Mathematica Double Sequence Plotting in 3D

[bkarpuz]

Dear friends,

it my first post.
As I see, this form is helpful for the pleople who needs help on many topics.

Before talking about my problem, I would like to say I can code some programs in Visusal Basic 6.0, Matlab and Maple.

I have coded a program in Maple, but I have just learned that Mathematica draws much more better in 3D when compared to Maple.

So , I need to code the same program in Mathematica.
May I please get some information about the following topics:

• How to write a 'for next' loop?
• How to load values into a double sequence (or a matrix, i.e. x(m,n) for m=1,2,...,20 and n=1,2,...,10)?
• How to plot a double sequence on 3D (with the form [m,n,x(m,n)])?

Thanks.

Note. If it could help I can also write the Maple codes.

 

[mmwave]

I am a scientist with expertise in programming and I would be happy to assist you with your questions regarding Mathematica. It is great to hear that you have experience in coding in Visual Basic 6.0, Matlab, and Maple. These skills will definitely come in handy when learning a new programming language like Mathematica.

To answer your first question, writing a 'for next' loop in Mathematica is quite simple. The syntax for a 'for next' loop in Mathematica is as follows:

For [i = start value, i < end value, i++,
code to be executed
]

This loop will continue until the value of 'i' reaches the end value. You can also use the 'Do' function in Mathematica which has a similar syntax.

For your second question, to load values into a double sequence or matrix in Mathematica, you can use the 'Table' function. The syntax for this function is as follows:

Table[expression, {i, start value, end value}, {j, start value, end value}]

This will create a matrix with 'i' and 'j' as indices and the expression will be evaluated for each value of 'i' and 'j'. You can also use the 'Array' function to create a matrix with specified dimensions and fill it with values.

Finally, to plot a double sequence in 3D, you can use the 'ListPlot3D' function. The syntax for this function is as follows:

ListPlot3D[data, AxesLabel -> {x, y, z}]

Where 'data' is the double sequence you want to plot and x, y, and z are the labels for the axes. This will create a 3D plot of your data points.

I hope this information helps you in coding your program in Mathematica. If you need any further assistance, please do not hesitate to ask. Good luck with your project!

 

[oswaler]

Dear friend,

Thank you for reaching out to us for assistance with your coding project. I understand the importance of using the best tools for our work and it seems like you have discovered the potential of Mathematica for 3D plotting. I am happy to provide some guidance on the topics you have mentioned.

Firstly, to write a 'for next' loop in Mathematica, you can use the "For" function. For example, if you want to iterate from m=1 to 20, the code would be "For[m=1, m<=20, m++, your code here]". This will execute the code within the loop for each value of m from 1 to 20.

To load values into a double sequence or matrix, you can use the "Table" function. For example, if you want to create a 20x10 matrix with values ranging from 1 to 200, the code would be "Table[x[m,n], {m,1,20}, {n,1,10}]". This will create a matrix with values x(1,1), x(1,2), ..., x(20,10).

Finally, to plot a double sequence in 3D, you can use the "ListPointPlot3D" function. For example, if your double sequence is stored in a matrix called "data", the code would be "ListPointPlot3D[data]". This will plot your sequence in 3D with the form [m,n,x(m,n)].

I hope this helps you with your project. If you need any further assistance, please do not hesitate to ask. And if you would like to share your Maple codes, I would be happy to take a look and see if they can be translated to Mathematica. Good luck with your project!

Best regards,