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Full-Text Articles in Physical Sciences and Mathematics
On Clinical Use Of Infrared Cameras For Video-Based Estimation Of 3d Facial Kinematics, William Mackenzie Harrington
On Clinical Use Of Infrared Cameras For Video-Based Estimation Of 3d Facial Kinematics, William Mackenzie Harrington
Theses and Dissertations
Neurological and neurodegenerative disorders such as Parkinson’s disease (PD), amyotrophic lateral sclerosis (ALS), and stroke can cause speech and orofacial motor impairments with devastating effects on quality of life. Analysis of orofacial movement provides vital information for early diagnosis and tracking disease progression, but current clinical practice relies on perceptual assessments performed by clinicians, which are unreliable and insensitive to early symptoms. New methods in machine learning have enabled automatic and objective assessment of orofacial kinematics from color and depth videos, hence we introduce MEADepthCamera, a mobile application for RGB-D video and audio recording and automatic estimation of 3D facial …
On The Spectral Theory Of Linear Differential-Algebraic Operators With Periodic Coefficients, Bader Alshammari
On The Spectral Theory Of Linear Differential-Algebraic Operators With Periodic Coefficients, Bader Alshammari
Theses and Dissertations
In this thesis, the spectral theory of linear differential algebraic equations (DAEs) is considered in detail and extended to treat the weighted spectral theory which generalizes the classical theory, i.e., we develop the spectral theory for the most general DAEs: J df dt + Hf = λWf, (0.0.1) where J is a constant nonzero skew-Hermitian n×n-matrix, both H and W are dperiodic Hermitian n×n-matrices with Lebesgue measurable functions as entries, and W is positive semidefinite and invertible for a.e. t ∈ R (i.e., Lebesgue almost everywhere). Under weakest hypotheses on H and W currently known, called the local index-1 hypotheses, …
Relaxation Of Variational Principles For Z-Problems In Effective Media Theory, Kenneth Beard
Relaxation Of Variational Principles For Z-Problems In Effective Media Theory, Kenneth Beard
Theses and Dissertations
In this thesis, we consider a class of Z-problems and their associated effective operators on Hilbert spaces which arise in effective media theory, especially within the theory of composites. We provide a unified approach to obtaining solutions of the Z-problem, formulas for the effective operator in terms of generalized Schur complements, and their associated variational principles (e.g., the Dirichlet minimization principle), while allowing for relaxation of the standard hypotheses on positivity and invertibility for the classes of operators usually considered in such problems. The Hilbert space framework developed here is inspired by the methods of orthogonal projections and Hodge decompositions. …
Dirichlet Type Boundary Value Problems For Linear And Quasi{Linear Hyperbolic Equations Of Higher Order, Reemah Alhuzally
Dirichlet Type Boundary Value Problems For Linear And Quasi{Linear Hyperbolic Equations Of Higher Order, Reemah Alhuzally
Theses and Dissertations
Dirichlet type problems for quasi-linear hyperbolic equations are considered. For two-dimensional boundary value problems there are established:
(i) Unimprovable sufficient conditions of unique solvability and well-posedness of linear problems in piecewise smooth domains;
(ii) Unimprovable Sufficient conditions of unique solvability of linear problems in smooth convex domains.
(iii) Optimal Sufficient conditions of solvability, unique solvability and strong well-posedness of quasi-linear problems in piecewise smooth domains;
(iv) Optimal sufficient conditions of solvability and unique solvability of quasi- linear problems in smooth convex domains.
For three-dimensional linear boundary value problems there are established:
(i) Unimprovable sufficient conditions of unique solvability and well-posedness …