Vector fields and differential forms
... If u and v are vectors in V , and if a, b are real scalars, then the linear combination au + vv is also a vector in V . In general, linear combinations are formed via scalar multiplication and vector addition. Each vector in this space is represented as an arrow from the origin to some point in the ...
... If u and v are vectors in V , and if a, b are real scalars, then the linear combination au + vv is also a vector in V . In general, linear combinations are formed via scalar multiplication and vector addition. Each vector in this space is represented as an arrow from the origin to some point in the ...
Dynamics and Relativity - damtp
... d2 x/dt2 = 0. Then, for each of the transformations above, we also have d2 x 0 /dt2 = 0 which tells us that the particle also moves at constant velocity in S 0 . Or, in other words, if S is an inertial frame then so too is S 0 . The three transformations generate a group known as the Galilean group. ...
... d2 x/dt2 = 0. Then, for each of the transformations above, we also have d2 x 0 /dt2 = 0 which tells us that the particle also moves at constant velocity in S 0 . Or, in other words, if S is an inertial frame then so too is S 0 . The three transformations generate a group known as the Galilean group. ...
