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From owner-molmodel@hgmp.mrc.ac.uk  Sat Dec  4 10:08:16 1999
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                     ******************************
                      CALL FOR RECOMB 2000 POSTERS 
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From owner-molmodel@hgmp.mrc.ac.uk  Fri Dec 17 11:55:19 1999
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From: Mark <gatfix@hotmail.com>
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Subject: calculation of angles
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I see that in many modelling programs
where an angle theta is to be calculated, it is very often
calculated as atan2(sin(theta),cos(theta)), where atan2,
according to the manual,
is a FORTRAN function approximately equal to
atan(sin(theta/cos(theta)).
I don't understand:

(a) why atan2(y,x) is preferred to atan(y/x);

(b) why one couldn't directly take acos(cos(theta)) or
asin(sin(theta)), instead of having to obtain both sine and cosine.
(the cosine of angle is easy to obtain, but sine is not).

Any help appreciated.                           Mark




Sent via Deja.com http://www.deja.com/
Before you buy.


From owner-molmodel@hgmp.mrc.ac.uk  Sat Dec 18 01:44:17 1999
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From: Lev Gorenstein <lev@purdue.edu>
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Subject: Re: calculation of angles
Date: Fri, 17 Dec 1999 20:37:07 -0500
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On Fri, 17 Dec 1999, Mark wrote:

M> I see that in many modelling programs
M> where an angle theta is to be calculated, it is very often
M> calculated as atan2(sin(theta),cos(theta)), where atan2,
M> according to the manual,
M> is a FORTRAN function approximately equal to
M> atan(sin(theta/cos(theta)).
M> I don't understand:
M> 
M> (a) why atan2(y,x) is preferred to atan(y/x);

Probably, atan2 does better job in determining the sign of the
angle (see below).
 
M> (b) why one couldn't directly take acos(cos(theta)) or
M> asin(sin(theta)), instead of having to obtain both sine and cosine.
M> (the cosine of angle is easy to obtain, but sine is not).

Think trig.  Let's say the angle that you're calculating is 60
degrees.  You calculate cosine (from the structure), take acos(0.5)
and get 60 degrees.  Everything is fine.  Now imegine, that the
angle is in fact -60.  You calculate cosine, but cos(-60) = cos(60), 
so the cosine is 0.5, and when you take acos, you would end up with
60 degrees, rather than -60.  So you are in trouble because of trig
equality cos(-x) = cos(x).

Same thing if you do it with with sine.  The fact that 
sin(x) = sin(180-x) would not allow you to distinguish between,
say, 30 and 150 degrees, or 210 and 330.

Therefore, you have to analize BOTH sine and cosine of your angle,
and assign a value according to the signs of both sine and cosine:

  0 < x < 90:	sin(x) positive, cos(x) positive
 90 < x < 180:	sin(x) positive, cos(x) negative
180 < x < 270:	sin(x) negative, cos(x) negative
270 < x < 360:	sin(x) negative, cos(x) positive

Thus, if you use atan(sine(x)/cosine(x)), and, for example, the
argument is positive, you would not know, whether it's because
the angle is in the first quadrant (both sine and cosine are
positive), or it is in the third quadrant (both are negative, thus
giving a positive tangent).  The atan() function will return a
value from the first quadrant.  It's my understanding that atan2
function does the above mentioned analisys of signs (since the
sine and cosine are supplied separately), and thus returns
the true value of angle.


Regards,
	Lev

-- 
186,282 miles per second: 
It isn't just a good idea, it's the law!




From owner-molmodel@hgmp.mrc.ac.uk  Mon Dec 20 12:30:21 1999
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From: John Osborn <j.c.osborn@br.ac.uk>
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Subject: Re: calculation of angles
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Lev Gorenstein wrote:
> 
> Thus, if you use atan(sine(x)/cosine(x)), and, for example, the
> argument is positive, you would not know, whether it's because
> the angle is in the first quadrant (both sine and cosine are
> positive), or it is in the third quadrant (both are negative, thus
> giving a positive tangent).  The atan() function will return a
> value from the first quadrant.  It's my understanding that atan2
> function does the above mentioned analisys of signs (since the
> sine and cosine are supplied separately), and thus returns
> the true value of angle.

As Lev Gorenstein says, one advantage of ATAN2 over ATAN is that it
takes care of the quadrant. It also ensures that the result is
greater than -pi and not greater than pi, whereas in the example
given by Mark, atan2(sin(theta),cos(theta)), it is not clear that
the argument theta is necessarily in this range. The definition of
ATAN2 in FORTRAN77 (and presumably also in more recent versions of
Fortran for which I do not have manuals at hand) is as follows:

ATAN2(X1,X2) = tan^-1(X1/X2) in radians = Y such that:
  -pi < Y <= pi;
  if X1 > 0, Y > 0;
  if X1 < 0, Y < 0;
  if X1 = 0 and X2 > 0, Y = 0;
  if X1 = 0 and X2 < 0, Y = pi;
  if X2 = 0 and X1 <> 0, |Y| = pi/2;
  X1 and X2 cannot both equal 0.
(The symbol <= means "less than or equal to"; <> means "not equal to".)
Note that the definition allows for the possibility that X2 = 0,
whereas if one simply used ATAN(X1/X2) one would first need to test
for the possibility that X2 = 0 and handle it separately to avoid
an undefined intermediate result for X1/X2.

-- 
    John Osborn
    University of Bradford, UK.
    To reply by email, replace "br" by "bradford" in my email address.


From owner-molmodel@hgmp.mrc.ac.uk  Mon Dec 20 21:04:13 1999
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From: vakseri@musc.edu (Ilya Vakser)
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Subject: Postdoc in Protein Modeling and Bioinformatics
Date: 20 Dec 1999 21:04:08 -0000
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POSTDOC IN PROTEIN MODELING AND BIOINFORMATICS

Applications are invited for a postdoctoral position in my laboratory at
the Medical University of South Carolina. 

The main subjects of the research in the laboratory are computational
studies of molecular recognition and the development of docking
methodology for structural bioinformatics. For more information, see the
lab's web site at http://reco3.musc.edu. 

Programming skills in C are required. 

The position is available immediately. To apply send or email a letter
and CV with names of 3 referees. 

Ilya A. Vakser
Assistant Professor of Pharmacology
Department of Cell and Molecular Pharmacology
Medical University of South Carolina
173 Ashley Avenue, POBox 250505
Charleston, SC 29425

Email: vakseri@musc.edu, Phone:(843)792-2471, Fax:(843)792-2475
---


From owner-molmodel@hgmp.mrc.ac.uk  Tue Dec 21 16:18:56 1999
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From: ps2t@unix.mail.virginia.edu (Pornthep Sompornpisut)
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Dear Colleagues,

   I have a few questions concerning about calculation of the solvent
accessible surface area of proteins. Here they are as follows:

 1. Does anyone know if there is any source code available for
calculating accessible surface area derived from analytical
function?  
 2. What is the best current approach to express the surface areas as a
function of interatomic distance?

   Any response are welcome and appreciated. Thank you in advance.

Thep
==================================================================
Department of Physiology
University of Virginia
ps2t@virgnia.edu
==================================================================


---


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From: qeo80@mail.oktasys.fi (Fun N EZ!)
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 GET THE MOST out of your cable TV by using this 
 SIMPLE "Easy Tuning" device!  YOU WILL HAVE GREAT RESULTS! 
 YOU will be enjoying PREMIUM cable Stations in just a few days!

 This Cable TV Signal Descrambling DEVICE will make your 
 viewing experince MUCH MORE ENJOYABLE! 

There is one problem though. It may accidentally Descramble stations 
that NORMALLY are offered by your cable provider for an additional fee. 
This would include:

 BOX OFFICE HIT MOVIES!

  PREMIUM SPORTING EVENTS!

   SPECIAL INTEREST PROGRAMING!

     And even   ADULT ENTERTAINMENT!

You can EASILY assemble a cable fine tuner in less than 30 minutes!
You have probably seen many advertisments for similar plans.........
BUT OURS are BETTER! 

We have compared it to all the others and have actually
IMPROVED the quality and SIMPLIFIED the design !!!


**  We even include PHOTOS! **


OUR PLANS ARE BETTER! 
We have NEW, EASY TO READ,EASY to assemble plans for only $7.00! 
We have seen them advertised for as much as $29.00 and you have 
to wait weeks to receive them!       


WHAT THE OTHERS SAY IS TRUE!

Parts are available at  "The TV HUT"  or any electronics store.  
Trademark rights do not allow us to use a national electronics 
retail chains' name but there is one in your town!  


Call and ask them BEFORE you order! 
They are very familiar with these plans! 
 


You will need these easy to obtain parts :

 270-235                        mini box
 271-1325                       2.2k ohm resistor 
 278-212                        chasis connectors
 RG59 coaxial cable             #12 copper wire 
 Variable capacitor


     They may have to  special order the variable capacitor,
     But WHY WAIT for a special order?  WE have them!


     WE have secured a supply of the capacitors directly from
     the manufacturer and We WILL include one with your plans
     for an ADDITIONAL  $10.00 only!
    

     All you need now is the EASY TO ASSEMBLE plans to
     show you how to assemble this educational device in 
     30 MINUTES! 

 It is LEGAL, providing of course you use these plans for 
 EDUCATIONAL PURPOSES only. See first hand and LEARN how this
 SIMPLE circuitry works! If you intend to use these plans for
 any other purpose DO NOT ORDER them.  
   

 IT'S FUN TO BUILD!  


We're sure you'll enjoy this project!                            
This is a unique opportunity for hobbiest of
ANY skill level to learn simple circuitry!


                Learn how easy DESCRAMBLING is!           

                $ 7.00     for plans only                        
                
                $10.00     for variable capacitor only            

                $17.00     for The easy to assemble plans and one 
                           variable capacitor!	

                 


Please send check or money order payable to:           


Millenium Magic
Box# 472425
San Francisco, Ca.
94147      		            


WE pay postage and handling!          
Please allow 10 days for delivery.




Thank
You




po
look
xcy55



















































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From owner-molmodel@hgmp.mrc.ac.uk  Wed Dec 22 11:30:50 1999
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From: ptitjean@ccr.jussieu.fr (Michel PETITJEAN)
X-Newsgroups: bionet.molec-model
Subject: Re: surface area source code (request)
Date: 22 Dec 1999 12:30:12 +0100
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In article: <Pine.A41.4.05.9912211105220.99006-100000@node5.unix.Virginia.EDU>
Pornthep Sompornpisut (ps2t@unix.mail.virginia.edu) wrote:
>   I have a few questions concerning about calculation of the solvent
>accessible surface area of proteins. Here they are as follows:
>
> 1. Does anyone know if there is any source code available for
>calculating accessible surface area derived from analytical
>function?  
> 2. What is the best current approach to express the surface areas as a
>function of interatomic distance?
>

1) Formulas for analytical computations of spheres intersections are
in my paper: J.Comput.Chem.1994,15[5],507-523. The associated executable
programme ASV is available (free) on various platforms, including RS6000,
CRAY J90 and YMP familiy, DEC-alpha (VMS and unix), SGI (various
architectures) and LINUX. Just specify which version(s) you need and
you shall receive it via email. If you need a rapid computation for
large molecules without the analytical accuracy, the Monte-Carlo code
is also included is ASV. The Monte-Carlo subroutines (FORTRAN) are
also free. The full sources of ASV (which computes both surfaces and
volumes) are available for people initiating a collaboration.

2) Surfaces areas are expressable from sphere radii and cartesian coord
of centers, and coord are get from the matrix of interatomic distances
with multidimensional scaling. Recovering N 3-tuples of coordinates
from the N*N distances matrix via multidimensional scaling can be found
in most descriptive statistics textbook. If you have an incomplete
distance matrix, you have to operate iteratively, assuming that the
coord of a 3D point are obtainable from the 3 distances from 3 reference
points together with a flag showing on which side of the plane is the
new point. The analytical formula is also in my paper, because it is
equivalent to look at the two 3D-points at the intersection of three
3D-spheres.

Michel Petitjean,                     Email: petitjean@itodys.jussieu.fr
ITODYS (CNRS, ESA 7086)                      ptitjean@ccr.jussieu.fr


From owner-molmodel@hgmp.mrc.ac.uk  Sun Dec 26 00:15:42 1999
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From: "corrado" <corradodellanoce@libero.it>
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Hail at all
It's possible make a indicator of pH in House?
Thanks for the answers

Bye from Corrado




From owner-molmodel@hgmp.mrc.ac.uk  Mon Dec 27 18:25:26 1999
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Molecular Mechanics  for Win95/NT -- http://home.ici.net/~hfevans/chempen3d.htm
NMRPen C-13 NMR Shift -- http://home.ici.net/~hfevans/nmrpen.htm
Chemical Structure Drawing -- http://home.ici.net/~hfevans/chempen.htm
Organic Reactions -- http://home.ici.net/~hfevans/reactions.htm





From owner-molmodel@hgmp.mrc.ac.uk  Wed Dec 29 15:28:04 1999
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