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end{aligned}Moreover, we choose the origin in (A_2) so that the space of sections (H^0 (A_2, L_2) ) consists only of even sections (hence, we shall no longer be free to further change the origin by an arbitrary translation).
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This result makes it possible to construct Banach spaces of sections of some infinite-dimensional analytic sheaves.
Making appropriate choices of metric on M and in the vector bundles over M and using a Haar measure on G, we obtain Hilbert spaces of sections on which the G-action is unitary.
One is the parallel rectangular cross-section (B/D=15; 2d=B′; B: total width; D: height; B′: single width; 2d: space of the sections) and another is the flat box girder cross-section.
The sections of (H^0({mathcal {O}}_{A'} (2 Theta ))) are all even and ( | 2 Theta |) is the pull-back of the space of hyperplane sections of the Kummer surface ({mathcal {K}}subset {mathbb {P}}^3), the quotient ({mathcal {K}}= A' / {pm 1}).
No inflammatory cells were observed within the perivascular space of brain sections of wild-type mice following PTx or HBSS.
(For an example of Newtonian mechanics from the state-space approach, recall the space capsule of Section 3.1.1).
The set Ω τ : = τ ( A ) is called the address space of the section τ.
There are two distinguishing characteristics of this approach: (1) it operates within a low-dimensional expert-based feature space rather than the high-dimensional design space of cross-section parameters; and (2) it uses a numerical implementation of the direct strength method (DSM) for the objective function.
The degree of inflammation was scored on a 0 to 4+ scale, 0 representing no inflammation and 4+ representing involvement of the entire contour of the sub-arachnoid space of the section (data summarized in Table 1).
The degree of inflammation was scored on a 0 to 4+ scale, 0 representing no inflammation and 4+ representing involvement of the entire contour of the sub-arachnoid space of the section.
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