janhardo

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11 years, 38 days

MaplePrimes Activity


These are replies submitted by janhardo

@acer 

Thanks

I got them all three types of the "quotes" on the keyboard 
So, what's the problem you ask? ..i try again

Also  i looked a the calculation of a population modelled with a differential equation
There are some errors in it, perhaps it can be solved ?

It are old worksheets and don't know if the calculation can be modernized.

@acer 

Thanks
Good to know.

Then i use in the worksheet only 2D input as easy reading math and not for computing.

@Carl Love 

Thanks 

The legend option is hardcoded in Maple then.
Why is it necessary to get a box around the legend if you want it to be more sober  the plot ?

It's not a easy thing to do to program this for a average Maple user as you did.
To make it general for more advanced functions as needed could  be helpful ?

@acer 

Thanks

Its was wondering why i get "round d's" for the derative after using the right-click menu to chance it to 2D Input , but it seems that you get  the straight d ( Leibniz notation if i am correct)

I will reproduce it again and look now again.

diff(lhs(%)-rhs(%)=0);

Put the vertical cursor in the expression or at the end after or selected the whole expression, and in all cases i get  :  

Note: the prime notation i does not work too , because it is not on my keyboard ? 
The language for the keyboard is choosable, but the feedback on my computer about this has disappeared? 

@Carl Love 

Interesting, how you have made it ?
I like to see round parenthesis for the the graph intersections and with a dot 
Don't like the black borders around the legenda 

But that's me...

@acer 

Thanks

More closely looked , indeed. 
 Its only the logic   : Plts variable is a sequenze of 4 plots .. something in the plot command places the plots in a list..[  ]   

 

@Christopher2222 

Thanks 

@Scot Gould 

Thanks

Yes,i am using key F5 frequently

@rlopez Thanks

For me, the 2D math input conversion to maple input has proven to be useful 
Probably  i don't need more? 
One hot key for toggling between 2d input and maple input 

I was doing some math with the Riemann hypothese : How to plot the approximation graph for the primes staircase - MaplePrimes
Note: only finding formula Z(t) is a another search.

Was a timesaver and not knowing how to input the formula Z(t)  in maple input without errors. 

@Scot Gould 

Thanks 
Can be useful.

Thanks

With ALT-R  is giving a performance overlay screen from the graphical card on the desktop of the computer.
There is no focus on the Maple screen to get for these hot keys.

Ideal should be one hotkey for toggling ..well two i accept too. 

@Ronan 

Thanks

Yes, it is exactly what i want and overlooked your maple worksheet 
Its only that i don't see the logic of your code in relation with a list.

This k = [1, 2, 4, 6] in the plot3d command where is this documented in Maple?

The prime notation has become a standard in Maple

Strange i don't get the prime function standard in Maple not working yet ?

Also the function definition in the lessons hereunder ?

Maple for Differential Equations (yfei.page)

  • In Maple (version >=10), the prime derivative notation also works. For example, given a function f(x):= sin(x^2), the second derivative of can be calculated using the command f''(x). When applying the prime derivative notation to a function or an expression, the result is in the same type. The default differentiation variable for the prime notation is x. To change it the another variable, say tt, you may use the following command

    Typesetting:-Settings(prime = t) 
    # Change the default differentiation variable to t.

    Here, the symbol # is the comment symbol in Maple.

When using diff or the prime derivative notation to an expression, the result is an expression. To evaluate it, you may use the subs command. Another way is to apply unapply to the result to convert it into a function (operator).

restart;

 

some examples for function of two variables as expression

z:=3*x^3*exp(2*y)+x^2*y^2;

3*x^3*exp(2*y)+x^2*y^2

(1)

# differentiate two times partially to x

Diff(z,x,x)=diff(z,x,x);

Diff(3*x^3*exp(2*y)+x^2*y^2, x, x) = 18*x*exp(2*y)+2*y^2

(2)

(* $ is handy to use for higher partials , three  times z partial to x *)

Diff(z,x$3)=diff(z,x$3);

Diff(3*x^3*exp(2*y)+x^2*y^2, x, x, x) = 18*exp(2*y)

(3)

# as a function

f:=(x,y)->3*x^3*exp(2*y)+x^2*y^2;

proc (x, y) options operator, arrow; 3*x^3*exp(2*y)+x^2*y^2 end proc

(4)

fxx:=D[1,1],(f); # ?? wrong in book.. no , !

D[1, 1], f

(5)

?D

fxx:=D[1,1](f);

proc (x, y) options operator, arrow; 18*x*exp(2*y)+2*y^2 end proc

(6)

fx:=D[1](f);

proc (x, y) options operator, arrow; 9*x^2*exp(2*y)+2*x*y^2 end proc

(7)

fxxx:=D[1,1,1](f); # correct

proc (x, y) options operator, arrow; 18*exp(2*y) end proc

(8)

fx3:= D[1$3](f);

proc (x, y) options operator, arrow; 18*exp(2*y) end proc

(9)

fyxx:=D[2,1,1](f);

proc (x, y) options operator, arrow; 36*x*exp(2*y)+4*y end proc

(10)

fxyyx:=D[1,2,2,1](f);

proc (x, y) options operator, arrow; 72*x*exp(2*y)+4 end proc

(11)

fxy2x:=D[1,2$2,1](f);

proc (x, y) options operator, arrow; 72*x*exp(2*y)+4 end proc

(12)

 

Some examples here and using another noatation input with a subscript  for diff in (2) ..can it be simpler?
Using the D operator makes it much easier, so there is no need for a simpler notation, but after the reading the post of dr Lopez

  • subscript as partial differentation operator-1
  • subscript as partial differentation operator 2

What to do?

 

Download prime_en_functie_index.mw

@ecterrab 

Thanks

Make a input with a prime notattion and a input with a indexed function notatation ( like by hand) has now my interest for elementary calculus 

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