PDF presentations using the Marslide package

in te re s t in s e v e ra l fi e ld s , e s p e c ia ll y in g e o p h y s ic s , w h e re s u c h e x p e ri m e n ts a re u s e d to s tu d y h ig h p re s s u re b e h a v io r o f e a rt h m a te ri a ls . Im p a c ts g e n e ra te d in th e s e e x p e ri m e n ts s o m e ti m e s in d u c e p h a s e c h a n g e s . T h is ta lk d e s c ri b e s th e a p p li c a ti o n to im p a c tin d u c e d p h a s e tr a n s it io n s o f re c e n tl y d e v e lo p e d c o n ti n u u m m e c h a n ic a l m o d e ls o f th e m a c ro s c o p ic b e h a v io r o f p h a s e -c h a n g in g s o li d s . T h e ro le o f tr a n s it io n k in e ti c s in d e te rm in in g th e m a te ri a l re s p o n s e is e x p lo re d , a n d th e ta s k o f in fe rr in g s u c h k in e ti c s fr o m e x p e ri m e n ta l re s u lt s is b ri e fl y d is c u s s e d . 2 0 M in iS y m p o s ia M S P 0 5 9 – 0 6 2 O n th e re la ti o n s h ip b e tw e e n th e C o s s e ra t a n d K ir c h h o ff -L o v e th e o ri e s o f e la s ti c s h e ll s D S te ig m a n n U n iv e rs it y o f C a li fo rn ia , B e rk e le y , U S A s te ig m a n @ e u le r. b e rk e le y .e d u A b s t r a c t . W e c la ri fy th e re la ti o n s h ip o f th e K ir c h h o ff -L o v e th e o ry o f e la s ti c s h e ll s to th e m o re g e n e ra l C o s s e ra t th e o ry o f d e fo rm a b le s u rf a c e s w it h a s in g le d ir e c to r. T h e la tt e r h a s a s it s k in e m a tic a l b a s is tw o v e c to r fi e ld s d e fi n e d o n th e s u rf a c e , o n e th a t d e fi n e s th e p a rt ic le p o s it io n , a n d th e o th e r, th e d ir e c to r, th a t is in te n d e d to a c c o u n t fo r fi n it e -t h ic k n e s s e ff e c ts . S p e c ifi c a ll y , w e o b ta in th e K ir c h h o ff -L o v e th e o ry b y im p o s in g c o n s tr a in ts o n th e d ir e c to r fi e ld a n d d e ri v in g th e g e n e ra l fo rm s o f th e a s s o c ia te d re s p o n s e fu n c ti o n s th ro u g h a c a re fu l a p p li c a ti o n o f th e ri g o ro u s L a g ra n g e m u lt ip li e r ru le . A lt h o u g h th is ru le is s ta n d a rd , th e c o n s tr a in ts c o n s id e re d a re o f a n u n u s u a l ty p e a n d th e d e v e lo p m e n t th u s in c lu d e s m o re d e ta il th a n o n e u s u a ll y fi n d s in th e li te ra tu re o n c o n s tr a in e d e la s ti c it y . In N a g h d i’ s tr e a tm e n t o f th e s u b je c t th e K ir c h h o ff -L o v e th e o ry is n o t d e ri v e d fr o m th e C o s s e ra t th e o ry b u t in s te a d is c o n s id e re d s e p a ra te ly o n th e b a s is o f d is ti n c t b a la n c e a n d in v a ri a n c e p o s tu la te s . T h is c o n tr a s ts w it h o u r v ie w th a t th e C o s s e ra t th e o ry s h o u ld re d u c e to th e K ir c h h o ff -L o v e th e o ry u p o n th e in tr o d u c ti o n o f a p p ro p ri a te c o n s tr a in ts . T h e re a re a d d it io n a l d iff e re n c e s b e tw e e n N a g h d i’ s tr e a tm e n t a n d o u rs . F o r e x a m p le , h is re li e s o n th e m o m e n to fm o m e n tu m 2 1 M in iS y m p o s ia M S P 0 5 9 – 0 6 2 “M a th e m a ti c a l M e th o d s in S o li d M e c h a n ic s ” C h a ir s : Ju li u s D K a p lu n o v a n d F re d e ri c Y M W a n S u b je c t A re a s : 1 7 . S o li d M e c h a n ic s 7 . A s y m p to ti c s 2 4 . M a th e m a ti c s in In d u s tr y , M o d e ll in g o f In d u s tr ia l P ro c e s s e s S u m m a ry : T h e m in is y m p o s iu m is d e d ic a te d to a n o u ts ta n d in g s c ie n ti s t in th e fi e ld o f m e c h a n ic s a n d a p p li e d m a th e m a ti c s P ro fe s s o r E ri c R e is s n e r (1 9 1 3 -1 9 9 6 ). A m o n g p a rt ic ip a n ts th e re a re h is fr ie n d s , s tu d e n ts a n d c o ll e a g u e s . T h e m a jo ri ty o f p re s e n ta ti o n s a re c o n c e rn e d w it h th e th e o ry o f s h e ll s a n d p la te s a n d re la te d to p ic s . R e c e n t a d v a n c e s in n o n -l in e a r w a v e p ro p a g a ti o n , c o m p u ta ti o n m e c h a n ic s , a n a ly s is o f s in g u la ri ti e s a n d th e th e o ry o f p h a s e c h a n g e s in s o li d s a re a ls o d is c u s s e d . M in iS y m p o s ia M S P 0 5 9 – 0 6 2 S p e a k e rs : H o lm A lt e n b a c h : (M a rt in -L u th e rU n iv e rs it ä t H a ll e -W it te n b e rg , H a ll e , G e rm a n y ) “O n d iff e re n t a p p ro a ch e s to th e d e te rm in a ti o n o f th e tr a n sv e rs e sh e a r st iff n e ss in th e p la te th e o ry ” R D o u g la s G re g o ry : (D e p t. o f M a th e m a ti c s , U n iv e rs it y o f M a n c h e s te r, U K ) “A th ic k h o ll o w sp h e re co m p re ss e d b y e q u a l a n d o p p o si te co n ce n tr a te d lo a d s; A n a sy m p to ti c so lu ti o n ” Ju li u s D K a p lu n o v : (I n s ti tu te fo r P ro b le m s in M e c h a n ic s , R u s s ia n A c a d e m y o f S c ie n c e s , R u s s ia ) “E d g e a n d in te rf a ci a l v ib ra ti o n s o f sh e ll s a n d p la te s” R e in h o ld K ie n z le r: (U n iv e rs it y o f B re m e n , D e p a rt m e n t o f P ro d u c ti o n E n g in e e ri n g , G e rm a n y ) “O n co n si st e n t h ig h e ro rd e r p la te a n d sh e ll th e o ri e s” L e o n id Y u K o s s o v ic h : (S a ra to v S ta te U n iv e rs it y , R u s s ia ) “F le x u ra l tr a n si e n t w a v e s in sh e ll s o f re v o lu ti o n : A n a sy m p to ti c a p p ro a ch ” K h a n h C h a u L e : (L e h rs tu h l fu e r A ll g e m e in e M e c h a n ik , R u h rU n iv e rs it a e t B o c h u m , G e rm a n y ) “H ig h -f re q u e n cy v ib ra ti o n s o f sh e ll s a n d ro d s: V a ri a ti o n a la sy m p to ti c a p p ro a ch ” Ja m e s G S im m o n d s : (U n iv . o f V ir g in ia , C h a rl o tt e s v il le , U S A ) “C o m p u ti n g e x a ct , e la st o d y n a m ic li n e a r th re e -d im e n si o n a l so lu ti o n s fo r p la te s fr o m cl a ss ic a l tw o d im e n si o n a l so lu ti o n s” A n th o n y J M S p e n c e r: (U n iv e rs it y o f N o tt in g h a m , U K ) “E x a ct so lu ti o n s fo r in h o m o g e n e o u s th ic k e la st ic p la te s” F re d e ri c Y M W a n : (U n iv e rs it y o f C a li fo rn ia a t Ir v in e , U S A ) “T h e o u te r a sy m p to ti c e x p a n si o n so lu ti o n w it h o u t m a tc h in g ” C o rn e li u s O H o rg a n : (U n iv e rs it y o f V ir g in ia , U S A ) “A n is o tr o p y in d u ce d si n g u la ri ti e s in li n e a r e la st ic it y ” 2 M in iS y m p o s ia M S P 0 5 9 – 0 6 2 S h o c k -i n d u c e d p h a s e c h a n g e s in s o li d s Ja m e s K K n o w le s C a li fo rn ia In s ti tu te o f T e c h n o lo g y , U S A k n o w le s @ c a lt e c h .e d u A b s t r a c t . E x p e ri m e n ts in v o lv in g h ig h -v e lo c it y im p a c t o n m e ta ll ic o r c e ra m ic s p e c im e n s a re o f in te re s t in s e v e ra l fi e ld s , e s p e c ia ll y in g e o p h y s ic s , w h e re s u c h e x p e ri m e n ts a re u s e d to s tu d y h ig h p re s s u re b e h a v io r o f e a rt h m a te ri a ls . Im p a c ts g e n e ra te d in th e s e e x p e ri m e n ts s o m e ti m e s in d u c e p h a s e c h a n g e s . T h is ta lk d e s c ri b e s th e a p p li c a ti o n to im p a c tin d u c e d p h a s e tr a n s it io n s o f re c e n tl y d e v e lo p e d c o n ti n u u m m e c h a n ic a l m o d e ls o f th e m a c ro s c o p ic b e h a v io r o f p h a s e -c h a n g in g s o li d s . T h e ro le o f tr a n s it io n k in e ti c s in d e te rm in in g th e m a te ri a l re s p o n s e is e x p lo re d , a n d th e ta s k o f in fe rr in g s u c h k in e ti c s fr o m e x p e ri m e n ta l re s u lt s is b ri e fl y d is c u s s e d . 2 0 M in iS y m p o s ia M S P 0 5 9 – 0 6 2 O n th e re la ti o n s h ip b e tw e e n th e C o s s e ra t a n d K ir c h h o ff -L o v e th e o ri e s o f e la s ti c s h e ll s D S te ig m a n n U n iv e rs it y o f C a li fo rn ia , B e rk e le y , U S A s te ig m a n @ e u le r. b e rk e le y .e d u A b s t r a c t . W e c la ri fy th e re la ti o n s h ip o f th e K ir c h h o ff -L o v e th e o ry o f e la s ti c s h e ll s to th e m o re g e n e ra l C o s s e ra t th e o ry o f d e fo rm a b le s u rf a c e s w it h a s in g le d ir e c to r. T h e la tt e r h a s a s it s k in e m a tic a l b a s is tw o v e c to r fi e ld s d e fi n e d o n th e s u rf a c e , o n e th a t d e fi n e s th e p a rt ic le p o s it io n , a n d th e o th e r, th e d ir e c to r, th a t is in te n d e d to a c c o u n t fo r fi n it e -t h ic k n e s s e ff e c ts . S p e c ifi c a ll y , w e o b ta in th e K ir c h h o ff -L o v e th e o ry b y im p o s in g c o n s tr a in ts o n th e d ir e c to r fi e ld a n d d e ri v in g th e g e n e ra l fo rm s o f th e a s s o c ia te d re s p o n s e fu n c ti o n s th ro u g h a c a re fu l a p p li c a ti o n o f th e ri g o ro u s L a g ra n g e m u lt ip li e r ru le . A lt h o u g h th is ru le is s ta n d a rd , th e c o n s tr a in ts c o n s id e re d a re o f a n u n u s u a l ty p e a n d th e d e v e lo p m e n t th u s in c lu d e s m o re d e ta il th a n o n e u s u a ll y fi n d s in th e li te ra tu re o n c o n s tr a in e d e la s ti c it y . In N a g h d i’ s tr e a tm e n t o f th e s u b je c t th e K ir c h h o ff -L o v e th e o ry is n o t d e ri v e d fr o m th e C o s s e ra t th e o ry b u t in s te a d is c o n s id e re d s e p a ra te ly o n th e b a s is o f d is ti n c t b a la n c e a n d in v a ri a n c e p o s tu la te s . T h is c o n tr a s ts w it h o u r v ie w th a t th e C o s s e ra t th e o ry s h o u ld re d u c e to th e K ir c h h o ff -L o v e th e o ry u p o n th e in tr o d u c ti o n o f a p p ro p ri a te c o n s tr a in ts . T h e re a re a d d it io n a l d iff e re n c e s b e tw e e n N a g h d i’ s tr e a tm e n t a n d o u rs . F o r e x a m p le , h is re li e s o n th e m o m e n to fm o m e n tu m 2 1 Figure 6: Introductory slides for a congress mini-symposium, with speaker listing and abstracts of all the talks. TUGboat, Volume 22 (2001), No. 3—Proceedings of the 2001 Annual Meeting 157 Wendy McKay and Ross Moore M A T H 2 3 7 — D is c re te M a th e m a ti c s D iv is io n & F a c to ri z a ti o n M –S tr a n d , L e c tu re 2 D iv is io n o f In te g e rs In th is s e c ti o n w e w o rk w it h th e s e t o f in te g e rs Z = { .. ., − 2 ,− 1 ,0 ,1 ,2 ,3 ,. .. } W it h a d d it io n a n d s u b tr a c ti o n , fo r a n y a ,b ∈ Z it is tr u e th a t th e n u m b e rs − a , − b , a + b a n d a − b a ll re m a in in Z . F o r m u lt ip li c a ti o n , a b ∈ Z , b u t 1 a a n d 1 b a re n o t e le m e n ts o f Z . N e v e rt h e le s s , s o m e q u o ti e n ts a b d o g iv e n u m b e rs in Z . W e w a n t to s tu d y th is m o re c lo s e ly . D e fi n it io n . S u p p o se th a t a ,b ∈ Z a n d a ≠ 0 . T h e n w e sa y th a t a d iv id e s b , d e n o te d a ∣ ∣ b , if th e re e x is ts c ∈ Z su ch th a t b = a c . W e a ls o sa y th a t a is a d iv is o r o f b , o r th a t b is a m u lt ip le o f a . 2 D iv is io n o f In te g e rs H e re a re s o m e s im p le e x a m p le s a n d p ro p e rt ie s o f ‘d iv id e s ’ a s d e fi n e d in th is w a y . E x a m p le s : W e h a v e 2 ∣ ∣ 6 , a n d 1 3 ∣ ∣ 7 8 , a n d 2 5 ∣ ∣ 1 2 5 , a n d 7 ∣ ∣ 2 8 , e tc . R e fl e x iv it y : F o r e v e ry a ∈ Z \ { 0 } , w e h a v e a ∣ ∣ a a n d a ∣ ∣ − a . U n it s : F o r e v e ry a ∈ Z \ { 0 } , w e h a v e 1 ∣ ∣ a a n d − 1 ∣ ∣ a . Z e ro D iv is o rs : If a b = 0 th e n e it h e r a = 0 o r b = 0 . T ra n s it iv it y : If a ,b ,c ∈ Z \ { 0 } s a ti s fy a ∣ ∣ b a n d b ∣ ∣ c , th e n a ∣ ∣ c . T o s e e th is , n o te th a t a ∣ ∣ b a n d b ∣ ∣ c m e a n s th a t th e re m u s t b e in te g e rs m ,n ∈ Z s u c h th a t b = a m a n d c = b n ; s o th a t c = (a m )n = a (m n ). C le a rl y m n ∈ Z . 3 D iv is io n o f In te g e rs A s li g h tl y m o re c o m p li c a te d p ro p e rt y is : In te g e r L in e a r C o m b in a ti o n : If a ,b ,c ∈ Z s a ti s fy a ∣ ∣ b a n d a ∣ ∣ c , th e n fo r e v e ry x ,y ∈ Z w e h a v e a ∣ ∣ (b x + c y ) . T o s e e th is , n o te th a t a ∣ ∣ b a n d a ∣ ∣ c m e a n s th a t th e re a re in te g e rs m ,n ∈ Z s u c h th a t b = a m a n d c = a n . N o w b x + c y = (a m )x + (a n )y = a (m x + n y ) a n d m n ∈ Z . A u s e fu l c o n s e q u e n c e o f th is is th e R u le o f “2 o u t o f 3 ”: S u p p o s e x ,y ,z ∈ Z a re s u c h th a t x + y = z , a n d th e re is a ∈ N w h ic h d iv id e s tw o o f x ,y ,z ; th e n a d iv id e s a ll th re e o f x ,y ,z . P ro o f. S in c e z = x + y = 1 × x + 1 × y , th e n x = z − y = 1 × z + (− 1 ) × y a n d y = z − x = 1 × z + (− 1 ) × x . S o w h ic h e v e r a re th e tw o k n o w n m u lt ip le s o f a , th e n th e th ir d c a n b e w ri tt e n a s a n in te g e r li n e a r c o m b in a ti o n o f th e s e . H e n c e th e th ir d is a ls o a m u lt ip le o f a . 4 Figure 7: Lecture slides for use in mathematics teaching.158TUGboat, Volume 22 (2001), No. 3—Proceedings of the 2001 Annual Meeting PDF presentations using the Marslide package• colors: RGB-codes, color-names and color com-mands;• font-sizes, ligatures and accents;• colored banners: in the header, or part of thebody-text;• dingbats: different shapes and sizes, open orsolid;• graphics: imported using \includegraphics;• hyperlinks: for cross-references, citations, etc.There are some newer features which are not yetdocumented there. These include:• using a background image on every page, orseveral images on select pages;• removing the banner in the header, for a largertext-body;• generation of PDF bookmarks to document sec-tions, or pages where the banner text changes;• macros to insert hyperlinks to external moviefiles, with a poster-picture as the hyperlinkbutton to start the movie;• set a margin to avoid the edges of the paper thatcannot be printed, but which does not showwhen the PDF slides are viewed in a browser.More examplesFigure 6 shows a document style that could be usedeffectively at a large conference or congress. Thisdocument presents the speakers and abstracts forjust one lecture session or mini-symposium on a spe-cialised topic. Typically there’ll be many of these,distributed together on CD-ROM, with speaker andsubject indexes for the whole congress.Figure 7 shows lecture slides that one authorhas used when teaching a mathematics course. Suchdocuments are available to students from a web-site,so that they can review the lecture presentation. Asthere are typically many incremental page-builds,these documents are not suitable for printing aslecture notes. Instead, a 4-up version is providedof the fully-built pages, as are presented here in thisproceedings volume.Elsewhere in this volume are other papers bythe same author(s) [9, 10]. These include furtherexamples of the use of Marslide.References[1] Adobe Systems Inc.; Acrobat Reader, viewerfor PDF format [2] documents, available free ofcharge from http://www.adobe.com/.[2] Adobe Systems Inc.; “Portable Document For-mat, Reference Manual, Version 1.3”; March11, 1999.[3] Adobe Systems Inc.; “pdfmark Reference Man-ual”; Technical Note #5150; Adobe DeveloperRelations; Revised: March 4, 1999.[4] CalTEXTalk #1, June 1998: “Automatic Gen-eration of Web-sites using LATEX2HTML”; on-line abstract: http://www.cds.caltech.edu/caltex/1998/.[5] CalTEXTalk #2, July 1999: “TEX is Aliveand Well for Web-based Presentation of Mathe-matics”; abstract: http://www.cds.caltech.edu/caltex/1999/.[6] CalTEXTalk #3, May 2000: “High QualityElectronic Presentation of Mathematics; UsingPDF, TEX/LATEX, and More”; abstract: http://www.cds.caltech.edu/caltex/2000/.[7] CalTEXTalk #4, August 2001: “Advanceduses of pdfLATEX”; abstract: http://www.cds.caltech.edu/caltex/2001/.[8] Hàn, Thé̂ Thành; pdfTEX, free software forgenerating documents in PDF format, basedon the TEX typesetting system. Available forall computing platforms; see http://www.tug.org/applications/pdftex/.[9] McKay, Wendy and Moore, Ross and Ruark,Tom; “Adobe plugin for WARMreader” TEXUsers Group 2001 Proceedings, (elsewhere inthis volume).[10] Moore, Ross and Griffin, Frances; “MacQTEX:Online self-marking Quizzes, using pdfTEX andexerquiz” TEX Users Group 2001 Proceedings,(elsewhere in this volume).TUGboat, Volume 22 (2001), No. 3—Proceedings of the 2001 Annual Meeting159