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Here is the algorithm example for the week 8 discussion
... Example 2: (to be worked out in the discussion). Write and analyze a pseudocode algorithm that finds the product of the largest and smallest even integers in the list a 1, a2, …, an. The algorithm should return -1 (or some other negative value) if there are no even numbers. If there is just one even ...
... Example 2: (to be worked out in the discussion). Write and analyze a pseudocode algorithm that finds the product of the largest and smallest even integers in the list a 1, a2, …, an. The algorithm should return -1 (or some other negative value) if there are no even numbers. If there is just one even ...
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[Part 2]
... Renewal notices, normally sent -out to subscribers in November or December, are now sent . by bulk mail. This means that If your address has changed the notice will not be forwarded to you. If you have a change of address, please notify: ...
... Renewal notices, normally sent -out to subscribers in November or December, are now sent . by bulk mail. This means that If your address has changed the notice will not be forwarded to you. If you have a change of address, please notify: ...
208 A PROBLEM OF SIDON IN ADDITIVE NUMBER THEORY. ON A
... P. ERDös and P . TURÁN* . Let a,< a,< . . . be a sequence of positive integers, and suppose that the sums aj +a; (where i -<_j) are all different . Such sequences, called B 2 sequences by Sidon+, occur in the theory of Fourier series . Suppose that n is given, and that ax < n < ax+i ; the question w ...
... P. ERDös and P . TURÁN* . Let a,< a,< . . . be a sequence of positive integers, and suppose that the sums aj +a; (where i -<_j) are all different . Such sequences, called B 2 sequences by Sidon+, occur in the theory of Fourier series . Suppose that n is given, and that ax < n < ax+i ; the question w ...
Collatz conjecture
The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse), or the Syracuse problem; the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), or as wondrous numbers.Take any natural number n. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to obtain 3n + 1. Repeat the process (which has been called ""Half Or Triple Plus One"", or HOTPO) indefinitely. The conjecture is that no matter what number you start with, you will always eventually reach 1. The property has also been called oneness.Paul Erdős said about the Collatz conjecture: ""Mathematics may not be ready for such problems."" He also offered $500 for its solution.