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<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
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<body style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
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<div dir="auto" style="caret-color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<span class="Apple-style-span" style="border-collapse: separate; font-family: Helvetica; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-variant-east-asian: normal; font-variant-position: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; border-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-stroke-width: 0px;"><span class="Apple-style-span" style="border-collapse: separate; font-family: Helvetica; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-variant-east-asian: normal; font-variant-position: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; border-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-stroke-width: 0px;">
<div style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<span class="Apple-style-span" style="border-collapse: separate; font-family: Helvetica; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-variant-east-asian: normal; font-variant-position: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; border-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-stroke-width: 0px;">
<div style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">I’m
experienciing a sudden change in behavior in a writing project I have been working on, which prevents me from creating the final pdf file, and which I totally don’t understand (since the various parts have been working fine together for some time, until today).</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;"><br>
</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">Ther is a “master file” called SF6.tex which starts</div>
<div style="margin: 0px; font-size: 12px;">
<div style="color: rgb(0, 0, 0); margin: 0px;"><br>
</div>
<div style="margin: 0px;"><font color="#e32400">% !TEX TS-program = latex</font></div>
<div style="margin: 0px;"><font color="#0056d6">\documentclass{article} </font></div>
<div style="color: rgb(0, 0, 0);"><br>
</div>
</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">followed
by (many) \usepackage and \newcommand lines,</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">and
ends with </font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;"><br>
</font></div>
<div style="margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">
<div style="margin: 0px;"><font color="#0056d6"><br>
</font></div>
<div style="margin: 0px;"><font color="#0056d6">\begin{document}</font></div>
<div style="margin: 0px;"><font color="#0056d6"><br>
</font></div>
<div style="margin: 0px;"><font color="#0056d6"><br>
</font></div>
<div style="margin: 0px;"><font color="#0056d6">\title{The Space-Filling Curves of Peano and Hilbert:\\Digital Presentations,\\ Multigrids, and Gray Codes}</font></div>
<div style="margin: 0px;"><font color="#0056d6"><br>
</font></div>
<div style="margin: 0px;"><font color="#0056d6">\author{Zbigniew Nitecki\\</font></div>
<div style="margin: 0px;"><font color="#0056d6"> Tufts University\\</font></div>
<div style="margin: 0px;"><font color="#0056d6"> zbigniew.nitecki@tufts.edu} </font></div>
<div style="margin: 0px;"><font color="#0056d6"><br>
</font></div>
<div style="margin: 0px;"><font color="#0056d6">\maketitle</font></div>
<div style="margin: 0px;"><font color="#0056d6"><br>
</font></div>
<div style="margin: 0px;"><font color="#0056d6">\tableofcontents</font></div>
<div style="margin: 0px;"><font color="#0056d6"><br>
</font></div>
<div style="margin: 0px;"><font color="#0056d6">\input{SFC6-Intro}</font></div>
<div style="margin: 0px;"><font color="#0056d6">%\input{SFC6-Cantor}</font></div>
<div style="margin: 0px;"><font color="#0056d6">\input{SFC6-Peano}</font></div>
<div style="margin: 0px;"><font color="#0056d6">\input{SFC6-Hilbert}</font></div>
<div style="margin: 0px;"><font color="#0056d6">\input{SFC6-PeanoHilbert}</font></div>
<div style="margin: 0px;"><font color="#0056d6">\input{SFC6-HilbertEx}</font></div>
<div style="margin: 0px;"><font color="#0056d6">%\input{SFC5-HilbertExNew}</font></div>
<div style="margin: 0px;"><font color="#0056d6"><br>
</font></div>
<div style="margin: 0px;"><font color="#0056d6">\bibliography{Peano}</font></div>
<div style="margin: 0px;"><font color="#0056d6">\bibliographystyle{plain}</font></div>
<div style="margin: 0px;"><font color="#0056d6">%</font></div>
<div style="margin: 0px;"><font color="#0056d6"><br>
</font></div>
<div style="margin: 0px;"><font color="#0056d6">\end{document}</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px;"><br>
</div>
</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">The
individual files are all in the same folder as the master file.</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">Each
begins with</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;"><br>
</font></div>
<div style="margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">
<div style="margin: 0px;"><font color="#e32400">% !TEX root = SFC6.tex</font></div>
<div style="color: rgb(0, 0, 0);"><br>
</div>
</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">The
file Peano.bib is in my texmf file.</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;"><br>
</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">This setup has been working fine for a matter of many months at least, until today.</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">I was making some corrections/rewrites etc. using TeXShop and checking periodically for deadly tex typos by typesetting and making corrections</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">as demanded by the console. Generally, “go to error” gets me to the mundane typos like missing braces, or brackets instead of braces and so on. Once in a while, “go to error” sends me to the
master file, usually to the “begin document” line, and I have usually been able to work out what the problem was via some sort of ad hoc inverse engineering process. </div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">In such a case, I would generally abort and trash aux files and start over with the typesetting process.</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">But suddenly, I am getting errors in the Peano.bib file, specifically in the opening lines which are a set of abbreviations for journal titles. Nothing seems to make them go away: I thought I
had caught some missing braces in that list, but now the combination of</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">abort and trash aux files seems to do nothing. </div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">One suspicious observation is that when I look at the folder containing the various .tex and .aux (etc.) files, I am seeing multiple </div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">versions of SF6.pdf, SF6.aux, SF6.bbl and so on. I tried just dragging them into trash, but it doesn’t seem to help.</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">I’m also noticing that the errors that the console shows (which now seem to concern the bibliography) at places change upper case</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">text in the Peano.bib file to lower case—I don’t know why, and how that might be affecting stuff.</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><br>
</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">Here are the full list of abbreviations at the start of Peano.bib</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><br>
</div>
<div style="margin: 0px; font-size: 12px;">
<div style="margin: 0px;"><font color="#4f7a28">@string{Acta<span class="Apple-tab-span" style="white-space: pre;">
</span>={Acta Mathematica}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{AdvM<span class="Apple-tab-span" style="white-space:pre">
</span>={Advances in Mathematics}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{AmJMath<span class="Apple-tab-span" style="white-space:pre">
</span>={American Journal of Mathematics}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{AMMonth<span class="Apple-tab-span" style="white-space:pre">
</span>={American Mathematical Monthly}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{AnnMatPA<span class="Apple-tab-span" style="white-space:pre">
</span>={Annali die Matematica Pura ed Applicata}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{ArchfMP<span class="Apple-tab-span" style="white-space:pre">
</span>={Archiv f{\"u}r Mathematik und Physik}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{ArcHExSci<span class="Apple-tab-span" style="white-space:pre">
</span>={Archive for the History of the Exact Sciences}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28"> @string{BSTJ<span class="Apple-tab-span" style="white-space:pre">
</span>={Bell System Technical Journal}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{BSM<span class="Apple-tab-span" style="white-space:pre">
</span>={Bulletin des sciences math{\'e}matiques}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{CRAS<span class="Apple-tab-span" style="white-space:pre">
</span>={Comptes rendus hebdomadaires des s{\'e}ances de l'Acad{\'e}mie des Sciences, Paris}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{EdM<span class="Apple-tab-span" style="white-space:pre">
</span>={Elemente der Mathematik}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{HistMath<span class="Apple-tab-span" style="white-space:pre">
</span>={Historia Mathematica}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{JDMV<span class="Apple-tab-span" style="white-space:pre">
</span>={Jahresbericht der Deutschen Mathematiker-Vereinigung}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{JMpa<span class="Apple-tab-span" style="white-space:pre">
</span>={Journal de Math{\'e}matiques Pures et Appliqu{\'e}es}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{JraM<span class="Apple-tab-span" style="white-space:pre">
</span>={Journal f{\"u}r die reine und angewandte Mathematik}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{MathAnn<span class="Apple-tab-span" style="white-space:pre">
</span>={Mathematische Annalen}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{MathGaz<span class="Apple-tab-span" style="white-space:pre">
</span>={The Mathematical Gazette}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{MathMag<span class="Apple-tab-span" style="white-space:pre">
</span>={Mathematics Magazine}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{RendPalermo={Rendiconti del Circolo Matematico di Palermo}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{SiamRev=<span class="Apple-tab-span" style="white-space:pre">
</span>={SIAM Review}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{SciAm=<span class="Apple-tab-span" style="white-space:pre">
</span>={Scientific American}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{SPE<span class="Apple-tab-span" style="white-space:pre">
</span>={Software: Practice and Experience}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@string{TAMS<span class="Apple-tab-span" style="white-space:pre">
</span>={Transactions of the American Mathematical Society}}</font></div>
<div style="margin: 0px;"><font color="#4f7a28"><br>
</font></div>
<div style="margin: 0px;"><font color="#4f7a28"><br>
</font></div>
<div style="margin: 0px;"><font color="#4f7a28"><br>
</font></div>
<div style="margin: 0px;"><font color="#4f7a28">@article{Abel-Mark:1990,</font></div>
<div style="margin: 0px;"><font color="#4f7a28">author={D. Abel and D. Mark},</font></div>
<div style="margin: 0px;"><font color="#4f7a28">title={A comparative analysis of some two-dimensional orderings},</font></div>
<div style="margin: 0px;"><font color="#4f7a28">journal={Int. J. Geograph. Inform. Syst.},</font></div>
<div style="margin: 0px;"><font color="#4f7a28">volute={4},</font></div>
<div style="margin: 0px;"><font color="#4f7a28">year={1990},</font></div>
<div style="margin: 0px;"><font color="#4f7a28">pages={21-31}</font></div>
<div style="margin: 0px;"><font color="#4f7a28">}</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px;"><br>
</div>
</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;">and her is the console file:</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><br>
</div>
<div style="margin: 0px; font-size: 12px;">
<div style="margin: 0px;"><font color="#9929bd">This is BibTeX, Version 0.99d (TeX Live 2017)</font></div>
<div style="margin: 0px;"><font color="#9929bd">The top-level auxiliary file: SFC6.aux</font></div>
<div style="margin: 0px;"><font color="#9929bd">The style file: plain.bst</font></div>
<div style="margin: 0px;"><font color="#9929bd">Database file #1: Peano.bib</font></div>
<div style="margin: 0px;"><font color="#9929bd">You're missing a field part---line 20 of file Peano.bib</font></div>
<div style="margin: 0px;"><font color="#9929bd"> : @string{siamrev= </font></div>
<div style="margin: 0px;"><font color="#9929bd"> : ={SIAM Review}}</font></div>
<div style="margin: 0px;"><font color="#9929bd">I'm skipping whatever remains of this command</font></div>
<div style="margin: 0px;"><font color="#9929bd">You're missing a field part---line 21 of file Peano.bib</font></div>
<div style="margin: 0px;"><font color="#9929bd"> : @string{sciam= </font></div>
<div style="margin: 0px;"><font color="#9929bd"> : ={Scientific American}}</font></div>
<div style="margin: 0px;"><font color="#9929bd">I'm skipping whatever remains of this command</font></div>
<div style="margin: 0px;"><font color="#9929bd">You're missing a field part---line 574 of file Peano.bib</font></div>
<div style="margin: 0px;"><font color="#9929bd"> : issue=</font></div>
<div style="margin: 0px;"><font color="#9929bd"> : (4),</font></div>
<div style="margin: 0px;"><font color="#9929bd">I'm skipping whatever remains of this entry</font></div>
<div style="margin: 0px;"><font color="#9929bd">You're missing a field name---line 597 of file Peano.bib</font></div>
<div style="margin: 0px;"><font color="#9929bd"> : </font></div>
<div style="margin: 0px;"><font color="#9929bd"> : {pages=449-469}</font></div>
<div style="margin: 0px;"><font color="#9929bd">(Error may have been on previous line)</font></div>
<div style="margin: 0px;"><font color="#9929bd">I'm skipping whatever remains of this entry</font></div>
<div style="margin: 0px;"><font color="#9929bd">I was expecting a `,' or a `}'---line 666 of file Peano.bib</font></div>
<div style="margin: 0px;"><font color="#9929bd"> : </font></div>
<div style="margin: 0px;"><font color="#9929bd"> : @article{Hutchinson:1981,</font></div>
<div style="margin: 0px;"><font color="#9929bd">(Error may have been on previous line)</font></div>
<div style="margin: 0px;"><font color="#9929bd">I'm skipping whatever remains of this entry</font></div>
<div style="margin: 0px;"><font color="#9929bd">I was expecting a `,' or a `}'---line 878 of file Peano.bib</font></div>
<div style="margin: 0px;"><font color="#9929bd"> : </font></div>
<div style="margin: 0px;"><font color="#9929bd"> : title={Gray-Codes}</font></div>
<div style="margin: 0px;"><font color="#9929bd">(Error may have been on previous line)</font></div>
<div style="margin: 0px;"><font color="#9929bd">I'm skipping whatever remains of this entry</font></div>
<div style="margin: 0px;"><font color="#9929bd">I was expecting a `,' or a `}'---line 1147 of file Peano.bib</font></div>
<div style="margin: 0px;"><font color="#9929bd"> : </font></div>
<div style="margin: 0px;"><font color="#9929bd"> : note={This is a follow-up to \cite{Schoenflies:1900}.}</font></div>
<div style="margin: 0px;"><font color="#9929bd">(Error may have been on previous line)</font></div>
<div style="margin: 0px;"><font color="#9929bd">I'm skipping whatever remains of this entry</font></div>
<div style="margin: 0px;"><font color="#9929bd">Illegal end of database file---line 1422 of file Peano.bib</font></div>
<div style="margin: 0px;"><font color="#9929bd"> : </font></div>
<div style="margin: 0px;"><font color="#9929bd"> :</font></div>
<div style="margin: 0px;"><font color="#9929bd"><br>
</font></div>
<div style="margin: 0px;">(Note how SiamRev becomes siamrev in the first error message)</div>
<div style="margin: 0px;"><br>
</div>
<div style="margin: 0px;"><font color="#b51a00">HELP!!!</font> :-(</div>
<div style="margin: 0px;"><br>
</div>
<div style="margin: 0px;">Any advice about how to go about debugging would be very much appreciated. </div>
<div style="margin: 0px;"> At the moment my mundane proofreading and rewriting has come to a full stop until I can start typesetting again.</div>
<div style="margin: 0px;"><br>
</div>
<div style="margin: 0px;">BTW I am using TeXShop version 5.47, via Ventura 13.7.6 on a vintage 2017 MacBook Pro.</div>
<div style="margin: 0px;"><br>
</div>
<div style="margin: 0px;"><span style="-webkit-text-decorations-in-effect: none;">Zbigniew Nitecki</span></div>
</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">Professor
Emeritus</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">Department
of Mathematics</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">Tufts
University</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">Medford,
MA 02155</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; line-height: normal; font-family: Helvetica; min-height: 14px; font-size: 12px;">
<br>
</div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">telephones:</font></div>
<div style="color: rgb(0, 0, 0); margin: 0px; font-size: 12px;"><font face="Helvetica" size="3" style="font-style: normal; font-variant-caps: normal; font-weight: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: Helvetica;">Dept.<span class="Apple-converted-tab">
</span>(617)627-3234</font></div>
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fax<span class="Apple-converted-tab"> </span>(617)627-3966</font></div>
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