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Canal surfaces generated by special curves and quaternions
In this paper, we show that canal and tubular surfaces can be obtained by special curves. Also, we give the equations of the canal and tubular...
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An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension
In 1965, B. A. Troesch solved the isoperimetric sloshing problem of determining the container shape that maximizes the fundamental sloshing frequency...
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Uniqueness of the Catenoid and the Delaunay Surface via a One-Parameter Family of Touching Spheres
We provide a new characterization of the catenoid and the Delaunay surface among constant mean curvature surfaces touching a one-parameter family of...
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Surfaces of Osculating Circles in Euclidean Space
The aim of this paper is to define a new class of surfaces in Euclidean space using the concept of osculating circle. Given a regular curve C , the...
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Application of Artificial Immune System in Optimal Design of Irrigation Canal
Artificial Immune System (AIS) is an emerging field of computational intelligence used in engineering and scientific applications. Like other...
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The new study of some characterization of canal surfaces with Weingarten and linear Weingarten types according to Bishop frame
In this paper, we have a tendency to investigate a particular Weingarten and linear Weingarten varieties of canal surfaces according to Bishop frame...
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Smooth and Discrete Cone-Nets
Cone-nets are conjugate nets on a surface such that along each individual curve of one family of parameter curves there is a cone in tangential...
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Shape optimization of GHT-Bézier developable surfaces using particle swarm optimization algorithm
In the manufacturing process of free-form complex surfaces, various problems occur which degraded the performance and can be resolved by using an...
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Time-Harmonic Oscillations of a Poroelastic Body with an Application to Modelling the Spinal Cord
The time-dependent flow of a liquid through a deforming poroelastic material can be modelled using a system of coupled time-dependant partial...
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Sloshing, Steklov and corners: Asymptotics of sloshing eigenvalues
In the present paper we develop an approach to obtain sharp spectral asymptotics for Steklov type problems on planar domains with corners. Our main...
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On my eight articles with the Professor Jorge Sotomayor
In this note I summarize the eight articles that I wrote with the Professor Jorge Sotomayor and the consequences of some these articles.
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A fluid flow model in the lacunar-canalicular system under the pressure gradient and electrical field driven loads
The lacunar-canalicular system (LCS) is acknowledged to directly participate in bone tissue remodeling. The fluid flow in the LCS is synergic driven...
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Virtualization Technologies Intrinsic to Living Beings
The authors consider one of the components of the information technology, namely, virtualization technologies that are unique to living beings. The...
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Fundamental Equations of Free Surface Flows
Open channel flow is the study of the movement of liquids with a free surface, which is by definition an interface in contact with the atmosphere.
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On the Maximum Value of a Multi-variable Function
In this paper, we find the maximum value of a multi-variable function, related by an optimization problem. Our method of maximizing this function is...
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Investigating the Causes of Glaucoma: Mathematical Modeling of the Hydrodynamics of Fluid Outflow Through Schlemm’s Canal
The article describes the reasons for elevated intraocular pressure due to obstruction of fluid outflow, which may lead to the development of...
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Artificial Intelligence for Fetal Ultrasound
Diagnostic ultrasound is the most commonly used imaging method in the field of obstetrics and gynecology to estimate various biometrics related to...