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 ordinal number can be made into a topological space by endowing it with the order topology ( since, being well-ordered, an ordinal is in particular totally ordered ): in the absence of indication to the contrary, it is always that order topology which is meant when an ordinal is thought of as a topological space.

Any number field that is Galois over the rationals must be either totally real or totally imaginary.

Any one of the three can render an aircraft partially or totally uncontrollable anytime during the landing roll.

Any proposal to mine uranium would require a totally new application and environmental assessment as a separate project.

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.

Any Dedekind-complete ordered field is isomorphic to the real numbers.

Any variations to standardized text were invalidated and ordered to be destroyed, all other versions of the Quran copied by scribes subsequently were from this codex.

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

* 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Any American troops in the vicinity of Argentan were ordered to be withdrawn.

Any one of these models must be explicitly constructed, and most of these models are built using the basic properties of the rational number system as an ordered field.

Any supplementary seats won by a party are filled from an ordered list of nominated candidates

Any other ordered pair of symbols may be used instead of 0 and 1 ; the logical structure of the Thue – Morse sequence does not depend on the symbols that are used to represent it.

* Single cards: Any card from the deck, ordered by rank with suit being the tie-breaker.

* Pairs: Any two cards of matching rank, ordered as with singular cards by the card of the higher suit.

Any version could be ordered to operate on the railroad signal standard of 8 volts DC ( VDC ) current or the 600 VDC used to power streetcars and electric locomotives, with little more than a change in the electromagnets.

Any. ca registration has to be ordered via a certified registrar.

Any pa ( or sentential logic ) formula B can be viewed as an ordered tree with branches.

" Any other officer who from conscientious or other motives is not prepared to carry out his duty as ordered, should say so at once.

Any linearly ordered set that is infinitely divisible and gapless, and has more than one member, is uncountably infinite.

Any. be registration has to be ordered via a registered agent.

The theorem states: Any linearly ordered abelian group can be embedded as an ordered subgroup of the additive group ℝ < sup > Ω </ sup > endowed with a lexicographical order, where ℝ is the additive group of real numbers ( with its standard order ), and Ω is the set of Archimedean equivalence classes of.

Any normal ordered operator therefore has a vacuum expectation value of zero.

On March 6, 1968, Hubbard issued an internal memo titled " RACKET EXPOSED ," in which he denounced twelve people ( Peter Goodwin, Jim Stathis, Peter Knight, Mrs. Knight, Nora Goodwin, Ron Frost, Margaret Frost, Nina Collingwood, Freda Gaiman, Frank Manley, Mary Ann Taylor, and George Wateridge ) as " Enemies of mankind, the planet and all life ," and ordered that " Any Sea Org member contacting any of them is to use Auditing Process R2-45.

Any linearly ordered space that is connected and has a top and a bottom element is a fixed point space.

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.

: 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 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 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.