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1 TEX,.,, (copy editor),., TEX, TEX.,, TEX,., ,,,.,,., TEX 1, TEX 2.,, 3., Tohoku Mathematical Journal,.,. 1 2 news group jmath.chat,, 3.,.,. 1 TEX, [1], [2], [3], [4]., TEX, TEX, \., TEX, control sequence,...tex,, % commented out,,., TEX,. 1

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3 $\Hom_R(M,N)$. ( 4, TEX. {\rm } TEX,.) TEX control sequence math operators ( Log-like functions ) arccos, arcsin, arctan, arg, cos, cosh, cot, coth, csc, deg, det, dim, exp, gcd, hom, inf, ker, lg, lim, lim inf, lim sup, ln, log, max, min, Pr, sec, sin, sinh, sup, tan, tanh. math operators ad, Ad, Ass, Aut, BMO, ch, Char, Chow, Cl, codim, conv, dir lim, div, Div, Dom, End, Ext, Flag, Gal, gr, grad, Grass, Hilb, Hol, Hom, Im, ind lim, init, int, Ker, length, lcm, Lie, NS, ord, Pic, proj lim, Proj, re, rel int, res, Res, Ric, sign, sgn, Sing, span, Spec, supp, Td, Todd, Tor, Tr, Trace, Vol, vol. math operator mod. TEX $\bmod$ $\pmod$ 2 control sequence, x = a mod p x a (mod p). $x=a\bmod p$ $x\equiv a\pmod p$. math operator ess, Id, id, ns, pt, red, reg, top, ur, I, II, III,..., i, ii, iii, , slant. control sequence, projective (resp. quasi-projective), Mumford [3], K3 surface, 2, (1), (ii), the hypothesis (H1). Mumford [3], K3 surface, 2, (1), (ii), the hypothesis (H1). L A TEX. Mumford $[3]$, $K3$ surface, \S $2$, $(1)$, $({\rm ii})$, $\cite{ega}$, \S $\ref{sec_notation}$. 1.4 suffix TEX,., TEX,,., 2 3, df dx, a 1 2, 1 2 S, 2/3, df/dx, a1/2, 2 1 S (solidus). 2,. 3 3

4 1.5,,,,,. ( )., TEX. ( cf. [ 10] ), the following : (cf. [10]), the following:.,,,,, i.e. e.g. a.e.,. P.A.Griffiths Indeed,we have.... P. A. Griffiths Indeed, we have....,. TEX,,., J. Amer. Math. Soc. J. Amer. Math. Soc..,. J. Amer.\ Math.\ Soc.\.,, A, B, etc.. Thus we have C..... (\ldots) (\cdots). x 1, x 2,..., x n,. x a := x a1 1 xa2 2 xan n, x 1 + x x n 1.6, TEX,.,.,,. editor FEP (front end processor),,. (,,,.),, TEX. 4

5 ,,. TEX,,.. X, 2), X, 2), X, 2), X, 2).. ( TEX.), $, X π. (ASCII TEX,. NTT TEX.) $X$, $X$ quad $X$, $\pi$ X, X, X, π. (, ASCII TEX.) 1.7 TEX 1.7.1, en, em quasi-projective, p em. en, -. en p em ,. P 1 -fibration P 1 fibration., ${\bf P}^1$-fibration ${\bf P}^1-$fibration., n-points in general position n points in general position. (n + 1) points n + 1 points, n + 1-dimensional (n + 1)-dimensional. 5

6 1.7.2,,, 2, 2. ". Quotation Quotation, "Quotation" Quotation. P s, P s. $P$ s $P s$. (1 ), (ii ) (1 ), (ii ) $(1 )$, $({\rm ii} )$ < x, y >, x, y. $<x,y>$ $\langle x,y\rangle$. \langle, \rangle. <, >, , φ. X Y = φ, X Y =. $X\cap Y=\phi$ $X\cap Y=\emptyset$ $\backslash$ $\setminus$. G\X, Y \ X. \ 2,. $G\backslash X$ $Y\setminus X$ G\X Y \ X. AMS-TEX AMS-L A TEX, \smallsetminus. (, amssymb package.) 6

7 1.7.6 l, 1. TEX, l. 1. l-adic l-adic. rank ( A l ), l(m), l l. l $\ell$, l $l$., l, display display, L A TEX \lefteqn., 2. w + x + y + z = a + b + c + d + e + f + g + h + i + j = , L A TEX \begin{eqnarray*} \lefteqn{w+x+y+z} \\ &=&a+b+c+d+e+f+g+h+i+j \\ &=& \\ & & \mbox{} \end{eqnarray*} , X Y X Y $\cup$ $\cap$, i I X i i I X i, $\bigcup$ $\bigcap$. i I X i i I X i. $\bigcup$ $\bigcap$, display X i, i I. i I X i big.,,,.,, big. Λ. 7

8 2 TEX TEX,. [1], [2], [6],. 2.1 full spelling,, full spelling. Math. Reviews Zentralblatt für Math. 2.,.,,..,, full spelling. Thanks are due to Professor A. Bcd for... Thanks are due to Professor Akio Bcd for....., middle name, J. William Fulbright middle name full spelling., first name middle name ( vich ).,,, full spelling., first name middle name. Math. Review,. 2.2,. ASCII.,. 2.3 MSC Math. Reviews Zentralblatt für Math. MSC MSC. 1 ( ), 2 ( ) Mathematics Subject Classification. Primary 14M25; Secondary 14F40, 32S60. Math. Reviews Annual Index. e-math WWW, 8

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11 the Hölder s inequality, the Hölder inequality, Hölder s inequality. the referee s comment, the referee comment. Green s function,. the Green function. by definition, by assumption, by induction on n, a circle with center at the origin, by the definition of X, by the assumption in Theorem Riemannian metric, Hilbert space, Banach space, Hermitian symmetric space, Jacobian, Hessian, Archimedean, Euclidean. riemannian metric. abelian, Abelian variety abelian variety. abelian group. 3.3 dangling participle ( ). Expanding the right hand side of (1) in terms of q, the theorem follows.. expand the theorem. 3.4 Let If Let Assume, If. Let G be a group. Then..., Let G be a group, then

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13 3.11 notes 1 lecture notes. A, the notes taken by Mr. A. These notes are meant for graduate students another another an other, between 2, 3 among., each other 2, 3 one another X the number of X the cardinality of X the number of elements in X each, every each every. 2 every two years, every second year as follows: as follows:. as follows;. We prove the following: XX XX, for short a an,. a unique, an L 2 -estimate, an S-module, a one-to-one map, a Euclidean space, an unique, a L 2 -estimate, a S-module, an one-to-one map, an Euclidean space., 13

14 (n + 1)-th, (n + 2)-th, (n + 3)-th, (n + 1)-st, (n + 2)-nd, (n + 3)-rd. n plus first iff, it isn t, we don t, w. r. t.. if and only if, it is not, we do not, with respect to., it its it s. it s it is. of course,,. naturally needless to say It goes without saying that. by the way. We would like to add... Here is an additional remark.... anyway, in any case. want to would like to. 3.20, if and only if, if. A subgroup H of G is said to be normal, if x 1 Hx = H holds for all x G. 3.21, call. H is called normal. H is said to be normal. H is called a normal subgroup.. 14

15 3.22 Indeed, In fact,,., In fact, we can say more., first at first at first., first. At first, we prove Propositon 1., We first prove Proposition the case where for this reason the reason for. by this reason the reason of., an explanation for, an estimate for, a motivation for, a criterion for, an abbreviation for. in a similar way in the same way by induction on n similar by an argument similar to that in 1, to as,. by a similar argument as in 1. same the same argument as that in 1,. 15

16 3.27 composite composition,,. the composite g f of f and g, by the composition of f and g. translate translation, transform transformation intersect. A intersects with C, A intersects C. the intersection with C., contradict, this contradicts to the hypothesis. a contradiction to the hypothesis. thank, we thank to Professor X. we thank Professor X. thanks to Professor X. equal, x equals y, equal x is equal to y. 3.29, on the left hand side, on the right hand side. 16

17 3.30 In this section, we prepare some lemmas.. In this section, we prove lemmas needed later.. The author expresses hearty thanks to Professor.... Thanks are due to Professor... Deep appreciation goes to Professor... The author expresses gratitude to Professor..., that is that is. A and B are equivalent, that is, there exists a...., That is, Namely, there is there are, there exists there exist. 3.33, fibre, fiber. fibre,., neighborhood neighbourhood, program programme. 4 TEX TEX version (Knuth TEX version π, METAFONT version e.) (PC ). 17

18 TEX p2.1.4 ( ) TEX for Windows ( ) L A TEX 2.09 ( L A TEX). L A TEX L A TEX2ε, AMS-L A TEX ([12], [13], [14].) TEX,., L A TEX, [7], [8], [9], [10], [11], [13], [14]. [1] A Manual for Authors of Mathematical Papers, Bull. Amer. Math. Soc. 68 (1962), (.) [2] E. Swanson, Mathematics into Type, Amer. Math. Soc [3] A Manual of Style, Chicago Univ. Press, 1969; The Chicago Manual of Style, [4] N. J. Higham, Handbook of Writing for the Mathematical Sciences, siam (Soc. for Industrial and Applied Mathematics), 1993; (, ),, [5], (How to Write Mathematics in English),, [6] N. E. Steenrod, P. R. Halmos, M. M. Schiffer and J. A. Dieudonné, How to Write Mathematics, Amer. Math. Soc., 1973; ( ),, 19, [7] L. Lamport, A Document Preparation System L A TEX, User s Guide and Reference Manual, Addison-Wesley, 1985; Updated for L A TEX2ε, [8] D. E. Knuth, The TEXbook, Addison-Wesley, 1986; (, ) TEX,, [9], L A TEX,, [10], L A TEX, Computer Today 5,, [11],, L A TEX,, [12],, TEX for Windows, Another Manual; Vol. 1: Basic Manual, Vol. 2: Extended Manual,, [13] M. Goossens, F. Mittelbach, A. Samarin, The L A TEX Companion Includes Newly Revised L A TEX Standard, Addison-Wesley, [14] G. Grätzer, Math into L A TEX An Introduction to L A TEX and AMS-L A TEX, Birkhäuser, Boston, Basel, Berlin,

数学の常識・非常識 - 由緒正しい TeX 入力法

数学の常識・非常識 - 由緒正しい TeX 入力法 , 4 1, 1999 5, pp.95 112. TEX,.,, (copy editor),., TEX, TEX.,, TEX,., 1.1 1.2 ( ).,,,.,,., TEX 1, TEX 2.,, 3., Tohoku Mathematical Journal,.,. 1996 1,,, 4.,. 1 TEX, [1], [2], [3], [4]., TEX, TEX, \., L