?????????????????? Mathematica ????????

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?????????????????? Mathematica ????????

• ?????????? ???????????

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• ?????
• ???????
• ?????
• ????
• Beer!

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Mathematica ?????? (????)

• ????????????????????

• ? Semi-Symbolic Operations

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(No Transcript)
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Mathematica ??????? (????)

• ???????????????????????????
• Fully Symbolic Operations

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Mathematica ?????? (??????)

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• ????????????????????

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Mathematica ??????? (??????)

• ???????????? symbolic ???????????
• ?????????????.

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SuMOpack ??

• Summation and Matrix Operations Package
  forMathematica

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SuMOpack ??????
1) Fully Symbolic Matrix Operations
(????????????)
1.1.1 ?????????? 1.1.2 ???????????? 1.1.3
???????????????? 1.1.4 ????????????????
2) Fully Symbolic Summation Operations
(??????????????????)
2.1 ?????????? 2.2 ?????????????????? 2.3
????????????????????
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SuMOpack ??????

• ???????????????????? (Semi-Symbolic)
• 1.2.1 ???????????????
• 1.2.2 ?????????
• 1.2.3 ??????????
• 1.2.4 ?????????????????
• 1.2.5 ???????????
• 1.2.6 ????????????
• 1.2.7 ?????????

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???? lt-gt ???? 1
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??????
2) Fully Symbolic Summation Operations
(??????????????????)
2.1 ?????????? 2.2 ?????????????????? 2.3
????????????????????
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???????? 1
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???????????? 1
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???????????? 2
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????????

• ?????????????(????????????)????????
• diag, inv, ginv, Ginv, CircleDot, MatrixPower
• .

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Mathematica ????
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?????Polymorphic ?????
???? S2
???? G2
???? P1
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• http//www.ms.hum.titech.ac.jp/sumopack/sumopack.
  zipmayekawa_at_hum.titech.ac.jp