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An even larger, multivolume table is the Integrals and Series by Prudnikov, Brychkov, and Marichev (with volumes 1–3 listing integrals and series of elementary and special functions, volume 4–5 are tables of Laplace transforms).
[The formula does not make clear over what the summation is done. P C = 1 n ⋅ ∑ p t p 0 {\displaystyle P_{C}={\frac {1}{n}}\cdot \sum {\frac {p_{t}}{p_{0}}}} On 17 August 2012 the BBC Radio 4 program More or Less [ 3 ] noted that the Carli index, used in part in the British retail price index , has a built-in bias towards recording ...
The main idea is to express an integral involving an integer parameter (e.g. power) of a function, represented by I n, in terms of an integral that involves a lower value of the parameter (lower power) of that function, for example I n-1 or I n-2. This makes the reduction formula a type of recurrence relation. In other words, the reduction ...
Repeated insertions cause the number of entries in a hash table to grow, which consequently increases the load factor; to maintain the amortized () performance of the lookup and insertion operations, a hash table is dynamically resized and the items of the tables are rehashed into the buckets of the new hash table, [10] since the items cannot ...
Its complementary cumulative distribution function is a stretched exponential function. The Weibull distribution is related to a number of other probability distributions; in particular, it interpolates between the exponential distribution ( k = 1) and the Rayleigh distribution ( k = 2 and λ = 2 σ {\displaystyle \lambda ={\sqrt {2}}\sigma } ).
Logarithms can be used to make calculations easier. For example, two numbers can be multiplied just by using a logarithm table and adding. These are often known as logarithmic properties, which are documented in the table below. [2] The first three operations below assume that x = b c and/or y = b d, so that log b (x) = c and log b (y) = d.
A chemical formula used for a series of compounds that differ from each other by a constant unit is called a general formula. It generates a homologous series of chemical formulae. For example, alcohols may be represented by the formula C n H 2n + 1 OH (n ≥ 1), giving the homologs methanol, ethanol, propanol for 1 ≤ n ≤ 3.
A professional investor contemplating a change to the capital structure of a firm (e.g., through a leveraged buyout) first evaluates a firm's fundamental earnings potential (reflected by earnings before interest, taxes, depreciation and amortization and EBIT), and then determines the optimal use of debt versus equity (equity value).