Sentence examples for dimensions in the complex from inspiring English sources
To the best of our knowledge, there are few papers discussing combination synchronization among two drive systems and one response system with different dimensions in the complex space.
With metagenomic technologies new dimensions in the characterization of complex microbial communities have been reached.
Dimensions of the complex in the membrane plane were ∼28 nm by 24 nm.
When x and y range over the field of reals, x²+y²=1 describes the ordinary Euclidean circle in two dimensions, but when the variables range over the complex numbers this equation describes the complex counterpart of the circle, visualizable as a two-dimensional surface embedded in four real dimensions (regarding the complex plane as having two real dimensions).
As we noted above [see (4.3)], for (N=2,3,4) the group dimension range that arises in the complex case overlaps with the group dimension range studied in the smooth situation in Sect.
We have begin{aligned} N^2+2Ndimension range that arises in the complex case, for (Nge 5) lies strictly below the dimension range investigated in the classical smooth case and therefore is not in any way covered by the results discussed in Sect.
The dimensions of the dynamical nodes in the complex network are different.
We use to represent an -by- array matrix defined in the complex Euclidean space of dimension.
In the complex version, stimuli from the irrelevant dimension were selected equally often.
Peirce, who was an influential proponent of Sir William Hamilton's ideas, did more than anyone else to develop interest in quaternions (Hamilton's generalization of complex numbers to three dimensions) in the United States.
