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SpNeigh: spatial neighborhood and differential expression analysis for high-resolution spatial transcriptomics. [PDF]
Cheng J, Chow PKH, Liu N.
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Second Law of Thermodynamics and Strain Gradient Theories of Elasticity. [PDF]
Giorgi C, Morro A.
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Probing Phase Transitions of Finite Directed Polymers near a Corrugated Wall via Two-Replica Analysis. [PDF]
Xu R, Nechaev S.
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Implementing physics-informed neural networks with deep learning for differential equations. [PDF]
Emmert-Streib F +3 more
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Attenuation of higher-order acoustic modes in a cylindrical waveguide using lined panel-cavity coupling. [PDF]
Alrashdi A +4 more
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Advances in Metal Microstructure Simulation and Analysis. [PDF]
Liu M, Zhou H, Jiang H, Yue C.
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Boundary Points of Threshold Functions
IEEE Transactions on Computers, 1973Boundary points of a threshold function fare those vertices of the n-cube that produce a minimal irredundant set of inequalities for the realization of f. In this paper they are shown to be those vertices that can be contained in separating hyperplanes.
Lawrence T. Fisher, Donald W. Dearholt
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International Boundaries: A Study of Boundary Functions and Problems.
Journal of the American Statistical Association, 1940(1940). International Boundaries: A Study of Boundary Functions and Problems. Economic Geography: Vol. 16, No. 4, pp. 446-447.
Malcolm J. Proudfoot +1 more
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On functions of bounded boundary rotation
1985In this note, the authors consider the class \(V_ K\) of all functions f, holomorphic in the open unit disc E with f'(z)\(\neq 0\) there and \(f(0)=f'(0)-1=0\), with boundary rotation at most \(2\pi\) k, \(k\geq 1\). \(f\in V_ k\) satisfies \[ \int_{0}^{2\pi}| Re(1+(zf''(z)/f'(z)))| d\theta \leq 2\pi k,\quad z=re^{i\theta}, \] for all \(r\in [0,1 ...
Armstrong, T. E., Reade, Maxwell O.
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