Results 1 to 10 of about 13,192 (150)
Necessary and sufficient conditions for the existence of invariant algebraic curves
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We present a set of conditions enabling a polynomial system of ordinary differential equations in the plane to have invariant algebraic curves. These conditions are necessary and sufficient. Our main tools include factorizations over the field of Puiseux
Maria Demina
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Expand-and-Randomize: An Algebraic Approach to Secure Computation
Entropy, 2021 We consider the secure computation problem in a minimal model, where Alice and Bob each holds an input and wish to securely compute a function of their inputs at Carol without revealing any additional information about the inputs. For this minimal secure
Yizhou Zhao, Hua Sun
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Pseudo-algebraically closed fields over rational function fields [PDF]
Proceedings of the American Mathematical Society, 1983 The following theorem is proved: Let T T be an uncountable set of algebraically independent elements over a field K 0 {K_0} . Then K = K 0 ( T ) K = {K_0}(T) is a Hilbertian ...
Jarden, Moshe, Shelah, Saharon
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Applied Sciences, 2022 For dimensions two, three and four, we derive hyperbolic complex algebraic structures on the basis of suitably defined vector products and powers which allow in a standard way a series definitions of the hyperbolic vector exponential function.
Wolf-Dieter Richter
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Propulsion and Power Research, 2021 Time-dependent viscous fluid flow due to a stretchable rotating disk is investigated. Magnetic field is applied in vertical direction to the disk. Temperature equation is assisted with Joule heating effect.
Salman Ahmad +4 more
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Correction of distortion in flattened representations of the cortical surface allows prediction of V1-V3 functional organization from anatomy. [PDF]
PLoS Computational Biology, 2014 Several domains of neuroscience offer map-like models that link location on the cortical surface to properties of sensory representation. Within cortical visual areas V1, V2, and V3, algebraic transformations can relate position in the visual field to ...
Noah C Benson +3 more
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IEEE Access, 2019 As a part of the field of cryptography, rotation symmetric Boolean functions have rich cryptographic significance. In this paper, based on the knowledge of integer compositions, we present a new construction of odd-variable rotation symmetric Boolean ...
Yindong Chen +3 more
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A Medical Image Segmentation Method With Anti-Noise and Bias-Field Correction
IEEE Access, 2020 Brain magnetic resonance images (MRI) are affected by noise and bias field, which make the traditional FCM algorithm unable to segment tissue regions of MR images accurately.
Hong Xu +4 more
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ALGEBRAIC DIVISIBILITY SEQUENCES OVER FUNCTION FIELDS [PDF]
Journal of the Australian Mathematical Society, 2012 AbstractIn this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields defined over number fields contain infinitely many irreducible elements.
Ingram, P. +4 more
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Asymptotic distribution of traces of singular moduli
Discrete Analysis, 2022 Asymptotic distribution of traces of singular moduli, Discrete Analysis 2022:4, 14 pp. This paper concerns the modular $j$-function, a famous function that is fundamental to algebraic number theory and has remarkable connections to other areas of ...
Nickolas Andersen, William Duke
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