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Int J Solids Struct 2000 37 6623 6634, Mukherjee S. Finite parts of singular and hypersingular integrals with irregular boundary source points.
The relationship between Finite Parts (FPs) and Cauchy Principal Values (CPVs) (when they exist) of certain integrals has been previously studied by Toh and Mukherjee [Toh K-C, Mukherjee S. Hypersingular and finite part integrals in the boundary element method.
Given that assumption, supposedly finite distances (or times) can be decomposed into an infinity of finite parts with no first (or alternatively, last) one.
And neither does it follow from any other of the divisions that Zeno describes here; four, eight, sixteen, or whatever finite parts make a finite whole.
Now, if as a pluralist might well accept such parts exist, it follows from the second part of his argument that they are extended, and, he apparently assumes, an infinite sum of finite parts is infinite.
Nevertheless, the experience of some passions is part of the human condition, insofar as humans are not God, but merely finite parts of the whole substance of the universe.
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Because time is finite, part-time students often have limited time available to focus on their coursework and academic experiences.
But I gave only a finite part of myself to each of these men; work remained my priority, keeping me on the road 280 days a year.
A finite part of a graphite sheet is often called "graphene".
The numerical approach is a boundary element method based on the Hadamard finite part.
Then, as D is to CD, so is E to some finite part of B. This part will necessarily be moved by A in the time CD.
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