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

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 well-ordered set having that ordinal as its order type has the same cardinality.

Any organism that falters or misperceives the signals or weakens is done.

Any information we have here in Taiwan is at your disposal ''.

Any claimant whose claim is denied, or is approved for less than the full amount of such claim, shall be entitled, under such regulations as the Commission may prescribe, to a hearing before the Commission, or its duly authorized representatives, with respect to such claim.

Any alteration of one of these factors is distortion, although we generally use that word only for effects so pronounced that they can be stated quantitatively on the basis of standard tests.

Any musician playing Beethoven here, where Beethoven was born, is likely to examine his own interpretations with special care.

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 union of countably many countable sets is itself countable.

Any information may be conveyed by an analog signal ; often such a signal is a measured response to changes in physical phenomena, such as sound, light, temperature, position, or pressure.

Any quantity of energy absorbed by the electron in excess of this amount is converted to kinetic energy according to the conservation of energy.

Any breach of these laws is a criminal offence and can lead to fine of up to £ 5, 000 or six months in prison.

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 word or phrase that exactly reproduces the letters in another order is an anagram.

Any work ( δW ) done must be done at the expense of internal energy U, since no heat δQ is being supplied from the surroundings.

" Any threat of war Clovis could make would only be effective if they were neighbors ; " it is nowhere written that Syagrius was handed over in 486 or 487.

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 person who is seen as a threat to civil aviation is banned from flying.

* Any ring of characteristic n is a ( Z / nZ )- algebra in the same way.

* Any ring A is an algebra over its center Z ( A ), or over any subring of its center.

* Any commutative ring R is an algebra over itself, or any subring of R.

Any form of intelligent life would do ; so, specifying carbon-based life, per se, is irrelevant.

* Any base that is water-soluble and forms hydroxide ions or the solution of a base in water.

Any number of players may be replaced by substitutes during the course of the game.

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 undergraduate course in trade theory includes a presentation of Ricardo's example of a two-commodity, two-country model.

However, in the case of a finitely presented group we know that not all the generators can be trivial ( Any individual generator could be, of course ).

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 fish can theoretically be caught with any rod, of course, but catching panfish on a heavy rod offers no sport whatsoever, and successfully landing a large fish on an ultralight rod requires supreme rod handling skills at best, and more frequently ends in broken tackle and a lost fish.

* Any downward motion of the bar during the course of being pressed out.

Any traveller attempting to pass into the eastern regions of Middle-earth would have to cross the Anduin at some point along its long course ( unless one passed through the extreme north, risking a passage through the Grey Mountains ).

Any pre-existing structures were used as trenches, the best known example is the bobsleigh course on Trebević, which was used by both Serb and Bosniak during the siege.

Any doubts the remaining members may have had over the wisdom of this course were suppressed by the presence of the Army in great numbers.

Any authority can, of course, claim ETJ over any external territory they wish.

Any possible course of experience resulting from a possible course of action will apparently underdetermine our surroundings: it would determine, for example, that there is either white wallpaper under red light or red wallpaper under white light, and so on.

Ford followed the course of the basic Model N, and had said " Any customer can have a car painted any color that he wants so long as it is black.

Wiley published several books during the course of his career, including Serenity, A Boxing Memoir ; Why Black People Tend To Shout ; and By Any Means Necessary: The Trials and Tribulations of Making Malcolm X, with Spike Lee.

In the 1949 talk, Von Neumann famously quipped that, " Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin.

Any residual matter should be metabolized in the course of the subsequent healing process, generally aided by regular appliance of dry heat.

Any rider, of course, can improve his climbing speed by increasing his aerobic power and reducing his body weight and can increase his descending speed through better bike handling and the willingness to accept an increased risk of crashing.

* Aid to Navigation: ( ATON ) Any device external to a vessel or aircraft specifically intended to assist navigators in determining their position or safe course, or to warn them of dangers or obstructions to navigation.

Any alteration in course would have actually caused a collision.

Have an Associate Degree in Pharmacy Technology OR Any other course that provides a minimum of 240 hours of instruction as specified in Title 16 California Code of Regulation section 1793. 6 ( c ) OR A training course accredited by the American Society of Health-System Pharmacists ( ASHP ) OR Graduation from a school of pharmacy accredited by the Accreditation Council for Pharmacy Education ( ACPE ).

Any continues used during the course of play will reset the running score.