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In mathematics, the infinite series 1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1.
The only known powers of 2 with all digits even are 2 1 = 2, 2 2 = 4, 2 3 = 8, 2 6 = 64 and 2 11 = 2048. [12] The first 3 powers of 2 with all but last digit odd is 2 4 = 16, 2 5 = 32 and 2 9 = 512. The next such power of 2 of form 2 n should have n of at least 6 digits.
Characterise word-representable near-triangulations containing the complete graph K 4 (such a characterisation is known for K 4-free planar graphs [126]) Classify graphs with representation number 3, that is, graphs that can be represented using 3 copies of each letter, but cannot be represented using 2 copies of each letter [ 127 ]
A suspect is in custody after a knife attack at Grand Central 42 Street subway station in New York injured two with neck and wrist slashes.
Flames could be seen where a military helicopter made an emergency landing at Camp Pendleton on Friday, causing police to warn drivers of potential traffic delays along Interstate 5.
MOSCOW (Reuters) -The Kremlin praised U.S. President-elect Donald Trump on Friday for criticising Ukrainian missile strikes deep into Russian territory but said discussions about deploying ...
Let a and b be positive integers such that 1< a / b < 3/2 (as 1<2< 9/4 satisfies these bounds). Now 2b 2 and a 2 cannot be equal, since the first has an odd number of factors 2 whereas the second has an even number of factors 2. Thus | 2b 2 − a 2 | ≥ 1. Multiplying the absolute difference | √ 2 − a / b | by b 2 (√ 2 ...
An intact prehistoric mastodon jaw was discovered in the backyard of a Hudson Valley house after the homeowner initially saw a pair of teeth poking up by a plant, according to state officials.