The seller, taking the affine
fee schedule ([t.sub.0], [t.sub.1]) charged by the platform as given, would choose [p.sub.c] to maximize her profit:
In our paper, what we mean by tropical polarized K3 surface is a topological space B homeomorphic to the sphere [S.sup.2], with an affine
structure away from certain finite points Sing(B), with a metric which is MongeAmpere metric g with respect to the affine
structure on B \ Sing(B).
Demons, and affine
algorithms from Plastimatch were used.
The dinoflagellates Alexandrium catenella (strain AC 0206 [phrase omitted]) and Alexandrium affine
(strain At37) and the raphidophytes Chattonella marina and Heterosigma akashiwo (isolated from Ago Bay, in 2013) were cultured at 20[degrees]C in autoclaved F/2 medium, under a 12-h L:12-h D photoperiod.
In the present paper we study the affine-type Coxeter group [[??].sub.n] and find the Hilbert series (or spherical growth series) of the associated right-angled affine
Artin monoid M([[??].sup.[infinity].sub.n]).
As an affine
transformation is a nonsingular linear transformation followed by a translation, we regard the mapping relationship between two images as an affine
registration: Proposed programe was started with the global alignment of reference image M and target image N using affine
bundle [T.sup.k] M [[[pi].sub.k-1] over [right arrow]] [T.sup.k-1] M was used in the papers  and , in the study of affine
Hamiltonians of order k, a natural dual counterpart of Lagrangians of order k.
[Dev.sup.i,i.sub.ai] = 0, if [Dev.sup.i,j.sub.ai] < [T.sub.AC] and this establishes an affine
Here, we find the image of the affine
symplectic Lie algebra [g.sub.n] from the Leibniz homology H[L.sub.*]([g.sub.n]) to the Lie algebra homology [H.sup.Lie.sub.*] ([g.sub.n]).
Regardless of whether the above-mentioned modelling approaches are adopted, the T-S fuzzy model as an approximator can be divided into two categories: homogeneous fuzzy model and affine
projection algorithm (APA)  is widely used in ANC systems because it offers higher convergence speed than LMS algorithms and presents good stability and robustness.
To correct the motion and deformation of DWI, intensity-based affine
and nonrigid image registration algorithms have been developed [28-30].
Contractive similarities are affine
transformations of the form [F.sub.i] = [r.sub.i] [D.sub.i] x+[b.sub.i], where r is a scalar such that 0< [r.sub.i] < 1, [D.sub.i] is the matrix of rotations and [b.sub.i] is a vector in [R.sup.2] (Barnsley 1993).
semigroup is a finitely generated submonoid of Nr for some positive integer r.