Approximation of functions by linear summation methods in the Orlicz type spaces

Autor: Chaichenko, Stanislav, Savchuk, Viktor, Shidlich, Andrii

Approximative properties of linear summation methods of Fourier series are considered in the Orlicz type spaces ${\mathcal S}_{M}$. In particular, in terms of approximations by such methods, constructive characteristics are obtained for classes of fu

Externí odkaz: http://arxiv.org/abs/1910.12858

Automatic Detection and Pennation Angle Measurement of Muscle Fascicles in Ultrasound Images Using Belt Linear Summation Transform

Autor: Xuan Wang, Fei Zhao, Chen Liu, Fangxia Guo, Jianzhong Guo

Publikováno v: IEEE Access, Vol 7, Pp 174391-174399 (2019)

Ultrasound images of muscle fascicles have been widely used to investigate muscle properties for diagnosis and rehabilitation assessment.The existing automatic fascicle detection and measure methods are based on line detection techniques which do not

Externí odkaz: https://doaj.org/article/966d5b11f9c742dca437f6fe2430e4d6

Approximation of functions by linear summation methods in the Orlicz-type spaces.

Autor: Chaichenko, Stanislav¹ (AUTHOR) s.chaichenko@gmail.com, Savchuk, Viktor² (AUTHOR), Shidlich, Andrii² (AUTHOR)

Publikováno v: Journal of Mathematical Sciences. Sep2020, Vol. 249 Issue 5, p705-719. 15p.

Pseudo-linear Summation explains Neural Geometry of Multi-finger Movements in Human Premotor Cortex.

Autor: Shah NP; Department of Neurosurgery, Stanford University., Avansino D; Howard Hughes Medical Institute at Stanford University, Stanford, CA, USA., Kamdar F; Department of Neurosurgery, Stanford University., Nicolas C; Center for Neurotechnology and Neurorecovery, Department of Neurology, Massachusetts General Hospital, Harvard Medical School, Boston, MA, USA., Kapitonava A; Center for Neurotechnology and Neurorecovery, Department of Neurology, Massachusetts General Hospital, Harvard Medical School, Boston, MA, USA., Vargas-Irwin C; VA RR&D Center for Neurorestoration and Neurotechnology, Rehabilitation R&D Service, Providence VA Medical Center, Providence, RI, USA.; Robert J. and Nancy D. Carney Institute for Brain Science, Brown University, Providence, RI, USA.; Department of Neuroscience, Brown University, Providence, RI, USA., Hochberg L; VA RR&D Center for Neurorestoration and Neurotechnology, Rehabilitation R&D Service, Providence VA Medical Center, Providence, RI, USA.; School of Engineering, Brown University, Providence, RI, USA.; Robert J. and Nancy D. Carney Institute for Brain Science, Brown University, Providence, RI, USA.; Center for Neurotechnology and Neurorecovery, Department of Neurology, Massachusetts General Hospital, Harvard Medical School, Boston, MA, USA., Pandarinath C; Wallace H. Coulter Department of Biomedical Engineering, Emory University and Georgia Institute of Technology, Atlanta, GA, USA.; Department of Neurosurgery, Emory University, Atlanta, GA, USA., Shenoy K; Howard Hughes Medical Institute at Stanford University, Stanford, CA, USA.; Wu Tsai Neurosciences Institute, Stanford University, Stanford, CA, USA.; Bio-X Institute, Stanford University, Stanford, CA, USA.; Department of Electrical Engineering, Stanford University, Stanford, CA, USA.; Department of Bioengineering, Stanford University, Stanford, CA, USA.; Department of Neurobiology, Stanford University, Stanford, CA, USA., Willett FR; Howard Hughes Medical Institute at Stanford University, Stanford, CA, USA., Henderson J; Department of Neurosurgery, Stanford University.; Wu Tsai Neurosciences Institute, Stanford University, Stanford, CA, USA.; Bio-X Institute, Stanford University, Stanford, CA, USA.

Publikováno v: BioRxiv : the preprint server for biology [bioRxiv] 2023 Oct 12. Date of Electronic Publication: 2023 Oct 12.

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