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is the power series for arctan(x) specialized to x = 1. It converges too slowly to be of practical interest. It converges too slowly to be of practical interest. However, the power series converges much faster for smaller values of x {\displaystyle x} , which leads to formulae where π {\displaystyle \pi } arises as the sum of small angles with ...
In general, a common fraction is said to be a proper fraction, if the absolute value of the fraction is strictly less than one—that is, if the fraction is greater than −1 and less than 1. [ 14 ] [ 15 ] It is said to be an improper fraction , or sometimes top-heavy fraction , [ 16 ] if the absolute value of the fraction is greater than or ...
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 ]
In mathematics, "rational" is often used as a noun abbreviating "rational number". The adjective rational sometimes means that the coefficients are rational numbers. For example, a rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational numbers; a rational polynomial may be a polynomial with rational ...
Unusually, the multiplier was designed to treat numbers as fixed-point fractions in the range −1 ≤ x < 1, i.e. the binary point was immediately to the right of the sign. The accumulator could hold 71 bits, including the sign, allowing two long (35-bit) numbers to be multiplied without losing any precision.
So a 1 / 2 in (12.7 mm) diameter drill will be able to drill a hole 4 + 1 / 2 in (114.3 mm) deep, since it is 9 times the diameter in length. A 1 / 8 in (3.175 mm) diameter drill can drill a hole 1 + 5 / 8 in (41.275 mm) deep, since it is 13 times the diameter in flute length. [3]
Peat has been mined industrially since 1896, and in Soviet times it was the main fuel for power plants. [ 12 ] Large-scale swamp draining efforts were revived in the Soviet era during the 1960s–1970s, with over 60% of Belarus's wetlands being drained, primarily for agriculture and peat mining.
[1] The UFAD system takes advantage of the thermal plume and stratification phenomenon: the conditioned air is supplied directly to the occupied zone (OZ). The thermal plumes generated by the occupants and other heat sources introduce the conditioned air to absorb the heat and humidity and then bring the contaminated air to the upper zone (UZ).