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However, in the limit point case, whether the set of (L^2) solutions near infinity is 0 or 1 dimensional can be z dependent.
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The approach proposed above, which is one- and two-dimensional instead of being multi-dimensional, can be formulated and solved to produce the probability density evolution (PDF) of the random variable D RAC, which is termed as the probability density evolution method (PDEM).
When, is stretched along the in-phase (quadrature) component and it becomes one-dimensional for ; when, a correlation between and is introduced and for, even if it is two-dimensional, can be reduced to a one-dimensional constellation by a simple rotation.
Using axis-symmetric properties, many three dimensional problems can be solved efficiently using two dimensional axis-symmetric coordinates.
Therefore, a high dimensional problem can be transformed as a low, middle or combination of middle dimensional function.
I realize that 4 and up dimensional spaces can be described mathematically although we can't really imagine them.
Based on a comparison to the average diameter of a naked NPM particle (~50 nm), the dimensional increment can be attributed to the "protein coat" (Fig. 1G).
Then, a high dimensional problem can be decomposed into separable and non-separable components.
This Dimensional analysis can be accomplished by using Buckingham π-theorem.
Graphene, a two dimensional material, can be modified its properties by defects engineering.
The uses of dimensional groups can be loosely grouped under two headings: simplification and model development.
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