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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.
The simplest examples are the golden ratio φ = [1;1,1,1,1,1,...] and √ 2 = [1;2,2,2,2,...], while √ 14 = [3;1,2,1,6,1,2,1,6...] and √ 42 = [6;2,12,2,12,2,12...]. All irrational square roots of integers have a special form for the period; a symmetrical string, like the empty string (for √ 2 ) or 1,2,1 (for √ 14 ), followed by the ...
The thirty-first odd number, of the simplest form +, is 63. [8] It is also the fourth Woodall number of the form n ⋅ 2 n − 1 {\displaystyle n\cdot 2^{n}-1} with n = 4 {\displaystyle n=4} , with the previous members being 1, 7 and 23 (they add to 31, the third Mersenne prime).
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. [11] 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.
It is one of the simplest analog computers. [1] [2] Slide rules exist in a diverse range of styles and generally appear in a linear, circular or cylindrical form. Slide rules manufactured for specialized fields such as aviation or finance typically feature additional scales that aid in specialized calculations particular to those fields.
In the widely accepted ΛCDM cosmological model, dark matter accounts for about 25.8% ± 1.1% of the mass and energy in the universe while about 69.2% ± 1.2% is dark energy, a mysterious form of energy responsible for the acceleration of the expansion of the universe. [17] Ordinary ('baryonic') matter therefore composes only 4.84% ± 0.1% of ...
In 1936, Alonzo Church and Alan Turing published independent papers [2] showing that a general solution to the Entscheidungsproblem is impossible, assuming that the intuitive notion of "effectively calculable" is captured by the functions computable by a Turing machine (or equivalently, by those expressible in the lambda calculus).
In terms of amenities, in 1975 an estimated 2% of all houses in the U.S. were without a flush toilet, 1% without electric lighting, 3% without a fixed bath or shower and 1% without piped water. [37] In 1977 an estimated 59% of the population of Canada lived in a detached house, while 8% lived in an attached house, and 33% in an apartment or ...