Results 101 to 110 of about 1,456,699 (307)
The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعيةIn this paper, we applied the reproducing kernel method on elliptical region, we establish the formulas of the reproducing kernel from several degrees and generalized those formulas whatever the dimension of space, we obtained all surfaces, points, and ...
Hiba Aslan, Hamed Abbas
doaj +1 more source
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
Properties of Single-cycle Sinusoidal Wavelet Function
Journal of Harbin University of Science and TechnologyThe single-cycle sinusoidal wavelet is a wavelet with a compact support interval. In order to further study the properties of the single-cycle sinusoidal wavelet, based on the theory of wavelet analysis, the time-frequency analysis method is adopted to ...
LIN Qing +4 more
doaj +1 more source
Abstract and Applied Analysis, 2013 We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space.
Yulan Wang +4 more
doaj +1 more source
Comparative Single‐Cell Transcriptomic Atlas Reveals the Genetic Regulation of Reproductive Traits
Advanced Science, EarlyView.A cross‐species single‐cell transcriptomic atlas of reproductive and central nervous system tissues from sheep and humans reveals conserved cellular programs and regulatory networks that regulated fertility. Integration with GWAS for sheep lifetime average litter size identifies UNC5–SLIT–BMP signaling as a core pathway coordinating neuroendocrine ...
Bingru Zhao +8 more
wiley +1 more source
Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method
Journal of Function Spaces and Applications, 2012 We propose a reproducing kernel method for solving the telegraph equation with initial conditions based on the reproducing kernel theory. The exact solution is represented in the form of series, and some numerical examples have been studied in order to ...
Mustafa Inc, Ali Akgül, Adem Kiliçman
doaj +1 more source
Reproducing Kernel Hilbert Space vs. Frame Estimates
Mathematics, 2015 We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω .
Palle E. T. Jorgensen, Myung-Sin Song
doaj +1 more source
AI‐Enhanced Vibrational Capsule for Minimally Invasive Detection of Abnormal Bowel Tissue
Advanced Science, EarlyView.A fully integrated vibration‐assisted capsule is presented for the minimally invasive detection of bowel lesions. The capsule incorporates a wireless sensor and an eccentric motor to probe tissue mechanics in situ. By coupling triaxial vibration signals with AI‐based classification and analytical modeling, the system enables early, non‐visual ...
Xizheng Fang +6 more
wiley +1 more source
A Novel Method for Solutions of Fourth-Order Fractional Boundary Value Problems
Fractal and Fractional, 2019 In this paper, we find the solutions of fourth order fractional boundary value problems by using the reproducing kernel Hilbert space method. Firstly, the reproducing kernel Hilbert space method is introduced and then the method is applied to this kind ...
Ali Akgül, Esra Karatas Akgül
doaj +1 more source
Advanced Science, EarlyView.Machine learning‐assisted surface‐enhanced Raman spectroscopy analysis of exosomal sialic acid for ovarian cancer diagnosis, as well as independent monitoring of exosomal sialic acid expression levels across different treatment periods, reveals a potential correlation with treatment response.
Lili Cong +6 more
wiley +1 more source