texmath-0.13.1.2: test/reader/omml/sphere_volume.test
<<< omml
<?xml version="1.0" encoding="UTF-8"?>
<m:oMathPara>
<m:oMathParaPr>
<m:jc m:val="center" />
</m:oMathParaPr>
<m:oMath>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>S</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>=</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>{</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>0</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>≤</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>ϕ</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>≤</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>2</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>π</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>,</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t> </m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>0</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>≤</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>θ</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>≤</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>π</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>,</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t> </m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>0</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>≤</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>ρ</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>≤</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>R</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>}</m:t>
</m:r>
<m:m>
<m:mPr>
<m:baseJc m:val="center" />
<m:plcHide m:val="on" />
<m:mcs>
<m:mc>
<m:mcPr>
<m:mcJc m:val="right" />
</m:mcPr>
</m:mc>
<m:mc>
<m:mcPr>
<m:mcJc m:val="left" />
</m:mcPr>
</m:mc>
<m:mc>
<m:mcPr>
<m:mcJc m:val="left" />
</m:mcPr>
</m:mc>
<m:mc>
<m:mcPr>
<m:mcJc m:val="left" />
</m:mcPr>
</m:mc>
<m:mc>
<m:mcPr>
<m:mcJc m:val="left" />
</m:mcPr>
</m:mc>
</m:mcs>
</m:mPr>
<m:mr>
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>V</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>o</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>l</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>u</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>m</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>e</m:t>
</m:r>
</m:e>
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>=</m:t>
</m:r>
<m:nary>
<m:naryPr>
<m:chr m:val="∭" />
<m:limLoc m:val="undOvr" />
<m:supHide m:val="on" />
<m:supHide m:val="on" />
</m:naryPr>
<m:e />
<m:sub />
<m:sup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>S</m:t>
</m:r>
</m:sup>
</m:nary>
<m:sSup>
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>ρ</m:t>
</m:r>
</m:e>
<m:sup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>2</m:t>
</m:r>
</m:sup>
</m:sSup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>sin</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>θ</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t> </m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>d</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>ρ</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t> </m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>d</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>θ</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t> </m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>d</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>ϕ</m:t>
</m:r>
</m:e>
</m:mr>
<m:mr>
<m:e />
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>=</m:t>
</m:r>
<m:nary>
<m:naryPr>
<m:chr m:val="∫" />
<m:limLoc m:val="subSup" />
<m:supHide m:val="off" />
<m:supHide m:val="off" />
</m:naryPr>
<m:e />
<m:sub>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>0</m:t>
</m:r>
</m:sub>
<m:sup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>2</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>π</m:t>
</m:r>
</m:sup>
</m:nary>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>d</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>ϕ</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t> </m:t>
</m:r>
<m:nary>
<m:naryPr>
<m:chr m:val="∫" />
<m:limLoc m:val="subSup" />
<m:supHide m:val="off" />
<m:supHide m:val="off" />
</m:naryPr>
<m:e />
<m:sub>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>0</m:t>
</m:r>
</m:sub>
<m:sup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>π</m:t>
</m:r>
</m:sup>
</m:nary>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>sin</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>θ</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t> </m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>d</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>θ</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t> </m:t>
</m:r>
<m:nary>
<m:naryPr>
<m:chr m:val="∫" />
<m:limLoc m:val="subSup" />
<m:supHide m:val="off" />
<m:supHide m:val="off" />
</m:naryPr>
<m:e />
<m:sub>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>0</m:t>
</m:r>
</m:sub>
<m:sup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>R</m:t>
</m:r>
</m:sup>
</m:nary>
<m:sSup>
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>ρ</m:t>
</m:r>
</m:e>
<m:sup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>2</m:t>
</m:r>
</m:sup>
</m:sSup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>d</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>ρ</m:t>
</m:r>
</m:e>
</m:mr>
<m:mr>
<m:e />
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>=</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>ϕ</m:t>
</m:r>
<m:sSubSup>
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>|</m:t>
</m:r>
</m:e>
<m:sub>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>0</m:t>
</m:r>
</m:sub>
<m:sup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>2</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>π</m:t>
</m:r>
</m:sup>
</m:sSubSup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t> </m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>(</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>−</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>cos</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>θ</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>)</m:t>
</m:r>
<m:sSubSup>
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>|</m:t>
</m:r>
</m:e>
<m:sub>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>0</m:t>
</m:r>
</m:sub>
<m:sup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>π</m:t>
</m:r>
</m:sup>
</m:sSubSup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t> </m:t>
</m:r>
<m:f>
<m:fPr>
<m:type m:val="lin" />
</m:fPr>
<m:num>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>1</m:t>
</m:r>
</m:num>
<m:den>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>3</m:t>
</m:r>
</m:den>
</m:f>
<m:sSup>
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>ρ</m:t>
</m:r>
</m:e>
<m:sup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>3</m:t>
</m:r>
</m:sup>
</m:sSup>
<m:sSubSup>
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>|</m:t>
</m:r>
</m:e>
<m:sub>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>0</m:t>
</m:r>
</m:sub>
<m:sup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>R</m:t>
</m:r>
</m:sup>
</m:sSubSup>
</m:e>
</m:mr>
<m:mr>
<m:e />
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>=</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>2</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>π</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>×</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>2</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>×</m:t>
</m:r>
<m:f>
<m:fPr>
<m:type m:val="lin" />
</m:fPr>
<m:num>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>1</m:t>
</m:r>
</m:num>
<m:den>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>3</m:t>
</m:r>
</m:den>
</m:f>
<m:sSup>
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>R</m:t>
</m:r>
</m:e>
<m:sup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>3</m:t>
</m:r>
</m:sup>
</m:sSup>
</m:e>
</m:mr>
<m:mr>
<m:e />
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>=</m:t>
</m:r>
<m:f>
<m:fPr>
<m:type m:val="lin" />
</m:fPr>
<m:num>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>4</m:t>
</m:r>
</m:num>
<m:den>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>3</m:t>
</m:r>
</m:den>
</m:f>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>π</m:t>
</m:r>
<m:sSup>
<m:e>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>R</m:t>
</m:r>
</m:e>
<m:sup>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>3</m:t>
</m:r>
</m:sup>
</m:sSup>
</m:e>
</m:mr>
</m:m>
</m:oMath>
</m:oMathPara>
>>> native
[ EIdentifier "S"
, ESymbol Rel "="
, ESymbol Open "{"
, ENumber "0"
, ESymbol Rel "\8804"
, EIdentifier "\981"
, ESymbol Rel "\8804"
, ENumber "2"
, EIdentifier "\960"
, ESymbol Pun ","
, ESpace (2 % 9)
, ENumber "0"
, ESymbol Rel "\8804"
, EIdentifier "\952"
, ESymbol Rel "\8804"
, EIdentifier "\960"
, ESymbol Pun ","
, ESpace (2 % 9)
, ENumber "0"
, ESymbol Rel "\8804"
, EIdentifier "\961"
, ESymbol Rel "\8804"
, EIdentifier "R"
, ESymbol Close "}"
, EArray
[ AlignCenter ]
[ [ [ EIdentifier "V"
, EIdentifier "o"
, EIdentifier "l"
, EIdentifier "u"
, EIdentifier "m"
, EIdentifier "e"
]
, [ ESymbol Rel "="
, EUnderover
True (ESymbol Op "\8749") (EGrouped []) (EIdentifier "S")
, ESuper (EIdentifier "\961") (ENumber "2")
, EMathOperator "sin"
, EIdentifier "\952"
, ESpace (1 % 6)
, EIdentifier "d"
, EIdentifier "\961"
, ESpace (1 % 6)
, EIdentifier "d"
, EIdentifier "\952"
, ESpace (1 % 6)
, EIdentifier "d"
, EIdentifier "\981"
]
]
, [ []
, [ ESymbol Rel "="
, ESubsup
(ESymbol Op "\8747")
(ENumber "0")
(EGrouped [ ENumber "2" , EIdentifier "\960" ])
, EIdentifier "d"
, EIdentifier "\981"
, ESpace (1 % 6)
, ESubsup (ESymbol Op "\8747") (ENumber "0") (EIdentifier "\960")
, EMathOperator "sin"
, EIdentifier "\952"
, ESpace (1 % 6)
, EIdentifier "d"
, EIdentifier "\952"
, ESpace (1 % 6)
, ESubsup (ESymbol Op "\8747") (ENumber "0") (EIdentifier "R")
, ESuper (EIdentifier "\961") (ENumber "2")
, EIdentifier "d"
, EIdentifier "\961"
]
]
, [ []
, [ ESymbol Rel "="
, EIdentifier "\981"
, ESubsup
(ESymbol Fence "|")
(ENumber "0")
(EGrouped [ ENumber "2" , EIdentifier "\960" ])
, ESpace (2 % 9)
, ESymbol Open "("
, ESymbol Bin "\8722"
, EMathOperator "cos"
, EIdentifier "\952"
, ESymbol Close ")"
, ESubsup (ESymbol Fence "|") (ENumber "0") (EIdentifier "\960")
, ESpace (2 % 9)
, EFraction NormalFrac (ENumber "1") (ENumber "3")
, ESuper (EIdentifier "\961") (ENumber "3")
, ESubsup (ESymbol Fence "|") (ENumber "0") (EIdentifier "R")
]
]
, [ []
, [ ESymbol Rel "="
, ENumber "2"
, EIdentifier "\960"
, ESymbol Bin "\215"
, ENumber "2"
, ESymbol Bin "\215"
, EFraction NormalFrac (ENumber "1") (ENumber "3")
, ESuper (EIdentifier "R") (ENumber "3")
]
]
, [ []
, [ ESymbol Rel "="
, EFraction NormalFrac (ENumber "4") (ENumber "3")
, EIdentifier "\960"
, ESuper (EIdentifier "R") (ENumber "3")
]
]
]
]