Note that in this thread we are talking about Newton's method for multivariate problems. I realize that that is not clear from the text.

Note that in this thread we are talking about Newton's method for multivariate problems. I realize that that is not clear from the text.

In all three of your examples, the result that "we are happy with" is the same result as returned by add. So what's the point of a new command?

@abbeykabir I can't fully describe it, because I know so little about the Document Mode. I just know that it is difficult for me to execute. The cursor does not jump to the next section. The value Digits gets reset in every section. When you create a new file, a submenu pops up with options "Worksheet Mode" and "Document Mode".

@abbeykabir I can't fully describe it, because I know so little about the Document Mode. I just know that it is difficult for me to execute. The cursor does not jump to the next section. The value Digits gets reset in every section. When you create a new file, a submenu pops up with options "Worksheet Mode" and "Document Mode".

The indicator that Mac Dude is taking about is available as

Statistics:-NonlinearFit(..., output= [residualmeansquare, ...])

@PatrickT So sorry. Please try again. I updated the code, changing expr to _E inside the `if`. I had made a mistake while transcribing the code from Maple by hand rather than cutting and pasting.

@PatrickT So sorry. Please try again. I updated the code, changing expr to _E inside the `if`. I had made a mistake while transcribing the code from Maple by hand rather than cutting and pasting.

There really is no explicit student version. It's just the regular version at a lower price. So, if you have a link to download the regular version, use that. Check your email for the email from Maplesoft with your link and activation code.

If you can't reduce it to three substitutions, can you make it any smaller number than what you had in the original?

@abbeykabir 

eq||(1..2) means eq1,eq2. It is not much of an abbreviation when there are only two variables, but the notation can be used for any number. See ?|| .

Unrelated: Could you please create your worksheets (that you want me to read) in Worksheet mode instead of Docuemnt mode?

@abbeykabir 

eq||(1..2) means eq1,eq2. It is not much of an abbreviation when there are only two variables, but the notation can be used for any number. See ?|| .

Unrelated: Could you please create your worksheets (that you want me to read) in Worksheet mode instead of Docuemnt mode?

@Markiyan Hirnyk I was wrong about the polar; it won't work for the reason you said. I didn't intend for my Reply to be considered an Answer.

@Jimmy I don't know. I suspect that the answer to that is a matter of some debate among statisticians. You should probably ask as a separate Question. Other people are less likely to jump into an existing thread, if they notice it at all.

I think that you may need to represent the coordinates separately. For the disk, use polar coordinates, choosing r and theta uniformly and independently. For the square, find a linear transform T that maps a rectilinear square to your square. Then choose X,Y (I am using names "X" and "Y" differently than you did in your Question)  uniformly and independently in the rectilinear square. Then your answer is

dist(< r*cos(theta), r*sin(theta) > - T(< X,Y >))