| 1. | Elementary examples of Lie groups are translations, rotations and scalings.
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| 2. | The analysis here yields the scalings and orders of magnitude.
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| 3. | Similar to the LRL vector itself, the binormal vector can be defined with different scalings and symbols.
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| 4. | Compute all the vector additions, scalings, inner products and cross products from the coordinates using the following axioms.
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| 5. | :The problem with GIFs is that you can only create proper scalings of them, by using the original material.
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| 6. | Such groups as all translations and all scalings of the image are not compact, as they allow arbitrarily big transformations.
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| 7. | 't Hooft found a simple formula for the scalings of the Wilson and't Hooft operators in the various phases.
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| 8. | The similarity theory allows deriving non-trivial power-law scalings for the energy of fast electrons in underdense and overdense plasmas.
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| 9. | Such a mollifier can be obtained, for example, by taking the bump function \ Phi from the previous section and performing appropriate scalings.
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| 10. | In geometry, two subsets of a Euclidean space have the same shape if one can be transformed to the other by a combination of uniform scalings.
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