considered as a small category where the morphisms consist of arrows i → j if and only if i ≤ j.

: Premise: Any cognitive state occurs as part of a set of cognitive states and within a cognitive system

Any measurable subset of a null set is itself a null set.

* 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 slight initial imbalance between taste and tails may set off an explosion in tail lengths.

Any byte with the high bit set was a special Telnet character.

* Any attempt to set up a telecommunication circuit

Any given instruction set can be implemented in a variety of ways.

Any discussion of Muslim magic poses a double set of problems.

Any other cogenerator ( or cogenerating set ) can be used in this construction.

Any preordered set ( P, ≤) forms a small category, where the objects are the members of P, the morphisms are arrows pointing from x to y when x ≤ y.

Any ordinal number can be seen as a category when viewed as an ordered set.

Any given animal uses a relatively restricted set of gaits, and different species use different gaits.

Any statement that has a Y following the command letter is processed only if the match flag is set.

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

* Any partially ordered set can be interpreted as a category: the objects are the elements of, and there is a single morphism from to if and only if.

Any real analytic function on some open set on the real line can be extended to a complex analytic function on some open set of the complex plane.

* Any ring of matrices with coefficients in a commutative ring R forms an R-algebra under matrix addition and multiplication.

* 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 element in the direct sum of two vector spaces of matrices can be represented as a direct sum of two matrices.

* Any square matrix with unit Euclidean norm is the average of two unitary matrices.

Any unipotent algebraic group is isomorphic to a closed subgroup of the group of upper triangular matrices with diagonal entries 1, and conversely any such subgroup is unipotent.

Any 2 × 2 matrix can be written in the form, where I is the identity matrix, σ < sub > i </ sub > are the Pauli matrices and u is a unit vector.

Any attempt to reconcile this statement of the central issue in the campaign of 1956 with the nature of the man who could not conceive it as the central issue will at least resolve our confusions about the chaotic and misleading results of the earnestness of both doctors and President in a situation which should never have arisen.

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 street meeting, sacred or secular, which he and his colleagues uneasily cover has as its explicit or implicit burden the cruelty and injustice of the white domination.

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.

Section 72 says " Any person who takes part in a fight in a public place, or takes part in a fight of such a nature as to alarm the public in any other place to which the public have access, commits a misdemeanour.

Any difference between the hedged positions represents any remaining risk ( such as basis risk ) plus profit ; the belief is that there remains some difference which, even after hedging most risk, represents pure profit.

Any pellets which are too small to be finished granules of couscous and fall through the sieve will be again rolled and sprinkled with dry semolina and rolled into pellets.

# Any experience which is inconsistent with the organization of the structure of the self may be perceived as a threat, and the more of these perceptions there are, the more rigidly the self structure is organized to maintain itself.

Any violations of Ahura Mazda's order arise from druj, which is everything uncreated.

Any configuration of charges or currents has a ' dipole moment ', which describes the dipole whose field is the best approximation, at large distances, to that of the given configuration.

Any convex polyhedron can be distorted into a canonical form, in which a midsphere ( or intersphere ) exists tangent to every edge, such that the average position of these points is the center of the sphere, and this form is unique up to congruences.

Any function itself defines an equivalence relation on according to which if and only if.

Any byte in the entire file can be owned by at most one section, and there can be orphan bytes which are not owned by any section.

Any theory in which these principles apply produces the inequalities.

Any field may be used as the scalars for a vector space, which is the standard general context for linear algebra.

* push in the back – Any tackle which forces the player forward, into the ground, or both, from behind.

Any movement ( from straight and level flight for example ) results in signals to the computer, which automatically moves control actuators to stabilize the aircraft.

Any greater precision depends more on choice of standard than on more careful measurement: the length of the equator in the World Geodetic System WGS-84 is 40, 075, 016. 6856 m which makes the geographical mile 1855. 3248 m, while the International Astronomical Union standard IAU-2000 takes the equator to be 40, 075, 035. 5351 m making the geographical mile 1855. 3257 m, almost a millimetre longer.

Any player entering or leaving the play must cross the substitution line which is part of the side line and extends 4. 5 meters from the middle line to the team's side.

Under Bogart's Santana Productions, which released through Columbia Pictures, Bogart starred in Knock on Any Door ( 1949 ), Tokyo Joe ( 1949 ), In a Lonely Place ( 1950 ), Sirocco ( 1951 ) and Beat the Devil ( 1954 ).

Any ecstatic states or other unusual phenomena which may occur in the course of Hesychast practice are considered secondary and unimportant, even quite dangerous.

Any thunderstorm which produces hail that reaches the ground is known as a hailstorm.

Any foreigners who came to Paraguay during his rule ( which would have been very difficult ) were not allowed to leave for the rest of their life.

# Any true image of Jesus must be able to represent both his divine nature ( which is impossible because it cannot be seen nor encompassed ) as well his human nature.

Any appeals for which notice is filed after that date will be handled by the Residual Mechanism.