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Geometric Neural Ordinary Differential Equations: From Manifolds to Lie Groups [PDF]
Neural ordinary differential equations (neural ODEs) are a well-established tool for optimizing the parameters of dynamical systems, with applications in image classification, optimal control, and physics learning.
Yannik P. Wotte +2 more
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About the Chinese Book “The Book of Poetry”1 [PDF]
“The Shi Jing”(“The Book of Poetry”) is one of the first poems in the world, including Chinese poems, from the 11th century BC to the 6th century BC. During this period, about 3 000 verses appeared, of which 305 poems were selected by Confucius.
Zhao Xiao-bing, Zhao Wenqing
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A Lesser-Known Characteristic of Metaphorization in Khaghani’s poems [PDF]
The subject of the present study is the metaphorical chain, a lesser-known characteristic of metaphorization in Khaghani's poetry. The purpose of this study is to better understand the ability of Khaghani odes, his specific techniques in metaphorization,
Sayyed Ahmad Parsa, Ataullah Awlyaee
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Eulogy and its Goals in Abolqasem Qaem-Maqam Farahani’s Odes [PDF]
One of the sub-categories of literary genres is eulogy which has been criticized by some critics and poets for the use of exaggerated descriptions and contemptuous inquiries of some poets; However, it must be noted that with some poets, eulogy has had ...
Fatemeh Modarresi +2 more
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On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs
The aim of this work is two fold: first we extend some results concerning the computation of the fixed point index for the sum of an expansive mapping and a $k$-set contraction obtained in \cite{DjebaMeb, Svet-Meb}, to the case of the sum $T+F ...
Svetlin Georgiev Georgiev +1 more
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Research objective: to study the possibilities of improving perinatal results by optimizing pergravid preparation in women with high perinatal risk. Materials and methods. The first stage – a cross-sectional study – consisted in determining the vitamin D
G.S. Manasova +2 more
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Quantum homotopy perturbation method for nonlinear dissipative ordinary differential equations
While quantum computing provides an exponential advantage in solving linear differential equations, there are relatively few quantum algorithms for solving nonlinear differential equations.
Cheng Xue, Yu-Chun Wu, Guo-Ping Guo
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Dynamic Model of Single Torrent with File-Sharing P2P Network
In this work, a model of distribution of the file in P2P file-sharing network constructed on the basis of ordinary differential equations is considered. The phase variables which describe a condition of distribution of the file (as a first approximation ...
Alexandra I. Kononova
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Solving Ordinary Differential Equations With Adaptive Differential Evolution
Solving ordinary differential equations (ODEs) is vital in diverse fields. However, it is difficult to obtain the exact analytical solutions of ODEs due to their changeable mathematical forms.
Zijia Zhang, Yaoming Cai, Dongfang Zhang
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Solving Becker’s Problem on Periodic Solutions of Parabolic Evolution Equations
We present existence and multiplicity theorems for periodic mild solutions to parabolic evolution equations. Their peculiarity is a link with the spectrum of the generator of the semigroup rather than with the spectrum of the linearized periodic BVP for ...
Vidossich Giovanni
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