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titleDerivation


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p_{wf, 1} = p_{wf} = \Delta p_f + p_1  -+ q_1/J_1


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p_{wf,2} = p_{wf} + \delta p_2 = \Delta p_f + p_2 -+ q_2/J_2


This leads to

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q_1 = J_1 \cdot (p_1{wf} - p1 - \Delta p_{wf}f)


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q_2 = J_2 \cdot (p_{wf,2} - p_{wf,2}2 - \Delta p_f) = J_2 \cdot (p_{wf} - (p_2 + \Delta p_f-\delta p_2)- p_{wf})

and

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q = q_1 + q_2 = q_1 = J_1 \cdot (p_{wf} - (p_1 -+ \Delta p_{wf}f))+ J_2 \cdot (p_{wf} - (p_2-\delta p_2)-  + \Delta p_{wf}f) )


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q =  - (J_1+J_2)\cdot  p_{wf} +- J_1 \cdot (p_1 + \Delta p_f) + J_2 \cdot ((p_2-\delta p_2 + \Delta p_f) )

or

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q =  J \cdot (p_e {wf}- p_{wf}e), \ {\rm where} \ J = J_1 + J_2 \ {\rm and} \ p_e = J^{-1} \cdot (J_1 \cdot (p_1 + \Delta p_f) + J_2 \cdot (p_2-\delta p_2 + \Delta p_f))

or

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p_e = \Delta p_f +  J^{-1} \cdot (J_1 \cdot p_1  + J_2 \cdot (p_2-\delta p_2))



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