-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
\(L^2 M T^-2 Î^-1 N^-1\)
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
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
\(L^-1 M^-1 T^3 Î\)
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
\(L^-1 T^-2 Î^-1\)
A0E0L-1I0M0H-1T-2D0
0
0
-1
0
0
-1
0
0
\(L^-1 Î^-1\)
\(L^{-1} \Theta^{-1}\)
A0E0L-1I0M0H-1T0D0
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
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
-2
0
-1
0
2
0
\(L^-2 M^-1 T^2\)
A0E0L-2I0M-1H0T2D0
0
0
-2
0
-1
1
3
0
\(L^-2 M^-1 T^3 Î\)
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
\(L^{-2} T^2\)
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
0
0
0
\(L^-2 M\)
A0E0L-2I0M1H0T0D0
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
0
0
\(L^-3\)
A0E0L-3I0M0H0T0D0
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-1H0T1D0
0
0
0
0
-1
1
3
0
\(M^-1 T^3 Î\)
A0E0L0I0M-1H1T3D0
0
0
0
0
-2
0
0
0
A0E0L0I0M-2H0T0D0
0
0
0
0
0
-1
-1
0
\(T^-1 Î^-1\)
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
1
\(U T^-2\)
A0E0L0I0M0H0T-2D1
0
0
0
0
0
0
0
1
\(U\)
A0E0L0I0M0H0T0D1
Dimensionless
0
0
0
0
0
0
1
0
\(T\)
A0E0L0I0M0H0T1D0
Time
0
0
0
0
0
0
2
0
\(T^2\)
A0E0L0I0M0H0T2D0
0
0
0
0
0
1
-1
0
\(T^-1 Î\)
A0E0L0I0M0H1T-1D0
0
0
0
0
0
1
0
0
\(H\)
A0E0L0I0M0H1T0D0
0
0
0
0
0
1
1
0
\(T Î\)
A0E0L0I0M0H1T1D0
0
0
0
0
1
-1
-3
0
\(M T^-3 Î^-1\)
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
0
0
\(M\)
A0E0L0I0M1H0T0D0
0
0
0
0
1
1
0
0
\(M Î\)
A0E0L0I0M1H1T0D0
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
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
0
0
\(L\)
A0E0L1I0M0H0T0D0
Length
0
0
1
0
0
0
1
0
A0E0L1I0M0H0T1D0
0
0
1
0
0
0
2
0
A0E0L1I0M0H0T2D0
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
0
0
\(L M\)
A0E0L1I0M1H0T0D0
0
0
2
0
0
-1
-2
0
\(L^2 T^-2 Î^-1\)
A0E0L2I0M0H-1T-2D0
0
0
2
0
0
-1
-3
0
\(L^2 T^-3 Î^-1 N^-1\)
A0E0L2I0M0H-1T-3D0
0
0
2
0
0
-1
0
0
\(L^2 Î^-1\)
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
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
1
0
0
\(L^2 Î\)
A0E0L2I0M0H1T0D0
0
0
2
0
0
1
1
0
\(L^2 T Î\)
A0E0L2I0M0H1T1D0
0
0
2
0
1
-1
-2
0
\(L^2 M T^-2 Î^-1\)
A0E0L2I0M1H-1T-2D0
0
0
2
0
1
-1
-3
0
\(L^2 M T^-3 Î^-1\)
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
\(L^3 M^-1 Î^-1\)
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
\(L^3 Î^-1\)
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
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
1
0
\(M^-1 T I\)
A0E1L0I0M-1H0T1D0
0
1
0
0
-1
1
2
0
\(M^-1 T^2 I Î\)
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
0
0
-1
0
4
0
\(M^-1 T^4 I^2\)
A0E2L0I0M-1H0T4D0
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
-3
0
0
0
0
0
\(L^-3 N\)
A1E0L-3I0M0H0T0D0
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
2020-04-17T16:16:24.403-07:00
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 2.1.2
TBD
http://www.qudt.org/doc/2020/04/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://qudt.org/doc/2020/03/DOC_VOCAB-QUANTITY-KIND-DIMENSION-VECTORS-v2.1.html
2.1.2
1
http://qudt.org/2.1/vocab/dimensionvector
QUDT Dimension Vector Vocabulary Version 2.1.2