From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Apr 1 07:23:24 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h31DNN406725 for reliable_computing-outgoing; Tue, 1 Apr 2003 07:23:23 -0600 (CST) Received: from mion.elka.pw.edu.pl (root [at] mion [dot] elka.pw.edu.pl [194.29.160.35]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h31DNHH06721 for ; Tue, 1 Apr 2003 07:23:17 -0600 (CST) Received: from mion.elka.pw.edu.pl ([194.29.160.35]:37832 "EHLO mion.elka.pw.edu.pl") by mion.elka.pw.edu.pl with ESMTP id ; Tue, 1 Apr 2003 10:12:00 +0200 Date: Tue, 1 Apr 2003 10:11:48 +0200 (MET DST) From: Bartlomiej Jacek KUBICA To: Subject: interval Markov chains (was: Re: your mail) In-Reply-To: Message-ID: MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Virus-Scanned: by AMaViS perl-11 mion Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Hello, On Mon, 31 Mar 2003, Lenin Bhavanandan wrote: > Dear Kubica, > > The following paper discusses a method to find stationary probabilities > of Markov chains: > > I.O. Kozine and L.V. Utkin. Interval-valued finite Markov chains. > Reliable Computing, 8(2002), 97-113. Thank you very much for the information. Is it possible to download this paper anywhere from the web ? I'm afraid I don't have any access to this volume of RC. Can anyone help me ? Thank you in advance. Best regards Bartlomiej Kubica From owner-reliable_computing [at] interval [dot] louisiana.edu Sat Apr 5 15:09:00 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h35L8xG11667 for reliable_computing-outgoing; Sat, 5 Apr 2003 15:08:59 -0600 (CST) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h35L8rH11663 for ; Sat, 5 Apr 2003 15:08:54 -0600 (CST) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.3/8.11.3) with SMTP id h35L8e926622 for ; Sat, 5 Apr 2003 14:08:40 -0700 (MST) Message-Id: <200304052108.h35L8e926622 [at] cs [dot] utep.edu> Date: Sat, 5 Apr 2003 14:08:40 -0700 (MST) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: special interval issue of Fuzzy Sets and Systems To: reliable_computing [at] interval [dot] louisiana.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=ISO-8859-1 Content-MD5: qiz29psuGRUPi41A3uIzqw== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from QUOTED-PRINTABLE to 8bit by interval.louisiana.edu id h35L8sH11664 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Fuzzy Sets and Systems Copyright © 2003 Elsevier Science B.V. All rights reserved Volume 135, Issue 1, Pages 1-212 (1 April 2003) Interfaces between Fuzzy Set Theory and Interval Analysis Edited by W.A. Lodwick, K.D. Jamison Weldon A. Lodwick and K. David Jamison Special issue: interfaces between fuzzy set theory and interval analysis, Pages 1-3 Interval analysis and fuzzy set theory, Pages 5-9 Ramon Moore and Weldon Lodwick Rudolf F. Albrecht Topological interpretation of fuzzy sets and intervals, Pages 11-20 Arnold Neumaier Fuzzy modeling in terms of surprise, Pages 21-38 Felipe Fernández and Julio Gutiérrez A Takagi-Sugeno model with fuzzy inputs viewed from multidimensional interval analysis, Pages 39-61 Marcello A. Anile, Primo Furno, Giovanni Gallo and Alessandro Massolo A fuzzy approach to visibility maps creation over digital terrains, Pages 63-80 J. Bondia and J. Picó Analysis of linear systems with fuzzy parametric uncertainty, Pages 81-121 Masahiro Inuiguchi, Jaroslav Ramík and Tetsuzo Tanino Oblique fuzzy vectors and their use in possibilistic linear programming, Pages 123-150 Masahiro Inuiguchi, Jaroslav Ramik, Tetsuzo Tanino and Milan Vlach Satisficing solutions and duality in interval and fuzzy linear programming, Pages 151-177 G. William Walster and Vladik Kreinovich Computational complexity of optimization and crude range testing: a new approach motivated by fuzzy optimization, Pages 179-208 Acknowledgement to the Referees, Pages 209-212 Lists of Editors, Pages ii-iv From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Apr 9 05:36:41 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h39Aae116078 for reliable_computing-outgoing; Wed, 9 Apr 2003 05:36:40 -0500 (CDT) Received: from web10308.mail.yahoo.com (web10308.mail.yahoo.com [216.136.130.86]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with SMTP id h39AaYH16074 for ; Wed, 9 Apr 2003 05:36:35 -0500 (CDT) Message-ID: <20030409103627.59415.qmail [at] web10308 [dot] mail.yahoo.com> Received: from [202.54.67.195] by web10308.mail.yahoo.com via HTTP; Wed, 09 Apr 2003 03:36:27 PDT Date: Wed, 9 Apr 2003 03:36:27 -0700 (PDT) From: "M.V.Rama Rao" Subject: Interval numbers in Structural Analysis To: reliable_computing [at] interval [dot] louisiana.edu, reliable_computing [at] interval [dot] usl.edu In-Reply-To: <200304052108.h35L8e926622 [at] cs [dot] utep.edu> MIME-Version: 1.0 Content-Type: multipart/alternative; boundary="0-1891927283-1049884587=:58139" Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk --0-1891927283-1049884587=:58139 Content-Type: text/plain; charset=us-ascii Dear Colleagues: Here is a query related to interval numbers: Suppose there are two interval numbers [e,f] and [c,d] if e = a+c and f = b+d , then [e,f] = [a+c,b+d] then [e,f] - [c,d] = [a+c,b+d] - [c,d] = [a+c-d, b+d-c] which is an overestimation instead if i express [e,f] = [a,b]+[c,d] then I think [e,f] - [c,d] = [a,b] + [c,d] - [c,d] = [a,b] + (1-1)[c,d] = [a,b] similarly [a-d,b-c] + [c,d] = [a,b] -[c,d] +[c,d] = [a,b] +(-1+1)[c,d] = [a,b] Is this approach correct. if so, how to implement it in a computer program? I am facing the problem of overestimation , when several fuzzy interval loads are simultaneously acting on the structure, the overall interval displacement vector ( which is usually obtained by superposition of various load cases) is getting expanded. can some one help me regarding how to handle this problem? Regards M.V.Rama Rao M.V.Rama Rao Senior Lecturer in Civil Engineering, Vasavi College of Engineering,Hyderabad-31 INDIA Phone : +91 (040)23532350 (R) +91(040)2359 0343 (R) FAX +91(040)2352 5323 e-mail ramu_mallela [at] yahoo [dot] com --------------------------------- Do you Yahoo!? Yahoo! Tax Center - File online, calculators, forms, and more --0-1891927283-1049884587=:58139 Content-Type: text/html; charset=us-ascii

Dear Colleagues:

Here is a query related to interval numbers:

Suppose there are two interval numbers

[e,f]  and  [c,d]

if   e = a+c  and   f = b+d , then

[e,f] = [a+c,b+d]

then [e,f] - [c,d]  = [a+c,b+d] - [c,d] =  [a+c-d, b+d-c]  which is an overestimation

instead if i express [e,f] = [a,b]+[c,d]  then  I think

[e,f] - [c,d] =  [a,b] + [c,d] - [c,d]  = [a,b] + (1-1)[c,d] = [a,b]

similarly [a-d,b-c] + [c,d] = [a,b] -[c,d] +[c,d] = [a,b] +(-1+1)[c,d] = [a,b]

Is this approach correct. if so, how to implement it in a computer program?

I am facing the problem of overestimation , when several fuzzy interval loads are simultaneously acting on the structure, the overall interval displacement vector ( which is usually obtained by superposition of various load cases) is getting expanded. can some one help me regarding how to handle this problem?

Regards

M.V.Rama Rao

 

 

 



M.V.Rama Rao
Senior Lecturer in Civil Engineering,
Vasavi College of Engineering,Hyderabad-31 INDIA
Phone : +91 (040)23532350 (R) +91(040)2359 0343 (R)
FAX +91(040)2352 5323
e-mail ramu_mallela [at] yahoo [dot] com



Do you Yahoo!?
Yahoo! Tax Center - File online, calculators, forms, and more --0-1891927283-1049884587=:58139-- From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Apr 9 07:17:30 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h39CHT916232 for reliable_computing-outgoing; Wed, 9 Apr 2003 07:17:29 -0500 (CDT) Received: from imf38bis.bellsouth.net (mail119.mail.bellsouth.net [205.152.58.59]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h39CHOH16228 for ; Wed, 9 Apr 2003 07:17:24 -0500 (CDT) Received: from Inspiron-8200 ([65.83.165.91]) by imf38bis.bellsouth.net (InterMail vM.5.01.04.25 201-253-122-122-125-20020815) with SMTP id <20030409121924.CDDI13659.imf38bis.bellsouth.net@Inspiron-8200>; Wed, 9 Apr 2003 08:19:24 -0400 Message-Id: <2.2.32.20030409121714.009e76c8 [at] pop [dot] louisiana.edu> X-Sender: rbk5287 [at] pop [dot] louisiana.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Wed, 09 Apr 2003 07:17:14 -0500 To: "M.V.Rama Rao" , reliable_computing [at] interval [dot] louisiana.edu, reliable_computing [at] interval [dot] usl.edu From: "R. Baker Kearfott" Subject: Re: Interval numbers in Structural Analysis Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Rama, This is one of the "classic" problems in interval analysis. An example of the phenomenon is: [-1,1] - [-1,1] = [-2,2]. Actually, [-2,2] is the EXACT range of {x - y, x in [-1,1] and y in [-1,1]} There is only overestimation if you really meant {x - x, x in [-1,1]}. This question is at the heart of many current research efforts. One way of reducing overestimation is to symbolically preprocess the expressions to reduce the number of redundant occurrences of each variable (for example, by factoring xy + xz into x(y+z) ). Another technique is to represent functions with bases in which overestimation is less, then to do arithmetic on the point coefficients of the functions, saving interval evaluation until last. That is one of the principles behind Taylor arithmetic. Best regards, R. Baker Kearfott P.S. reliable_computing [at] interval [dot] usl.edu no longer works. You should always use reliable_computing [at] interval [dot] louisiana.edu Our university changed its name from "University of Southwestern Louisiana" to "University of Louisiana", and the new web address reflects this. At 03:36 AM 4/9/2003 -0700, M.V.Rama Rao wrote: > >Dear Colleagues: >Here is a query related to interval numbers: >Suppose there are two interval numbers >[e,f] and [c,d] >if e = a+c and f = b+d , then >[e,f] = [a+c,b+d] >then [e,f] - [c,d] = [a+c,b+d] - [c,d] = [a+c-d, b+d-c] which is an overestimation >instead if i express [e,f] = [a,b]+[c,d] then I think >[e,f] - [c,d] = [a,b] + [c,d] - [c,d] = [a,b] + (1-1)[c,d] = [a,b] >similarly [a-d,b-c] + [c,d] = [a,b] -[c,d] +[c,d] = [a,b] +(-1+1)[c,d] = [a,b] >Is this approach correct. if so, how to implement it in a computer program? >I am facing the problem of overestimation , when several fuzzy interval loads are simultaneously acting on the structure, the overall interval displacement vector ( which is usually obtained by superposition of various load cases) is getting expanded. can some one help me regarding how to handle this problem? >Regards >M.V.Rama Rao > > > > > >M.V.Rama Rao >Senior Lecturer in Civil Engineering, >Vasavi College of Engineering,Hyderabad-31 INDIA >Phone : +91 (040)23532350 (R) +91(040)2359 0343 (R) >FAX +91(040)2352 5323 >e-mail ramu_mallela [at] yahoo [dot] com > > >--------------------------------- --------------------------------------------------------------- R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) (337) 482-5270 (work) (337) 981-9744 (home) URL: http://interval.louisiana.edu/kearfott.html Department of Mathematics, University of Louisiana at Lafayette Box 4-1010, Lafayette, LA 70504-1010, USA --------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Apr 9 08:18:25 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h39DIPE16419 for reliable_computing-outgoing; Wed, 9 Apr 2003 08:18:25 -0500 (CDT) Received: from gtrep.gatech.edu (hemispheres.gtrep.gatech.edu [168.20.168.31]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h39DIJH16415 for ; Wed, 9 Apr 2003 08:18:20 -0500 (CDT) Received: from rmuhannalptp (gtrep-dhcp-227.gtrep.gatech.edu [168.20.168.227]) by gtrep.gatech.edu (8.11.6/8.11.6) with SMTP id h39DHmg07152; Wed, 9 Apr 2003 09:17:48 -0400 Message-ID: <002b01c2fe9a$4970c0a0$e3a814a8@rmuhannalptp> From: "Rafi Muhanna" To: "M.V.Rama Rao" , , , "R. Baker Kearfott" References: <2.2.32.20030409121714.009e76c8 [at] pop [dot] louisiana.edu> Subject: Re: Interval numbers in Structural Analysis Date: Wed, 9 Apr 2003 09:16:52 -0400 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2720.3000 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2600.0000 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Rama, In addition to Dr. Kearfott's comments, I thing that your question is addressing the load dependency issue in the formulation of the Interval Finite Method. The overestimation that you are addressing is associated with dependency among loads, this issue is resolved by M-Matrix formulation introduced in our published paper "Bounds of Structural Response for all Possible Loading Combinations" in the ASCE journal of Structural Engineering, Vol. 125, 1, 1999. and you can download the paper from the following URL. http://www.gtrep.gatech.edu/~rmuhanna/ASCE_STRUCT.pdf Beast regards, Rafi Muhanna ________________________________________________ Rafi L. Muhanna Director, Center for Reliable Engineering Computing (REC) Department of Civil & Environmental Engineering Regional Engineering Program Georgia Institute of Technology 6001 Chatham Center Dr., Suite 350 Savannah, GA 31405 USA Email: rafi.muhanna [at] gtrep [dot] gatech.edu Phone: (912) 651-7547 Fax: (912) 651-7279 ----- Original Message ----- From: "R. Baker Kearfott" To: "M.V.Rama Rao" ; ; Sent: Wednesday, April 09, 2003 8:17 AM Subject: Re: Interval numbers in Structural Analysis > Rama, > > This is one of the "classic" problems in interval analysis. An example > of the phenomenon is: > > [-1,1] - [-1,1] = [-2,2]. > > Actually, [-2,2] is the EXACT range of > > {x - y, x in [-1,1] and y in [-1,1]} > > There is only overestimation if you really meant > > {x - x, x in [-1,1]}. > > This question is at the heart of many current research efforts. > > One way of reducing overestimation is to symbolically preprocess > the expressions to reduce the number of redundant occurrences > of each variable (for example, by factoring xy + xz into x(y+z) ). > Another technique is to represent functions with bases in which > overestimation is less, then to do arithmetic on the point coefficients > of the functions, saving interval evaluation until last. That is > one of the principles behind Taylor arithmetic. > > Best regards, > > R. Baker Kearfott > > > P.S. reliable_computing [at] interval [dot] usl.edu no longer works. You > should always use > reliable_computing [at] interval [dot] louisiana.edu > > Our university changed its name from > "University of Southwestern Louisiana" to > "University of Louisiana", > and the new web address reflects this. > > At 03:36 AM 4/9/2003 -0700, M.V.Rama Rao wrote: > > > >Dear Colleagues: > >Here is a query related to interval numbers: > >Suppose there are two interval numbers > >[e,f] and [c,d] > >if e = a+c and f = b+d , then > >[e,f] = [a+c,b+d] > >then [e,f] - [c,d] = [a+c,b+d] - [c,d] = [a+c-d, b+d-c] which is an > overestimation > >instead if i express [e,f] = [a,b]+[c,d] then I think > >[e,f] - [c,d] = [a,b] + [c,d] - [c,d] = [a,b] + (1-1)[c,d] = [a,b] > >similarly [a-d,b-c] + [c,d] = [a,b] -[c,d] +[c,d] = [a,b] +(-1+1)[c,d] = [a,b] > >Is this approach correct. if so, how to implement it in a computer program? > >I am facing the problem of overestimation , when several fuzzy interval > loads are simultaneously acting on the structure, the overall interval > displacement vector ( which is usually obtained by superposition of various > load cases) is getting expanded. can some one help me regarding how to > handle this problem? > >Regards > >M.V.Rama Rao > > > > > > > > > > > >M.V.Rama Rao > >Senior Lecturer in Civil Engineering, > >Vasavi College of Engineering,Hyderabad-31 INDIA > >Phone : +91 (040)23532350 (R) +91(040)2359 0343 (R) > >FAX +91(040)2352 5323 > >e-mail ramu_mallela [at] yahoo [dot] com > > > > > >--------------------------------- > > --------------------------------------------------------------- > R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) > (337) 482-5270 (work) (337) 981-9744 (home) > URL: http://interval.louisiana.edu/kearfott.html > Department of Mathematics, University of Louisiana at Lafayette > Box 4-1010, Lafayette, LA 70504-1010, USA > --------------------------------------------------------------- > From owner-reliable_computing [at] interval [dot] louisiana.edu Fri Apr 11 06:14:55 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h3BBEtH18707 for reliable_computing-outgoing; Fri, 11 Apr 2003 06:14:55 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h3BBEo318702 for reliable_computing [at] interval [dot] louisiana.edu; Fri, 11 Apr 2003 06:14:50 -0500 (CDT) Received: from lcyoung.math.wisc.edu (lcyoung.math.wisc.edu [144.92.166.90]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h3AMTdH17968 for ; Thu, 10 Apr 2003 17:29:40 -0500 (CDT) Received: from ultra10.math.wisc.edu (ultra10.math.wisc.edu [144.92.166.180]) by lcyoung.math.wisc.edu (8.11.6p2/8.11.6) with ESMTP id h3AMRWc01104; Thu, 10 Apr 2003 17:27:32 -0500 (CDT) Date: Thu, 10 Apr 2003 17:27:31 -0500 (CDT) From: Hans Schneider To: NETS -- at-net , E-LETTER , Pradeep Misra , Shaun Fallat , "na.digest" , ipnet-digest [at] math [dot] msu.edu, SIAGLA-DIGEST , wim@bell-labs.com, hjt [at] eos [dot] ncsu.edu, SMBnet [at] smb [dot] org, vkm [at] eedsp [dot] gatech.edu, reliable_computing [at] interval [dot] louisiana.edu Subject: LAA contents Message-ID: MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-MailScanner: Found to be clean Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Linear Algebra and its Applications Volume 365, Pages 1-467 (15 May 2003) Special Issue on Linear Algebra Methods in Representation Theory Edited by D. Happel, C.M. Ringel and J. Drozd TABLE OF CONTENTS Linear Algebra Methods in Representation Theory, Pages 1-2 Another algorithm for nonnegative matrices, Pages 3-12 Manfred J. Bauch Minimal singularities in orbit closures of matrix pencils, Pages 13-24 Jens Bender and Klaus Bongartz Symmetric quiver settings with a regular ring of invariants, Pages 25-43 Raf Bocklandt Linear operators on S-graded vector spaces, Pages 45-90 Vitalij M. Bondarenko On the kernel of an irreducible map, Pages 91-97 Sheila Brenner Irreducible maps and bilinear forms, Pages 99-105 Sheila Brenner, M. C. R. Butler and Alastair D. King On positive roots of pg-critical algebras, Pages 107-114 Thomas Brustle Estimate of the number of one-parameter families of modules over a tame algebra, Pages 115-133 Thomas Brustle and Vladimir V. Sergeichuk Periodic Coxeter matrices, Pages 135-142 Jose A. de la Pena On spectral radii of Coxeter transformations, Pages 143-153 Vlastimil Dlab and Piroska Lakatos On the dimension of faithful modules over finite dimensional basic algebras, Pages 155-157 M. Domokos Tame biextensions of derived tame hereditary algebras, Pages 159-167 Peter Draxler Hochschild cohomology of incidence algebras as one-point extensions, Pages 169-181 Maria Andrea Gatica and Maria Julia Redondo Monoidal structure of the category of u+q-modules, Pages 183-199 Elisabet Gunnlaugsdottir Regular points in system spaces, Pages 201-213 Yang Han and Mulan Liu Quivers, cones and polytopes, Pages 215-237 Lutz Hille Variation on a theme of Richardson, Pages 239-246 Lutz Hille and Gerhard Rohrle Algebraic computations in derived categories, Pages 247-266 Amrey Krause A short proof for Auslander's defect formula, Pages 267-270 Henning Krause Rings of invariants of 2 x 2 matrices in positive characteristic, Pages 271-278 S. G. Kuz'min and A. N. Zubkov Additive functions on quivers, Pages 279-289 Helmut Lenzing and Liane Hasenberg A note on applications of the 'Vector Enumerator' algorithm, Pages 291-300 Jurgen Muller >From elementary calculations to Hall polynomials, Pages 301-309 R. Norenberg Curves arising from Kronecker modules, Pages 311-348 F. Okoh and F. A. Zorzitto Strongly nilpotent matrices and Gelfand-Zetlin modules, Pages 349-367 Serge Ovsienko Cellular algebras and Cartan matrices, Pages 369-388 Changchang Xi and Dajing Xiang Tame equipped posets, Pages 389-465 Alexander Zavadskij Author Index, Page 467 Lists of Editors, Pages ii-iii From owner-reliable_computing [at] interval [dot] louisiana.edu Sun Apr 13 23:15:11 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h3E4FBN21712 for reliable_computing-outgoing; Sun, 13 Apr 2003 23:15:11 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h3E4F5H21708 for ; Sun, 13 Apr 2003 23:15:06 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.3/8.11.3) with SMTP id h3E1uGZ03342; Sun, 13 Apr 2003 19:56:18 -0600 (MDT) Message-Id: <200304140156.h3E1uGZ03342 [at] cs [dot] utep.edu> Date: Sun, 13 Apr 2003 19:56:15 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: from NA Digest To: reliable_computing [at] interval [dot] louisiana.edu Cc: vincent [at] sacksteder [dot] com MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: WFQ4pLV4JbFMdLWMWBc80Q== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Vincent, There is an additional aspect of why the results of scientific computations are sometimes unreliable: programmers and algorithm designers do not take into consideration that the input values come from measurements and are therefore known only with a certain accuracy, and that computer operations are not precise because of rounding. I am sending a copy of your message to NA Digest to the interval computations mailing list, many of our folks have accumulated results in which people do not take into considation and get wrong results, as well as cases when everything is done perfectly. Vladik From: Vincent Sacksteder Date: Tue, 8 Apr 2003 18:38:37 +0200 Subject: Looking for Data About the Reliability of Scientific Calculations Dear NA community: I am researching to what extent the numerical results published in the scientific literature can be regarded as reliable, and am writing you to ask for any data, experience, and opinions you have on this issue. I am currently pursueing a Ph.D. in physics after a career in computer science which focused on the reliability of distributed middleware used by large enterprises. In my new shoes as a physicist I am confused by the lack of discussion within the physics community about bugs and about ways of ensuring the reliability of published numerical results. It seems that while many physics articles use software to compute various results, perhaps few authors have implemented the most basic practices for ensuring its quality - whether planned and repeatable test suites, source code control, or publication of their code, scripts, and configuration files. (Even when an author uses lapack or mathematica which are themselves tested, the code, scripts, and configuration files written by the author may not be tested, archived, or published.) Moreover, there does not appear to be a structure for reporting bugs, documenting them, or discussing their prevention. It's not clear to me how much this is specific to the physics community, or instead diffused throughout the scientific community. Perhaps there are some mitigating factors which allow the physics community to do without these basic practices: perhaps it is more naturally self-correcting, through the mutual review of many colleagues. Or perhaps there is an alternative, informal set of practices which are passed along by word of mouth. Et cetera. Unfortunately, I have very little data, other than a documentable lack of discussion of these issues within the physics literature, and some individual conversations with my colleagues. If any of you has any additional data, opinions, or experience to share with me, I would really really appreciate it. Thank you, Vincent Sacksteder From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Apr 14 01:02:57 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h3E62vB21896 for reliable_computing-outgoing; Mon, 14 Apr 2003 01:02:57 -0500 (CDT) Received: from kathmandu.sun.com (kathmandu.sun.com [192.18.98.36]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h3E62oH21892 for ; Mon, 14 Apr 2003 01:02:50 -0500 (CDT) Received: from heliopolis.eng.sun.com ([152.70.28.21]) by kathmandu.sun.com (8.9.3p2+Sun/8.9.3) with ESMTP id AAA05059; Mon, 14 Apr 2003 00:02:37 -0600 (MDT) Received: from sun.com (vpn-129-150-17-158.SFBay.Sun.COM [129.150.17.158]) by heliopolis.eng.sun.com (8.11.6+Sun/8.11.6/ENSMAIL,v2.1p1) with ESMTP id h3E62UR13962; Sun, 13 Apr 2003 23:02:31 -0700 (PDT) Message-ID: <3E9A4CD2.79F15D4E [at] sun [dot] com> Date: Sun, 13 Apr 2003 22:53:22 -0700 From: Bill Walster X-Mailer: Mozilla 4.79 [en] (Win98; U) X-Accept-Language: en,ru MIME-Version: 1.0 To: vincent [at] sacksteder [dot] com CC: Vladik Kreinovich , reliable_computing [at] interval [dot] louisiana.edu Subject: Re: from NA Digest References: <200304140156.h3E1uGZ03342 [at] cs [dot] utep.edu> Content-Type: multipart/mixed; boundary="------------4E1A4AE0EDEDDED3DBAF60FC" Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk This is a multi-part message in MIME format. --------------4E1A4AE0EDEDDED3DBAF60FC Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Dear Vincent, Many of us in the interval research community believe that using interval arithmetic is the only practical way to address the questions you raise. Interestingly, the properties of computing with intervals make it possible to solve nonlinear problems that most people, who are unfamiliar with intervals, believe to be impossible to numerically solve. I hope that you will continue to pursue your quest to compute results that you and others can trust. Best regards, Bill Walster Vladik Kreinovich wrote: > Dear Vincent, > > There is an additional aspect of why the results of scientific computations are > sometimes unreliable: programmers and algorithm designers do not take into > consideration that the input values come from measurements and are therefore > known only with a certain accuracy, and that computer operations are not > precise because of rounding. I am sending a copy of your message to NA Digest > to the interval computations mailing list, many of our folks have accumulated > results in which people do not take into considation and get wrong results, as > well as cases when everything is done perfectly. > > Vladik > > From: Vincent Sacksteder > Date: Tue, 8 Apr 2003 18:38:37 +0200 > Subject: Looking for Data About the Reliability of Scientific Calculations > > Dear NA community: > > I am researching to what extent the numerical results published in the > scientific literature can be regarded as reliable, and am writing you to ask > for any data, experience, and opinions you have on this issue. I am > currently pursueing a Ph.D. in physics after a career in computer science > which focused on the reliability of distributed middleware used by large > enterprises. In my new shoes as a physicist I am confused by the lack of > discussion within the physics community about bugs and about ways of > ensuring the reliability of published numerical results. It seems that > while many physics articles use software to compute various results, perhaps > few authors have implemented the most basic practices for ensuring its > quality - whether planned and repeatable test suites, source code control, > or publication of their code, scripts, and configuration files. (Even when > an author uses lapack or mathematica which are themselves tested, the code, > scripts, and configuration files written by the author may not be tested, > archived, or published.) Moreover, there does not appear to be a structure > for reporting bugs, documenting them, or discussing their prevention. It's > not clear to me how much this is specific to the physics community, or > instead diffused throughout the scientific community. > > Perhaps there are some mitigating factors which allow the physics community > to do without these basic practices: perhaps it is more naturally > self-correcting, through the mutual review of many colleagues. Or perhaps > there is an alternative, informal set of practices which are passed along by > word of mouth. Et cetera. > > Unfortunately, I have very little data, other than a documentable lack of > discussion of these issues within the physics literature, and some > individual conversations with my colleagues. If any of you has any > additional data, opinions, or experience to share with me, I would really > really appreciate it. > > Thank you, > Vincent Sacksteder --------------4E1A4AE0EDEDDED3DBAF60FC Content-Type: application/pdf; name="ch01-excerpt.pdf" Content-Transfer-Encoding: base64 Content-Disposition: inline; filename="ch01-excerpt.pdf" JVBERi0xLjENCiXi48/TDQoyIDAgb2JqDQo8PA0KL0xlbmd0aCA0MzEwDQovRmlsdGVyIC9M WldEZWNvZGUNCj4+DQpzdHJlYW0NCoALyGUxiIDGcxBBYUIDmYwaCiEWBALyPBBAZ4QRSxDx iMxALY6IBsMRkIBuOZKcjLDzNDyEVIeLyMNISICpLQUMRuLhnNBgIJ/Op5NBiNRsLhrJZGNZ 4OI8VDbD5/U4ZDgULRgLhgMxiOJtVi2KCQKRiMRcNxQexSNLOKDMaDqczuKRbXJ2NBQaboMa zeDqcjhdBkOKYMxQXBgMhnZBcMRQShTip4KDfexnSBRKjJlbqMrNeClZByLrwc7Xk7mLRsKD ZexgKMCMhlbdbIMuNRQfTId9rHcwcjjdBmMJ3jixohcMhQdrpbNxvduKODbMMahSXSoSo5SB qN4LIOSNhtNCoRIfWK0M/VX4fYSZdBxjekKeHmNTO9waObbTqeRSGqmMczbhNkFwchQIiyJ2 tDgtmHAUQGkDcD45jVNYvbcQq0bcBfAjZwOKzIhdB40DM4AzuEGD4tWsbfLRFEHQvCQUPuzD erM3A5LovrpMQGQaOu7KONmGAbKBI6SK1IwZMSs6vQA+LiPIqKrqyGC+JKKiwLEFL4sMzjHD 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