## Search found 56 matches

Sun Mar 16, 2008 9:06 pm
Forum: Mathematics
Topic: 4 variable nomogram article
Replies: 5
Views: 32554

### Re: 4 variable nomogram article

I looked Allcock's book about grid-nomographs and there seems to be nothing special about grid nomograms compared with line nomograms made by constructional determinant. One has to make projective transformation from four original points to for destination points. Case f+g+h=0 may be an exception. O...
Tue Mar 11, 2008 6:18 pm
Forum: Mathematics
Topic: Half of a mortgage nomogram
Replies: 9
Views: 40342

### Re: Half of a mortgage nomogram

I downloaded your PyNomo program and all the associated software (I already had MiKTeX) and I'm starting to explore it. Very impressive. Ron Note that I made loan nomogram with the PyNomo version under development. The Sourceforge latest version 0.1.0b1 is from October and it will take some time be...
Mon Mar 10, 2008 9:06 pm
Forum: Mathematics
Topic: Multiple scales on one curve
Replies: 3
Views: 23554

### Re: Multiple scales on one curve

Hi All, I've looked more into using Weierstrass' Elliptic Functions to create a nomogram, and I've posted an essay with the details: http://myreckonings.com/wordpress/2008/02/24/a-zoomorphic-nomogram/ Ron Nice nomogram with a combination of art and math ! I've never seen Epstein's book. Has anyone ...
Mon Mar 10, 2008 8:49 pm
Forum: Mathematics
Topic: Half of a mortgage nomogram
Replies: 9
Views: 40342

### Re: Half of a mortgage nomogram

I have been working on the PyNomo project and as an demonstration managed to make amortization nomogram with exact equation. Half of nomogram is in spirit of nomogram from d'Ocagne 1899 book page 306. The nomogram may be downloaded from: http://pynomo.org/examples/amortization_100308.pdf I have work...
Fri Feb 08, 2008 8:13 pm
Forum: Mathematics
Topic: Half of a mortgage nomogram
Replies: 9
Views: 40342
Great nomogram! How about if you would just fit coeffs for polynomials F1,F2,G2,F3 in function F1(a)=F2(n)+G2(n)*F3(i) such that error would be minimized for every combination of a,n,i in specified range ? This is of course the approach I already proposed. I looked my code and found that I actually ...
Sun Feb 03, 2008 10:18 am
Forum: Mathematics
Topic: Two straight scales with a weird curvy scale in the middle
Replies: 9
Views: 45065
For interest, I think it was 1% to 10% and 5 to 50 years. By polynomials I got somewhere of 4% maximum error if I recall right. It was anyway little too much. For transformations: transformations do not change the basic equation. But maybe transformation could be such that in inaccurate region readi...
Sat Feb 02, 2008 1:25 pm
Forum: Mathematics
Topic: Two straight scales with a weird curvy scale in the middle
Replies: 9
Views: 45065
My feeling is, that by taking the most general three variable nomogram of form g(u){ f(v) - f(w) } + g(v){ f(w) - f(u) } + g(w){ f(u) - f(v) } = 0 [see. e.g. http://www.projectrho.com/nomogram/standardForms.html] and fit polynomials to all six functions to match the real equation, one can get closes...
Thu Jan 31, 2008 8:12 pm
Forum: Mathematics
Topic: Two straight scales with a weird curvy scale in the middle
Replies: 9
Views: 45065
If I understand correctly, this is close to a term "rectification of curves" that is discussed e.g. in Ref. [p. 180, Levens, 2nd Ed, 1965]. The question is how one can make log(f(x))-log(g(y)) plots where all curves g(z)=const are straight lines. Sometimes this does not work out and result...
Sun Jan 27, 2008 11:41 am
Forum: Mathematics
Topic: Multiple scales on one curve
Replies: 3
Views: 23554
I don't know or own the book (yet). Ordered it in order to find out...
http://www.abebooks.com/servlet/SearchR ... y&x=55&y=9

\leif
Fri Jan 25, 2008 7:52 pm
Forum: Literature
Topic: Best books on nomography ?
Replies: 12
Views: 80701
Have you seen Winchell Chung's pages? e.g. http://www.projectrho.com/nomogram/standardForms.html He has an extensive bibliography, with short reviews of many of the books: http://www.projectrho.com/nomogram/reading.html It is my understanding that Winchell has written a fair bit of nomography code ...
Sat Jan 05, 2008 11:59 am
Forum: Literature
Topic: Best books on nomography ?
Replies: 12
Views: 80701

### Best books on nomography ?

I'm interested about nomography books. I have bought quite many of them, but many of them are not very mathematical and most of them discusses same topics. The book "Otto: Nomography" is an exception and it discusses also some mathematical tricks to make determinants and criteria for nomog...