| 1. | Two likelihood functions are equivalent if one is a scalar multiple of the other.
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| 2. | Sums and scalar multiples of skew-symmetric matrices are again skew-symmetric.
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| 3. | For example, take the scalar multiples of the identity matrix by integer powers of 2.
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| 4. | Since is unitary, this scalar multiple is uniquely determined and hence such an operator is unique.
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| 5. | A nonzero scalar multiple of an identity matrix is called a " scalar " matrix.
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| 6. | A one dimensional vector subspace consists of a non-zero vector and all of its scalar multiples.
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| 7. | (which arises in probability theory as a scalar multiple of the imaginary unit is enclosed within the curve.
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| 8. | This f _ { \ lambda } ( \ theta ) is the scalar multiple mentioned in the previous paragraph.
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| 9. | After all, any scalar multiple of some original "'? "'would also satisfy the equation.
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| 10. | This implies, among other things, that the Fubini Study metric remains unchanged up to a scalar multiple under the Ricci flow.
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