## Ramakrishnan

Dr. Ramakrishnan Vaidyanathan

## 259 Reputation

4 years, 359 days

## Social Networks and Content at Maplesoft.com

I have retired as Professor-Mechanical in Sri Venkateswara College of Engineering and Technology under Anna University affiliated colleges in Tamil Nadu, India. I have 19 years of Industrial and 20 years of teaching experience. I am learning Maple for the past four and half years hoping to make at least one appreciable maple presentation.

## Excellent...

Excellent update on Maple 2017.

Hope pde enhancements are explained with examples. It will be most useful for all practical applications.
Congratulations.

{a[1](2, 1) = 2/3,

a[2](2, 1) = 2/3,

a[3](1, 1) = a[3](1, 1),

a[3](1, 2) = -a[3](1, 1),

a[3](2, 1) = a[3](2, 1),

a[3](2, 2) = -a[3](2, 1)+2/3,

b[1](1) = 1/4,

b[1](2) = 3/4,

b[2](1) = 1/4,

b[2](2) = 3/4,

b[3](1) = b[3](1), assume 1 or zero and check

b[3](2) = b[3](2) assume 1 or zero and check}

## List of curves...

Hi! Thank you very much!

The answer was very useful, though I could not get the directly using the commands given.

The reasons being

(1) My document has data coordinates and not functions like sin, and cos.

(2) Data has x coordinates ranging from 1000.. and therefore constrained command did not give me curves.

(3)command 'discont' troubled me a lot. I am yet to find out what it did? It gave me good mind exercise when answers did not come.

(4) I appreciated MAPLE only once when it gave me a frank msg. The meaning of it was 'Donot give me y options, I know what to do?". I had to delete y = -4..4!

It was worth trying out your suggestions since I am exposed more to maple mind.

I also got a crisp suggestion from my close friend. I quote the same here

Quote, " then do exactly those three steps. Give each set of points a name such as d1, d2,...

Use the least-squared command four times, and give the resulting expressions the names c1,c2,...

Then, use the plot command plot([c1,c2,...],x=...)" unquote.

I followed this meticulously (not making mistakes, reading each alphabet, balancing parenthesis and curly braces..).

This also gave me several learnings about how agile we have to be while using MAPLE.

Finally I got the answer from him. I am attaching the doc link as well as doc below.

Thank you both

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Dear Professor, I got the answer.. Thanks. Regards.

Ramakrishnan V

very much.

Ramakrishnan V

## Explore command...

Very useful command that can be used to plot curves of generat form y=mxk +c

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Ramakrishnan V

rukmini_ramki@hotmail.com

## Navier-Stokes hand calculations...

There are experts who could have answered your question if the exact problem is mentioned instead of just Navier Stokes equation which involves density, viscosity, velocity, pressure all as variaables. A complete problem with Boundary and Initial conditions would help maple experts to help us. Hope Maple experts would be ready.Thanks.

Ramakrishnan V

rukmini_ramki@hotmail.com

## typo...

Very Good. It works well.

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## parse, cat...

The discussions on parse and concatenate commands are very productive and useful to not only me, but very many freshers learning maple. Thanks very much to all those involved in this discussions.

Ramakrishnan V

rukmini_ramki@hotmail.com

## colorByValue...

The vedio is very good. Since plotting is 3 dimnesional and user may change viewing point, colorband indicator (I may not be clear in my explanation) by the side of the plot would be very useful for a third user (other than the creator of the plot). It is just a vertical column with color and ccolor values used. This may be just the same used in the plot, but all color schemes and values indicated here in order. Ofcourse if the user does not follow a proper color code, a suggestion to him may be indicated and if the user still sticks to his color schmeme, maple may may decide to show the colouband indicator or not.

Regarding the webinar, the example taken at the very first is a little complicated . The second example on marks and the color plot is more revealing and appealing. All the color plots shown are in cluster groups and not an example to reveal an odd one out is shown.

These are my sincere opinions only. The webinar delivery is very excellenet and people from all over world will certainly understand what she comes to deliver. Congratulations to the presenter.

Ramakrishnan V

It is nice arrangement for people in the dark about maple advantages, get to know about the simple convenient steps for solving intricate problems meeting complex conditional requirements.

Best wishes for progress towards achieving highest standards in programming and performance evaluation.

Ramakrishnan V

rukmini_ramki@hotmail.com

## Graph obtained...

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 >
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 > plot(convert(F, list), x = 0 .. 10,  color = [red, black], scaling = constrained);
 >

Ramakrishnan V

rukmini_ramki@hotmail.com

## ProblemRevised solution plotted...

Thanks to Mr.Preben Alsholm, I am giving the answer provided by him with revised variables name. x as independent and y as dependent variable. In my opinion thought process and understanding will improve drastically (my experience).

In your problem z - f(x); In the revised problem y = f(x); Recised problem solved below.

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## Doubt on formation of problems...

The equation is in the form such that z is an indeoendent variable and x is a depenfent variable. To continue with standards already followed by experts, should we not cahnge the formulation and then solve as z(x) instead of x(z). After all assumptions are in our hands and standard practices are available.

The solution however is appreiated. What ever be the x(0) values shape is same except the x scale!

In the problem provided to us, z could be x, x could be y ( in my opinion) . For ode having only two variables, x as independent and y as dependent would be more helpful in future for future users.

Hope i am not wrong.

Thanks for not aggressive attacks on me.

## More on solution plot...

Enclosed curves give more clear picture of what the solutions mean to tell.

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## Usage of Transpose...

The second  answer given by you was the most beautiful answer for me. I used it as follows.

B:=LinearAlgebra:-Transpose(A)

Somehow i feel insecure with % sign.

Thanks a lot.

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Thank you sir for the above two answers.

Ramakrishnan V

## Transpose usage...

Thank you very much for the answer is very useful.

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