Family-based case-control study of homotopic
connectivity in first-episode, drug-naive schizophrenia at rest.
VMHC: voxel-mirrored homotopic
connectivity; MeFG: medial frontal gyrus; r: Spearman's correlation coefficient.
It follows that [[omega].sub.3](h-Fix(f/p)) = [[omega].sub.3](Sp(1)) = (Z/24Z) [direct sum] Z and, because the inclusion S(H[e.sub.0]) [right arrow] S([H.sup.n+1]) is null homotopic
, that h-L(f/p) lies in the Z/24Z summand.
For [phi], [psi] [member of] [A.sub.U] (X), we say that [phi] and [psi] are homotopic
if there exists a compact acyclic homotopy [chi]: X x [0,1] [??] X linking [phi] and [psi] such that:
functional connectivity is an important parameter that reflects cerebral intrinsic functional architecture.
In address this issue, we compared the interhemispheric functional connectivity among schizophrenia patients with complete remission, patients with incomplete remission, and healthy controls using a newly developed method of voxel-mirrored homotopic
connectivity (VMHC).[sup] Previous studies have shown that the corpus callosum, which connects the two hemispheres, is damaged in patients with schizophrenia, and this damage is relatively stable with little change across different disease states.[sup],, Accordingly, we hypothesized that VMHC would be reduced in schizophrenia patients and that the degree of this reduction may not be associated with the disease state of the schizophrenia, i.e., the reduction in VMHC may serve as one trait marker of schizophrenia.
Manduca, "Highly undersampled magnetic resonance image reconstruction via homotopic
[l.sub.0]-minimization," IEEE Transactions on Medical Imaging, vol.
The transformed equations are solved analytically via homotopic
Two continuous functions from one topological space to another are called homotopic
. "An Illustrated Introduction to Topology and Homotopy" by academician and mathematician Sasho Kalajdzievski (University of Manitoba, Winnipeg, Canada) is a 485 page textbook that has as its specific focus topology and homotopy theory and applications.
The variation of homotopic
parameter within the range [0,1] amounts to a deformation that begins from an initial equation with known solution until it becomes the equation to be solved.
Manuel Oliveros-Munoz, "Nonlinear homotopic
continuation methods: a chemical engineering perspective review," Industrial & Engineering Chemistry Research, vol.
skeleton of [[PSI].sup.n] [right arrow] B.