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Every terminating decimal representation can be written as a decimal fraction, a fraction whose denominator is a power of 10 (e.g. 1.585 = 1585 / 1000 ); it may also be written as a ratio of the form k / 2 n ·5 m (e.g. 1.585 = 317 / 2 3 ·5 2 ).
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 ...
[6] [7] [a] The parentheses can be omitted if the input is a single numerical variable or constant, [2] as in the case of sin x = sin(x) and sin π = sin(π). [a] Traditionally this convention extends to monomials; thus, sin 3x = sin(3x) and even sin 1 / 2 xy = sin(xy/2), but sin x + y = sin(x) + y, because x + y is not a monomial ...
where f t,d is the raw count of a term in a document, i.e., the number of times that term t occurs in document d. Note the denominator is simply the total number of terms in document d (counting each occurrence of the same term separately). There are various other ways to define term frequency: [5]: 128 the raw count itself: tf(t,d) = f t,d
For example, a 5.0 earthquake releases 32 times (10 1.5) and a 6.0 releases 1000 times (10 3) the energy of a 4.0. [61] Apparent magnitude measures the brightness of stars logarithmically. [62] In chemistry the negative of the decimal logarithm, the decimal cologarithm, is indicated by the letter p. [63]
5.7518%: Strontium: 90 Sr: 28.9 y: Source of much of the decay heat together with 137 Cs on the timespan of years to decades after irradiation. Formerly used in radioisotope thermoelectric generators. 2.8336%: Iodine: 131 I: 8.02 d: Reason for the use of potassium iodide tablets after nuclear accidents or nuclear bomb explosions. 2.2713% ...
There are three known stable isotopes of oxygen (8 O): 16 O, 17 O, and 18 O. Radioactive isotopes ranging from 11 O to 28 O have also been characterized, all short-lived. The longest-lived radioisotope is 15
The data only consider carbon dioxide emissions from the burning of fossil fuels and cement manufacture, but not emissions from land use, land-use change and forestry [n 2] Over the last 150 years, estimated cumulative emissions from land use and land-use change represent approximately one-third of total cumulative anthropogenic CO 2 emissions. [6]