Frontiers in Neurology, 2018 Objectives: To review the clinical records of patients that exhibited the clinical features of both vestibular migraine (VM) and Ménière's disease (MD) during each episodic vertigo attack and to discuss the possible pathophysiology of such combination of
Toshihisa Murofushi +3 more
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A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
SIAM Journal on Matrix Analysis and Applications, 2005 In this paper we introduce metric-based means for the space of positive-definite matrices. The mean associated with the Euclidean metric of the ambient space is the usual arithmetic mean.
Maher Moakher
exaly +2 more sources
Common Sense and Common Disease. The Pandemic and the Expansion of the Non-real [PDF]
Phainomena, 2021 The starting point of this article is the intersection of two global phenomena—the pandemic and the internet. The pandemic and its possible social consequences are viewed from the perspective of two differences that constitute the human world: the ...
Victor Molchanov
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Learning Constitutive Relations using Symmetric Positive Definite Neural Networks [PDF]
Journal of Computational Physics, 2020 We present the Cholesky-factored symmetric positive definite neural network (SPD-NN) for modeling constitutive relations in dynamical equations. Instead of directly predicting the stress, the SPD-NN trains a neural network to predict the Cholesky factor ...
Kailai Xu, D. Huang, Eric F Darve
semanticscholar +1 more source
Kaplan and Marti on definite descriptions [PDF]
Омский научный вестник: Серия "Общество. История. Современность", 2023 Donnellan’s distinction between referential and attributive uses of definite descriptions gave rise to controversy between semantic and pragmatic accounts of referentially used descriptions.
E. V. Borisov
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Use of Articles in Learning English as a Foreign Language: A Study of Iranian English Undergraduates [PDF]
Iranian Journal of Applied Language Studies, 2011 The significance of error analysis for the learner, the teacher and the researcher is now widely recognized. Earlier studies of error analysis concentrated on intersystematic comparison of the “native language” and the “target language” and drew the ...
Abdullah Sarani
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On the Bures–Wasserstein distance between positive definite matrices [PDF]
Expositiones mathematicae, 2017 The metric $d(A,B)=\left[ \tr\, A+\tr\, B-2\tr(A^{1/2}BA^{1/2})^{1/2}\right]^{1/2}$ on the manifold of $n\times n$ positive definite matrices arises in various optimisation problems, in quantum information and in the theory of optimal transport.
R. Bhatia, Tanvi Jain, Y. Lim
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The Philosophical (Hikmī) and Theological (Kalamī) Approaches to the Badā’ of Divine Definite (Mahtūm) Will in Contemporary Shī’i Thought: The Case of al-'Allāma al-Tabātabā'ī, Āyatollāh Khu'ī, and Mīrza Mahdī Isfahānī [PDF]
پژوهشنامه فلسفه دین, 2019 Badāʿ (the change of divine will) is one of the Islamic doctrines considerably emphasized by the Imams of Shīʿī Muslims. One of the problems concerning the doctrine of badāʾ is whether God can change his definite/fixed (maḥtūm) will.
Mohammd Hossein Kolahi, Reza Rahnama
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Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition [PDF]
SIAM Journal on Matrix Analysis and Applications, 2019 We present a new Riemannian metric, termed Log-Cholesky metric, on the manifold of symmetric positive definite (SPD) matrices via Cholesky decomposition. We first construct a Lie group structure and a bi-invariant metric on Cholesky space, the collection
Zhenhua Lin
semanticscholar +1 more source
Applied Water Science, 2023 Growing agricultural and domestic demand exacerbates water shortages globally, creating substantial environmental challenges, especially in lakes and wetlands ecosystems.
Amir Erfanian +4 more
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