Physics Derivation Graph / navigation Sign in

Return to navigation page or return to list of expressions

Derivations that use this expression:

LHS AST from SymPy:
 RHS AST from SymPy:

Symbols in Expression \(\gamma^2 (x - v t)^2 + y^2 + z^2=c^2 \gamma^2 \left( t + \frac{ 1 - \gamma^2 }{ \gamma^2 } \frac{x}{v} \right)^2\)

See also scalar symbols, vector symbols, matrix symbols.

ID latex name description reference dimension: time dimension: length dimension: mass dimension: electric charge dimension: luminous intensity dimension: amount of substance dimension: temperature scope domain
0000001467 t
\(t\)		 time https://en.wikipedia.org/wiki/Time_in_physics 1 0 0 0 0 0 0 real any
0000001357 v
\(v\)		 velocity https://en.wikipedia.org/wiki/Velocity -1 1 0 0 0 0 0 real any
0000001790 \gamma
\(\gamma\)		 Lorentz factor https://en.wikipedia.org/wiki/Lorentz_factor 0 0 0 0 0 0 0 real any
0000004567 c
\(c\)		 speed of light in vacuum https://en.wikipedia.org/wiki/Speed_of_light and https://www.wikidata.org/wiki/Q2111 and https://id.loc.gov/authorities/subjects/sh85076878.html -1 1 0 0 0 0 0 real any
0000005647 y
\(y\)		 position https://en.wikipedia.org/wiki/Position_(geometry) 0 1 0 0 0 0 0 real any
0000006728 z
\(z\)		 position https://en.wikipedia.org/wiki/Position_(geometry) 0 1 0 0 0 0 0 real any
0000004037 x
\(x\)		 position https://en.wikipedia.org/wiki/Position_(geometry) 0 1 0 0 0 0 0 real any

Add Symbol to Expression \(\gamma^2 (x - v t)^2 + y^2 + z^2=c^2 \gamma^2 \left( t + \frac{ 1 - \gamma^2 }{ \gamma^2 } \frac{x}{v} \right)^2\)

You must be logged in to add a symbol.

Remove Symbol used in Expression \(\gamma^2 (x - v t)^2 + y^2 + z^2=c^2 \gamma^2 \left( t + \frac{ 1 - \gamma^2 }{ \gamma^2 } \frac{x}{v} \right)^2\)

You must be logged in to remove a symbol.

Operations in Expression \(\gamma^2 (x - v t)^2 + y^2 + z^2=c^2 \gamma^2 \left( t + \frac{ 1 - \gamma^2 }{ \gamma^2 } \frac{x}{v} \right)^2\)

See also all operations.

There are no operations associated with this expression.

Add operation used in Expression

You must be logged in to add a symbol.

There are no operations associated with this expression, so there's nothing to remove.

Relation in Expression \(\gamma^2 (x - v t)^2 + y^2 + z^2=c^2 \gamma^2 \left( t + \frac{ 1 - \gamma^2 }{ \gamma^2 } \frac{x}{v} \right)^2\)

 Relation is =

Change Relation used in Expression

You must be logged in to change a relation.

Edit Expression Latex and metadata

You must be logged in to edit the expression.

Edit Expression SymPy and Lean

You must be logged in to edit the expression.

"Delete Expression" isn't available because this expression is used in one or more derivations.
timing of Neo4j queries: