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"The permanent solution is continuous water in the Indus and for it to flow into the sea," said Mr. Mallah, the fisherman who welcomed the floodwaters.
Moreover, we prove that the multi-valued solution is continuous in the whole space.
However, the algorithm mentioned above cannot be applied directly to our model because the bat location solution is continuous.
It turns out that in this case, it is necessary to prescribe initial conditions of a certain structure to guarantee that the solution is continuous on [ 0, 1 ].
By definition, this solution is absolutely continuous, and as F is jointly continuous, the derivative of the solution is continuous and exists everywhere.
When (phi(0) in D(A^{beta} )) with (beta>1+gamma), it follows from Remark 2.8 that the mild solution is continuous at (t = 0).
Similar(48)
As the solutions are continuous, they will convert to the discrete solutions by random number generation in order to be usable in the problem.
Since we defined the eigenvalues to satisfy |M1 t)| > |M2 t)| > |M3 t)| at each time t, jumps of the eigenvalues occurred at times when the order of the eigenvalues changed (Fig. 9), although the moment tensor solutions were continuous with time (Fig. 8).
The solutions are continuous functions of both space and time.
The solutions were continuous numeric values, centered on 1, because the gene content number could be 0, 1, or 2. Gene content for a biallelic locus cannot be less than 0 or greater than 2, so we scaled the values, adjusted by mean and SE, and truncated data to a range between 0 and 2 to keep gene content predictions in a realistic range of values.
This result shows that (1.5) has a unique periodic solution which is continuous in parameter.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com