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How is the underlined part induced? dUT=(VU)TdV+(TU)VdT=T(VS)TP=T(TP)VP dUT=(VU)TdV+(TU)VdT=T(VS)TP=T(TP)VP

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How is the underlined part induced?

dUT=(VU)TdV+(TU)VdT=T(VS)TP=T(TP)VP dUT=(VU)TdV+(TU)VdT=T(VS)TP=T(TP)VP

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