Instructions for Typesetting Manuscript Using LATEX*

International Journal of Mathematics for Industry Original Article Vol. 11, No. 1 (2019) 1–8 c Author(s)

Instructions for typesetting manuscript using LATEX*

First Author†,§ and Second Author‡ †University Department, University Name, Address City, State ZIP/Zone, Country ‡Group, Company, Address City, State ZIP/Zone, Country §fauthor id@domain name

Received Day Month Year Revised Day Month Year Accepted Day Month Year

The abstract should summarize the context, content and conclusions of the paper. It should not contain any references or displayed equations. Typeset the abstract in 8 pt Roman with baselineskip of 10 pt, making an indentation of 1.6 cm on the left and right margins.

Keywords: A list of 3–5 keywords are to be supplied.

1. The Main Text 2. Major Headings Contributions to International Journal of Mathe- Major headings should be typeset in boldface, with matics for Industry are to be in English. Authors the first letter of important words capitalized. are encouraged to have their contribution checked for grammar. American spelling should be used. 2.1. Subheadings Abbreviations are allowed but should be spelt out Subheadings should be typeset in bold italics, with in full when first used. Integers ten and below are the first letter of first word capitalized and the to be spelt out. Italicize foreign language phrases section number in boldface. (e.g., Latin, French). The text is to be typeset in 10 pt Roman, single-spaced with baselineskip of 12 pt. Text area 2.1.1. Sub-subheadings is 17.8 cm (7 inches) across and 24.4 cm (9.6 inches) Typeset in italics (section number to be in roman) deep (including running title). Final pagination and and capitalize the first letter of the first word only. insertion of running titles will be done by the publisher. Unnumbered Section Article id will be assigned by the editorial office Unnumbered sections can be obtained by using once the manuscript is accepted. \section*.

∗For the title, try not to use more than three lines. Typeset the title in 12 pt Roman and boldface. †Typeset names in 10 pt Roman. Use the footnote to indicate the present or permanent address of the author. ‡State completely without abbreviations the aﬃliation and mailing address, including country. Typeset in 10 pt italics. This is an Open Access article published by World Scientiﬁc Publishing Company. The article is distributed under the Creative Commons Attribution 4.0 (CC BY) Licence. Further distribution of this work is permitted, provided the original work is properly cited.

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2.2. Numbering and spacing • item one • item two. Sections, subsections and sub-subsections are numbered with Arabic numerals. Use double spacing Items may also be numbered with lowercase before major and subheadings, and single spacing Roman numerals: after sub-subheadings. (i) item one (ii) item two 3. Lists of Items (a) lists within lists can be numbered with low- Lists are broadly classiﬁed into four major cate- ercase Roman letters gories that can randomly be used as desired by the (b) second item. author: (a) Numbered list. 4. Footnotes (b) Lettered list. Footnotes should be numbered sequentially in su- (c) Unnumbered list. perscript lowercase Roman letters.a (d) Bulleted list.

3.1. Numbered and lettered list 5. Mathematical Formulae • The \begin{arabiclist}[] command is used Inline: For in-line formulae use $ ... $ or for the arabic number list (arabic numbers ap- $ ... $. Avoid built-up constructions, for exam- pearing within parenthesis), e.g., (1), (2), etc. ple fractions and matrices, in in-line formulae. Frac- tions in inline can be typed with a solidus, e.g., • The \begin{romanlist}[] command is used for x+y/z=0. the roman number list (roman numbers appearing within parenthesis), e.g., (i), (ii), etc. Display: Displayed equations should be num- • The \begin{Romanlist}[] command is used for bered consecutively in the paper, with the number the cap roman number list (cap roman numbers set ﬂush right and enclosed in parentheses. For num- appearing within parenthesis), e.g., (I), (II), etc. bered display formulae, use the displaymath envi- • The \begin{alphlist}[] command is used for ronment: the aliphatic character list (aliphatic characters \begin{equation} ... \end{equation}. appearing within parenthesis), e.g., (a), (b), etc. For unnumbered display formulae, use • The \begin{Alphlist}[] command is used for \[ ... \]. For numbered displayed, one-line for- the cap aliphatic character list (cap aliphatic mulae always use the equation environment. Do not characters appearing within parenthesis), e.g., use $$ ... $$. For example, the input for (A), (B), etc. ∞ P Note: For all the above mentioned lists (with the ex- 1(di < t, N(di) = n) ception of aliphatic character list), it is obligatory µ(n, t) = i=1 (1) t to enter the last entry’s number in the list within R 1(N(σ) = n)dσ the square bracket, to enable unit alignment. σ=0 is: 3.2. Bulleted and unnumbered list \begin{equation} – The \begin{itemlist} command is used for the \mu(n, t)=\frac{\sum\limits^\infty_{i=1} bulleted list. 1(d_i

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It is also possible to use the AMS-LATEX pack- \begin{eqnarray} age, which can be obtained from the AMS and var- \zeta\mapsto\hat{\zeta}&=&a\zeta+b\eta\,,\\ ious TEX archives. \eta\mapsto\hat{\eta}&=&c\zeta+d\eta\,. Equations should be referred to in abbreviated \label{eq2n3} form, e.g., “Eq. (1)” or “(2)”. In multiple-line equa- \end{eqnarray} tions, the number should be given on the last line. Displayed equations are to be centered on the produces: page width. Standard English letters like x are to ζ 7→ ζˆ = aζ + bη , (2) appear as x (italicized) in the text if they are used as mathematical symbols. Punctuation marks are η 7→ ηˆ = cζ + dη . (3) used at the end of equations as if they appeared LATEX does not break long equations to make directly in the text. them fit within the margins as it does with nor- mal text. It is therefore up to you to format the 6. Theorems and Definitions equation appropriately (if they overrun the mar- LAT X provides \newtheorem to create new theorem gin.) This typically requires some creative use of E environments. The WSPC document styles contain an eqnarray to get elements shifted to a new line a set of pre-defined environments for theorems, def- and to align nicely, e.g., initions, proofs, remarks, etc., e.g., n (n − 1) (1 + x)n = 1 + nx + x2 2! \begin{theorem} n (n − 1) (n − 2) We have $\# H^2 (M \supset N) < \infty$ ... + x3 \end{theorem} 3! n (n − 1) (n − 2) (n − 3) produces + x4 4! Theorem 1. We have #H2(M ⊃ N) < ∞ for an + . . . nth. (4) inclusion M ⊃ N of factors of finite index. Superscripts and subscripts that are words or and abbreviations, as in πlow, should be typed as roman letters; this is done as $ \pi_{\mathrm{low}} $ \begin{theorem}[Longo, 1998] instead of πlow done with $ \pi_{low} $ For a given $Q$-system... For geometric functions, e.g., exp, sin, cos, \[ tan, etc., please use the macros \sin, \cos, \tan. N = \{x \in N; T x = \gamma (x) T, These macros give proper spacing in mathematical T x^* = \gamma (x^*) T\}\,, formulae. \] Use extensible accents as a vinculum. and $E_\Xi (\cdot) = T^* \gamma (\cdot) T$ gives a conditional expectation onto $N$ abcde^ \widetilde{abcde}* \end{theorem} abcde\ \widehat{abcde}* ←−−− generates abcde \overleftarrow{abcde} −−−→ Theorem 2 (Longo, 1998). For a given Q- abcde \overrightarrow{abcde} system... abcde \overline{abcde} N = {x ∈ N; T x = γ(x)T, T x∗ = γ(x∗)T } , abcde \underline{abcde} ∗ and EΞ(·) = T γ(·)T gives a conditional expecta- z }| { tion onto N. abcde \overbrace{abcde} To add a new theorem-type environments to an abcde \underbrace{abcde} | {z } article, use √ abcde \sqrt{abcde} \newtheorem{example}{Example}[section] √ n abcde \sqrt[n]{abcde} \let\Examplefont\upshape \def\Exampleheadfont{\bfseries} *For very wide accents use yhmath package. Proof. Proofs should end with

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7. Floats rules in tables. But if you think the vertical rule is a must, you can use the standard LAT X tabular 7.1. Tables E environment. Put tables and figures in text using the table and Tables should have a uniform style throughout figure environments, and position them near the the contribution. It does not matter how you place first reference of the table or figure in the text. the inner lines of the table, but we would prefer the Please avoid long captions in figures and tables. border lines to be of the style as shown in our sample tables. For the inner lines of the table, it looks Input: better if they are kept to a minimum. \begin{table}[H] If tables need to extend over to a second page, \tbl{Sample table caption.} the continuation of the table should be preceded by {\begin{tabular}{@{}lcccr@{}} a caption, e.g., “Table 1 (Continued)”. \toprule ID & $m$ & $R^2$ & $x_2$ & Times (s)\\ 7.2. Figures \colrule Figures are to be inserted in the text nearest 11 & 100 & 3135 & 1138 & $<98$\\ their first reference. Original Indian ink drawings 12 & 100 & 3135 & 1138 & $<99$\\ of glossy prints are preferred. Please send one set of 13 & 100 & 3135 & 1138 & $<100$\\ originals with copies. If the publisher is required to 14 & 100 & 3135 & 1138 & $<101$\\ reduce the figures, ensure that the figures (includ- 15 & 100 & 3135 & 1138 & $<102$\\ ing lettering and numbers) are large enough to be \botrule clearly seen after reduction. \end{tabular}} \label{tbl1} Figures are to be sequentially numbered with \end{table} Arabic numerals. The caption must be placed below the figure. For those figures with multiple parts Output: which appear on different pages, it is best to place the full caption below the first part, and have Table 1. Sample table caption. e.g., “Fig. 1 (Continued)” below the last part.

2 ID m R x2 Times (s) \begin{figure}[H] \centerline{ 11 100 3135 1138 < 98 \includegraphics[width=3cm]{ijmi-fig1}} 12 100 3135 1138 < 99 13 100 3135 1138 < 100 \caption{Sample figure caption.} 14 100 3135 1138 < 101 \label{fig1} 15 100 3135 1138 < 102 \end{figure} produces By using \tbl command in table environment, long captions will be justified to the table width while the short or single line captions are centered. \tbl{table caption}{tabullar environment}. For most tables, the horizontal rules are obtained by: toprule one rule at the top colrule one rule separating column heads from data cells botrule one bottom rule Fig. 1. Sample figure caption. Hline one thick rule at the top and bottom of the tables with multiple Previously published material must be accom- column heads panied by written permission from the author and To avoid the rules sticking out at either end publisher. of the table, add @{} before the first and after the The preferred graphics formats are Encapsu- last dijmiriptors, e.g., @llll@. Please avoid vertical lated PostScript (EPS), PDF and TIF for any type

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Table 2. Comparison of acoustic for frequencies for piston-cylinder problem.

Analytical frequency TRIA6-S1 model Piston mass (Rad/s) (Rad/s) % Errora

1.0 281.0 280.81 0.07 0.1 876.0 875.74 0.03 0.01 2441.0 2441.0 0.0 0.001 4130.0 4129.3 0.16

Note: a Sample table footnote.

Caring for other people's needs A1 Polite/ courteous Achievement and target oriented A21 6 A2 Decisive Conscientious and take care A20 5 A3 when doing work

Optimistic A19 4 A4 Control over emotion

Sociable A18 A5 Willing to adapt to or accept new/ 2 different ideas/ situations

1 Critical A17 A6 Aggressive 0

Independent A16 A7 Dedication to work

Confident A15 A8 Interested & enthusiastic

Realistic A14 A9 Inventive

Benchmark Risk taking A13 A10 Principled A12 A11 Individual's Instinctive Investigative

Fig. 2. The bifurcating response curves of system α = 0.5, β = 1.8, δ = 0.2, γ = 0: (a) µ = −1.3 and (b) µ = 0.3. of image. Our TEX installation requires EPS, but we Table: can easily convert TIF to EPS. Many other formats, e.g., PICT (Macintosh), WMF (Windows) and var- \begin{table*} ious proprietary formats, are not suitable. Even if \tbl{Comparison of ...} we can read such files, there is no guarantee that {\begin{tabular}{@{}cccc@{}} they will look the same on our systems as on yours. \toprule Adjust the scaling of the figure until it is cor- Piston mass & Analytical ...\\ rectly positioned, and remove the declarations of \colrule the lines and any anomalous spacing. 1.0... \\ We recommend the use of single column-wide 0.001... \\ tables and figures wherever possible. Tables and \botrule figures spanning two columns can be typeset with \end{tabular}} the following environments: \begin{tabnote} $^{\text a}$ Sample table footnote.\\ • table* and \end{tabnote}\label{tbl2} • figure*. \end{table*}

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Figure: Note Added \begin{figure*} A note can be added before Acknowledgments. \includegraphics[width=5.5in]{ijmi-fig2} \caption{The bifurcating response curves...}\label{fig2} Acknowledgments \end{figure*} This part should come before References. Funding Very large ﬁgures and tables should be placed information may also be included here. on a separate page by themselves. Landscape tables and ﬁgures can be typeset with the following environments: Competing Interests • sidewaystable and Competing interests text typed here. • sidewaysfigure. Example: Contribution \begin{sidewaystable*} Contribution information typed here. \tbl{Positive values of ...} {\begin{tabular}{@{}ccccccccccc@{}} ... Declarations \end{tabular}} \label{tbl3} Declarations text typed here. \end{sidewaystable*}

8. Citations References We have used \bibitem to produce the bibliogra- Article titles should be stated in full but standard phy. Citations in the text use the labels defined abbreviations should be used for journal names. in the bibitem declaration, e.g., the first paper by Typeset reference in 9 pt Roman, single spaced with Best1 is cited using the command \cite{Best03}. baselineskip of 11 pt. Bibitem labels should be unique. For multiple citations, do not use \cite{1}, \cite{2}, but use \cite{1,2} instead. When the Journal reference: reference forms part of the sentence, it should not 1. B. W. Bestbury, R-matrices and the magic be typed in superscripts, e.g., “One can show from square, J. Phys. A 36(7) (2003) 1947–1959. Ref. 2 that ...”, “See Refs. 3 and 4 for more de- 2. P. X. Deligne and B. H. Gross, On the excep- tails.” This is done using the LaTeX command: tional series, and its descendants, C. R. Math. “Ref.~\refcite{name}”. Acad. Sci. Paris 335(11) (2002) 877–881. Abbreviations List of abbreviations typed here. Book reference: 3. L. F. Richardson, Arms and Insecurity (Box- Appendices wood, Pittsburg, 1960). Appendices should be used only when absolutely 4. R. V. Churchill and J. W. Brown, Complex Vari- necessary. If there is more than one appendix, num- ables and Applications, 5th edn. (McGraw-Hill, ber them alphabetically. Number displayed equa- 1990). tions occurring in the appendix as (A.1), (A.2), etc.: 5. D. W. Baker and N. L. Carter, Seismic Velocity ∞ Anisotropy Calculated for Ultramafic Minerals P 1(di < t, N(di) = n) and Aggregates, in Flow and Fracture of Rocks, µ(n, t) = i=1 . (A.1) eds. H. C. Heard, I. V. Borg, N. L. Carter and t C. B. Raleigh, Geophys. Mono. Vol. 16. (Am. R 1(N(σ) = n)dσ σ=0 Geophys. Union, 1972), pp. 157–166. article id-6 Paper Title 0 λ , 0 f ) 0 X Positive roots ( 0.41436 0.414412 0.414489 from Eqs. (15) and (16) for different values of the parameters 0 Q by eliminating 0 4D 5D 6D 7D 8D 10D 12D 16D X 1.14476 1.163211.24003 1.1879 1.48602 1.224341.65625 1.29065 0.415056 0.806578 0.858211 0.414324 0.41436 0.4144120.275327 0.414489 0.275856 0.414605 0.415056 0.416214 0 α 0 1 3 0.128192 0.128966 0.19718, 0.169063, 0.142103, — — — λ 0.1 5 0.089435 0.089441 0.089435 0.089409 0.08935 0.089061 0.088347 0.084352 0.001 0.2 0.316014, 0.309739, — — — — — — in various dimension. 0 1 0.333 0.2 3.15662,5 1.72737, 0.51 — 0.001 — — — — — — — — — — — — — α . . 301 0.302 0.001 2.07773, — — — — — — — 033 0.034 0.1 6.75507, 4.32936, 3.15991, 2.44524, 1.92883, 0.669541, — — 0 0 . 0 1 0.001 2 0.996033, 0.968869, 0.91379, 0.848544, 0.783787, 0.669541, 0.577489, — . f 0.1 0.10.1 20.1 0.10.1 1.667, 1 10 5 0.463679 1.1946 0.2 0.465426 5 0.466489 — — 0.466499 0.464947 — — 0.45438 — 0.429651 — 0.35278 — — — — — — — — — — — — — — — — 0 0 − − − Table 3. Positive values of − and

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Proceedings reference: 7. L. F. Richardson, Arms and Insecurity (Boxwood, Pittsburg, 1960). 6. R. K. Gupta and S. D. Senturia, Pull-in 8. R. V. Churchill and J. W. Brown, Complex Variables time dynamics as a measure of absolute pres- and Applications, 5th edn. (McGraw-Hill, 1990). sure, in Proc. IEEE International Workshop 9. F. Benhamou and A. Colmerauer (eds.), Constraint on Microelectromechanical Systems (MEMS’97), Logic Programming, Selected Research (MIT Press, (Nagoya, Japan, 1997), pp. 290–294. 1993). 7. F. Moss, Stochastic resonance: From the ice ages 10. D. W. Baker and N. L. Carter, Seismic Velocity to the monkey’s ear, in Contemporary Problems Anisotropy Calculated for Ultramaﬁc Minerals and in Statistical Physics, ed. G. H. Weiss (SIAM, Aggregates, in Flow and Fracture of Rocks, eds. Philadelphia, 1994), pp. 205–253. H. C. Heard, I. V. Borg, N. L. Carter and C. B. Raleigh, Geophys. Mono. Vol. 16. (Am. Geophys. Union, 1972), pp. 157–166. 11. J. D. Hobby, A User’s Manual for MetaPost, Tech. References Rep. 162, AT&T Bell Laboratories (Murray Hill, 1. B. W. Bestbury, R-matrices and the magic square, New Jersey, 1992). J. Phys. A 36(7) (2003) 1947–1959. 12. B. W. Kernighan, PIC—A graphics language for 2. P. X. Deligne and B. H. Gross, On the exceptional typesetting, Computing Science Technical Report series, and its descendants, C. R. Math. Acad. Sci. 116, AT&T Bell Laboratories (Murray Hill, New Paris 335(11) (2002) 877–881. Jersey, 1984). 3. J. M. Landsberg and L. Manivel, Triality, excep- 13. M. J. Ball, J. Esling and C. Dickson, VoQS: Voice tional Lie algebras and Deligne dimension formulas, Quality Symbols, Revised to 1994, (1994). Adv. Math. 171(1) (2002) 59–85, http://www.url. 14. M. E. Brown, An Interactive Environment for Liter- com/triality.html. ate Programming, PhD thesis, Texas A&M Univer- 4. G. H. Weiss (ed.), Contemporary Problems in Sta- sity, (TX, USA, 1988), pp. ix + 102. tistical Physics (SIAM, Philadelphia, 1994). 15. G. S. Lodha, Quantitative interpretation of ariborne 5. R. K. Gupta and S. D. Senturia, Pull-in time dynam- electromagnetic response for a spherical model, Mas- ics as a measure of absolute pressure, in Proc. IEEE ter’s thesis, University of Toronto (1974). International Workshop on Microelectromechanical 16. D. Jones, The term ‘phoneme’, in Phonetics in Lin- Systems (MEMS’97), (Nagoya, Japan, 1997), pp. guistics: A Book of Reading, eds. W. E. Jones and 290–294. J. Laver (Longman, London, 1973) pp. 187–204. 6. F. Moss, Stochastic resonance: From the ice ages 17. B. Murrey, Kerning on the ﬂy, URW Non-Plus-Ultra to the monkey’s ear, in Contemporary Problems in Typography series, (Pittsburg, 1991). Statistical Physics, ed. G. H. Weiss (SIAM, Philadel- 18. B. Davidsen, Netpbm (1993), ftp://ftp.wustl. phia, 1994), pp. 205–253. edu/graphics/graphics/packages/NetPBM.

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