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Page "Pre-algebra" ¶ 17
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Any and number
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 and plus
Any difference between the hedged positions represents any remaining risk ( such as basis risk ) plus profit ; the belief is that there remains some difference which, even after hedging most risk, represents pure profit.
* plus VII: A-Ha's " Take on Me ", Gordon Lightfoot's " If You Could Read My Mind ", Amy Grant's " Good For Me ", Aretha Franklin's "( You Make Me Feel Like ) A Natural Woman " ( also Carole King ), Elvis Costello and the Attractions ' " Everyday I Write The Book ", and the Traveling Wilburys ' " Not Alone Any More ".
Any vehicle parked for more than 48 hours on any city street will be taken by city order, and is subject to a minimum $ 145 redemption cost ($ 125 towing plus $ 20 ticket ).
Any ten-vertex Hamiltonian 3-regular graph consists of a ten-vertex cycle C plus five chords.
:* 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.
In 2007, following the re-release of several Any Trouble albums on CD, Clive Gregson, Chris Parks and Martin Hughes, plus Mark Griffiths on bass, re-formed to record a new album which was released on the re-born Stiff Records label on 10 September 2007.
This was also the period when Piaf recorded a number of songs, as mentioned above, which were never released, such as the one with the intriguing title, " Je ne veux plus faire la vaisselle " (" I Don ’ t Want To Wash Dishes Any More ).
Field pistol ( Any straight walled pistol cartridge with maximum case length of 1. 29 " specified for that cartridge plus. 22LR,. 22 Magnum,. 32-20,. 22 Hornet,. 25-20,. 270 REN, 1 / 2 scale of full targets, shot 25 / 50 / 75 / 100 Yards or Meters )
Any observatory situated at plus or minus two time zones would have been in an excellent position to observe the super flare and record the magnetic signature of Solar Flare Effect.
Express ' " Do It (' Til You're Satisfied )", The Trammps ' " Disco Inferno ", The People's Choice's " Do It Any Way You Wanna ", Andrea True's " More, More, More ", plus First Choice's " Doctor Love " and Claudja Barry's album, The Girl Most Likely.

Any and 0
Any odd column value that passes from " 9 " to " 0 " activates a carry lever.
Any even column value that passes from " 9 " to " 0 " activates a carry lever.
Any formal series with has a composition inverse provided is an invertible element of R. The coefficients are found recursively from the above formula for the coefficients of a composition, equating them with those of the composition identity X ( that is 1 at degree 1 and 0 at every degree greater than 1 ).
Any non-negative real number can be represented as a base-φ numeral using only the digits 0 and 1, and avoiding the digit sequence " 11 "-this is called a standard form.
Any Taylor series for this function converges not only for x close enough to x < sub > 0 </ sub > ( as in the definition ) but for all values of x ( real or complex ).
Any polynomial written in standard form has a unique constant term, which can be considered a coefficient of x < sup > 0 </ sup >.
* Any nonzero number raised by the exponent 0 is 1 ; one interpretation of these powers is as empty products.
Any ( non-graded ) ring A can be given a gradation by letting A < sub > 0 </ sub >
* Any linear functional L is either trivial ( equal to 0 everywhere ) or surjective onto the scalar field.
Any of the 100 squares in the superimposed 10 x 10 grid can be accurately described using a digit from 0-9 ( with 0 0 being the bottom left square and 9 9 being the top right square ).
Any β perpendicular to α ( on the Y axis ) trivially fulfills both with 0, but does not define an irreducible root system.
A weight on a Lie algebra g over a field F is a linear map λ: g → F with λ ( y )= 0 for all x, y in g. Any weight on a Lie algebra g vanishes on the derived algebra and hence descends to a weight on the abelian Lie algebra g /.
* Any firearm with a bore over 0. 50 except for shotguns or shotgun shells which have been found to be generally recognized as particularly suitable for sporting purposes.
Any Fredholm operator has an index, defined as the difference between the ( finite ) dimension of the kernel of D ( solutions of Df = 0 ), and the ( finite ) dimension of the cokernel of D ( the constraints on the right-hand-side of an inhomogeneous equation like Df
CALLing another address gave a forced system reset ( call 0 ), the famous " Press Any Key " ( call & bb18 ) or for eliminating flicker in animation by allowing you to synchronize with the monitor's raster scan via " sync frame-flyback " ( call & bd19 ); this was given its own dedicated command in Basic 1. 1-FRAME.
Any term p < sub > k </ sub > X < sup > k </ sup > with zero coefficient, p < sub > k </ sub > = 0, may be omitted.
Any mobile stack of height n ( with n > 0 ) can be moved ( in a straight line ) in any one of the 6 directions by exactly n spaces by the player controlling it, if it lands on another stack.
Any ratio between 0 and 1 is possible.
Any path of integration containing 0 only at its beginning, otherwise restricted to the domain of a branch of the integrand, is valid here, for example, the straight line connecting 0 and z.
Any other ordered pair of symbols may be used instead of 0 and 1 ; the logical structure of the Thue – Morse sequence does not depend on the symbols that are used to represent it.
* Any other digits will always be 0 ( and therefore will not contribute to the sum of squares of the digits ).
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 ring homomorphism A → B gives a map K < sub > 0 </ sub >( A ) → K < sub > 0 </ sub >( B ) by mapping ( the class of ) a projective A-module M to M ⊗< sub > A </ sub > B, making K < sub > 0 </ sub > a covariant functor.

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