The Structure, Stability, and Dynamics
of Self-Gravitating Systems

Joel E. Tohline
[tohline@rouge.phys.lsu.edu]
David Sherfesee

Gradient Operations Performed Analytically

The following application, developed originally by David Sherfesee at LSU during the summer of 1997, permits you to determine the gradient of virtually any analytically expressible scalar function G(x), in any of a number of different orthogonal coordinate systems, utilizing the symbolic manipulation capabilities of Mathematica©.

Mathematica© Application

Developed by:
David Sherfesee
July, 1997

Select an Orthogonal Coordinate System:

Enter Function Expression :

In the space provided, type in the analytical expression for the scalar function of interest, G. (For example, when you first load this HTML page, you will find in the space provided the Mathematica String Equivalent of the function G = 1/r, written in Cartesian coordinates.)

G(Xx,Yy,Zz) =

Evaluate ÑG:

<== Press this button.
 If you are uncertain how to deal with or interpret the idiosyncrasies of Mathematica's input/output formats, read the accompanying page of "Mathematica hints." In the present implementation of this application, you must limit your input string to 50 characters, including embedded blanks.

Home Page | Preface | Context | Applications | Appendices | Search Index