Results 71 to 80 of about 11,192 (262)

Weakly supervised video anomaly detection based on hyperbolic space

Scientific Reports
In recent years, there has been a proliferation of weakly supervised methods in the field of video anomaly detection. Despite significant progress in existing research, these efforts have primarily focused on addressing this issue within Euclidean space.
Meilin Qi, Yuanyuan Wu
doaj   +1 more source

Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion Method

Journal of Applied Mathematics, 2014
Based on Jumarie’s modified Riemann-Liouville derivative, the fractional complex transformation is used to transform fractional differential equations to ordinary differential equations.
Wei Li, Huizhang Yang, Bin He
doaj   +1 more source

Neutron Reflectometry and Compression of Graded Hydrogel Surfaces

Advanced Materials Interfaces, EarlyView.
Highly‐entangled and covalently‐crosslinked hydrogels with thin and thick surface gel layers are compressed in neutron reflectometry experiments. Surface gel layer thickness dictates the extent to which the polymer network at the surface of a hydrogel collapses, while crosslinking chemistry, and therefore elastic modulus, impacts the pressure at which ...
Kathryn E. Shaffer, Alex Q. Zhang, Mehdi Karimi, Ahmed Al Kindi, Linnaea D. Uliassi, Nemea S. Courelli, Julia J. Ong, Conor D. Pugsley, Andrew R. Rhode, Erik B. Watkins, Rebecca J.L. Welbourn, Alexander Alexeev, Angela A. Pitenis   +12 more
wiley   +1 more source

Julia and Mandelbrot Sets for Dynamics over the Hyperbolic Numbers

Fractal and Fractional, 2019
Julia and Mandelbrot sets, which characterize bounded orbits in dynamical systems over the complex numbers, are classic examples of fractal sets. We investigate the analogs of these sets for dynamical systems over the hyperbolic numbers.
Vance Blankers, Tristan Rendfrey, Aaron Shukert, Patrick D. Shipman   +3 more
doaj   +1 more source

Liquid Metal‐Based Stretchable Strain Sensor for Fruit Growth Monitoring

Advanced Materials Technologies, EarlyView.
Schematic overview of the fruit growth sensor development workflow, including sensor fabrication by injection molding, electromechanical and environmental characterization, mechanical stability testing, electronic readout integration, and outdoor field validation for monitoring of fruit growth under practical orchard conditions.
Asad Ullah, Lennert Purnal, Maximilian Krack, Sander Vijgen, Thijs Vandenryt, Dieter Reenaers, Ronald Thoelen, Wim Deferme   +7 more
wiley   +1 more source

Adaptive data embedding for curved spaces

iScience
Summary: Recent studies have demonstrated the significance of hyperbolic geometry in uncovering low-dimensional structure within complex hierarchical systems.
Anoop Praturu, Tatyana O. Sharpee
doaj   +1 more source

Moduli spaces of holomorphic mappings into hyperbolically imbedded complex spaces and hyperbolic fibre spaces

Journal of the Mathematical Society of Japan, 1994
In 1974, \textit{S. Lang} [Bull. Am. Math. Soc. 80, 779-787 (1974; Zbl 0298.14014)] conjectured that there are only finitely many dominant meromorphic mappings from a compact complex space to a hyperbolic compact complex space. This generalises the classical de Franchis theorem which asserts that there are only finitely many dominant rational mappings ...
openaire   +2 more sources

Isoparametric hypersurfaces in complex hyperbolic spaces

Advances in Mathematics, 2017
Minor changes, 46 ...
Díaz-Ramos, José Carlos, Domínguez-Vázquez, Miguel, Sanmartín-López, Víctor   +2 more
openaire   +3 more sources

From Rigid to Soft Robotic Approaches for Neuroendoscopy

Advanced Robotics Research, EarlyView.
Robotic assistance has had minimal impact on deep intraventricular surgeries, where small‐scale, precision, and reduced invasiveness can contribute to improved patient outcomes. Emerging technologies in rigid, soft, and hybrid robotics are reviewed to identify the most promising mechanisms for deep brain navigation in addition to an attempt to identify
Kieran Gilday, Irena Zubak, Andreas Raabe, Josie Hughes   +3 more
wiley   +1 more source

The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations

Abstract and Applied Analysis, 2014
Based on a nonlinear fractional complex transformation, the Jacobi elliptic equation method is extended to seek exact solutions for fractional partial differential equations in the sense of the modified Riemann-Liouville derivative.
Bin Zheng, Qinghua Feng
doaj   +1 more source