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 knot can be uniquely expressed as a connected sum of prime knots.

Any positive divisor of is a product of prime divisors of raised to some power.

( Any repunit prime is unique.

Any repunit prime is a permutable prime with the above definition, but some definitions require at least two distinct digits.

Any primality test can be used as the basis for a prime number formula.

( Any computist knows that the prime the moon is off by three or four days in our time ; and any rustic can see this error in the sky.

* Any ring of p-adic integers Z < sub > p </ sup > for a given prime p is a local ring, with field of fractions the p-adic numbers Q < sub > p </ sub >.

Any function in the library can be executed from a regular BASIC program by using GOTO " LIB0: NNNN " where NNNN is the function number ( e. g. 5010 for prime factorization ).

Any prime p ≡ 1 mod 4 splits into two distinct prime ideals in Z ; this is a manifestation of Fermat's theorem on sums of two squares.

Any number of other ways exist to be rich.

* Any expression formed using any combination of the basic arithmetic operations and extraction of nth roots gives an algebraic number.

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

Any season ticket holder could put themselves forward for election, with a certain number of nominations, and votes were cast by all season ticket holders over the age of 18.

# Any real number can be added to both sides.

# Any real number can be subtracted from both sides.

# Any real number can be multiplied to both sides.

# Any non-zero real number can divide both sides.

Any complex number z = x + iy can be written as

* Any two finite fields with the same number of elements are isomorphic.

# Any player who would qualify from the Interzonal to play in the Candidates but who was excluded because of a limitation on the number of participants from his Federation.

* Any of a number of plants in the family Poaceae with narrow blade-shaped leaves, or other unrelated plants of similar appearance

Any decision involves a choice selected from a number of alternatives, directed toward an organizational goal or subgoal.

Any number of these monomer units may be indicated by the appropriate Greek prefix ; e. g. a decamer is formed from 10 monomers.

Any overbid or underbid loses the number of points their bid was off ( a player bidding 3 tricks that wins only 2 would lose a point, as would a player bidding 2 and winning 3 ).

Simple Plan, from Montréal, climbed to number three in the United States with Still Not Getting Any ... in 2004.

Any meaningful theory of quantum gravity that makes sense and is predictive at all energy scales must have some deep principle that reduces the infinitely many unknown parameters to a finite number that can then be measured.

Any number of players can play, using differently coloured pens, if required.

* Any topological space which is the union of a countable number of separable subspaces is separable.

Any number of other alternate forms may be used, many of which are variations on the term " gamemaster "; these variants are especially common in storytelling games derived from or similar to role-playing games.

Any Liouville number must have unbounded partial quotients in its continued fraction expansion.

Any finite number of initial terms of the Taylor series of a function is called a Taylor polynomial.

Any modulated signal will have an infinite number of sidebands and hence an infinite bandwidth but in practice all significant sideband energy ( 98 % or more ) is concentrated within the bandwidth defined by Carson's rule.

Any type or number of topologies may be used -- star, bus, ring, etc.

Any choice of basis will have p elements, which are the dimensionless variables.

# Any sequence satisfying the recurrence relation can be written uniquely as a linear combination of solutions constructed in part 1 as λ varies over all distinct roots of p ( t ).

for some p between 1 and n. Any two such expressions of q ( at the same point m of M ) will have the same number p of positive signs.

Any warrant to a bailiff to give possession of a tenement justifies him in entering upon the premises named in the warrant, and giving possession, provided the entry be made between the hours of 6 a. m. and 10 p. m. (§ 142 ).

for each p ∈ U. Any differential 1-form arises this way, and by using (*) it follows that any differential 1-form α on U may be expressed in coordinates as

Any other particulars that you may wish to be informed of in reference to what has occurred, you can learn from the high priest of Yoshida .</ p >

Any covering space of a differentiable manifold may be equipped with a ( natural ) differentiable structure that turns p ( the covering map in question ) into a local diffeomorphism – a map with constant rank n.

Any term p < sub > k </ sub > X < sup > k </ sup > with zero coefficient, p < sub > k </ sub > = 0, may be omitted.

Any point x gives rise to a continuous function p < sub > x </ sub > from the one element topological space 1 ( all subsets of which are open ) to the space X by defining p < sub > x </ sub >( 1 ) = x. Conversely, any function from 1 to X clearly determines one point: the element that it " points " to.

Norman Lear & Robert W. McChesney, “ Does Big Media Need to Get Any Bigger ?” Los Angeles Times, 5 August, p. B17.

Any tendency by the newcomer to retain their original identity ( language, religious faiths, ethnic associations including attention to " ethnic media ," beliefs, ways of thinking, et cetera ) is defined by Gudykunst and Kim ( 2003 ) as operational / functional unfitness ( p. 376 ), mental illness ( pp. 372 – 373, 376 ), and communication incompetence, dispositions linked by Spencer and Galton and later Gudykunst and Kim ( 2003 ), to inherent personality predispositions and traits such as being close-minded ( p. 369 ), emotionally immature ( p. 381 ), ethnocentric ( p. 376 ), and lacking cognitive complexity ( pp. 382, 383 ).

* Any old maths: Roy Frieden's project to unify physics based on Fisher information from New Scientist issue 2174, 20 February 1999, p. 53

Any tickets not picked up by 7: 00 p. m. will be released to the standby line.

A sample of his thinking about the danger of perpetual racial preferences is this passage from p. 7: " People differ-and have for centuries .... Any ' temporary ' policy whose duration is defined by the goal of achieving something that has never been achieved before, anywhere in the world, could more fittingly be characterized as eternal.