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 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 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 non-trivial idempotent a is a zero divisor ( because with neither a nor b being zero, where ).

* Any closed interval b of real numbers is Lebesgue measurable, and its Lebesgue measure is the length b − a.

* Any Cartesian product of intervals b and d is Lebesgue measurable, and its Lebesgue measure is ( b − a )( d − c ), the area of the corresponding rectangle.

( vi ) Any compound, mixture, or preparation which contains any quantity of any of the substances referred to in paragraphs ( b )( 31 )( i ) through ( v ) of this section.

::( b ) Any action which has the aim or effect of dispossessing them of their lands, territories or resources ;

Any member of B is in the set ker r + im u ; since for all b in B, b =

Any complex number may be written a + bi, where a and b are real numbers and i is the imaginary unit.

Any quaternion may be written as ( a, b, c, d ) = a + bi + cj + dk.

* Any positive multiple of the repunit R < sub > n </ sub >< sup >( b )</ sup > contains at least n nonzero digits in base b.

( a ) Any firearm which has a short stock and is designed to be held and fired by the use of a single hand ; and ( b ) Any combination of parts from which a firearm described in paragraph ( a ) can be assembled.

Any deduction not found in section 67 ( b ) is a miscellaneous itemized deduction.

# Any interval of reals b has measure b − a

Any institution that wishes to a ) offer a degree and / or b ) use the term " university " must be authorized to do so under an Act of the Legislature or by the Minister of Training, Colleges and Universities under the Post-secondary Education Choice and Excellence Act, 2000.

Any non-linear function, f ( a, b ), of two variables, a and b, can be expanded as

* Midnight at the Oasis b / w Any Old Time ( single by Maria Muldaur )

Any commutative monoid is endowed with its algebraic preordering ≤, defined by x ≤ y if and only if there exists z such that x + z = y.

Any SCBA conforming to this standard will have been verified to reliably operate and protect the user from-30 ° C to + 60 ° C under a wide range of severe simulated operational conditions.

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 odd number is a difference of two consecutive squares: ( k + 1 )< sup > 2 </ sup >

:* Four of a kind + One card ( nicknamed King Kong, tiki, or Bomb ): Any set of 4 cards of the same rank, plus any 5th card.

Any point on the 3-sphere must have the property that | z < sub > 0 </ sub >|< sup > 2 </ sup > + | z < sub > 1 </ sub >|< sup > 2 </ sup > =

Any element y ∈ Y := Ran ( S − I ) has a distance larger than or equal to 1 from u ( otherwise y < sub > i </ sub > = x < sub > i + 1 </ sub >-x < sub > i </ sub > would be positive and bounded away from zero, whence x < sub > i </ sub > could not be bounded ).

Any Dirac field can therefore be projected into its left-or right-handed component by the operation of the projection operator ( 1 – γ < sup > 5 </ sup >)/ 2 or ( 1 + γ < sup > 5 </ sup >)/ 2 acting on ψ.

D + E Any bus with more than 8 passenger seats with a trailer over 750 kg.

* Any combination of the previous associations, for example Erik Satie's Sonneries de la Rose + Croix ( 1892 )

The construction requires a quadrilateral with sides 2a, b, 2c, b. Any side must be less than the sum of the remaining sides, so the curve is empty ( at least in the real plane ) unless a < b + c and c < b + a.