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Any Liouville number must have unbounded partial quotients in its continued fraction expansion.
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Any and number
* Any expression formed using any combination of the basic arithmetic operations and extraction of nth roots gives an algebraic number.
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 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 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 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 and must
Any fraction of an inch involved in the measurement must be converted to a decimal equivalent to simplify the mathematics.
Any person or entity wishing to use intellectual property held under copyright must receive permission from the copyright holder to use this work, and often will be asked to pay for the use of copyrighted material.
Any historical material on anagrams must always be interpreted in terms of the assumptions and spellings that were current for the language in question.
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 company incorporating Bluetooth wireless technology into products, using the technology to offer goods and services or simply re-branding a product with Bluetooth technology must become a member of the Bluetooth SIG.
( Any theory that includes conservation of energy and mass – energy equivalence must include gravitational redshift.
Any minister and the cabinet as a whole however must have continuing trust of the parliament and may be voted out, resign or be replaced.
Any player entering or leaving the play must cross the substitution line which is part of the side line and extends 4. 5 meters from the middle line to the team's side.
# Any true image of Jesus must be able to represent both his divine nature ( which is impossible because it cannot be seen nor encompassed ) as well his human nature.
Any lossless compression algorithm that makes some files shorter must necessarily make some files longer, but it is not necessary that those files become very much longer.
Any rule in the game, including the rules specifying the criteria for winning and even the rule that rules must be obeyed, can be changed.
The main danger to be guarded against in these cases is that the prosecutor is persuaded to agree to a plea or a basis that is not in the public interest and interests of justice because it does not adequately reflect the seriousness of the offending ... Any plea agreement must reflect the seriousness and extent of the offending and give the court adequate sentencing powers.
Any use of nonprobability sampling methods ( e. g., cut-off or model-based samples ) must be justified statistically and be able to measure estimation error.
Any age statement on a bottle of Scotch whisky, expressed in numerical form, must reflect the age of the youngest whisky used to produce that product.
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