Also see Oracle's criteria for including classes in the serialized form specification. Custom Tags and Annotations If annotations are new to you, when you need to markup your source code, it might not be immediately clear whether to use an annotation or a Javadoc custom tag. Here is a quick comparison of the two. In general, if the markup is intended to affect or produce documentation, it should probably be a javadoc tag; otherwise, it should be an annotation.
What about the others? This is true in general. This series on the lower row: It is a subsequence of A above, selecting the numbers at the prime positions.
The smallest Fibonacci number which has the nth prime as a factor gives the series: But as these Fibonacci numbers get large rapidly, it is easier to use the index numbers of such Fibonacci numbers to get the series above A Vajda reference at foot of this pageon page 84 states: An alternative name is the Fibonacci entry point FEP and this applies to any number, not just the primes.
In many senses Lucas numbers and Fibonacci numbers are twin series. Fibonacci common factors One of the fundamental divisibility properties of Fibonacci numbers concerns factors common to two Fibonacci numbers. This is a consequence of the formula: If g is the greatest divisor of both F m and F n then it is also a Fibonacci number.
Its index number is the greatest divisor common to the two indices m and n! If we use gcd a,b to mean the greatest common divisor factor of a and b then we have: This section was suggested by an email from Allyn Shell. But what about other numbers as factors such as 6 or 7?
The answer is that no number bigger than 1 is a factor of two neighbouring Fibonacci numbers. Two numbers that have no common factors are called relatively prime to each other. There is a proof of this that Tom E Ace wrote to me about -- and it is so simple! So in any Fibonacci-type series which starts with A and B, if A and B are relatively prime then so are all pairs of consecutive numbers in the series.
This means that if the subscript has factors i.
So what about those Fibonacci numbers with no factors apart from 1 and itself, of course? These are the Fibonacci numbers that are primes. We can now deduce that Any Fibonacci number that is a prime number must also have a subscript that is a prime number again with one little exception - can you find it?
Unfortunately, the converse is not always true: In fact, a search using Maple finds that the list of index numbers, i, for which Fib i is prime begins as follows:The End of Alzheimer's: The First Program to Prevent and Reverse Cognitive Decline [Dale Bredesen] on skybox2008.com *FREE* shipping on qualifying offers.
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If you are entering by land, you get the form at the border. A concept that never really worked well, but that Bally obviously thought was a great idea, was the keypad input.
Inside every game (except Escape from Lost World, Blackwater , Truckstop and Atlantis), there was a keypad with the numbers 0 to 9, A to .
The except clause(s) specify one or more exception handlers. When no exception occurs in the try clause, no exception handler is executed.
When an exception occurs in the try suite, a search for an exception handler is started. This search inspects the except clauses in turn until one is found that matches the exception.
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