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Numerical Root Finding   (Mathematica Tutorial)
NSolve gives you a general way to find numerical approximations to the solutions of polynomial equations. Finding numerical solutions to more general equations, however, can ...
Operations on Power Series   (Mathematica Tutorial)
Mathematica allows you to perform many operations on power series. In all cases, Mathematica gives results only to as many terms as can be justified from the accuracy of your ...
Operators without Built-in Meanings   (Mathematica Tutorial)
When you enter a piece of input such as 2+2, Mathematica first recognizes the + as an operator and constructs the expression Plus[2,2], then uses the built-in rules for Plus ...
Optional and Default Arguments   (Mathematica Tutorial)
Sometimes you may want to set up functions where certain arguments, if omitted, are given "default values". The pattern x_:v stands for an object that can be omitted, and if ...
The Option Inspector   (Mathematica Tutorial)
Many aspects of the Mathematica front end such as the styles of cells, the appearance of notebooks, or the parameters used in typesetting are controlled by options. For ...
Padé Approximation   (Mathematica Tutorial)
The Padé approximation is a rational function that can be thought of as a generalization of a Taylor polynomial. A rational function is the ratio of polynomials. Because ...
Parametric Plots   (Mathematica Tutorial)
"Basic Plotting" describes how to plot curves in Mathematica in which you give the y coordinate of each point as a function of the x coordinate. You can also use Mathematica ...
Parts of Expressions   (Mathematica Tutorial)
Since lists are just a particular kind of expression, it will come as no surprise that you can refer to parts of any expression much as you refer to parts of a list. This ...
Functions like Factor usually assume that all coefficients in the polynomials they produce must involve only rational numbers. But by setting the option Extension you can ...
Power Series   (Mathematica Tutorial)
The mathematical operations we have discussed so far are exact. Given precise input, their results are exact formulas. In many situations, however, you do not need an exact ...
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