نتایج جستجو برای: q bitopological space
تعداد نتایج: 604358 فیلتر نتایج به سال:
3D q-space can be viewed as the surface of a 4D hypersphere. In this paper, we seek to develop a 4D hyperspherical interpretation of q-space by projecting it onto a hypersphere and subsequently modeling the q-space signal via 4D hyperspherical harmonics (HSH). Using this orthonormal basis, we analytically derive familiar q-space metrics and introduce a novel hyperspherical diffusivity measure. ...
1. Notation and notions We repeat some definitions and facts, we need in our exposition but for special case. Let Q be an open set belonging to Rn. By D(Q) we denote the space {φ ∈ C∞(Q); suppφ ⊂ Kφ}, Kφ is a compact set in Q which depends on φ. D′(Q) is the space of continuous linear functionals on D(Q) the space of distributions. Every f ∈ Lloc(Q) defines a distribution, called regular distri...
Using the isomorphism from [3] between the category Pries of Priestley spaces and the category PStone of pairwise Stone spaces we construct a Vietoris hyperspace functor on the category PStone related to the Vietoris hyperspace functor on the category Pries [4, 18, 24]. We show that the coalgebras for this functor determine a semantics for the positive fragment of modal logic. The sole novelty ...
Introduction: One of the current applications is the depiction of pancreatic cancer. Though DWI can be applied here, the full delineation of the tumor remains challenging. Q-space imaging, an alternative diffusion measurement, is currently applied using large diffusion weightings to access non-Gaussian diffusion in the high b-value regime and has so far only been implemented for CNS application...
We consider the problem of computing the q-gram profile of a string T of size N compressed by a context-free grammar with n production rules. We present an algorithm that runs in O(N ↵) expected time and uses O(n+kT,q) space, where N ↵ qn is the exact number of characters decompressed by the algorithm and kT,q N ↵ is the number of distinct q-grams in T . This simultaneously matches the curr...
3D q-space can be viewed as the surface of a 4D hypersphere. In this paper, we seek to develop a 4D hyperspherical interpretation of q-space by projecting it onto a hypersphere and subsequently modeling the q-space signal via 4D hyperspherical harmonics (HSH). Using this orthonormal basis, we analytically derive several quantitative indices and numerically estimate the diffusion ODF. Importantl...
To provide real-time service or engineer constrained-based paths, networks require the underlying routing algorithm to be able to find low-cost paths that satisfy given quality-of-service constraints. However, the problem of constrained shortest (least-cost) path routing is known to be NP-hard, and some heuristics have been proposed to find a nearoptimal solution. However, these heuristics eith...
We wish to report here on a recent approach [1] to the non-commutative calculus on q-Minkowski space which is based on the reflection equations (RE) with no spectral parameter. These are considered as the expression of the invariance (under the coaction of the q-Lorentz group) of the commutation properties which define the different q-Minkowski algebras. This approach also allows us to discuss ...
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