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where (T_{i}^{j}) is the transformation matrix to move frame j to align with frame i,T i and T j are the homogeneous transpose matrix for the camera at frame i and j, respectively, and (R_{i}^{j}) and (T_{i}^{j}) are the rotation and translation matrix of (T_{i}^{j}), respectively.
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Each molecule was then moved frame by frame for 242 frames to make the cartoon.
In "Scientific Discovery, Frame by Moving Frame," James Gorman introduces ScienceTake, a new regular series on the Science pages.
Meanwhile, the Bowes Museum, in county Durham, needs to commission a special moving frame for a magnificent 15th century altarpiece that would let the paintings on the back of the panels be seen by the public for the first time.
The moving frame carries a central stationary (relative to the frame) mirror, called a master mirror.
In the moving frame, this hidden momentum also gives rise to an increasing angular momentum.
In our context, stochastic parallel transport provides a canonical moving frame on the path space.
This is a typical work in which the moving frame method is used effectively.
Using the moving frame method, the errors and the variations were quantified, and the error-variation equations were established.
So instead of twisting the magnet, the torque in the moving frame simply feeds the increase in hidden angular momentum.
Finally, the moving frame will provide aneffective algorithm of computation for this differential geometry in infinite dimensions.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com