File: sets.xml

package info (click to toggle)
latexml 0.8.8-4
  • links: PTS, VCS
  • area: main
  • in suites: forky, sid
  • size: 31,920 kB
  • sloc: xml: 109,048; perl: 30,224; sh: 179; javascript: 28; makefile: 13
file content (178 lines) | stat: -rw-r--r-- 7,217 bytes parent folder | download | duplicates (3)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
<?xml version="1.0" encoding="UTF-8"?>
<?latexml class="article"?>
<?latexml package="latexml"?>
<?latexml RelaxNGSchema="LaTeXML"?>
<document xmlns="http://dlmf.nist.gov/LaTeXML">
  <resource src="LaTeXML.css" type="text/css"/>
  <resource src="ltx-article.css" type="text/css"/>
  <para xml:id="p1">
    <equation xml:id="S0.Ex1">
      <Math mode="display" tex="\{a\}" text="set@(a)" xml:id="S0.Ex1.m1">
        <XMath>
          <XMDual>
            <XMApp>
              <XMTok meaning="set"/>
              <XMRef idref="S0.Ex1.m1.1"/>
            </XMApp>
            <XMWrap>
              <XMTok role="OPEN" stretchy="false">{</XMTok>
              <XMTok font="italic" role="ID" xml:id="S0.Ex1.m1.1">a</XMTok>
              <XMTok role="CLOSE" stretchy="false">}</XMTok>
            </XMWrap>
          </XMDual>
        </XMath>
      </Math>
    </equation>
    <equation xml:id="S0.Ex2">
      <Math mode="display" tex="\{a:a\in b\}" text="conditional-set@(a, a element-of b)" xml:id="S0.Ex2.m1">
        <XMath>
          <XMDual>
            <XMApp>
              <XMTok meaning="conditional-set"/>
              <XMRef idref="S0.Ex2.m1.1"/>
              <XMRef idref="S0.Ex2.m1.2"/>
            </XMApp>
            <XMWrap>
              <XMTok role="OPEN" stretchy="false">{</XMTok>
              <XMTok font="italic" role="ID" xml:id="S0.Ex2.m1.1">a</XMTok>
              <XMTok name="colon" role="METARELOP">:</XMTok>
              <XMApp xml:id="S0.Ex2.m1.2">
                <XMTok meaning="element-of" name="in" role="RELOP">∈</XMTok>
                <XMTok font="italic" role="ID">a</XMTok>
                <XMTok font="italic" role="ID">b</XMTok>
              </XMApp>
              <XMTok role="CLOSE" stretchy="false">}</XMTok>
            </XMWrap>
          </XMDual>
        </XMath>
      </Math>
    </equation>
    <equation xml:id="S0.Ex3">
      <Math mode="display" tex="\{a|a\in b\}" text="conditional-set@(a, a element-of b)" xml:id="S0.Ex3.m1">
        <XMath>
          <XMDual>
            <XMApp>
              <XMTok meaning="conditional-set"/>
              <XMRef idref="S0.Ex3.m1.1"/>
              <XMRef idref="S0.Ex3.m1.2"/>
            </XMApp>
            <XMWrap>
              <XMTok role="OPEN" stretchy="false">{</XMTok>
              <XMTok font="italic" role="ID" xml:id="S0.Ex3.m1.1">a</XMTok>
              <XMTok role="MIDDLE" stretchy="false">|</XMTok>
              <XMApp xml:id="S0.Ex3.m1.2">
                <XMTok meaning="element-of" name="in" role="RELOP">∈</XMTok>
                <XMTok font="italic" role="ID">a</XMTok>
                <XMTok font="italic" role="ID">b</XMTok>
              </XMApp>
              <XMTok role="CLOSE" stretchy="false">}</XMTok>
            </XMWrap>
          </XMDual>
        </XMath>
      </Math>
    </equation>
  </para>
  <para xml:id="p2">
    <equation xml:id="S0.Ex4">
      <Math mode="display" tex="\{a|a\in b\}_{c=0}" text="(conditional-set@(a, a element-of b)) _ (c = 0)" xml:id="S0.Ex4.m1">
        <XMath>
          <XMApp>
            <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
            <XMDual>
              <XMApp>
                <XMTok meaning="conditional-set"/>
                <XMRef idref="S0.Ex4.m1.1"/>
                <XMRef idref="S0.Ex4.m1.2"/>
              </XMApp>
              <XMWrap>
                <XMTok role="OPEN" stretchy="false">{</XMTok>
                <XMTok font="italic" role="ID" xml:id="S0.Ex4.m1.1">a</XMTok>
                <XMTok role="MIDDLE" stretchy="false">|</XMTok>
                <XMApp xml:id="S0.Ex4.m1.2">
                  <XMTok meaning="element-of" name="in" role="RELOP">∈</XMTok>
                  <XMTok font="italic" role="ID">a</XMTok>
                  <XMTok font="italic" role="ID">b</XMTok>
                </XMApp>
                <XMTok role="CLOSE" stretchy="false">}</XMTok>
              </XMWrap>
            </XMDual>
            <XMApp>
              <XMTok fontsize="70%" meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" fontsize="70%" role="ID">c</XMTok>
              <XMTok fontsize="70%" meaning="0" role="NUMBER">0</XMTok>
            </XMApp>
          </XMApp>
        </XMath>
      </Math>
    </equation>
  </para>
  <para xml:id="p3">
    <equation xml:id="S0.Ex5">
      <Math mode="display" tex="\{x|x\not\in\{y|y&gt;0\}\}" text="conditional-set@(x, x not-element-of conditional-set@(y, y &gt; 0))" xml:id="S0.Ex5.m1">
        <XMath>
          <XMDual>
            <XMApp>
              <XMTok meaning="conditional-set"/>
              <XMRef idref="S0.Ex5.m1.2"/>
              <XMRef idref="S0.Ex5.m1.3"/>
            </XMApp>
            <XMWrap>
              <XMTok role="OPEN" stretchy="false">{</XMTok>
              <XMTok font="italic" role="UNKNOWN" xml:id="S0.Ex5.m1.2">x</XMTok>
              <XMTok role="MIDDLE" stretchy="false">|</XMTok>
              <XMApp xml:id="S0.Ex5.m1.3">
                <XMTok meaning="not-element-of" name="not-in" role="RELOP">∉</XMTok>
                <XMTok font="italic" role="UNKNOWN">x</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="conditional-set"/>
                    <XMRef idref="S0.Ex5.m1.1"/>
                    <XMRef idref="S0.Ex5.m1.3.1"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok role="OPEN" stretchy="false">{</XMTok>
                    <XMTok font="italic" role="UNKNOWN" xml:id="S0.Ex5.m1.1">y</XMTok>
                    <XMTok role="MIDDLE" stretchy="false">|</XMTok>
                    <XMApp xml:id="S0.Ex5.m1.3.1">
                      <XMTok meaning="greater-than" role="RELOP">&gt;</XMTok>
                      <XMTok font="italic" role="UNKNOWN">y</XMTok>
                      <XMTok meaning="0" role="NUMBER">0</XMTok>
                    </XMApp>
                    <XMTok role="CLOSE" stretchy="false">}</XMTok>
                  </XMWrap>
                </XMDual>
              </XMApp>
              <XMTok role="CLOSE" stretchy="false">}</XMTok>
            </XMWrap>
          </XMDual>
        </XMath>
      </Math>
    </equation>
  </para>
  <para xml:id="p4">
    <equation xml:id="S0.Ex6">
      <Math mode="display" tex="\left\{x\middle|x\in S\right\}" text="conditional-set@(x, x element-of S)" xml:id="S0.Ex6.m1">
        <XMath>
          <XMDual>
            <XMApp>
              <XMTok meaning="conditional-set"/>
              <XMRef idref="S0.Ex6.m1.1"/>
              <XMRef idref="S0.Ex6.m1.2"/>
            </XMApp>
            <XMWrap>
              <XMTok role="OPEN" stretchy="true">{</XMTok>
              <XMTok font="italic" role="UNKNOWN" xml:id="S0.Ex6.m1.1">x</XMTok>
              <XMTok role="MIDDLE" stretchy="true">|</XMTok>
              <XMApp xml:id="S0.Ex6.m1.2">
                <XMTok meaning="element-of" name="in" role="RELOP">∈</XMTok>
                <XMTok font="italic" role="UNKNOWN">x</XMTok>
                <XMTok font="italic" role="UNKNOWN">S</XMTok>
              </XMApp>
              <XMTok role="CLOSE" stretchy="true">}</XMTok>
            </XMWrap>
          </XMDual>
        </XMath>
      </Math>
    </equation>
  </para>
</document>