How to formulate conjectures using matlab or any other program

[rover]

Hi,
I hope that I am posting my post in the right section!
I have been given many numerical series that i am supposed to investigate. A part of the investigation is the formulate conjectures for each of them. This is very time consuming part of my assignment :yuck: . Therefore I would appreciate if anyone can tell me how to formulate conjectures on Matlab.

I have little experience using Matlab, so could you please give me step by step instructions!

Are there any other program that can formulate conjectures?

Thanks,
rover

 

[Diane_]

If by "formulate conjectures" you mean setting up a program to show you the terms or the sum for a certain finite sequence, then you can do it in MATLAB or any other programming language. In fact, you can do it on a spreadsheet. It's been ten years since I used MATLAB (cool language, by the way), so I'm afraid I'm out of practice there.

Thinking about it, if you're not too familiar with programming, I'm not sure I can give you enough information here to do it. I say that in preface to:

In C++, you could put a relation to calculate the terms of your sequence into a function, say seq(n) where n is the term you want. (If you have a recursion relation, you may need to use two arguments, where one is the previous term in the sequence.) Then, all you need is a loop, say:

for (short iCounter = 1; iCounter <= 10; ++iCounter)
cout << "Term " << iCounter << " = " << seq(iCounter) << endl;

If that makes absolutely no sense at all, then I'm afraid there's not much I can do to help you.

 

[tacman]

Hi Rover,

Formulating conjectures using Matlab or any other program can be a useful tool in exploring numerical series. Here are some steps to help you formulate conjectures in Matlab:

1. Start by importing your numerical series data into Matlab. This can be done by creating a matrix or importing a data file.

2. Once your data is imported, you can use various built-in functions in Matlab to analyze and manipulate the data. For example, you can use the "mean" function to find the average value of your series, or the "std" function to find the standard deviation.

3. Next, you can use the "plot" function to create a visual representation of your data. This can help you identify any patterns or trends in the series.

4. To formulate a conjecture, you can use the "polyfit" function in Matlab to fit a polynomial curve to your data. This can help you make predictions about the behavior of the series in the future.

5. You can also use the "corrcoef" function to calculate the correlation coefficient between your series and a potential conjecture. This can help you determine the strength of the relationship between the two.

Other programs that can be used to formulate conjectures include R, Python, and Excel. Each of these programs have their own unique functions and capabilities, so it may be beneficial to explore them and see which one works best for your specific data and needs.

I hope this helps you in your assignment. Good luck!