THE ARCHIVES
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Definition of Convergence and Divergence in Series
The nth partial sum of the series an is given by Sn = a1 + a2 + a3 + … + an. If the sequence of these…
basic 6 min read
Ratio Test
Convergence tests are used to find the convergence of series or power series. There are many tests for convergence, but…
basic 2 min read
Divergence vs. Convergence
Convergence Most traders refer to a convergence when describing the price action of a futures contract. Here, convergence describes the…
basic 4 min read
Sequence and series
Sequence and series is one of the basic topics in Arithmetic. An itemized collection of elements in which repetitions of any…
basic 2 min read
Laplace equation
The scalar form of Laplace’s equation is the partial differential equation (1) where is the Laplacian. Note that the operator is commonly written as by…
basic 1 min read
Euler-Cauchy Equations
An Euler-Cauchy equation is where b and c are constant numbers. Let us consider the change of variable x = et. Then we have The equation…
basic 3 min read
Numerical Methods: The Trapezium Rule and Simpson’s Rule
Integrals don’t have to get very complicated before symbolic methods fail to work. Consider, for example, the integral 01cos(x3+x)dx: there…
basic 6 min read
Correlation and regression
The word correlation is used in everyday life to denote some form of association. We might say that we have…