It can perform exact, numeric, symbolic and graphic computation, e.g. arbitrary-precision calculation, solve equation, plot data and user-defined functions, linear regression, symbolic differentation and integration, pattern-match. It is a programming language, in which you can define conditional, case, piecewise, recursive, multi-value functions and procedures, derivatives, integrals and rules.
The Davison-Essex and the Riemann-Liouville definitions are different in the following aspect: in the D-E formula, differentiation is performed first, then integration; in the R-L formula it is the other way around. The D-E definition implemented, thus, maps constants to zero, imitating integer order differentiation, while the R-L definition does not. This property of the D-E definition makes it suitable to work with initial value problems for fractional differential equations.
differentiation: d(x^6, x);
-2.5 -order differentiation: d(x^6, x, -2.5);
integration: int(x^6, x);
definite integration: int(x^6, x, 1,2);
Taylor series: taylor(exp(x), x);
big integer: 100!;
numeric solve equation: nsolve(x^2,x);
- Dec 13, 1998
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