Hi Martin,

this is just to know if it is possible from Smath using Maxima to handle limits of functions of 2 variables.

Thanks in advance for your feedback

Franco

Wrote

this is just to know if it is possible from Smath using Maxima to handle limits of functions of 2 variables.

There is no hint on such capabilities in the maxima handbook.

Wrote

this is just to know if it is possible from Smath using Maxima to handle limits of functions of 2 variables.

The limit of a function of two variables is the contour limit @ user value.
Maxima X_Y plots by default the 0 level contour. For other 'level(s)'
use the maple solve block.

Jean

Wrote

The limit of a function of two variables is the contour limit @ user value.
Maxima X_Y plots by default the 0 level contour. For other 'level(s)'
use the maple solve block.

Jean

What is a Maxima X_Y plot? Why would you need some solver for other levels if you can plot 0 level?

As I understand, the bivariate limit is a function of the x,y values and of the direction of approach.
It would be helpful to see what you expect to see (examples).

What is the meaning of: handle limits of functions of 2 variables
Wait for the f(x,y):=
X_Y plots contour of any level in the domain of existence w/o solver.
The solver is for discretising the export.

Contour [Wolfram Looping].sm (19,55 KiB) descargado 1119 vez(es).

Joan unlukily doesn't work this way.

For a limit of a function in 2 variables ( or more ) its results may depends on the path used to reach it so the program I guess that needs to use a coordinate conversion or other methods to find it and to check that is independent from the path used .
So it is necessary a specific algorithmic "intelligence" to solve such a type of problems.
In my search have found a Wolfram alpha widget that does this in a very good way ...

http://www.wolframalpha.com/widgets/view.jsp?id=2958433016861a528d6221f5ac88eefd

Best regards

Franco

Wolfram is of no help as you can check by yourself: it is ill posed.
"the limit of functions of two variables ..."

read: implict f(x,y) have solutions wrt 'x' or 'y' alternately.

Read the two Smath documents

Jean

Forum Implicit Limit.sm (12,96 KiB) descargado 1246 vez(es).

Forum Implicit Wolfram.sm (4,53 KiB) descargado 1277 vez(es).

Wrote

this is just to know if it is possible from Smath using Maxima to handle limits of functions of 2 variables.

From the previous work sheets, answer is probably "NO"
Maxima will plot many implicit functions.

In the attached:
1. Valery Ochov "ImplicitFunctionGrapher"
2. an example of the CONTOUR matrix extractor

I presume I can exemplify the 'maple' RootOf,
Please, let me know.

Jean

Contour ImplicitFunctionGrapher.sm (28,2 KiB) descargado 1369 vez(es).

Contour Advisor [Publish].sm (26,68 KiB) descargado 1021 vez(es).