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DiffTime — Differentiation with respect to time [mathematica]

DiffTime[expr]

DiffTime[v,a]

expr: algebraic expression, equality involving algebraic expressions, or a set, list, table, or array of algebraic expressions

v: Mambo vector

a: name of defined triad

The function DiffTime returns the derivative with respect to time of expr. If expr depends explicitly on time, a variable name associated with time must be declared using the SetTime function.

In the second form, the function DiffTime returns the derivative of the vector v relative to the triad a.

Note that a time derivative of a variable is denoted by a superscribed prime to the right of the variable name.

Restart; DeclareTriads[a,b]; DefineTriads[a,b,theta,3]; DeclareStates[theta]; w:=MakeTranslations[{a,1},{b,2}]; DiffTime[w,a]

{ Type → "->" Vector , Size → "->" 1 , 1 → "->" { Coordinates → "->" { - theta ′ , 0 , 0 } , Triad → "->" b } }

DiffTime[{theta,3*theta^2}]

{ theta ′ , 6 ⁢ theta ⁢ theta ′ }


Toolbox functions