<html><head><title>Indexes and Exponents</title><meta name="filename" content="text/smath/01/03091200"/><meta name="language" content="en-US"/><help:css-file-link xmlns:help="http://openoffice.org/2000/help"/><!--The CSS style header method for setting styles--><style type="text/css">
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<p class="Head1"><a name="indiuexp"/><help:key-word value="indexes and exponents; in %PRODUCTNAME Math" tag="kw67300_1" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="exponents and indexes; in %PRODUCTNAME Math" tag="kw67300_2" xmlns:help="http://openoffice.org/2000/help"/><help:link Id="67300" xmlns:help="http://openoffice.org/2000/help">Indexes and Exponents</help:link></p>
<p class="Paragraph">Here, you will find basic information about indexes and exponents in <span class="T1"><help:productname xmlns:help="http://openoffice.org/2000/help">%PRODUCTNAME</help:productname> Math</span>. You can try out the examples described here and understand the details discussed. (The quotation marks in this text are for emphasis purposes only and are not part of the examples.)</p>
<p class="Paragraph">Index and exponent for a character are displayed on top of each other, specifically left-justified for the base character, e.g. <span class="T1">a_2^3" or "a^3_2</span>. This can be in any order. Instead of <span class="T1">'_'</span> and <span class="T1">'^'</span>, you can use <span class="T1">'sub'</span> and <span class="T1">'sup'</span> like before.</p>
<p class="Paragraph">On the contrary, it is no longer possible to work according to the following patterns:</p>
<p class="Paragraph">a_2_3</p>
<p class="Paragraph">a^2^3</p>
<p class="Paragraph">a_2^3_4</p>
<p class="Paragraph">Every sub-/superscript position at a base character can only be used once. You must use brackets to indicate the desired result. The following example illustrates this:</p>
<p class="Paragraph">Unlike other formula editors where "<span class="T1">_</span>" and " <span class="T1">^</span> " only refer to the next character (therefore for "a_24" only to 2), <span class="T1"><help:productname xmlns:help="http://openoffice.org/2000/help">%PRODUCTNAME</help:productname> Math</span> only refers to the entire number(s)/name(s)/text. If you want to put superscript and subscript in sequence, it can be written as follows: a_2{}^3 bzw. a^3{}_2</p>
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<p class="Paragraph">To write tensors, <span class="T1"><help:productname xmlns:help="http://openoffice.org/2000/help">%PRODUCTNAME</help:productname> Math</span> 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."</p>
<p class="Paragraph">Super- and subscripts left of the base character can also be written, namely right-justified. To do this, the new commands "lsub" and "lsup" are used. Both commands have the same effct as "sub" and "sup", except that they are left of the base character. See also "a lsub 2 lsup 3."</p>
<p class="Paragraph">The rules governing unambiguity and the necessity to use brackets remain the same. In principle, this can be achieved with <span class="T1">{}_2^3 a</span>.</p>
<p class="Paragraph">The commands "sub" and "sup" are also available as "rsub" and "rsup". Using this, you can ideally attach mass, proton, and charge numbers to chemical elements: "font sans Zn lsub 30 lsup 63 rsup {2+{}}."</p>
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<p class="Paragraph">Using the "csub" and "csup" commands, you can write super- and subscripts directly above or below a character. See also "a csub y csup x." All types of indexes and exponents together are also possible: "abc_1^2 lsub 3 lsup 4 csub 55555 csup 66666."</p>
<p class="Paragraph">Super- and subscripts can be attached to most unary and binary operators. Two examples: "a div_2 b a<csub n b +_2 h" and "a toward csub f b x toward csup f y."</p>
<p class="Paragraph">Note that during manual entry of these examples into the Command window the existing spaces are required for correct structure.</p>
