02/10/2015, 02:40 PM
(This post was last modified: 02/10/2015, 02:42 PM by Kouznetsov.)
(02/10/2015, 12:12 PM)MphLee Wrote: Ok, let's try it. ..I think, you are doing in the correct way. I hope, you made no errors.
..
\( k=\ln({\ln(b)b^L\over a_1}) \)
Is this correct?
Keep in mind, that \( L \) is fixed point, id est, \( b^L=L \)
Do you have any software at your computer to check your deduction?
I used Maple; then I found that it is not so good, http://en.wikisource.org/wiki/Maple_and_Tea
and Mathematica does this better.
In addition, I use C++ to plot graphics and the complex maps, and you can do the same. You may use my algorithms and codes, and you may write your own codes, it is better for your education. Keep in mind, that all codes have bugs.
If you get some tens coefficients with Mathematica and use them in the C++ code, the resulting implementation may return of order of 14 significant figures, and allow to plot the complex maps in the real time.
You may load the examples from
http://mizugadro.mydns.jp/t/index.php/Category:Book
http://mizugadro.mydns.jp/t/index.php/Category:C%2B%2B
Try to write your own algorithms.
Run the tests.
Substitute the functions you get into the equations they are supposed to satisfy. Plot the residuals.
Compare your calculus to my calculus.
Try to make your algorithms more precise, than my ones.
Try to make your algorithms shorter and simpler, than my ones.
Try to make your algorithms faster, than my ones.
Try to make your algorithms more general, than my ones.
Citius, Altius, Fortius!
Quote: .. I'm really curious about this but I'm also sorry if is so hard..Do not worry. Keep doing. If you see any error in my book, let me know immediately. Ask a question as soon as you can formulate it.
Your questions help me to organise better the English version of the Book.
Sincerely, Dmitrii.
