Any subset of B is also well-ordered.

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 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.

The prohibition against retaliation or coercion applies broadly to any individual or entity that seeks to prevent an individual from exercising his or her rights or to retaliate against him or her for having exercised those rights ... Any form of retaliation or coercion, including threats, intimidation, or interference, is prohibited if it is intended to interfere.

* " Any police-initiated action that relies on the race, ethnicity, or national origin rather than the behavior of an individual or information that leads the police to a particular individual who has been identified as being, or having been, engaged in criminal activity.

Though having been gone for a few episodes ( and thought to have been " retired "), Comic Book Guy made an appearance in an episode that aired later in the season, " Any Given Sundance ".

Any person over the age of majority and of sound mind ( having appropriate mental capacity ) can draft his own will with or without the aid of a lawyer.

Any member of the House can introduce a bill at any time, while the House is in session, by placing ( or most likely having a page place ) a signed copy of the bill in the " hopper " at the side of the Clerk's desk on the Rostrum.

Any British ship that tried to leave would have faced the full firepower of the German ships ; having a vessel sunk might also have blocked the rest of the British squadron inside the harbour.

* Any repunit in any base having a composite number of digits is necessarily composite.

The Lokasenna depicts the two of them taunting each other with it, as having been women through and through, having borne children ( Any myths that depict Odin in female form have been lost, but the Lokasenna does contain references to many myths that are known to be believed ).

Edge Reconstruction Conjecture: ( Harary, 1964 ) Any two graphs with at least four edges and having the same edge-decks are isomorphic.

# Any foreign vessel during a voyage having a scheduled departure from or arrival in the United States with respect to an offense committed by or against a national of the United States

Any song that he had heard or read being attested as having been ever " used as shanty " was included — regardless of whether that song was not generally known as a shanty or if its use as a shanty was rare and incidental.

* Any swimmer having finished his race, or their distance in a relay event, must leave the pool as soon as possible without obstructing any other swimmer who has not yet finished their race.

Any person or body holding the honorary freedom of any place ... formerly having the status of a city, burgh or royal burgh continued to enjoy that status after the 1975 reorganisation.

Any stick that stands proud of the rest ( because it is resting on a protrusion, not having bounced off ) is considered part of the divined answer.

Any on-signal could in any case last no shorter than 8 ms, however, both because of having to restrict the occupied bandwidth on the radio, but also for reasons having to do with the mechanical makeup of the receiving machinery.

Any such person as aforesaid shall not continue to perform the functions of the office of Governor-General if the holder of the office of Governor-General or some other person having a prior right to perform the functions of that office has notified him that he is about to assume or resume those functions.

In the US, shotguns originally manufactured without shoulder stocks, having their barrels shortened to under 18 inches, are classified as an " Any Other Weapon " by the BATFE and have a $ 5 transfer tax, if they are manufactured by a maker possessing the appropriate Class 2 Special Occupational Taxpayer Federal Firearms License.

Through an evaluation and bidding process, the Apple II was chosen by MECC for state schools over other candidates, such as the Radio Shack TRS-80 ; the win was an important early deal in the history of Apple Inc. Any school in the state could buy Apple computers through MECC for a substantial discount without having to go through complex evaluation and purchasing procedures.

Any stations having information concerning the whereabouts of the named vessel are asked to communicate with and report same to the nearest coast guard station.

Any compound having a catechol structure, like catecholestrogens and catechol-containing flavonoids, are substrates of COMT.

Any such plate performs somewhat like a lens, each plate having a specific focal length for any given wavelength.

Any Biblical or Talmudic phrases which seem to imply that any quality of creation applies to Him must be understood as having some meaning other than its literal meaning, for He transcends all aspects of creation.