I did not understand fully some of the notation used in 2D when I had the tools->options->Display->Output display->2D. So I thought if I change it to Maple notation. I might see what the symbol actually mean.  But when I did so, the result was even more confusing. Full of typesetting:-mrow commands and hard to read.

Here is the output in 2D

restart;
int(1/( (x-a)*(x-b)),x=-infinity..infinity  );

And here is the output when I switched to Maple output:

I was expecting to see "normal" looking Maple commands, which I can understand. Even the Latex is easier to read than the above mumple jumple code:

Does this mean one should forget about using Maple notation for output from now on? Why is it the output so complicated?

I am having hard time understading how a style sheet works with Maple. I am trying to use the "document mode" and would like to change the font used for math.

The first question I have is: How does one determine which style sheet is being used for the current open document?

Second: I have followed instructions on how to make a custom style sheet, as shown here: https://www.maplesoft.com/support/faqs/detail.aspx?sid=87675 and saved the style sheet on some location on my PC.

But it seems to have no effect at all. Since when I load it again using Format->Manage style sheet->User defined style set, then using the Browse... and select the file my_style.mw which I created using above instructions, I notice that fonts remain the same. I also close Maple and start again, and select my_style.mw again, but when I start typing in document mode, the font is still italic, even though in the XML I see it says  talic="false" (when I open the file in text editor):

<Font name="2D Math" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>

I even tried editing the style sheet I think Maple is using, by hand (it is an XML, and modified the font to be not italic) and reloaded it, and no effect. I even added invalid entries in there, and invalid font names, just to see the effect, and nothing happens, no error or anything. It is as if Maple does not even read the style sheet I just saved.

All what I want to do it to make the math 2D input, be _not_ italic font. I spend one hr on this, and nothing seems to make any difference, Maple insist on using italic for math input when in document mode.

Why is it that the style sheet says talic="false" for 2D math, but when I start to type, it types as italic?

As you can see, when I type, it switch to italic, even though the style sheet I just set, it clearly saying italic=false. There is not one single italic=true in the whole XML file. Why is Maple insisting on using italic?

I am using Maple 2016 on windows. 

I was learning about Maple, but I do not understand this code below. This does not look correct.

http://www.maplesoft.com/support/help/Maple/view.aspx?path=Task/ConvertExpressionToFunction

When I type it on my worksheet, I get these errors

Sometimes I wonder if any one at Maplesoft actually looks at their own help web pages and try to use them, or is just the poor users who do that.

I noticed Maple gives different order of term (but still correct) when variable y or z is used, vs. other letters in this computation.

In this example below, integral results are given, using one letter of the alphabet at a time in the integrand. 

Only when the variable is y or z, Maple shows expression in different form from all the others (negative sign pulled out). The result are correct ofcourse, but was wondering why this hapens only for these two variables? I would have expected that variable name (letter used) should not make any difference to the final form.

restart;
interface(rtablesize=infinity):
chars:=[seq(parse(StringTools:-Char(i)),i=97..122)]: #generate a..z variables, may be there is better way?
Matrix([seq([chars[i0],simplify(int((c0^2 - c1^2)/(chars[i0] - x0+I*c3), x0))],i0=1..nops(chars))]);

Gives (this below. Notice the very last 2 entries below)

Is this something common in Maple? Does it depend on the computation being performed? Can a user do something to tell Maple not to change order/form of expression depending on what variable letter is used?

Give this

ode:=diff(y(x),x)=a*cos(y(x))+b;
sol_1:=2*arctan( (a+b)/sqrt(b^2-a^2) * tan(1/2*sqrt(b^2-a^2)*(x+_C1)));
sol_2:=2*arctan( sqrt(a+b)/sqrt(b-a) * tan(1/2*sqrt(b^2-a^2)*(x+_C1)));

sol_1 and sol_2 are the same. Only difference is that I wrote  (a+b)/sqrt(b^2-a^2) in one, and  sqrt(a+b)/sqrt(b-a) in the other. But these two expressions are the same. But odetest gives zero on the first and not on the second:

odetest(y(x)=sol_1,ode);
       0

odetest(y(x)=sol_2,ode);
       not zero 

Why did Maple not verify sol_2?

Maple 2016.1 on windows 7