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Book IX, Proposition 36 of Elements proves that if the sum of the first n terms of this progression is a prime number (and thus is a Mersenne prime as mentioned above), then this sum times the n th term is a perfect number. For example, the sum of the first 5 terms of the series 1 + 2 + 4 + 8 + 16 = 31, which is a prime number.
When a number is written using ordinary decimal notation, leading zeros are not significant, and trailing zeros of numbers not written with a decimal point are implicitly considered to be non-significant. [110] For example, the numbers 0.056 and 1200 each have only 2 significant digits, but the number 40.00 has 4 significant digits.
However, the capacity was also quoted "1.2 MB", [41] which was a hybrid decimal and binary notation, since the "M" meant 1000 × 1024. The precise value was 1.2288 MB (decimal) or 1.171 875 MiB (binary). The 5.25-inch Apple Disk II had 256 bytes per sector, 13 sectors per track, 35 tracks per side, or a total capacity of 116 480 bytes.
Advisors Mamlet and VanDeVelde suggest that students proactively try to explain an unusual grade, such as a low grade in a core course. [140] There are online databases available to help students write cogent essays. [141]
The lowest known dimension for an exotic sphere is the seventh dimension. [35] [36] In hyperbolic space, 7 is the highest dimension for non-simplex hypercompact Vinberg polytopes of rank n + 4 mirrors, where there is one unique figure with eleven facets. On the other hand, such figures with rank n + 3 mirrors exist in dimensions 4, 5, 6 and 8 ...
In physical cosmology and astronomy, dark energy is a proposed form of energy that affects the universe on the largest scales. Its primary effect is to drive the accelerating expansion of the universe.
Kilby and two other colleagues created the Cal-Tech, a three-pound battery-powered calculator that could do basic math and fit six-digit numbers on its display. This 4.25 x 6.15 x 1.75 inch calculator's processor would originate the vast majority of Texas Instruments’ revenue.
Isaac Asimov (/ ˈ æ z ɪ m ɒ v / AZ-ih-mov; [b] c. January 2, 1920 [a] – April 6, 1992) was an American writer and professor of biochemistry at Boston University.During his lifetime, Asimov was considered one of the "Big Three" science fiction writers, along with Robert A. Heinlein and Arthur C. Clarke. [2]
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