Wiljea
commented
4 hours ago A very simple case of "EquationSolver error : No solution ?": ω0=15_r/s k=10N/m 'ROOT((ω0(r/s))=(1r)*√((k(N/m))/(m_kg));[m];[1_kg])' the answer should be [ m=4.44444 44444 4e-2 kg ]
I tried to insert UBASE with no more success.
This happens in "2 Slits Young Interference" of the Equations Library. The idea is to compare two cases, one which works fine and a second one which fails only due to different output units in the ROOT call. The eqns to be solved are: "'(I(W/m^2))/(Imax(W/m^2))=4·(COS(Δφ_°)/2)^2' " "'(Δφ_r)=(2·(Ⓒπ_r)·(dμm)·SIN(θ°))/(λnm)' " "'TAN(θ°)=(y_m)/(L_m)' " "'(Δyint_m)=(λ_nm)·(L_m)/(d_μm)' "
The case which works fine: L=2_m d=800._μm λ=600_nm θ='ASIN(0.6·(λ_nm)/(dμm))' Imax=10(W/m^2) @ Expecting [ Δφ=3.76991 11843 1 r I=6.54508 49718 7 W/m↑2 y=9.00000 09112 5⁻⁴ m Δyint=1.5⁻³ m ] 'ROOT(Ⓔ2 Slits Young Interference;[Δφ;I;y;Δyint];[1r;1(W/m^2);1_m;1_m])'
The case which fails with "Inconsistent units" (using the same input data): L=2_m d=800._μm λ=600_nm θ='ASIN(0.6·(λ_nm)/(dμm))' Imax=10(W/m^2) @ Failing [ Δφ=3.76991 11843 1 r I=6.54508 49718 7 W/m↑2 y=0.90000 00911 25 mm Δyint=1.5 mm ] 'ROOT(Ⓔ2 Slits Young Interference;[Δφ;I;y;Δyint];[1r;1(W/m^2);1_mm;1_mm])'
Strangely the only minor change is "1_m;1_m" replaced by "1_mm;1_mm" at the end of the ROOT call. This should not make any difference.