Moreover, the optical rotation of a compound may be non-linearly dependent on its enantiomeric excess because of aggregation in solution.
12.
Then two columns will never be linearly dependent because three columns could be linearly dependent with the minimum distance of the code as 3.
13.
Then two columns will never be linearly dependent because three columns could be linearly dependent with the minimum distance of the code as 3.
14.
On any & ldquo; decent & rdquo; metric space, the uniformly distributed measures form a one-parameter linearly dependent family:
15.
As this equation shows, besides the medium length and attenuation coefficient, attenuation is also linearly dependent on the frequency of the incident ultrasound beam.
16.
What Lagrange really says is that the vectors ( 2x, 2y ) and ( 6x ^ 5, 6y ^ 5 ) are linearly dependent.
17.
Thus, a set of linearly dependent vectors is redundant in the sense that there will be a linearly independent subset which will span the same subspace.
18.
These exceptions can occur only when the overdetermined system contains enough linearly dependent equations that the number of independent equations does not exceed the number of unknowns.
19.
If v = 0, it is clear that we have equality, and in this case u and v are also linearly dependent, regardless of u.
20.
Remove those items with c _ i = 0, those \ boldsymbol { H _ i } with c _ i \ neq 0 are linearly dependent.
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