Base vectors · equation side screening
Dimension consistency
Inputs
Entered exponent for SI base mass dimension on the left equation side.
Entered exponent for SI base length dimension on the left equation side.
Entered exponent for SI base time dimension on the left equation side.
Entered exponent for SI base electric-current dimension on the left equation side.
Entered exponent for SI base thermodynamic-temperature dimension on the left equation side.
Entered exponent for SI base amount-of-substance dimension on the left equation side.
Entered exponent for SI base luminous-intensity dimension on the left equation side.
Entered exponent for SI base mass dimension on the right equation side.
Entered exponent for SI base length dimension on the right equation side.
Entered exponent for SI base time dimension on the right equation side.
Entered exponent for SI base electric-current dimension on the right equation side.
Entered exponent for SI base thermodynamic-temperature dimension on the right equation side.
Entered exponent for SI base amount-of-substance dimension on the right equation side.
Entered exponent for SI base luminous-intensity dimension on the right equation side.
Results
A wrong number here has physical consequences. Check the method and the boundary below before using this result, and have it reviewed by someone accountable for the design.
Entered dimensions match (1=yes, 0=no)
1
—Mass exponent difference (left − right)
0
—Length exponent difference (left − right)
0
—Time exponent difference (left − right)
0
—Electric current exponent difference (left − right)
0
—Temperature exponent difference (left − right)
0
—Amount of substance exponent difference (left − right)
0
—Luminous intensity exponent difference (left − right)
0
—Compare entered exponent vectors over SI base dimensions: [M, L, T, I, Θ, N, J]left − [M, L, T, I, Θ, N, J]right
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion
Method
Formula, when it applies, and when it does not
Compare the entered SI base-dimension exponents for two equation sides and expose any difference vector without parsing formulas.
Compare entered exponent vectors over SI base dimensions: [M, L, T, I, Θ, N, J]left − [M, L, T, I, Θ, N, J]right
When
- Entered exponent vectors
- Selected SI base dimensions
- Equality comparison only
- No formula parsing
Don’t
- This compares only the two entered base-dimension vectors. It does not parse symbols or equations, infer a quantity’s dimensions, convert units, assess constants, prove numerical correctness, validate signs or boundary conditions, or establish physical-model validity.