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Limits of functions of 2 variables
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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
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Originally Posted by: frapuano 
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. |
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Originally Posted by: frapuano 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
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Originally Posted by: Jean Giraud
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). |
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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 (20kb) downloaded 28 time(s).
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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....16861a528d6221f5ac88eefdBest regards Franco
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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 (13kb) downloaded 21 time(s). Forum Implicit Wolfram.sm (5kb) downloaded 17 time(s).
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Originally Posted by: Jean Giraud 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 (29kb) downloaded 25 time(s). Contour Advisor [Publish].sm (27kb) downloaded 22 time(s).
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