# Model Mathematics

### Component: equations

$Elim11=Tol⁢a11$$Elim22=Tol⁢a22$$Elim33=Tol⁢a33$$Elim12=Tol⁢a12$$Elim13=Tol⁢a13$$Elim23=Tol⁢a23$$Sign12=1.0ifE12≥0.0-1.0otherwise$$Sign13=1.0ifE13≥0.0-1.0otherwise$$Sign23=1.0ifE23≥0.0-1.0otherwise$$Eabs12=E12ifE12≥0.0-1.0⁢E12otherwise$$Eabs13=E13ifE13≥0.0-1.0⁢E13otherwise$$Eabs23=E23ifE23≥0.0-1.0⁢E23otherwise$$Tdev11=2.0⁢k11⁢E11a11b11ifE11≦0.0k11⁢Elim11a11-Elim11b11⁢2.0+b11⁢Elim11a11-Elim11+k11a11-Elim11b11⁢2.0+4.0⁢b11⁢Elim11a11-Elim11+b11⁢Elim112.0⁢b11+1.0a11-Elim112.0⁢E11-Elim11ifE11>Elim11k11⁢E11a11-E11b11⁢2.0+b11⁢E11a11-E11otherwise$$Tdev22=2.0⁢k22⁢E22a22b22ifE22≦0.0k22⁢Elim22a22-Elim22b22⁢2.0+b22⁢Elim22a22-Elim22+k22a22-Elim22b22⁢2.0+4.0⁢b22⁢Elim22a22-Elim22+b22⁢Elim222.0⁢b22+1.0a22-Elim222.0⁢E22-Elim22ifE22>Elim22k22⁢E22a22-E22b22⁢2.0+b22⁢E22a22-E22otherwise$$Tdev33=2.0⁢k33⁢E33a33b33ifE33≦0.0k33⁢Elim33a33-Elim33b33⁢2.0+b33⁢Elim33a33-Elim33+k33a33-Elim33b33⁢2.0+4.0⁢b33⁢Elim33a33-Elim33+b33⁢Elim332.0⁢b33+1.0a33-Elim332.0⁢E33-Elim33ifE33>Elim33k33⁢E33a33-E33b33⁢2.0+b33⁢E33a33-E33otherwise$$Tdev12=Sign12⁢k12⁢Elim12a12-Elim12b12⁢2.0+b12⁢Elim12a12-Elim12+k12a12-Elim12b12⁢2.0+4.0⁢b12⁢Elim12a12-Elim12+b12⁢Elim122.0⁢b12+1.0a12-Elim122.0⁢Eabs12-Elim12ifEabs12>Elim12k12⁢Eabs12a12-Eabs12b12⁢2.0+b12⁢Eabs12a12-Eabs12otherwise$$Tdev13=Sign13⁢k13⁢Elim13a13-Elim13b13⁢2.0+b13⁢Elim13a13-Elim13+k13a13-Elim13b13⁢2.0+4.0⁢b13⁢Elim13a13-Elim13+b13⁢Elim132.0⁢b13+1.0a13-Elim132.0⁢Eabs13-Elim13ifEabs13>Elim13k13⁢Eabs13a13-Eabs13b13⁢2.0+b13⁢Eabs13a13-Eabs13otherwise$$Tdev23=Sign23⁢k23⁢Elim23a23-Elim23b23⁢2.0+b23⁢Elim23a23-Elim23+k23a23-Elim23b23⁢2.0+4.0⁢b23⁢Elim23a23-Elim23+b23⁢Elim232.0⁢b23+1.0a23-Elim232.0⁢Eabs23-Elim23ifEabs23>Elim23k23⁢Eabs23a23-Eabs23b23⁢2.0+b23⁢Eabs23a23-Eabs23otherwise$
Source
Derived from workspace Hunter, Smaill, Hunter, 1995 at changeset 245c984e7efa.
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