-10.0 Q-10 L^2 M T^-4 I^-1 SI_L2MT-4I-1 -7.0 U-7 L T^-2 CGS_LT-2 L M T^-2 I^-1 SI_LMT-2I-1 QUDT Dimensions Vocabulary http://qudt.org/vocab/dimension 1.1 qudt-dimension 2010-12-30T21:08:12 The QUDT Ontologies are issued under a Creative Commons Attribution Share Alike 3.0 United States License. Attribution should be made to NASA Ames Research Center and TopQuadrant, Inc. All disciplines $LastChangedDate: 2011-06-01 13:34:19 -0700 (Wed, 01 Jun 2011) $ Basic treatment of quantities and units. No dimensional treatment in this graph. James E. Masters Dimension systems for physical quantities and units QUDT Dimensions Vocabulary Version 1.1 Ralph Hodgson QUDT Dimensional units is a vocabulary that extends QUDT Units with properties that support dimensional analysis. A dimension is a relationship between a quantity system, a quantity kind of that system, and one or more dimension vectors. 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 1 Science, Medicine and Engineering $Id: OVG_dimensions-qudt-(v1.1).ttl 4988 2011-06-01 20:34:19Z RalphHodgson $ -5.0 I-5 3.0 U3 Planck_MT-1Q-1 M T^-1 Q^-1 -7.0 Q-7 U^-1 M T^-3 CGS_U-1MT-3 -2.0 Θ-2 SI_LTI L T I -4.0 I-4 M T^-3 Θ^-4 MT-3Θ-4 -6.0 U-6 SI_LMT-2I-2 L M T^-2 I^-2 L^-1 T CGS-ESU_L-1T -6.0 Q-6 2.0 U2 SI_UJ U J -1.0 Θ-1 Planck_L2MT-2Q-1 L^2 M T^-2 Q^-1 -5.0 U-5 L^2 CGS_L2 L M T^-2 USCustomary_LMT-2 L^2 M T^-2 Θ^-1 N^-1 SI_L2MT-2Θ-1N-1 -7.0 I-7 M CGS-ESU_M U I SI_UI -5.0 Q-5 1.0 U1 SI_L-2M-1T3I2 L^-2 M^-1 T^3 I^2 -4.0 Θ-4 1.0 T1 L T^-1 CGS_LT-1 SI_MT-3I-1 M T^-3 I^-1 -4.0 U-4 -6.0 I-6 L CGS-ESU_L Θ Θ Temperature 5 -4.0 Q-4 L^2 M T^-2 Θ^-1 SI_L2MT-2Θ-1 0.0 U0 L^-2 M^-1 T^4 I^2 SI_L-2M-1T4I2 SI_L-1 L^-1 0.0 T0 -3.0 Θ-3 SI_L-2M-1T2I L^-2 M^-1 T^2 I L^-2 M^-1 T^3 Θ SI_L-2M-1T3Θ -3.0 U-3 10.0 N10 -3.0 Q-3 L^2 T^-2 CGS_L2T-2 U T^-2 SI_UT-2 L^-1 CGS_L-1 10.0 L10 -1.0 I-1 -10.0 L-10 0.5 L0.5 10.0 J10 -2.0 Q-2 -2.0 U-2 10.0 I10 SI_L-2MT-1 L^-2 M T^-1 L^3 CGS_L3 SI_LΘ-1 L Θ^-1 L^4 M T^-3 SI_L4MT-3 1 Length L L L^-3 SI_L-3 L CGS-EMU_L SI_L-2M-3T10I4 L^-2 M^-3 T^10 I^4 -1.0 U-1 U T^-1 CGS_UT-1 -9.0 U-9 -1.0 Q-1 SI_L-1T-2Θ-1 L^-1 T^-2 Θ^-1 -3.0 I-3 SI_L2M L^2 M M 2 Mass M L^0.5 M^0.5 T^-1 CGS-Gauss_L0.5M0.5T-1 U 0 Dimensionless U U T^-2 CGS_UT-2 U T^-1 SI_UT-1 M CGS-EMU_M U^-1 L^2 M T^-3 CGS_U-1L2MT-3 -8.0 U-8 -2.0 I-2 -10.0 T-10 SI_MT-1I-1 M T^-1 I^-1 SI_LM L M -10.0 U-10 L 1 L Length 7.0 T7 L^-3 M USCustomary_L-3M L^0.5 M^0.5 T^-2 CGS-EMU_L0.5M0.5T-2 -0.5 M-0.5 L^-2 M USCustomary_L-2M L^2 T Θ USCustomary_L2TΘ T I N^-1 SI_TIN-1 2.0 Θ2 SI_L3MT-4I-2 L^3 M T^-4 I^-2 L^-2 I SI_L-2I L^-1 M^-1 T^3 Θ USCustomary_L-1M-1T3Θ SI_MT-1 M T^-1 L^2 M T^-2 CGS_L2MT-2 L^0.5 M^0.5 T^-1 CGS-EMU_L0.5M0.5T-1 6.0 T6 SI_MT-3Θ-1 M T^-3 Θ^-1 SI_U-1I U^-1 I T^2 CGS_T2 L^0.5 M^0.5 CGS-EMU_L0.5M0.5 L^1.5 M^0.5 T^-1 CGS-Gauss_L1.5M0.5T-1 SI_L-2J L^-2 J L^-1 M T^-2 CGS_L-1MT-2 3.0 Θ3 SI_L2MT-2I-2 L^2 M T^-2 I^-2 M T^-2 SI_MT-2 L^2 M T^-1 CGS_L2MT-1 SI_T-1 T^-1 U CGS-ESU_U SI_U-1L4MT-3 U^-1 L^4 M T^-3 9.0 I9 9.0 T9 7 J J Luminous Intensity SI_L3M-1 L^3 M^-1 9.0 U9 SI_LΘ L Θ M T^-3 SI_MT-3 SI_L2MT-2I-1 L^2 M T^-2 I^-1 L^-1 T^2 CGS-ESU_L-1T2 SI_L-3M L^-3 M L^1.5 M^0.5 T^-2 CGS-Gauss_L1.5M0.5T-2 L^-1 M T^-1 CGS_L-1MT-1 L^3 USCustomary_L3 8.0 T8 T CGS-ESU_T I I Electric Current 4 L^-2 T I SI_L-2TI 8.0 I8 L M T^-3 I^-1 SI_LMT-3I-1 L^-3 M CGS_L-3M 0.0 Θ0 8.0 U8 L^2 Θ SI_L2Θ L^-3 N SI_L-3N SI_M-1T2IΘ M^-1 T^2 I Θ L^-1 M T^-1 USCustomary_L-1MT-1 1.0 Θ1 T^-1 CGS_T-1 SI_L3M-1T-2 L^3 M^-1 T^-2 SI_L3MT-3I-1 L^3 M T^-3 I^-1 L^-1 M CGS_L-1M 3.0 T3 7.0 U7 7.0 J7 7.0 I7 L^0.5 M^0.5 T^-1 CGS-ESU_L0.5M0.5T-1 SI_L-1MT-1 L^-1 M T^-1 -8.0 T-8 L^0.5 M^0.5 T^-2 CGS-ESU_L0.5M0.5T-2 L^-2 M^-1 T^3 Θ USCustomary_L-2M-1T3Θ L^2 M^-1 T^2 I^2 SI_L2M-1T2I2 USCustomary_L2MT-2 L^2 M T^-2 L^3 T^-2 SI_L3T-2 6.0 Θ6 0.0 Q0 SI_L3MT-2 L^3 M T^-2 2.0 T2 6.0 U6 SI_M-1N M^-1 N 6.0 J6 SI_L2T-2Θ-1 L^2 T^-2 Θ^-1 SI_L2MT-2N-1 L^2 M T^-2 N^-1 SI_M-1T3Θ M^-1 T^3 Θ 6.0 I6 SI_MT-2I-1 M T^-2 I^-1 U L^-2 J SI_UL-2J L^-3 M^-1 T^4 I^2 SI_L-3M-1T4I2 L^2 T^-2 Θ^-1 USCustomary_L2T-2Θ-1 -9.0 N-9 L T^-1 USCustomary_LT-1 -7.0 T-7 L^2 M T^-3 USCustomary_L2MT-3 L^2 USCustomary_L2 7.0 Θ7 1.0 Q1 9.0 J9 5.0 I5 5.0 U5 5.0 T5 L^1.5 M^0.5 T^-2 CGS-EMU_L1.5M0.5T-2 -9.0 Q-9 Amount of Substance 6 N N M Θ SI_MΘ L T^-2 USCustomary_LT-2 2.0 Q2 4.0 Θ4 SI_UL2 U L^2 8.0 J8 L^2 T SI_L2T 4.0 T4 -8.0 Q-8 SI_L-1MT-2 L^-1 M T^-2 4.0 I4 4.0 U4 T I SI_TI L^1.5 M^0.5 T^-1 CGS-EMU_L1.5M0.5T-1 -10.0 N-10 M Mass 2 M L I^-1 SI_LI-1 3.0 Q3 L^-1 T^2 CGS-EMU_L-1T2 M^-1 T I SI_M-1TI -9.0 T-9 SI_L-1MT-3 L^-1 M T^-3 L^-2 M CGS_L-2M 5.0 Θ5 SI_L3T-1 L^3 T^-1 Θ N SI_ΘN 2.0 J2 -5.0 T-5 -2.0 L-2 4.0 Q4 L^1.5 M^0.5 T^-1 CGS-ESU_L1.5M0.5T-1 -5.0 J-5 10.0 U10 L^-2 M^-1 T^2 SI_L-2M-1T2 3.0 N3 2.0 I2 -5.0 N-5 T CGS-EMU_T 2.0 L2 SI_T2 T^2 3.0 M3 L^2 M T^-3 Planck_L2MT-3 -6.0 T-6 -1.0 L-1 SI_L-1M L^-1 M L^-1 M USCustomary_L-1M -6.0 J-6 5.0 Q5 T Time 3 T 3.0 I3 -6.0 N-6 U CGS-EMU_U L^-1 M^-1 T^3 Θ SI_L-1M-1T3Θ 2.0 N2 3.0 L3 2.0 M2 3.0 J3 -3.0 T-3 SI_L2 L^2 L^2 M T^-2 Planck_L2MT-2 -10.0 J-10 0.0 I0 6.0 Q6 9.0 Θ9 U^-1 M T^-3 SI_U-1MT-3 -7.0 J-7 5.0 N5 Dimensionless U U 0 -7.0 N-7 L^-1 M^-1 T^2 I SI_L-1M-1T2I M^-1 T^3 Θ USCustomary_M-1T3Θ L^-1 M T^-2 Planck_L-1MT-2 4.0 J4 1.0 M1 4.0 L4 CGS System Base Dimensions 8.0 Θ8 5.0 L5 L^3 SI_L3 -4.0 T-4 7.0 Q7 -8.0 J-8 -8.0 N-8 1.0 I1 SI_TΘ T Θ L^-1.5 M^0.5 CGS-EMU_L-1.5M0.5 Planck_T-1 T^-1 4.0 N4 5.0 J5 0.0 M0 L^-1 T^2 CGS-Gauss_L-1T2 L^3 N^-1 SI_L3N-1 L^-0.5 M^0.5 T^-1 CGS-Gauss_L-0.5M0.5T-1 8.0 Q8 L^2 M T^-2 Θ^-1 USCustomary_L2MT-2Θ-1 -6.0 L-6 -9.0 J-9 -1.0 J-1 SI_T-1N T^-1 N L^3 T^-1 USCustomary_L3T-1 6.0 L6 -10.0 I-10 M Θ USCustomary_MΘ -1.0 T-1 -2.0 M-2 L^-2 T^2 CGS-ESU_L-2T2 U L^-2 M^-1 T^3 J SI_UL-2M-1T3J -1.0 N-1 -5.0 L-5 SI_L-1I L^-1 I L^2 Θ USCustomary_L2Θ -2.0 J-2 USCustomary_L-1MT-2 L^-1 M T^-2 9.0 Q9 N^-1 SI_N-1 SI_L2MT-3I-2 L^2 M T^-3 I^-2 L^-0.5 M^0.5 T^-1 CGS-EMU_L-0.5M0.5T-1 U T^-1 USCustomary_UT-1 -2.0 T-2 L^-2 M SI_L-2M L^-4 M^-2 T^4 SI_L-4M-2T4 7.0 L7 -3.0 M-3 L^-1 T CGS-EMU-L-1T T Time T 3 10.0 Θ10 T^2 USCustomary_T2 -2.0 N-2 10.0 T10 U CGS-Gauss_U -3.0 J-3 Planck_LT-1 L T^-1 10.0 M10 L^2 M T^-3 CGS_L2MT-3 -4.0 L-4 8.0 L8 SI_L2MT-3I-1 L^2 M T^-3 I^-1 U T^-2 USCustomary_UT-2 Dimensionless U 0 U 0.0 J0 L^3 M^-1 Θ^-1 SI_L3M-1Θ-1 -10.0 M-10 L^2 M CGS_L2M -3.0 N-3 1.0 N1 0.5 M0.5 1 Length L L Θ Θ 5 Temperature T CGS-Gauss_T -3.0 L-3 9.0 L9 -4.0 J-4 1.0 J1 SI_L2Θ-1 L^2 Θ^-1 US Customary System Base Dimensions -1.0 M-1 0.0 N0 10.0 Q10 Planck System Base Dimensions -4.0 N-4 SI_LMT-1 L M T^-1 M T^-1 USCustomary_MT-1 M T^-1 CGS_MT-1 Planck_LMT-1 L M T^-1 -9.0 Θ-9 L^2 T USCustomary_L2T SI System Base Dimensions -6.0 M-6 Planck_T-1Q T^-1 Q SI_LT-2 L T^-2 SI_LMT-3Θ-1 L M T^-3 Θ^-1 L^2 M T^-1 N^-1 SI_L2MT-1N-1 L M T^-1 CGS_LMT-1 2 M M Mass L M T^-2 SI_LMT-2 Planck_LMT-2 L M T^-2 SI_L-1M-2T7I3 L^-1 M^-2 T^7 I^3 -7.0 M-7 Planck_L3 L^3 -1.5 L-1.5 L^3 M T^-2 USCustomary_L3MT-2 SI_LT-1 L T^-1 -0.5 L-0.5 1.5 L1.5 L T^-2 Planck_LT-2 -9.0 L-9 -10.0 Θ-10 L M T^-2 CGS_LMT-2 L^-1.5 M^0.5 CGS-ESU_L-1.5M0.5 M T^-3 USCustomary_MT-3 U L^2 CGS_UL2 Planck_L2 L^2 L^-1 T CGS-Gauss_L-1T -4.0 M-4 L^2 M T^-3 SI_L2MT-3 L^-0.5 M^0.5 T^-2 CGS-ESU_L-0.5M0.5T-2 M T^-3 CGS_MT-3 L^3 M T^-2 N^-1 SI_L3MT-2N-1 9.0 M9 -8.0 L-8 SI_L-2M-1T3I L^-2 M^-1 T^3 I 1 Length L L L^0.5 M^0.5 CGS-ESU_L0.5M0.5 M T^-2 USCustomary_MT-2 -5.0 M-5 L^3 Θ^-1 SI_L3Θ-1 M T^-2 CGS_MT-2 SI_L2MT-2 L^2 M T^-2 L^-0.5 M^0.5 T^-1 CGS-ESU_L-0.5M0.5T-1 SI_L-3TI L^-3 T I 8.0 M8 -7.0 L-7 Mass M M 2 L^2 I SI_L2I U^-1 L^2 M T^-3 SI_U-1L2MT-3 L^2 M T^-1 SI_L2MT-1 SI_L-1MT-2Θ-1 L^-1 M T^-2 Θ^-1 -5.0 Θ-5 L^2 M T^-1 Q^-2 Planck_L2MT-1Q-2 L^-3 M Planck_L-3M M T^-3 Θ^-1 USCustomary_MT-3Θ-1 7.0 N7 L^-1 Θ^-1 SI_L-1Θ-1 7.0 M7 SI_L-1TI L^-1 T I L^2 T^-1 SI_L2T-1 6.0 N6 Planck_L-2T-1Q L^-2 T-1 Q 4 Q Electric Charge Q M CGS-Gauss_M -6.0 Θ-6 L^-2 T^2 CGS-EMU_L-2T2 U U 0 Dimensionless L T^-1 CGS-EMU_LT-1 6.0 M6 L^4 M^2 T^-4 SI_L4M2T-4 -8.0 M-8 5.0 M5 0.0 L0 L M CGS_LM -7.0 Θ-7 L^2 T^-2 USCustomary_L2T-2 L CGS-Gauss_L SI_M-1T4I2 M^-1 T^4 I^2 L^3 T^-1 CGS_L3T-1 Temperature 4 Θ Θ 9.0 N9 T Time T 3 Time T 3 T -8.0 I-8 SI_L2T-3 L^2 T^-3 L^2 T I SI_L2TI 4.0 M4 L^-1.5 M^0.5 T^-1 CGS-EMU_L-1.5M0.5T-1 1.0 L1 -8.0 Θ-8 L M T^-3 Θ^-1 USCustomary_LMT-3Θ-1 L^2 T^-1 USCustomary_L2T-1 T^-1 Θ^-1 SI_T-1Θ-1 8.0 N8 L^1.5 M^0.5 T^-2 CGS-ESU_L1.5M0.5T-2 SI_MN-1 M N^-1 L^2 T^-2 SI_L2T-2 T^-1 Θ SI_T-1Θ -9.0 I-9 -9.0 M-9 L^2 T CGS_L2T