Robotics
Circuit Design
Medicine
Glass Melting

The computation with SINGULAR


option(redSB);
ideal J=std(I);
J=J[1..9];
simplify(J,1);

==>
_[1]=C3+(3*vLF*IB1+3*vLF*IC1-3*IB1*vHF-3*IC1*vHF)/(2*VCC*vLF^2*p
     -3*vLF^2*p*VCE1+3*vLF^2*p*VBE2-3*vLF^2*p*VCE2-3*vLF*p*VCE1
     +3*vLF*p*VBE2-3*vLF*p*VCE2)

_[2]=R8+(2*VCC-3*VCE2)/(3*IB1-6*IB2-6*IC2)

_[3]=R7+(-2*VCC*IB2-2*VCC*IC2+3*VBE1*IB1-6*VBE1*IB2-6*VBE1*IC2-3*IB1*VCE1
        +3*IB1*VBE2+6*VCE1*IB2+6*VCE1*IC2-6*VBE2*IB2-6*VBE2*IC2+3*IB2*VCE2
        +3*VCE2*IC2)/(3*IB1^2-6*IB1*IB2-6*IB1*IC2)

_[4]=R6+(2*VCC-3*VCE2)/(3*IB1-6*IB2-6*IC2)

_[5]=R5+(-2*VCC^2*vLF+3*VCC*vLF*VCE1-3*VCC*vLF*VBE2+3*VCC*vLF*VCE2+3*VCC*VCE1
        -3*VCC*VBE2+3*VCC*VCE2)/(6*VCC*vLF*IC2-9*vLF*VCE1*IC2+9*vLF*VBE2*IC2
        -9*vLF*VCE2*IC2+9*IB1*VCE1-9*IB1*VBE2+9*IB1*VCE2+9*VCE1*IC1-9*VCE1*IC2
        -9*IC1*VBE2+9*IC1*VCE2+9*VBE2*IC2-9*VCE2*IC2)

_[6]=R4+(-VCC+3*VBE2-3*VCE2)/(3*IC1+3*IB2)

_[7]=R3+(-2*VCC*vLF*vHF+3*vLF*VCE1*vHF-3*vLF*VBE2*vHF+3*vLF*VCE2*vHF
        +3*VCE1*vHF-3*VBE2*vHF+3*VCE2*vHF)/(3*vLF*IB1+3*vLF*IC1-3*IB1*vHF
        -3*IC1*vHF)

_[8]=R2+(-2*VCC*vLF+3*vLF*VCE1-3*vLF*VBE2+3*vLF*VCE2+3*VCE1-3*VBE2+3*VCE2)
        /(3*IB1+3*IC1)

_[9]=R1+(-2*VCC*vLF+3*vLF*VCE1-3*vLF*VBE2+3*vLF*VCE2+3*VCE1-3*VBE2+3*VCE2)
     /(3*vLF*IB1+3*vLF*IC1)

R6 = -(2*VCC-3*VCE2)/(3*IB1-6*IB2-6*IC2). Conclusion


KL, 06/03 http://www.singular.uni-kl.de