-1
0
-3
0
0
0
0
0
A-1E0L-3I0M0H0T0D0
-1
0
0
0
0
0
0
0
\(N^-1\)
A-1E0L0I0M0H0T0D0
-1
0
0
0
1
0
0
0
\(M N^-1\)
A-1E0L0I0M1H0T0D0
-1
0
2
0
1
-1
-2
0
\(L^2 M T^-2 Θ^-1 N^-1\)
A-1E0L2I0M1H-1T-2D0
-1
0
2
0
1
0
-1
0
\(L^2 M T^-1 N^-1\)
A-1E0L2I0M1H0T-1D0
-1
0
2
0
1
0
-2
0
\(L^2 M T^-2 N^-1\)
A-1E0L2I0M1H0T-2D0
-1
0
3
0
0
0
0
0
\(L^3 N^-1\)
A-1E0L3I0M0H0T0D0
-1
0
3
0
1
0
-2
0
\(L^3 M T^-2 N^-1\)
A-1E0L3I0M1H0T-2D0
-1
1
-3
0
0
0
0
0
A-1E1L-3I0M0H0T0D0
-1
1
0
0
0
0
1
0
\(T I N^-1\)
A-1E1L0I0M0H0T1D0
0
-1
0
0
1
0
-1
0
\(M T^-1 I^-1\)
A0E-1L0I0M1H0T-1D0
0
-1
0
0
1
0
-2
0
\(M T^-2 I^-1\)
A0E-1L0I0M1H0T-2D0
0
-1
0
0
1
0
-3
0
\(M T^-3 I^-1\)
A0E-1L0I0M1H0T-3D0
0
-1
1
0
0
0
0
0
\(L I^-1\)
A0E-1L1I0M0H0T0D0
0
-1
1
0
1
0
-2
0
\(L M T^-2 I^-1\)
A0E-1L1I0M1H0T-2D0
0
-1
1
0
1
0
-3
0
\(L M T^-3 I^-1\)
A0E-1L1I0M1H0T-3D0
0
-1
2
0
1
0
-2
0
\(L^2 M T^-2 I^-1\)
\(m^2 \cdot kg \cdot s^{-2} \cdot A^{-1}\)
A0E-1L2I0M1H0T-2D0
0
-1
2
0
1
0
-3
0
\(L^2 M T^-3 I^-1\)
A0E-1L2I0M1H0T-3D0
0
-1
2
0
1
0
-4
0
\(L^2 M T^-4 I^-1\)
A0E-1L2I0M1H0T-4D0
0
-1
3
0
1
0
-3
0
\(L^3 M T^-3 I^-1\)
A0E-1L3I0M1H0T-3D0
0
-2
1
0
1
0
-2
0
\(L M T^-2 I^-2\)
A0E-2L1I0M1H0T-2D0
0
-2
2
0
1
0
-2
0
\(L^2 M T^-2 I^-2\)
A0E-2L2I0M1H0T-2D0
0
-2
2
0
1
0
-3
0
\(L^2 M T^-3 I^-2\)
A0E-2L2I0M1H0T-3D0
0
-2
3
0
1
0
-4
0
\(L^3 M T^-4 I^-2\)
A0E-2L3I0M1H0T-4D0
0
0
-0.5
0
0.5
0
-1
0
\(L^-0.5 M^0.5 T^-1\)
A0E0L-0.5I0M0.5TE0TM-1D0
0
0
-0.5
0
0.5
0
-2
0
\(L^-0.5 M^0.5 T^-2\)
A0E0L-0.5I0M0.5TE0TM-2D0
0
0
-1.5
0
0.5
0
-1
0
\(L^-1.5 M^0.5 T^-1\)
A0E0L-1.5I0M0.5TE0TM-1D0
0
0
-1.5
0
0.5
0
0
0
\(L^-1.5 M^0.5\)
Suspicious. Electric Charge per Area would be ET/L**2
A0E0L-1.5I0M0.5TE0TM0D0
0
0
-1
0
-1
0
3
0
\(L^-1 M^-1 T^3 Θ\)
A0E0L-1I0M-1H0T3D0
0
0
-1
0
-1
1
3
0
\(L^{-1} M^{-1} T^3 \Theta\)
A0E0L-1I0M-1H1T3D0
0
0
-1
0
0
-1
-2
0
\(L^-1 T^-2 Θ^-1\)
A0E0L-1I0M0H-1T-2D0
0
0
-1
0
0
-1
0
0
\(L^-1 Θ^-1\)
\(L^{-1} \Theta^{-1}\)
A0E0L-1I0M0H-1T0D0
0
0
-1
0
0
0
-1
0
A0E0L-1I0M0H0T-1D0
0
0
-1
0
0
0
0
0
\(L^-1\)
A0E0L-1I0M0H0T0D0
0
0
-1
0
0
0
1
0
\(L^-1 T\)
A0E0L-1I0M0H0T1D0
0
0
-1
0
0
0
2
0
\(L^{-1} T^2\)
Should be M-1L-2T4E2
A0E0L-1I0M0H0T2D0
0
0
-1
0
0
1
0
0
A0E0L-1I0M0H1T0D0
0
0
-1
0
1
-1
-2
0
\(M / (L \cdot T^2 H)\)
\(M / (L \cdot T^2 \Theta)\)
A0E0L-1I0M1H-1T-2D0
0
0
-1
0
1
0
-1
0
\(L^-1 M T^-1\)
A0E0L-1I0M1H0T-1D0
0
0
-1
0
1
0
-2
0
\(L^-1 M T^-2\)
A0E0L-1I0M1H0T-2D0
0
0
-1
0
1
0
-3
0
\(L^-1 M T^-3\)
A0E0L-1I0M1H0T-3D0
0
0
-1
0
1
0
0
0
\(L^-1 M\)
A0E0L-1I0M1H0T0D0
0
0
-1
0
1
1
-3
0
A0E0L-1I0M1H1T-3D0
0
0
-2
0
-1
0
2
0
\(L^-2 M^-1 T^2\)
A0E0L-2I0M-1H0T2D0
0
0
-2
0
-1
1
3
0
\(L^-2 M^-1 T^3 Θ\)
A0E0L-2I0M-1H1T3D0
0
0
-2
0
0
0
-1
0
\(L^-2 T-1 Q\)
A0E0L-2I0M0H0T-1D0
0
0
-2
0
0
0
-2
0
A0E0L-2I0M0H0T-2D0
0
0
-2
0
0
0
0
0
A0E0L-2I0M0H0T0D0
0
0
-2
0
0
0
2
0
\(L^{-2} T^2\)
Permeability should be force/current**2, which is ML/T2E2. Permittivity should be T4E2L-3M-1
A0E0L-2I0M0H0T2D0
0
0
-2
0
1
0
-1
0
\(L^{-2} M T^{-1}\)
A0E0L-2I0M1H0T-1D0
0
0
-2
0
1
0
-2
0
\(L^-2 M T^-2\)
A0E0L-2I0M1H0T-2D0
0
0
-2
0
1
0
0
0
\(L^-2 M\)
A0E0L-2I0M1H0T0D0
0
0
-2
0
1
1
0
0
A0E0L-2I0M1H1T0D0
0
0
-2
0
2
0
-2
0
\(L^-2 M^2 T^-2\)
A0E0L-2I0M2H0T-2D0
0
0
-2
0
2
0
-6
0
A0E0L-2I0M2H0T-6D0
0
0
-2
1
-1
0
3
1
\(U L^-2 M^-1 T^3 J\)
A0E0L-2I1M-1H0T3D1
0
0
-2
1
0
0
0
0
\(L^-2 J\)
A0E0L-2I1M0H0T0D0
0
0
-2
1
0
0
0
1
\(U L^-2 J\)
A0E0L-2I1M0H0T0D1
0
0
-2
1
0
0
1
0
\(L^-2 J T\)
A0E0L-2I1M0H0T1D0
0
0
-3
0
0
0
-1
0
\(L^-3T^-1\)
A0E0L-3I0M0H0T-1D0
0
0
-3
0
0
0
0
0
\(L^-3\)
A0E0L-3I0M0H0T0D0
0
0
-3
0
1
0
-1
0
A0E0L-3I0M1H0T-1D0
0
0
-3
0
1
0
-3
0
A0E0L-3I0M1H0T-3D0
0
0
-3
0
1
0
0
0
\(L^-3 M\)
A0E0L-3I0M1H0T0D0
0
0
-4
0
-2
0
4
0
\(L^-4 M^-2 T^4\)
A0E0L-4I0M-2H0T4D0
0
0
0.5
0
0.5
0
-1
0
\(L^0.5 M^0.5 T^-1\)
A0E0L0.5I0M0.5TE0TM-1D0
0
0
0.5
0
0.5
0
-2
0
\(L^0.5 M^0.5 T^-2\)
A0E0L0.5I0M0.5TE0TM-2D0
0
0
0.5
0
0.5
0
0
0
\(L^0.5 M^0.5\)
Electric Charge should be ET
A0E0L0.5I0M0.5TE0TM0D0
0
0
0
0
-1
0
-1
0
A0E0L0I0M-1H0T-1D0
0
0
0
0
-1
0
0
0
A0E0L0I0M-1H0T0D0
0
0
0
0
-1
0
1
0
A0E0L0I0M-1H0T1D0
0
0
0
0
-1
1
3
0
\(M^-1 T^3 Θ\)
A0E0L0I0M-1H1T3D0
0
0
0
0
-2
0
0
0
A0E0L0I0M-2H0T0D0
0
0
0
0
0
-1
-1
0
\(T^-1 Θ^-1\)
A0E0L0I0M0H-1T-1D0
0
0
0
0
0
0
-1
0
\(T^-1\)
A0E0L0I0M0H0T-1D0
0
0
0
0
0
0
-1
1
\(U T^-1\)
A0E0L0I0M0H0T-1D1
0
0
0
0
0
0
-2
0
\(U T^-2\)
A0E0L0I0M0H0T-2D0
0
0
0
0
0
0
-2
1
\(U T^-2\)
A0E0L0I0M0H0T-2D1
0
0
0
0
0
0
0
1
\(U\)
A0E0L0I0M0H0T0D1
0
0
0
0
0
0
1
0
\(T\)
A0E0L0I0M0H0T1D0
0
0
0
0
0
0
1
1
A0E0L0I0M0H0T1D1
0
0
0
0
0
0
2
0
\(T^2\)
A0E0L0I0M0H0T2D0
0
0
0
0
0
1
-1
0
\(T^-1 Θ\)
A0E0L0I0M0H1T-1D0
0
0
0
0
0
1
0
0
\(H\)
A0E0L0I0M0H1T0D0
0
0
0
0
0
1
1
0
\(T Θ\)
A0E0L0I0M0H1T1D0
0
0
0
0
0
2
-1
0
A0E0L0I0M0H2T-1D0
0
0
0
0
0
2
0
0
A0E0L0I0M0H2T0D0
0
0
0
0
1
-1
-3
0
\(M T^-3 Θ^-1\)
A0E0L0I0M1H-1T-3D0
0
0
0
0
1
-4
-3
0
\(M T^{-3}.H^{-4}\)
\(M T^{-3}.\Theta^{-4}\)
A0E0L0I0M1H-4T-3D0
0
0
0
0
1
0
-1
0
\(M T^-1\)
A0E0L0I0M1H0T-1D0
0
0
0
0
1
0
-2
0
\(M T^-2\)
A0E0L0I0M1H0T-2D0
0
0
0
0
1
0
-3
-1
\(U^-1 M T^-3\)
A0E0L0I0M1H0T-3D-1
0
0
0
0
1
0
-3
0
\(M T^-3\)
A0E0L0I0M1H0T-3D0
0
0
0
0
1
0
-4
0
A0E0L0I0M1H0T-4D0
0
0
0
0
1
0
0
0
\(M\)
A0E0L0I0M1H0T0D0
0
0
0
0
1
1
0
0
\(M Θ\)
A0E0L0I0M1H1T0D0
0
0
0
0
2
0
-2
0
A0E0L0I0M2H0T-2D0
0
0
0
1
0
0
0
0
\(J\)
A0E0L0I1M0H0T0D0
0
0
0
1
0
0
0
1
\(U J\)
A0E0L0I1M0H0T0D1
0
0
1.5
0
0.5
0
-1
0
\(L^1.5 M^0.5 T^-1\)
Suspicious
A0E0L1.5I0M0.5TE0TM-1D0
0
0
1.5
0
0.5
0
-2
0
\(L^1.5 M^0.5 T^-2\)
A0E0L1.5I0M0.5TE0TM-2D0
0
0
1
0
-1
0
1
0
A0E0L1I0M-1H0T1D0
0
0
1
0
-1
0
2
0
\(L T^2 M^-1\)
A0E0L1I0M-1H0T2D0
0
0
1
0
0
-1
0
0
\(L .H^{-1}\)
\(L .\Theta^{-1}\)
A0E0L1I0M0H-1T0D0
0
0
1
0
0
0
-1
0
\(L T^-1\)
A0E0L1I0M0H0T-1D0
0
0
1
0
0
0
-2
0
\(L T^-2\)
A0E0L1I0M0H0T-2D0
0
0
1
0
0
0
-3
0
A0E0L1I0M0H0T-3D0
0
0
1
0
0
0
0
0
\(L\)
A0E0L1I0M0H0T0D0
0
0
1
0
0
0
1
0
A0E0L1I0M0H0T1D0
0
0
1
0
0
0
2
0
A0E0L1I0M0H0T2D0
0
0
1
0
0
1
-1
0
A0E0L1I0M0H1T-1D0
0
0
1
0
0
1
0
0
\(L \cdot H\)
\(L \cdot \Theta\)
A0E0L1I0M0H1T0D0
0
0
1
0
1
-1
-3
0
\(L \cdot M /( T^3 \cdot \Theta^1)\)
\(L.M.T^{-3} .\Theta^{-1}\)
A0E0L1I0M1H-1T-3D0
0
0
1
0
1
0
-1
0
\(L M T^-1\)
A0E0L1I0M1H0T-1D0
0
0
1
0
1
0
-2
0
\(L M T^-2\)
A0E0L1I0M1H0T-2D0
0
0
1
0
1
0
-3
0
A0E0L1I0M1H0T-3D0
0
0
1
0
1
0
0
0
\(L M\)
A0E0L1I0M1H0T0D0
0
0
2
0
-1
0
0
0
A0E0L2I0M-1H0T0D0
0
0
2
0
-1
1
-1
0
A0E0L2I0M-1H1T-1D0
0
0
2
0
0
-1
-2
0
\(L^2 T^-2 Θ^-1\)
A0E0L2I0M0H-1T-2D0
0
0
2
0
0
-1
-3
0
\(L^2 T^-3 Θ^-1 N^-1\)
A0E0L2I0M0H-1T-3D0
0
0
2
0
0
-1
0
0
\(L^2 Θ^-1\)
A0E0L2I0M0H-1T0D0
0
0
2
0
0
0
-1
0
\(L^2 T^-1\)
A0E0L2I0M0H0T-1D0
0
0
2
0
0
0
-2
0
\(L^2 T^-2\)
A0E0L2I0M0H0T-2D0
0
0
2
0
0
0
-3
0
\(L^2 T^-3\)
A0E0L2I0M0H0T-3D0
0
0
2
0
0
0
-4
0
A0E0L2I0M0H0T-4D0
0
0
2
0
0
0
0
0
\(L^2\)
A0E0L2I0M0H0T0D0
0
0
2
0
0
0
0
1
\(U L^2\)
A0E0L2I0M0H0T0D1
0
0
2
0
0
0
1
0
\(L^2 T\)
A0E0L2I0M0H0T1D0
0
0
2
0
0
0
2
0
A0E0L2I0M0H0T2D0
0
0
2
0
0
1
0
0
\(L^2 Θ\)
A0E0L2I0M0H1T0D0
0
0
2
0
0
1
1
0
\(L^2 T Θ\)
A0E0L2I0M0H1T1D0
0
0
2
0
1
-1
-2
0
\(L^2 M T^-2 Θ^-1\)
A0E0L2I0M1H-1T-2D0
0
0
2
0
1
-1
-3
0
\(L^2 M T^-3 Θ^-1\)
A0E0L2I0M1H-1T-3D0
0
0
2
0
1
0
-1
0
\(L^2 M T^-1\)
A0E0L2I0M1H0T-1D0
0
0
2
0
1
0
-2
0
\(L^2\,M\,T^{-2}\)
A0E0L2I0M1H0T-2D0
0
0
2
0
1
0
-3
-1
\(U^-1 L^2 M T^-3\)
A0E0L2I0M1H0T-3D-1
0
0
2
0
1
0
-3
0
\(L^2 M T^-3\)
A0E0L2I0M1H0T-3D0
0
0
2
0
1
0
0
0
\(L^2 M\)
A0E0L2I0M1H0T0D0
0
0
3
0
-1
-1
0
0
\(L^3 M^-1 Θ^-1\)
A0E0L3I0M-1H-1T0D0
0
0
3
0
-1
0
-2
0
\(L^3 M^-1 T^-2\)
A0E0L3I0M-1H0T-2D0
0
0
3
0
-1
0
0
0
\(L^3 M^-1\)
A0E0L3I0M-1H0T0D0
0
0
3
0
0
-1
0
0
\(L^3 Θ^-1\)
A0E0L3I0M0H-1T0D0
0
0
3
0
0
0
-1
0
\(L^3 T^-1\)
A0E0L3I0M0H0T-1D0
0
0
3
0
0
0
-2
0
\(L^3 T^-2\)
A0E0L3I0M0H0T-2D0
0
0
3
0
0
0
0
0
\(L^3\)
A0E0L3I0M0H0T0D0
0
0
3
0
1
0
-1
0
\(L^3 M T^-1\)
A0E0L3I0M1H0T-1D0
0
0
3
0
1
0
-2
0
\(L^3 M T^-2\)
A0E0L3I0M1H0T-2D0
0
0
4
0
0
0
-1
0
A0E0L4I0M0H0T-1D0
0
0
4
0
0
0
0
0
\(L^4\)
A0E0L4I0M0H0T0D0
0
0
4
0
1
0
-3
-1
\(U^-1 L^4 M T^-3\)
A0E0L4I0M1H0T-3D-1
0
0
4
0
1
0
-3
0
\(L^4 M T^-3\)
A0E0L4I0M1H0T-3D0
0
0
4
0
2
0
-4
0
\(L^4 M^2 T^-4\)
A0E0L4I0M2H0T-4D0
0
1
-1
0
-1
0
2
0
\(L^{-1} M^{-1} T^2 I\)
A0E1L-1I0M-1H0T2D0
0
1
-1
0
0
0
0
0
\(L^-1 I\)
A0E1L-1I0M0H0T0D0
0
1
-1
0
0
0
1
0
\(L^-1 T I\)
A0E1L-1I0M0H0T1D0
0
1
-2
0
-1
0
2
0
\(L^-2 M^-1 T^2 I\)
A0E1L-2I0M-1H0T2D0
0
1
-2
0
-1
0
3
0
\(L^-2 M^-1 T^3 I\)
A0E1L-2I0M-1H0T3D0
0
1
-2
0
0
0
0
0
\(L^-2 I\)
A0E1L-2I0M0H0T0D0
0
1
-2
0
0
0
1
0
\(L^-2 T I\)
A0E1L-2I0M0H0T1D0
0
1
-3
0
0
0
1
0
\(L^-3 T I\)
A0E1L-3I0M0H0T1D0
0
1
0
0
-1
0
0
0
A0E1L0I0M-1H0T0D0
0
1
0
0
-1
0
1
0
\(M^-1 T I\)
A0E1L0I0M-1H0T1D0
0
1
0
0
-1
1
2
0
\(M^-1 T^2 I Θ\)
A0E1L0I0M-1H1T2D0
0
1
0
0
0
-1
0
0
A0E1L0I0M0H-1T0D0
0
1
0
0
0
0
0
-1
\(U^-1 I\)
A0E1L0I0M0H0T0D-1
0
1
0
0
0
0
0
0
\(I\)
A0E1L0I0M0H0T0D0
0
1
0
0
0
0
0
1
\(U I\)
A0E1L0I0M0H0T0D1
0
1
0
0
0
0
1
0
\(T I\)
A0E1L0I0M0H0T1D0
0
1
1
0
0
0
1
0
\(L T I\)
A0E1L1I0M0H0T1D0
0
1
2
0
0
0
0
0
\(L^2 I\)
A0E1L2I0M0H0T0D0
0
1
2
0
0
0
1
0
\(L^2 T I\)
A0E1L2I0M0H0T1D0
0
2
-2
0
-1
0
2
0
\(L^-2 M^-1 T^2 I^2\)
A0E2L-2I0M-1H0T2D0
0
2
-2
0
-1
0
3
0
\(L^-2 M^-1 T^3 I^2\)
A0E2L-2I0M-1H0T3D0
0
2
-2
0
-1
0
4
0
\(L^-2 M^-1 T^4 I^2\)
A0E2L-2I0M-1H0T4D0
0
2
-3
0
-1
0
3
0
A0E2L-3I0M-1H0T3D0
0
2
-3
0
-1
0
4
0
\(L^-3 M^-1 T^4 I^2\)
A0E2L-3I0M-1H0T4D0
0
2
-4
0
-1
0
3
0
A0E2L-4I0M-1H0T3D0
0
2
0
0
-1
0
4
0
\(M^-1 T^4 I^2\)
A0E2L0I0M-1H0T4D0
0
2
0
0
0
0
1
0
T I I^2
A0E2L0I0M0H0T1D0
0
2
2
0
-1
0
2
0
\(L^2 M^-1 T^2 I^2\)
A0E2L2I0M-1H0T2D0
0
3
-1
0
-2
0
7
0
\(L^-1 M^-2 T^7 I^3\)
A0E3L-1I0M-2H0T7D0
0
4
-2
0
-3
0
10
0
\(L^-2 M^-3 T^10 I^4\)
A0E4L-2I0M-3H0T10D0
0
4
-5
0
-3
0
10
0
\(L^-5 M^-3 T^10 I^4\)
A0E4L-5I0M-3H0T10D0
1
0
-2
0
0
0
-1
0
A1E0L-2I0M0H0T-1D0
1
0
-2
0
0
0
0
0
A1E0L-2I0M0H0T0D0
1
0
-3
0
-1
0
2
0
A1E0L-3I0M-1H0T2D0
1
0
-3
0
0
0
-1
0
A1E0L-3I0M0H0T-1D0
1
0
-3
0
0
0
0
0
\(L^-3 N\)
A1E0L-3I0M0H0T0D0
1
0
0
0
-1
0
-1
0
A1E0L0I0M-1H0T-1D0
1
0
0
0
-1
0
0
0
\(M^-1 N\)
A1E0L0I0M-1H0T0D0
1
0
0
0
0
0
-1
0
\(T^-1 N\)
A1E0L0I0M0H0T-1D0
1
0
0
0
0
0
0
0
\(N\)
A1E0L0I0M0H0T0D0
1
0
0
0
0
1
0
0
\(\theta N\)
A1E0L0I0M0H1T0D0
QUDT DIMENSIONS Vocab Catalog Entry
Jack Hodges
Steve Ray
2019-08-01T16:25:54.850+00:00
Steve Ray
Provides the set of all dimension vectors
2021-02-11T17:21:48.480-08:00
The QUDT Ontologies are issued under a Creative Commons Attribution 4.0 International License (CC BY 4.0), available at https://creativecommons.org/licenses/by/4.0/. Attribution should be made to QUDT.org
QUANTITY-KIND-DIMENSION-VECTORS
All disciplines
Science, Medicine and Engineering
2019-08-01T21:26:38
QUDT Dimension Vectors is a vocabulary that extends QUDT Quantity Kinds with properties that support dimensional analysis. There is one dimension vector for each of the system's base quantity kinds. The vector's magnitude determines the exponent of the base dimension for the referenced quantity kind
QUDT Dimension Vectors Version 2.1.9
TBD
http://www.qudt.org/doc/2021/02/DOC_VOCAB-QUANTITY-KIND-DIMENSION-VECTORS-v2.1.html
http://www.linkedmodel.org/lib/lm/images/logos/qudt_logo-300x110.png
http://qudt.org/vocab/dimensionvector/
qkdv
qudt.org
http://www.qudt.org/doc/2021/01/DOC_VOCAB-QUANTITY-KIND-DIMENSION-VECTORS-v2.1.html
2.1
1
http://qudt.org/2.1/vocab/dimensionvector
QUDT Dimension Vector Vocabulary Version 2.1.9