* Any coset of a subspace of a vector space is an affine space over that subspace.

Any affine group scheme is the spectrum of a commutative Hopf algebra ( over a base S, this is given by the relative spectrum of an O < sub > S </ sub >- algebra ).

Any affine scheme is separated, therefore any scheme is locally separated.

Any action of the group by continuous affine transformations on a compact convex subset of a ( separable ) locally convex topological vector space has a fixed point.

Any two affine parameters are linearly related.

Any conformal map on a portion of Euclidean space of dimension greater than 2 can be composed from three types of transformation: a homothetic transformation, an isometry, and a special conformal transformation.

Any such stress-energy pseudotensor can be made to vanish locally by a coordinate transformation.

: Any linear transformation f: V → A from V to an algebra A over K can be uniquely extended to an algebra homomorphism from T ( V ) to A as indicated by the following commutative diagram:

Any transformation of the plane leaving this pattern invariant can be decomposed into a translation, ( x, y ) → ( n + x, y ), optionally followed by a reflection in either the horizontal axis, ( x, y ) → ( x ,− y ), or the vertical axis, ( x, y ) → (− x, y ), provided that this axis is chosen through or midway between two dots, or a rotation by 180 °, ( x, y ) → (− x ,− y ) ( ditto ).

Any waveform can be disassembled into its spectral components by Fourier analysis or Fourier transformation.

Any segments of the enterprise that are not service-oriented can also be documented in order to consider transformation requirements if a service needs to communicate with the business processes automated by such segments.

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

Any transformation semigroup can be turned into a semigroup action by the following construction.

Any two triplets obeying these relationships must be related by a linear transformation ; they represent utility indices differing only by scale and origin.

Any two detailed configurations in the same equivalence class are related by a gauge transformation, equivalent to a shear along unphysical axes in configuration space.

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 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.

The blitter's block copying mode takes zero to three data sources in memory, called A, B and C, performs a programmable boolean function on the data sources and writes the result to a destination area, D. Any of these four areas can overlap.

Any architectural project we do takes at least four or five years, so increasingly there is a discrepancy between the acceleration of culture and the continuing slowness of architecture.

Any energy released by the explosion not radiated away in the burst itself takes the form of matter or energy moving outward at nearly the speed of light.

Any particular instruction takes the same amount of time to complete, a time known as the latency, but the CPU can process an entire batch of operations much faster than if it did so one at a time.

Any player ( or, in some variations, only the dealer ) may at any time announce " point of order ," ( could also be " Court of Law " or " Point of Information " or " Point of Interest " or " Pevis " or " Coffee Break ") which is a signal for all players to put down their cards, while discussion takes place.

Any argument that takes the following form is a non sequitur

( a ) Any act of the executive or of the Legislature which takes away or abridges the fundamental rights shall be void and the courts are empowered to declare such act as void.

The weekday editions are usually presented by Eddie Mair, although Carolyn Quinn takes over when he deputises for Jonathan Dimbleby on Any Questions.

Any bill passed by the Legislature takes effect 90 days after its passage unless two-thirds of each house votes to give the bill either immediate effect or earlier effect.

Any step which takes him away from Judaism is not for him a step forward, is not progress.

Any assessment usually takes their concerns into account.

Any attempt to do so takes effect as a power to appoint an administrator.

" Any dispute that takes place in the context of a church, mosque or synagogue would be ripe for federal intervention.

Any number of First Aid cards may be played at the same time, either on a player's turn, or as a last-ditch defense if a player takes enough damage from an attack that he or she would otherwise be out of the game.

Any punishment ( in the sense of a loss of freedom or permanent financial penalty ) takes the form of loss of the surety if the defendant fails to keep the peace or be of good behaviour during the period for which he is bound over.

Any desired ethical statement, including a negation of Nozick's position, can easily be " proved " with apparent rigor as long as one takes the licence to simply establish a grounding principle by assertion.

Any issue that NYPIRG works on, or stance it takes, must be approved by its student board of directors.

Any climbing activity usually takes place above deep water, with safety spotters used where appropriate.

One definition of mobile learning is: Any sort of learning that happens when the learner is not at a fixed, predetermined location, or learning that happens when the learner takes advantage of the learning opportunities offered by mobile technologies.

* Any single-seat constituency where turnout was over 50 % and one candidate received over 50 % of the votes is won by that candidate, and no second round takes place.

Any particular extension system can be described both in terms of both how communication takes place and why it takes place.

* Any line through the midpoint of a parallelogram bisects the area.

Any line through the midpoint of a parallelogram bisects the area.

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

Any player may block another player's passage, so long as he does not hold or trip the player he intends to block.

Any form of energy may be transformed into another form.

Any subset of R < sup > n </ sup > ( with its subspace topology ) that is homeomorphic to another open subset of R < sup > n </ sup > is itself open.

Any hope Oxford might have had of assuming parental care of his daughters was dashed by Sir Robert Cecil, due to the fact that he had never supported them financially in the past, and now had yet another wife and child.

Any fire in a crew space will be automatically extinguished with Halon or another fire suppressant.

Any communication to another system in the galaxy has to be recorded on a physical disc which is transported through the wormhole ; chains of these are referenced in Diplomatic Immunity ( Chapter 9 ) where messages are ' squirted ' to a station on one side of a wormhole, flown ( on a physical medium ) through the wormhole and re-squirted to a similar arrangement at the next wormhole in the sequence.

Any attempt to measure this voltage necessarily involves connecting another conductor to the " hot " end.

Any process that is unsuccessful in setting the flag can either go on to do other tasks and try again later, release the processor to another process and try again later, or continue to loop while checking the flag until it is successful in acquiring it.

# Any call using a single switching center ; that is, not traveling to another telephone network ;

Any contracting state to the European Convention on Human Rights can sue another contracting state in the Court for alleged breaches of the Convention.

Any given test can be spoofed one way or another, with varying degrees of difficulty.

Any change in one tends to bring about changes in another.

Any level headed person would not want to maim or kill another human being if he knows that he can do it at will.

Any fraudulent use or intent, such as changing the name to the same name as another person's name, may invalidate this type of name change.

Any resemblance to the name Midas, another mythical king of Phrygia, may be entirely coincidental.

Today lynching is a felony in all states of the United States, defined by some codes of law as " Any act of violence inflicted by a mob upon the body of another person which results in the death of the person ," with a " mob " being defined as " the assemblage of two or more persons, without color or authority of law, for the premeditated purpose and with the premeditated intent of committing an act of violence upon the person of another.

" Lynching in the second degree is defined as " Any act of violence inflicted by a mob upon the body of another person and from which death does not result.

Any group of haplotypes that are all more similar to one another than any of them is to any other haplotype may be said to constitute a clade.

Any similar canister with the labels reading " dog spray " and / or " bear spray " is regulated under the Pest Control Products Act-while legal to be carried by anyone, it is against the law if its use causes ' a risk of imminent death or serious bodily harm to another person ' or harming the environment and carries a penalty up to a fine of $ 500, 000 and jail time of maximum 3 years.

Any threat to the Air Ministry's existence had long since passed, budgetary constraint, and the reluctance to engage in another battle which would waste resources were also factors in the Air Ministry's decision not to contest the issue further.

FanMail was another success for TLC, debuting at No. 1 on the Billboard 200 album sales chart and selling over 6 million copies in the U. S. The album featured the number-one hit " No Scrubs ", produced by Kevin " She ' kspere " Briggs, and the single " Unpretty ", an alternative rock-styled song about self-love written by Watkins and Dallas Austin ( another version of it sampled Dennis Edwards ' 1984 hit " Don't Look Any Further "), that also reached # 1 on the Billboard chart.