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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).
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.
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.
[163] [164] [165] In two dimensions, the critical Sobolev inequality is ‖ ‖ ‖ ‖ for f a smooth function with compact support in R 2, is the gradient of f, and ‖ ‖ and ‖ ‖ refer respectively to the L 2 and L 1-norm. The Sobolev inequality is equivalent to the isoperimetric inequality (in any dimension), with the same best constants.
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.
[1] [2] HPV type 16 is the strain most likely to cause cancer and is present in about 47% of all cervical cancers, [21] [22] and in many vaginal and vulvar cancers, [23] penile cancers, anal cancers, and cancers of the head and neck.
[1]: 21 [2] Matter exists in various states (also known as phases). These include classical everyday phases such as solid , liquid , and gas – for example water exists as ice , liquid water, and gaseous steam – but other states are possible, including plasma , Bose–Einstein condensates , fermionic condensates , and quark–gluon plasma .