Index

“Kindly look her up in my index, Doctor,” murmured Holmes without opening his eyes. — ARTHUR CONAN DOYLE, A Scandal in Bohemia (1891)

A suffix “t” after a page number denotes a table, “f” a figure, “n” a footnote, and “q” a quotation at the opening of a chapter. Aspects of TEX are indexed under LATEX. Definitions of technical terms can be found in the glossary.

a or an, 30 an or a, 30 a or the, 24, 76–77 analog tools, 3 abbreviations, 30–32 and, comma before final, 53–54 abstract, 99–101 antonyms, 69 citing references in, 100 apostrophes, 50–51 generic, 101 appendices, 117 mathematics in, 100 article processing charge (APC), publication peculiarities, 102 199, 211 structured, 101 articles (the, a, an), 24, 30, 76–77 acknowledgments, 115 arXiv repository, 202 acronyms, 30, 32 preprints active voice, 32–33 BibTEX entries for, 179 adjectives, 34 reference format, 121 absolute, 32 asides, see also publication Adobe Acrobat, 147, 208, 311 peculiarities adverbs, 33–34 brief history of scholarly affect versus effect, 38 publishing, 215 -age words, 34–35 glossary for mathematical -al words, 34–35 writing, 21 algorithms, typesetting of, 168 oral examination procedure, alphabet 262 choosing notation from, 11 Oxford commas, 54 Greek, 297 spotlight factor, 98 alternate versus alternative, 38 ten commandments of good altmetrics, 295 writing, 61

341 342 Index aspell, 191 book, 263–273 AucTEX (Emacs package), 184, 270 audience, 265 audience, analyzing, 90–91, 225 captions for table of contents, author list 271 order of, 96–99 coauthorship, 265–266 publication peculiarities, 96–98 copy editing, 269 spotlight factor, 98 date for reference list, 119 autocompletion, in text editors, 185 exercises, 266 automation, in text editors, 185 file arrangement, 270 AWK, 177 fine-tuning, 272 headers, 271 indexing, 269 backups, 189 LAT X, use of, 270–272 bastard enumeration, 46 E preface, 267 Beamer (LAT X class), 230–235 E proposal, 267–269 because of, 39 reviewing, 221–222 bibclean, 177 publisher, choice of, 268–269 biber, 180 review writing, 222 bibexport, 177 source code, final changes to, bibextract, 177 271–272 bibliography, see B T X; ib E why to write, 264–265 references both, 47 BibNet, 176, 177 brackets, in expressions, 26 BibTEX, 173–180 abbreviations, 178 calligraphic font, 152 annotated bibliographies, 176 capitalization, 35, 122 bibliography style, 174 of titles, 95 BibNet, 176, 177 of words after colon, 35 capitals, protecting, 178 CC-BY licenses, 212 t Collection of Computer cf., 31 Science Bibliographies, chemical formulas, typing in LATEX, 176 171 databases, maintaining, 177 citation indexing, 294–295 DOI field, 178 citing the references, 112–114 entries, examples of, 179–180 by name and year, 112 keys, choosing, 177–178 by number, 112 month field abbreviations, 178 Harvard system, 112, 114 URL field, 178 including author’s name, 113 blackboard bold font, 152, 172 placement of, 112 blog posts, 287–291 signposting, 113 BibTEX entries for, 180 Vancouver system, 112 graphics, importance of, 290 Collection of Computer Science reference format, 121 Bibliographies, 176 reposting, 288 collocations, 75 software for writing, 290 colon topic, choice of, 288–289 capitalizing words after, 35 Index 343 colon (continued) criticism, constructive, 3 in LATEX, 159 cross-references, in LATEX, 147 in range expressions, 26 Crossref organization, 120, 203 in titles, 94 CTAN (Comprehensive TEX color, RGB versus CMYK, 194–195 Archive Network), 147, commandments 177, 233 of giving a talk, 239, 246 of good writing, 61 dangling participles, 37–38, 135 commas, 50 dangling theorems, 122–123 before final “and”, 53–54 dashes, 161 Oxford, 53–54 dating work, 99, 165 serial, 53–54 definitions, 9–11 compare to versus compare with, 38 delatex, 192 completion, in text editors, 185 delay in publication, 200 Comprehensive TEX Archive delay in refereeing, 200 Network (CTAN), 147, Dewey Decimal Classification, 177, 233 295–296 comprise versus compose, 38 diamond open access, 205 computational experiments and diction, 192 results, reporting, dictionaries, 66–68, 84–85 105–106 American Heritage College Computer Modern Bright font, 162, Dictionary, 67 164 t American Heritage Dictionary Computer Modern font, 162, 164 t of the English Language, Computing Reviews, 295 67 conclusions section, 114–115 bilingual, 84 conference proceedings, 198 Chambers Dictionary, 67 conflict of interest, as referee, 220 Collins Cobuild Advanced conjectures, 7 Learner’s Dictionary, 84 connecting words and phrases, 44, Collins English Dictionary, 67 78–82 Collins Plain English consistency, 37 Dictionary, 84 constants, typesetting in roman Concise Oxford Dictionary, 67 font in LATEX, 151 learner’s, 84 constitute, 39 Longman Dictionary of constructions, common ones in Contemporary English, 84 mathematical writing, 77, Merriam-Webster’s Collegiate 78 t Dictionary, 67, 163 contractions, 37 Oxford Advanced Learner’s copy editor, role of, 197 q, 205–206 Dictionary, 84 copyright, 210–211 Oxford English Dictionary, 66 corollaries, 6 Random House Webster’s cover letter, with journal Unabridged Dictionary, submission, 201 67 Creative Commons licenses, 211, Shorter Oxford English 212 t Dictionary, 67 344 Index dictionaries (continued) epsilon, alternative symbols, 26 using, 84–85 equations Webster’s New World College displaying, 18–19 Dictionary, 67 line breaks in displayed, 20 Webster’s Third New numbering, 123–124 International Dictionary, punctuation of, 15 66, 67, 163 referencing numbered, 25 diff (Unix utility), 147, 190 which to display, 18 diffs (differences of files), 147, 190 errata, 213 displayed equations, 18–19 errors to check for, 130, 131 f dissertation, see thesis essentially, 34 distraction-free writing, 185 etc., 31 DOI (Digital Object Identifier), examples, role of, 8–9 119–120 exclamation marks, 50 field in BibTEX, 178 exercises, in books, 266 doi2bib, 176 expressions, punctuation of, 15 dots ground level, 22 false friends, 84 in LATEX, 156, 159 false ifs, 41–42 vertically centered, 22, 26 fast Fourier transform, notation for, double negatives, 40, 77 12 drafts, revising, 127–143 fences, ordering of, 26 due to, 39, 134 fewer versus less, 39 file organization, 187–189 e-posters, 253 (the) following, avoiding, 49 e.g., 30 fonts effect versus affect, 38 available in LATEX, 162–163 either, 47 blackboard bold, 152, 172 elegant variation, 41 boldface mathematics, 152 ellipses calligraphic, 152 in LATEX, 156 roman versus italic, 21–22 to denote omission, 22 sans serif, 230 em-dashes, 161 footnotes, 123 Emacs (editor), 68, 177, 183 q, placement of symbol, 27 184–185, 195, 270, 290 for example, 30 backups, 189 Fourier math font, 162 Org mode, 183 q, 184, 186, fraud, 125 187, 188 t, 194, 290 Free Software Foundation, 184 org2blog package, 290 full stops, see periods embedded indexing, 277 functions, mathematical en-dashes, 161 in LATEX, 151 English language examinations in roman font, 21 IELTS, 86 TOEFL, 86 galley proofs, 206 n English language, thinking in, 74 Git, 189 English usage, guides to, 69–70, 87 glossary, 309–313 Index 345

GNU Emacs, see Emacs multiple entries for one topic, gold open access, 205 276 Google Scholar, 294 multiple indexes, 280, 284 grammar checkers, 192–194 preparing, see index-writing graphs, 111–112 process Greek alphabet, 297 purpose of, 276 green open access, 205 see and see also entries, 280 grep (Unix utility), 177 subentries, using connectives, 279 index-writing process, 277–285 h-index, 294 embedded indexing, 277 halmos ( ), 8, 14 in LAT X, 281–285 hanging theorems, 122–123 E index (LAT X package), 284 Harvard system (for citations), 112, E MakeIndex, 282–285 114 number of \index commands hyphenation, 42–43, 161 per page, 284 exceptions for TEX, 163–165 showidx (LATEX package), 284 hyphens, suspensive, 43 initialisms, 30, 32 hypotheses, 7 Institute for Scientific Information (ISI), 294 I versus we, 60–61 integer, spelling out, 49 i.e., 30 introduction, 103–104 idiomatic phrases, 74 ISBN (International Standard Book idioms, 75 Number), 122, 177 IELTS, 86 -ise and -ize endings, 37, 57 iff, 31 ISO standard for mathematical inventor, 14 typesetting, 21 ifs, false, 41–42 ispell, 191 impact factor, 199 ISSN (International Standard Serial index, 276–286 Number), 122, 177 amusing index entries, 285 it, ambiguous, 35 double-posting, 280 italic font, usage in typesetting for book, 269 mathematics, 21–22 gloss, parenthesized, 279–280 its or it’s, 37 headings choosing, 278 JabRef, 177 singular vs. plural, 278 journal indexer, choice of, 276–277 abbreviations of names, 119 length, 281 accessibility, 199 locators Chinese economic, rejection at main versus subentry from, 197 q level, 280 choosing, 198–200 formatting of, 284 open access, 199 maximum number per publication delays, 200 entry, 278 refereeing delays, 200 346 Index journal (continued) bmatrix environment, 161 submitting a manuscript, boldface mathematics, 152 200–202 \boldmath, 152 JPEG files, 147, 195, 310 books, tips for producing with, including in LATEX, 170 270–272 Jupyter Notebook, 194 booktabs package, 108, 169 \cdot, 159 keywords, 102 \cdots, 156 Kincaid formula (readability), 192 chapterbib package, 271 Kronecker delta, 13, 14 t checking cross references and citations, 201 lacheck, 173 chemical formulas, 171 LATEX, 145–181 \cite, 148 \! (negative thin space), 158 cmbright package, 163 \* (discretionary \colon, 159 multiplication sign), 156 constants, typesetting in \, (thin space), 154 roman, 151–152 \\ (correct usage of), 148 control space (\␣), 167 \@ (to mark end of sentence), dashes, 161 167 \date, 165 \| (norm symbol, k), 159 dcolumn package, 169 accents, 159 \ddots, 156 algorithm package, 168 debugging, 172–173 algorithmic environment, 168 \DeclareMathOperator, 151 algorithms, typesetting of, 168 \def, 154 align environment, 152–153, delimiters, sizing, 150–151 171 description environment, alignat environment, 152–153 customizing, 166 \allowbreak, 156 displaymath environment, 149 amsfonts package, 300, 301 \dots, 156 amsmath package, 148, 149, ellipses, 156 151, 152, 154, 161 \ensuremath, 151 amssymb package, 148, 152, enumerate environment, 172, 299–301 customizing, 166 annotations, 166 enumitem package, 166 backref package, xxi, 180, epstopdf package, 170 270, 280 eqnarray environment Beamer class, 230–235 (deprecated), 153, 171 \bfseries, 172 t \eqref, 155 biblatex package, 180 equation* environment, 149 bibliographies by chapter, 271 fancyhdr package, 271 bibunits package, 271 fancyvrb package, 168, 234 \big, \bigg, \Big, \Bigg, filenames and internet 150–151 addresses, typing, 162 bm package, 152 fonts, 162–163 \bm, 152 fouriernc package, 163 Index 347

LATEX(continued) mathematical functions in \frac, 160 roman, 151–152 \frenchspacing, 167 \mathnormal, 152, 160 gather environment, 153, 154 mathpazo package, 163 geometry package, 166 mathptmx package, 163 \gg (), 159 \mathstrut, 157 graphics package, 170 mathtools package, 148, 161 \graphicspath, 170 \mbox, 153, 154 graphicx package, 148, 170 \mdseries, 172 t Greek letters in italic, 152, 160 mhchem package, 171 \hat, 159 multind package, 284 \hphantom, 157 nag package, 172 hyperref package, 148, 162 negative thin space (\!), 158 hyphenation exceptions, \newcommand, 154–155 163–165 \normalfont, 172 t idxlayout package, 285 obsolete syntax, avoiding, \include, 270 171–172 \includeonly, 270 order of invocation with including graphics, 169–170 BibTEX and MakeIndex, index package, 284 148 \index, 281 page layout, 166 indexing in, 281–285 paragraphs, unintentional \it (obsolete), 172 t new, 149 itemize environment, parentheses, sizing, 151 customizing, 166 \PassOptionsToPackage, 162 \itshape, 172 t path package, 162 key, choice in labels, 155 PGF package, 169 \label, 155 PGFPlots package, 169 labels, choice of, 155 \phantom, 157 latexsym package, 300, 301 preamble, 147 \left, \right, 150–151 \printindex, 282 line breaks in formulas, programs, typesetting of, 168 155–156 pseudocode, typesetting of, line spacing, wider, 166 168 listings package, 168 \quad, \qquad, 156 lists, overuse of, 166 quotation marks, 165 \ll (), 159 \ref, 148, 155 \lq (‘), 165 \rm (obsolete), 172 t macros for notation, 154–155 \rmfamily, 172 t \makeindex, 281 \rq (’), 165 margins, changing, 166 \sc (obsolete), 172 t math environment, 149 \scshape, 172 t math mode, 149 setspace package, 166 \mathbb, 152 \sf (obsolete), 172 t \mathbf, 152 \sffamily, 172 t \mathcal, 152 showidx package, 284 348 Index

LATEX(continued) \widetilde, 159 showlabels package, 155 latexdiff, 190, 204 siunitx package, 168, 169 latexmk, 148 \sl (obsolete), 172 t lemmas, 6 slashed fractions in text, 160 less versus fewer, 39 \slshape, 172 t library classification schemes, \smash, 157, 158 295–296 source code layout, 150 Library of Congress Classification, spaces, 167 295–296 spacing in formulas, 156–158 licensing, 210–211 fine-tuning, 158–159 like, 47–48 symbols, 299–308 line breaks, 19–20 confusable, 160 t in LATEX formulas, 155–156 tables, 169 linking words, 44, 78–82 testhyphens package, 163 lists, 44–46 , 154 \text in LATEX, 165–166 text in displayed equations, literate programming, 194 153–154 Lucida Bright font, 162, 164 t \textbf, 172 t textcomp package, 308 macros \textit, 172 t in LAT X, 154–155 \textmd, 172 t E in text editors, 185 \textnormal, 172 t \textrm, 172 t MacTeX, 146 \textsc, 172 t MakeIndex, 282–285 \textsf, 172 t Markdown language, 187 \textsl, 172 t markup languages, 186–187 \texttt, 172 t Masters thesis, see thesis \textup, 172 t mathematical functions thin space (\,), 154 in LATEX, 151 ties, 167 in roman font, 21 TikZ package, 169, 187 Mathematical Reviews, 96, 100, 102, \tilde, 159 199, 295, 311 \tt (obsolete), 172 t mathematical writing, glossary, 21 \ttfamily, 172 t Mathematics Subject Classification, upref package, 148 102, 200 \upshape, 172 t MathJax, 288 url package, 148, 162 MathSciNet, 294, 295 \url, 162 MathWebSearch, 295 \varDelta, 152 MATLAB Live Editor, 194 \varepsilon, 26 METAFONT, 181 \vdots, 156 Microsoft Word, 187, 190, 192 \verb, 162 MiKTeX, 146 verbatim environment, 234 minimalist writing, 185 \vphantom, 157 misspellings, common, 35–36 \widehat, 159 MSc thesis, see thesis Index 349 narrowing, 186 acknowledgments, 115 Nature, 115 appendices, 117 negatives, double, 40, 77 author list, see author list New Century Schoolbook font, 162, conclusions section, 114–115 164 t introduction, 103–104 notation, 11–14 shortest, 214 Greek alphabet, 297 supplementary materials, 117 requirements for good, 5, 11 title, see title simplifying in extreme cases, when to publish, 198 12 writing, 89–125 notational synonyms, 24–25 paragraph length, 49 noun strings, 48 parallelism, 20–21 nouns, 48–49 parentheses zombie, 62–63 sizing in LATEX, 151 nth, etc., 26, 77 unnecessary, 23 numbering mathematical objects, participles, dangling, 37–38, 135 123–124 passive voice, 32–33 numbers PDF files, 311 ordinal, 77 including in LATEX, 170 spelling out, 49 PDF workflow, 147 performance profiles, 105 -ology words, 34–35 periods, 50 only, 62 with ellipses, 22 open access permissions, 210–211 journals, 199 perturb, 85 gold, green, diamond, PGF (LATEX package), 170 platinum, 205 PGFPlots (LATEX package), 169 self-archiving, 205 PhD thesis, see thesis opendetex, 192 plagiarism, 124–125 oral examinations, procedure, 262 plain text, 186–187 ORCID (Open Researcher and platinum open access, 205 Contributor ID), 202 plural, of number or symbol, 51 ordinal numbers, 77 posters, 250–254 Org mode, 183 q, 184, 186, 187, 10–10 rule, 251 188 t, 194, 290 blitz, 254 org2blog (Emacs package), 290 board size, 250 organization and structure, 91–92 definition, 250 outlining, 186 e-posters, 253 Overleaf (online LATEX editor), 146 layout, 252 owing to, 39 templates, 254 Oxford commas, 53–54 title, 250 transporting, 253 Palatino font, 162, 164 t PostScript files, 312 Pandoc (document conversion), 187 converting to PDF, 170 paper including in LATEX, 170 abstract, see abstract pr (Unix utility), 191 350 Index problem, 48 referee reports, responding to, programming languages, literate 203–204 programming, 194 refereeing programs, typesetting of, 168 how to, 218–221 Project Jupyter, 194 process, 203–204 pronouns reference rot, 120 ambiguous, 35 references, 117–122 personal, 60 author initials, 118 proof author name, 118 marking the end of, 8, 14 citing, 112–114 organization of, 7–8 date to quote for book, 119 proofreading, 206–210 DOI, 119–120 errors to check for, 207 f errors in, 118 marks, 209 f format of, 117, 174 note added in proof, 210 ordering of, 119 propositions, 6 record full details of, 119 pseudocode, typesetting of, 168 secondary sources, 118 publication delays, 200 to items on the web, 120–122 publication peculiarities using BibTEX, 173–180 abstracts, 102 RefTEX (Emacs package), 177, 184 acknowledgments, 116 rejection, from Chinese economic author lists, 96–98 journal, 197 q sequence of papers, 214 reordering words, 62 shortest papers, 214 repetition, 51 titles, 93 reproducible research, 105–106, publishing, what and when to 117, 194 publish, 198 retraction, 125 punctuation, 49–51 revising drafts, 127–143 in foreign languages, 86 errors to check for, 130, 131 f of lists, 44–46 rivers (typographical), 272 of mathematical expressions, Roget’s Thesaurus, 69 15 roman font constants in LAT X, 151 of numbers, 85–86 E usage in typesetting mathematics, 21–22 QED, 8 RStudio, 194 QR code, 225, 252 running head, 201, 312 quotation marks, 50, 165 in different languages, 86 sans serif font, 230 satisfy versus verify, 83 readability formulas saying what you mean, 53 Flesch formula, 193 scholarly publishing, brief history, Kincaid formula, 192 215 limitations of, 193 Science Citation Index, 294 reading, to improve writing, 3 SCOPUS, 199 reason, 48 § (section), 104 Index 351 self-archiving, 205, 312 structured abstract, 101 self-plagiarism, 124 style checkers, 86, 192–194 semicolons, 50 style guides, 70 as list separator, 54 subject classifications, 102 sentences submission process equations are part of, 15 for book proposals, 269 opening words of, 53, 62, 89 q for journals, 200–202 serial commas, 53–54 submitting previously published SHERPA RoMEO service, 205 material, 201–202 SI prefixes, 111 Subversion (SVN), 189 SI units, 168–169 succinctness, 52 SIAM journals supplementary materials, 117 acceptance rate, 199 symbols, 18 t instructions for referees, 219 f ⇔ or ⇐⇒, 18 progress of an accepted article, ⇒, 18 211–213  versus ∈, 26 significant, 48 ∃, 18 simplification, 54 ∀, 18 slides at end of sentence, 136 awful, definition of, 223 at start of sentence, 23 duplicate, 228 Greek alphabet, 297 economy of words, 228 placement of, 23 graphs in, 229–230 separate by words, 23 legibility, 229 TEX and LATEX, 299–308 lines, number of, 227 unnecessary, 23 number of, 230 words versus, 16–18 overlays, 227, 230 year of first use in print, 14 t preparing in Beamer, 230–235 synonyms, 58–59 revising, examples of, 235 lists in thesauruses, 69 tables in, 229 notational, 24–25 title slide, 225 snippets, 185 tables, 106–111 sort (Unix utility), 191 booktabs (LATEX package), speech 108, 169 pitch variation, 244 orientation, row versus speed of, 243 column, 108 volume of, 243 rules in, 108 spell (Unix utility), 191 versus graphs, 108 spellcheckers, 86, 190–191 talk spelling, 54–57 Beamer, see LATEX, Beamer alternative forms, 54–57 class American versus British, chairing, 246–247 54–57, 68 compared with a paper, 224 common errors, 35–36 eye contact with audience, 244 split infinitives, 57–58, 129, 134 finishing on time, 244 spotlight factor, 98 gestures, 244 352 Index talk (continued) title, 92–96 in a foreign language, 224 choice of words, 89 q laptop, where to put, 242 line breaks in, 95 microphone, 241 of posters, 250 multiple entry points, 226 of talks, 225 multiple exit points, 226 shortest, 93 nerves, 244 TOEFL, 86 notes for, 240 touch typing, 185 pauses, 243 tr (Unix utility), 191 pointer, use of, 241–242 track changes, 190 practising, 240 try and versus try to, 48 preparing for, 240–242 TUG (TEX Users Group), 162, 181 speech typographical errors, 208 pitch variation, 244 speed of, 243 undo, in text editors, 185 volume of, 243 uniq (Unix utility), 191 ten commandments, 246 Unix, 177, 184, 190, 191, 284 title, 225 diff, 147, 190 writing, 223–235 grep, 177 technical writing guides, 70–71 pr, 191 tenses, 59–60 sort, 191 TEX, 145–181, 194, see also LATEX spell, 191 symbols, 299–308 tr, 191 TEX Live, 146 uniq, 191 TEX Users Group (TUG), 162, 181 wc, 192 text editors, 184–186 URL (uniform resource locator), th, etc. (nth term), 26, 77 120 that is, 30 field in BibTEX, 178 that versus which, 39–40 linking with LATEX, 148, 162 the or a, 24, 76–77 shortened, to point to slides, theorems, 6–7 225 dangling, 122–123 usage guides, 69–70 hanging, 122–123 “invalid”, 125 Vancouver system (for citations), numbering, 124 112 thesauruses, 69, 84 verify versus satisfy, 83 thesis version control, 189 defending, 261–262 Vi (editor), 184 opening pages, format of, 260 Vim (editor), 184, 195 oral examination procedure, voice, active versus passive, 32–33 262 purpose of, 258 wc (Unix utility), 192 writing, 258–261 we have, 15, 49 this, ambiguous, 35 we versus I, 60–61 TikZ (LATEX package), 169, 187 Web of Science, 199 Times Roman font, 162, 164 t which versus that, 39–40 Index 353 wicked which, 39–40, 132 omitting to improve sentence, widows (line, word), 207 f, 272 49 Wikipedia articles order of, 62 BibTEX entries for, 179–180 redundant, to avoid confusion, reference format, 121 9 word frequency count, 191 spelling, see spelling word pyramids, 59 f symbols versus, 16–18 Word, Microsoft, 187, 190 unnecessary, removing, 52–53 Wordnik open dictionary project, -yse and -yze endings, 57 68 workflow, 184–195 Wordpress, 288 World Wide Web, referencing items words on, 120–122 absolute, 32 Writer’s Workbench, 193 abstract, 58 writing -age ending, 34–35 clear thinking and, 1 q, 2 distraction-free, 185–186 -al ending, 34–35 factorial technique, 128 ambiguous, 47–48 is difficult, 2 Anglo-Saxon, 59 plain, 2 compound, 42–43 reading to improve, 3 concrete, 58 spiral technique, 128 connecting, 44, 78–82 ten commandments, 61 distinctions between, 38–40, to learn, 2 82–83 WYSIWYG (“what you see is what elegant variation, 41 you get”), 146, 290 French origin, 58 hyphenation of, 42–43 -yse and -yze endings, 57 -ise and -ize endings, 37, 57 Latin origin, 58 ZbMath, 102, 199, 295 linking, 44, 78–82 zeros/zeroes, spelling of, 36 misused, 47–48 zip code versus rip cord, 208 -ology ending, 34–35 zombie nouns, 62–63