| 1. | Vector addition and scalar multiplication are defined in the obvious manner.
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| 2. | This discrete set of vectors must be closed under vector addition and subtraction.
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| 3. | Thus we have shown the reciprocal lattice is closed under vector addition and subtraction.
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| 4. | For instance, it is clear the dot and cross products are distributive over vector addition:
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| 5. | The desired heading was then fed into a vector addition with the instinctive obstacle avoidance layer.
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| 6. | Euclidean transformations can be described by vector addition and rotor multiplication for translations and rotations respectively.
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| 7. | The vector addition of the individual bond dipole moments results in a net dipole moment for the molecule.
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| 8. | The translation group acting on the Hilbert space of position eigenstates is vector additions in the Euclidean space.
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| 9. | The first four axioms are those of " V " being an abelian group under vector addition.
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| 10. | The addition here is the vector addition of vector algebra and the resulting velocity is usually represented in the form
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