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add subtree-ish sources for 12.0.3
[ceph.git] / ceph / src / boost / libs / math / doc / equations / ellint13.mml
1 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block" >
2 <mtable columnalign="left" class="align">
3 <mtr>
4 <mtd columnalign="right" class="align-odd">
5 <msub>
6 <mrow >
7 <mi >R</mi>
8 </mrow>
9 <mrow >
10 <mi >F</mi>
11 </mrow>
12 </msub >
13 <mrow >
14 <mo class="MathClass-open">(</mo>
15 <mrow>
16 <mi >x</mi>
17 <mo class="MathClass-punc">,</mo>
18 <mi >y</mi>
19 <mo class="MathClass-punc">,</mo>
20 <mi >z</mi>
21 </mrow>
22 <mo class="MathClass-close">)</mo>
23 </mrow>
24 </mtd>
25 <mtd class="align-even">
26 <mo class="MathClass-rel">=</mo>
27 <mn>2</mn>
28 <msub>
29 <mrow >
30 <mi >R</mi>
31 </mrow>
32 <mrow >
33 <mi >F</mi>
34 </mrow>
35 </msub >
36 <mrow >
37 <mo class="MathClass-open">(</mo>
38 <mrow>
39 <mi >x</mi>
40 <mo class="MathClass-bin">+</mo>
41 <mi >&#x03BB;</mi>
42 <mo class="MathClass-punc">,</mo>
43 <mi >y</mi>
44 <mo class="MathClass-bin">+</mo>
45 <mi >&#x03BB;</mi>
46 <mo class="MathClass-punc">,</mo>
47 <mi >z</mi>
48 <mo class="MathClass-bin">+</mo>
49 <mi >&#x03BB;</mi>
50 </mrow>
51 <mo class="MathClass-close">)</mo>
52 </mrow>
53 <mspace width="2em"/>
54 </mtd>
55 <mtd columnalign="right" class="align-label"></mtd>
56 <mtd class="align-label">
57 <mspace width="2em"/>
58 </mtd>
59 </mtr>
60 <mtr>
61 <mtd columnalign="right" class="align-odd"></mtd>
62 <mtd class="align-even">
63 <mo class="MathClass-rel">=</mo>
64 <msub>
65 <mrow >
66 <mi >R</mi>
67 </mrow>
68 <mrow >
69 <mi >F</mi>
70 </mrow>
71 </msub >
72 <mfenced separators="" open="(" close=")" >
73 <mrow>
74 <mfrac>
75 <mrow >
76 <mi >x</mi>
77 <mo class="MathClass-bin">+</mo>
78 <mi >&#x03BB;</mi>
79 </mrow>
80 <mrow >
81 <mn>4</mn>
82 </mrow>
83 </mfrac>
84 <mo class="MathClass-punc">,</mo>
85 <mfrac>
86 <mrow >
87 <mi >y</mi>
88 <mo class="MathClass-bin">+</mo>
89 <mi >&#x03BB;</mi>
90 </mrow>
91 <mrow >
92 <mn>4</mn>
93 </mrow>
94 </mfrac>
95 <mo class="MathClass-punc">,</mo>
96 <mfrac>
97 <mrow >
98 <mi >z</mi>
99 <mo class="MathClass-bin">+</mo>
100 <mi >&#x03BB;</mi>
101 </mrow>
102 <mrow >
103 <mn>4</mn>
104 </mrow>
105 </mfrac>
106 </mrow>
107 </mfenced>
108 <mspace width="2em"/>
109 </mtd>
110 <mtd columnalign="right" class="align-label"></mtd>
111 <mtd class="align-label">
112 <mspace width="2em"/>
113 </mtd>
114 </mtr>
115 <mtr>
116 <mtd columnalign="right" class="align-odd">
117 <mi >&#x03BB;</mi>
118 </mtd>
119 <mtd class="align-even">
120 <mo class="MathClass-rel">=</mo>
121 <msqrt>
122 <mrow>
123 <mi >x</mi>
124 <mi >y</mi>
125 </mrow>
126 </msqrt>
127 <mo class="MathClass-bin">+</mo>
128 <msqrt>
129 <mrow>
130 <mi >y</mi>
131 <mi >z</mi>
132 </mrow>
133 </msqrt>
134 <mo class="MathClass-bin">+</mo>
135 <msqrt>
136 <mrow>
137 <mi >z</mi>
138 <mi >x</mi>
139 </mrow>
140 </msqrt>
141 <mspace width="2em"/>
142 </mtd>
143 <mtd columnalign="right" class="align-label"></mtd>
144 <mtd class="align-label">
145 <mspace width="2em"/>
146 </mtd>
147 </mtr>
148 </mtable>
149 </math>