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If a term is odd, the next term is 3 times the previous term plus 1. The conjecture is that these sequences always reach 1, no matter which positive integer is chosen to start the sequence. The conjecture has been shown to hold for all positive integers up to 2.95 × 10 20, but no general proof has been found.
For example, 1 μs −1 would mean 10 6 disintegrations per second: (10 −6 s) −1 = 10 6 s −1, [4] whereas 1 μBq would mean 1 disintegration per 1 million seconds. Other names considered were hertz (Hz), a special name already in use for the reciprocal second (for periodic events of any kind), and fourier (Fr; after Joseph Fourier ). [ 4 ]
It follows from the definition that each natural number is equal to the set of all natural numbers less than it. This definition, can be extended to the von Neumann definition of ordinals for defining all ordinal numbers , including the infinite ones: "each ordinal is the well-ordered set of all smaller ordinals."
The first nanotube ropes (20 mm long) whose tensile strength was published (in 2000) had a strength of 3.6 GPa, still well below their theoretical limit. [41] The density is different depending on the manufacturing method, and the lowest value is 0.037 or 0.55 (solid). [37]
In a third layer, the logarithms of rational numbers r = a / b are computed with ln(r) = ln(a) − ln(b), and logarithms of roots via ln n √ c = 1 / n ln(c).. The logarithm of 2 is useful in the sense that the powers of 2 are rather densely distributed; finding powers 2 i close to powers b j of other numbers b is comparatively easy, and series representations of ln(b) are ...
Hexadecimal (also known as base-16 or simply hex) is a positional numeral system that represents numbers using a radix (base) of sixteen. Unlike the decimal system representing numbers using ten symbols, hexadecimal uses sixteen distinct symbols, most often the symbols "0"–"9" to represent values 0 to 9 and "A"–"F" to represent values from ten to fifteen.
NASA's Wilkinson Microwave Anisotropy Probe (WMAP) project's nine-year data release in 2012 estimated the age of the universe to be (13.772 ± 0.059) × 10 9 years (13.772 billion years, with an uncertainty of plus or minus 59 million years).
km 3:E: 6.083 × 10 10 0.056 9.28 × 10 11 0.857 1.083 × 10 12 1 1.6318 × 10 11 0.151 1.431 × 10 15 1,321.3 8.27 × 10 14 763.62 6.834 × 10 13 63.102 6.254 × 10 13 57.747 Mass: kg:E: 3.302 × 10 23 0.055 4.8690 × 10 24 0.815 5.972 × 10 24 1 6.4191 × 10 23 0.107 1.8987 × 10 27 318 5.6851 × 10 26 95 8.6849 × 10 25 14.5 1.0244 × 10 26 ...