Titlebook: Essentials of Mathematica; With Applications to Nino Boccara Textbook 2007 Springer-Verlag New York 2007 Analysis.Mathematica.Potential.com

Oration

AnalysisThe function D[f[a,x,y],x] does partial differentiation with respect to a variable (here x).

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Lists lists are powerful objects. They provide an efficient way of manipulating groups of expressions as a whole.

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meditation

Basic ProgrammingEverything you type in . is an expression. An expression is of the form f [arguments] where f is the Head of the expression which identifies its type. Expressions look like functions (or functions are expressions).

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Coronary

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Duffing OscillatorThe Duffing equation is .where . and . ≻ 0 are two parameters. Depending upon the sign of . we have either a single-well (. ≺ 0) or a double-well (. ≻ 0) anharmonic potential . defined by .We can ask . to plot the potential when . is either negative or positive.

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Motion of a Bead on a Rotating Circle ., the Cartesian coordinates of the bead in terms of these generalized coordinates are . = . sin . cos . = . sin . sin ., and . = . cos ., if we take . = 0 at the bottom of the circular wire. Let us draw the figure.