Search results
Results from the WOW.Com Content Network
Parts-per notation is often used describing dilute solutions in chemistry, for instance, the relative abundance of dissolved minerals or pollutants in water.The quantity "1 ppm" can be used for a mass fraction if a water-borne pollutant is present at one-millionth of a gram per gram of sample solution.
9.3 Tall parentheses and fractions. 9.4 Integrals. 9.5 Matrices and determinants. 9.6 Summation. ... However, if the formula contains an equal sign, ...
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 ).
The rule can then be derived [2] either from the Poisson approximation to the binomial distribution, or from the formula (1−p) n for the probability of zero events in the binomial distribution. In the latter case, the edge of the confidence interval is given by Pr( X = 0) = 0.05 and hence (1− p ) n = .05 so n ln (1– p ) = ln .05 ≈ −2.996.
However the titles of bonds issued by governments and other issuers use the fractional form, e.g. "3 + 1 ⁄ 2 % Unsecured Loan Stock 2032 Series 2". (When interest rates are very low, the number 0 is included if the interest rate is less than 1%, e.g. "0 + 3 ⁄ 4 % Treasury Stock", not "3 ⁄ 4 % Treasury Stock".) It is also widely accepted ...
An infinite series of any rational function of can be reduced to a finite series of polygamma functions, by use of partial fraction decomposition, [8] as explained here. This fact can also be applied to finite series of rational functions, allowing the result to be computed in constant time even when the series contains a large number of terms.
But in computing the power transmission (below), these factors must be taken into account. The simplest way to obtain the power transmission coefficient (transmissivity, the ratio of transmitted power to incident power in the direction normal to the interface, i.e. the y direction) is to use R + T = 1 (conservation of energy). In this way we find
Propeller-driven airliners had useful load fractions on the order of 25–35%. ... Payload fraction Falcon 9 Block 5: 549,054 kg + 22,800 kg 22,800 kg 25.1 3.99%