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If both a 0 % rate and 100 % rate of taxation generate no revenue, it follows from the extreme value theorem that there must exist at least one rate in between where tax revenue would be a maximum.
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If and both
If a broader Atlantic community is to be formed -- and my own judgment is that it lies within the realm of both our needs and our capacity -- a ready nucleus of machinery is at hand in the NATO alliance.
If that's done, the house can be designed and oriented for best operation, and this can mean savings both in the size of equipment and in the cost of the house itself.
If both George and a piece of information George does not have are prominent in the context, but the idea of telling George is new, then dominant stress will probably be on tell in why not tell George??
If instead Betty and Carla both owned 7 shares, then Alex would keep the majority bonus for herself, while Betty and Carla would split the minority bonus.
If through lack of issue, marriage or both, eventually only one person represents the claims of all the sisters, he or she can claim the dignity as a matter of right, and the abeyance is said to be terminated.
If we define the function f ( n ) = A ( n, n ), which increases both m and n at the same time, we have a function of one variable that dwarfs every primitive recursive function, including very fast-growing functions such as the exponential function, the factorial function, multi-and superfactorial functions, and even functions defined using Knuth's up-arrow notation ( except when the indexed up-arrow is used ).
Let ( m, n ) be a pair of amicable numbers with m < n, and write m = gM and n = gN where g is the greatest common divisor of m and n. If M and N are both coprime to g and square free then the pair ( m, n ) is said to be regular, otherwise it is called irregular or exotic.
If each player wins a set, or both sets end tied, there is a 3-end tiebreaker to determine a winner.
Some authors require in addition that μ ( C ) < ∞ for every compact set C. If a Borel measure μ is both inner regular and outer regular, it is called a regular Borel measure.
" If both opponents roll the same opening number, the doubling cube is incremented on each occasion yet remains in the middle of the board, available to either player.
If we allow both, the problem is called the quantified Boolean formula problem ( QBF ), which can be shown to be PSPACE-complete.
If the page's creator and reader are both assuming some platform-specific character encoding, and the server does not send any identifying information, then the reader will nonetheless see the page as the creator intended, but other readers on different platforms or with different native languages will not see the page as intended.
If the sets are short to medium length the caller will often try to run the dance until each couple has danced with every other couple both as a 1 and a 2 and returned to where they started.
If and 0
If Af is the operator induced on Af by T, then evidently Af, because by definition Af is 0 on the subspace Af.
If the distribution of the 71 items were wholly concordant in the two families, the distance would of course be 0.
If ΔS and / or T are small, the condition ΔG < 0 may imply that ΔH < 0, which would indicate an exothermic reaction.
If the valid element indices begin at 0, the constant B is simply the address of the first element of the array.
If the minimum legal value for every index is 0, then B is the address of the element whose indices are all zero.
If Acorn had thought to include this small modification in the original Electron design it is likely the machine would have had a much greater impact as it would have nearly doubled the amount of motion possible in games and saved modes 0 – 3 ( including the only 16 colour mode ) from being nearly useless due to contended memory timings.
If the balance factor becomes 0 then the height of the subtree has decreased by one and the retracing needs to continue.
If the rotation leaves the subtree's balance factor at 0 then the retracing towards the root must continue since the height of this subtree has decreased by one.
If the maximum gain is 0 dB, the 3 dB gain is the range where the gain is more than-3dB, or the attenuation is less than + 3dB.
If a DFS ROM is installed, will cause the computer to search for and load a file called on the floppy disk in drive 0.
If not, the curve is subdivided parametrically into two segments, 0 ≤ t ≤ 0. 5 and 0. 5 ≤ t ≤ 1, and the same procedure is applied recursively to each half.
If we attempt to use the above formula to compute the derivative of f at zero, then we must evaluate 1 / g ′( f ( 0 )).
If sender0 has code ( 1, – 1 ) and data ( 1, 0, 1, 1 ), and sender1 has code ( 1, 1 ) and data ( 0, 0, 1, 1 ), and both senders transmit simultaneously, then this table describes the coding steps:
If this limit exists, then it may be computed by taking the limit as h → 0 along the real axis or imaginary axis ; in either case it should give the same result.
0.133 seconds.