Any-sheaf-has-a-canonical-embedding-into-the-flasq

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Any and sheaf

* Any continuous map of topological spaces determines a sheaf of sets.

* Any basis of the fiber of a coherent sheaf F at a point comes from a minimal basis of local sections.

Any and has

Any tragedy, he maintains, has six elements: plot, character, and thought ( the objects of imitation ), diction and melody ( the means of imitation ), and spectacle ( the manner of imitation ).

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 string s has at least one description, namely the program:

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 individual has one of six possible genotypes ( AA, AO, BB, BO, AB, and OO ) that produce one of four possible phenotypes: " A " ( produced by AA homozygous and AO heterozygous genotypes ), " B " ( produced by BB homozygous and BO heterozygous genotypes ), " AB " heterozygotes, and " O " homozygotes.

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 young player who has good control will become a successful curve pitcher long before the pitcher who is endeavoring to master both curves and control at the same time.

Any use of the term " Cathar " to refer to people after the suppression of Catharism in the 14th century is a cultural or ancestral reference, and has no religious implication.

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 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 such poset has a dual poset.

:* Any total order on X has exactly one equivalence class, X itself, because x ~ y for all x and y ;

:* Any subset of the identity relation on X has equivalence classes that are the singletons of X.

# Disturbed natural forest – Any forest type above that has in its interior significant areas of disturbance by people, including clearing, felling for wood extraction, anthropogenic fires, road construction, etc.

Any symbolism has been added later to the three colours, although the orange comes from the House of Orange-Nassau.

Any normal subgroup has a corresponding quotient group, formed from the larger group by eliminating the distinction between elements of the subgroup.

For instance, the Archbishop of Wales has criticized " atheistic fundamentalism " broadly and said " Any kind of fundamentalism, be it Biblical, atheistic or Islamic, is dangerous ".

Any attempt to define it ( X is good if it has property Y ) will simply shift the problem ( Why is Y-ness good in the first place?

Any right action has an equivalent left action, thus only left actions can be considered without any loss of generality.

Any one language has only a subset of the aspectual distinctions attested in the world's languages, and some languages ( such as Standard German ; see below ) do not have aspects.

In an inertial frame, Newton's first law ( the law of inertia ) is satisfied: Any free motion has a constant magnitude and direction.

Any conductor has inductance.

Any and canonical

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 ellipse can be obtained by rotation and translation of a canonical ellipse with the proper semi-diameters.

Any Lie group G can be decomposed into discrete, simple, and abelian groups in a canonical way as follows.

Any particular Boolean function can be represented by one and only one full disjunctive normal form, one of the two canonical forms.

Any two meromorphic 1-forms will yield linearly equivalent divisors, so the canonical divisor is uniquely determined up to linear equivalence ( hence " the " canonical divisor ).

Any ξ ∈ gives rise to a canonical vertical vector field X < sub > ξ </ sub > by taking the derivative of the right action of the 1-parameter subgroup of H associated to ξ.

Any canonical transformation involving a type-2 generating function G < sub > 2 </ sub >( q, P, t ) leads to the relations

The canonical ring and therefore likewise the Kodaira dimension is a birational invariant: Any birational map between smooth compact complex manifolds induces an isomorphism between the respective canonical rings.

* Any base change of a finite morphism is finite, i. e. if is another ( arbitrary ) morphism, then the canonical morphism is finite.

Any and into

Any and all payments required to be made by the Secretary of the Treasury under this title pursuant to any award made by the Commission to the Government of the United States shall be covered into the Treasury to the credit of miscellaneous receipts.

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 action is understood to create " seeds " in the mind that sprout into the appropriate results ( Pāli vipaka ) when they meet the right conditions.

Any company incorporating Bluetooth wireless technology into products, using the technology to offer goods and services or simply re-branding a product with Bluetooth technology must become a member of the Bluetooth SIG.

* Any locally compact Hausdorff space can be turned into a compact space by adding a single point to it, by means of Alexandroff one-point compactification.

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 Digimon that receives a fatal wound will dissolve into infinitesimal bits of data.

Any type of electromagnetic energy can be transformed into thermal energy in interaction with matter.

Any form of energy may be transformed into another form.

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

Any heat that isn't translated into work is normally considered a waste product and is removed from the engine either by an air or liquid cooling system.

Any action is understood as creating " seeds " in the mind that will sprout into the appropriate result ( Pāli vipaka ) when met with the right conditions.

The director, Terry Jones, issued the following riposte to this criticism: " Any religion that makes a form of torture into an icon that they worship seems to me a pretty sick sort of religion quite honestly ".

Any compression algorithm can be viewed as a function that maps sequences of units ( normally octets ) into other sequences of the same units.

Any object gravitationally held by the rotating Earth – Moon system will be attracted to the barycenter to an equal and opposite degree as its tendency to fly off into space.

Any policy built into the kernel cannot be overwritten at user level and therefore limits the generality of the microkernel.

Any mutual recursion can be converted to direct recursion by inlining the code of one procedure into the other.

Any maze can be mapped into a higher dimension without changing its topology.

Any water seeping into the tank ’ s hull could be removed via an internal bilge pump.

Any framework that implements the OSGi standard provides an environment for the modularization of applications into smaller bundles.

Any polynomial may be decomposed into the product of a constant by a product of irreducible polynomials.

Any Hohenstaufen in Sicily was bound to have claims over the cities of Lombardy, and as a check to Manfred, Urban IV introduced Charles of Anjou into the equation to place the crown of the Two Sicilies in the hands of a monarch amenable to papal control.

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