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And they must solve all these problems jointly, as the optimal answers to one problem depends on the other problems.
In one of these problems the solution of an initial/boundary value problem depends on the boundary data in a discontinuous, fractal, manner.
Due to the fact that after applying the Lagrangian the final optimization problem depends on the inner product in the form of x i T x j one can use the so-called kernel trick, getting the inner product of a kernel K (x i, x j ) = ϕ (x i ) T ϕ (x j ) without actually performing the real transformation from the input feature space into a higher dimensional one.
The scope of the problem depends on who is describing it.
How much it's a problem depends on what you normally plug into your machine.
Wildlife experts say that how you address the problem depends on the extent of the invasion.
Whether you think the current shortage of donor sperm is a "crisis" or merely a "problem" depends on your perspective.
The magnitude of the swallowing problem depends on the extent of insult and the capacity of the patient to compensate.
The solution to this problem depends on law, especially the law of property, contracts, corporations, finance, and bankruptcy.
Ultimately, resolution of the Cyprus problem depends on the powers most closely involved: the Greek-Cypriot government and Turkey.
The performance of a DT in a complex decision problem depends on the efficiency of its construction.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com