1*b1cdbd2cSJim Jagielski<?xml version="1.0" encoding="UTF-8"?>
2*b1cdbd2cSJim Jagielski
3*b1cdbd2cSJim Jagielski
4*b1cdbd2cSJim Jagielski<!--***********************************************************
5*b1cdbd2cSJim Jagielski *
6*b1cdbd2cSJim Jagielski * Licensed to the Apache Software Foundation (ASF) under one
7*b1cdbd2cSJim Jagielski * or more contributor license agreements.  See the NOTICE file
8*b1cdbd2cSJim Jagielski * distributed with this work for additional information
9*b1cdbd2cSJim Jagielski * regarding copyright ownership.  The ASF licenses this file
10*b1cdbd2cSJim Jagielski * to you under the Apache License, Version 2.0 (the
11*b1cdbd2cSJim Jagielski * "License"); you may not use this file except in compliance
12*b1cdbd2cSJim Jagielski * with the License.  You may obtain a copy of the License at
13*b1cdbd2cSJim Jagielski *
14*b1cdbd2cSJim Jagielski *   http://www.apache.org/licenses/LICENSE-2.0
15*b1cdbd2cSJim Jagielski *
16*b1cdbd2cSJim Jagielski * Unless required by applicable law or agreed to in writing,
17*b1cdbd2cSJim Jagielski * software distributed under the License is distributed on an
18*b1cdbd2cSJim Jagielski * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
19*b1cdbd2cSJim Jagielski * KIND, either express or implied.  See the License for the
20*b1cdbd2cSJim Jagielski * specific language governing permissions and limitations
21*b1cdbd2cSJim Jagielski * under the License.
22*b1cdbd2cSJim Jagielski *
23*b1cdbd2cSJim Jagielski ***********************************************************-->
24*b1cdbd2cSJim Jagielski
25*b1cdbd2cSJim Jagielski
26*b1cdbd2cSJim Jagielski
27*b1cdbd2cSJim Jagielski<helpdocument version="1.0">
28*b1cdbd2cSJim Jagielski<meta>
29*b1cdbd2cSJim Jagielski<topic id="textsmath0103091200xml" indexer="include" status="PUBLISH">
30*b1cdbd2cSJim Jagielski<title id="tit" xml-lang="en-US">Indexes and Exponents</title>
31*b1cdbd2cSJim Jagielski<filename>/text/smath/01/03091200.xhp</filename>
32*b1cdbd2cSJim Jagielski</topic>
33*b1cdbd2cSJim Jagielski<history>
34*b1cdbd2cSJim Jagielski<created date="2003-10-31T00:00:00">Sun Microsystems, Inc.</created>
35*b1cdbd2cSJim Jagielski<lastedited date="2004-10-12T10:12:17">converted from old format - fpe
36*b1cdbd2cSJim Jagielskidedr: fixed #i30770#</lastedited>
37*b1cdbd2cSJim Jagielski</history>
38*b1cdbd2cSJim Jagielski</meta>
39*b1cdbd2cSJim Jagielski<body>
40*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="index" id="bm_id3150746"><bookmark_value>indexes and exponents in $[officename] Math</bookmark_value>
41*b1cdbd2cSJim Jagielski<bookmark_value>exponents and indexes in $[officename] Math</bookmark_value>
42*b1cdbd2cSJim Jagielski</bookmark>
43*b1cdbd2cSJim Jagielski<paragraph role="heading" id="hd_id3150746" xml-lang="en-US" level="1" l10n="U" oldref="1"><link href="text/smath/01/03091200.xhp" name="Indexes and Exponents">Indexes and Exponents</link></paragraph>
44*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3153730" xml-lang="en-US" l10n="U" oldref="2">Here, you will find basic information about indexes and exponents in <emph>$[officename] Math</emph>. You can try the examples described here to help you understand the details discussed. (The quotation marks in this text are for emphasis purposes only and are not part of the examples.)</paragraph>
45*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3149884" xml-lang="en-US" l10n="U" oldref="3">The index and exponent for a character are displayed one on top of the other, left-justified to the base character. For example, type <emph>a_2^3</emph> or <emph>a^3_2</emph>. This can be in any order. Instead of <emph>'_'</emph> and <emph>'^'</emph>, you can use <emph>'sub'</emph> and <emph>'sup'</emph>.</paragraph>
46*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3148387" xml-lang="en-US" l10n="U" oldref="4">However, it is no longer possible to use the following patterns</paragraph>
47*b1cdbd2cSJim Jagielski<paragraph role="code" id="par_id3149029" xml-lang="en-US" l10n="U" oldref="5">a_2_3</paragraph>
48*b1cdbd2cSJim Jagielski<paragraph role="code" id="par_id3155985" xml-lang="en-US" l10n="U" oldref="6">a^2^3</paragraph>
49*b1cdbd2cSJim Jagielski<paragraph role="code" id="par_id3153923" xml-lang="en-US" l10n="U" oldref="7">a_2^3_4</paragraph>
50*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3153724" xml-lang="en-US" l10n="U" oldref="8">Each sub-/superscript position of a base character can only be used once. You must use brackets to indicate the desired result. The following examples illustrate this</paragraph>
51*b1cdbd2cSJim Jagielski<paragraph role="code" id="par_id3151185" xml-lang="en-US" l10n="U" oldref="9">a_{2_3}</paragraph>
52*b1cdbd2cSJim Jagielski<paragraph role="code" id="par_id3151272" xml-lang="en-US" l10n="U" oldref="10">a^{2^3}</paragraph>
53*b1cdbd2cSJim Jagielski<paragraph role="code" id="par_id3156316" xml-lang="en-US" l10n="U" oldref="11">a_2^{3_4}</paragraph>
54*b1cdbd2cSJim Jagielski<paragraph role="code" id="par_id3145207" xml-lang="en-US" l10n="U" oldref="12">a_{2^3}^{4_5}</paragraph>
55*b1cdbd2cSJim Jagielski<paragraph role="tip" id="par_id3151173" xml-lang="en-US" l10n="U" oldref="13">Unlike other formula editors where "<emph>_</emph>" and " <emph>^</emph> " only refer to the next character ("a_24" refers only to the "2"), $[officename] Math refers to the entire number(s)/name(s)/text. If you want to put superscripts and subscripts in sequence, the expression can be written as follows: a_2{}^3 or a^3{}_2</paragraph>
56*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3154260" xml-lang="en-US" l10n="U" oldref="15">To write tensors, <emph>$[officename] Math</emph> provides several options. In addition to the notation "R_i{}^{jk}{}_l", common in other applications, additional notations can be used, namely "R_i{}^jk{}_l" and "{{R_i}^jk}_l."</paragraph>
57*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3147516" xml-lang="en-US" l10n="U" oldref="16">Super- and subscripts to the left of the base character can also be right-justified. To do this, the new commands "lsub" and "lsup" are used. Both commands have the same effect as "sub" and "sup", except that they are left of the base character. See also "a lsub 2 lsup 3."</paragraph>
58*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3154276" xml-lang="en-US" l10n="U" oldref="17">The rules governing unambiguity and the necessity of using brackets remain the same. In principle, this can be achieved with <emph>{}_2^3 a</emph>.</paragraph>
59*b1cdbd2cSJim Jagielski<paragraph role="note" id="par_id3152961" xml-lang="en-US" l10n="U" oldref="18">The commands "sub" and "sup" are also available as "rsub" and "rsup".</paragraph>
60*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3158437" xml-lang="en-US" l10n="U" oldref="20">Using the "csub" and "csup" commands, you can write super- and subscripts directly above or below a character. An example is "a csub y csup x". Combinations of indexes and exponents together are also possible: "abc_1^2 lsub 3 lsup 4 csub 55555 csup 66666."</paragraph>
61*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_id3154570" xml-lang="en-US" l10n="U" oldref="21">Super- and subscripts can be attached to most unary and binary operators. Two examples: "a div_2 b a&lt;csub n b +_2 h" and "a toward csub f b x toward csup f y."</paragraph>
62*b1cdbd2cSJim Jagielski<paragraph role="warning" id="par_id3155904" xml-lang="en-US" l10n="CHG" oldref="19">Be sure to also enter all spaces between characters when entering these examples into the <emph>Commands</emph> window.</paragraph>
63*b1cdbd2cSJim Jagielski</body>
64*b1cdbd2cSJim Jagielski</helpdocument>
65