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Reprogramming RiPP scaffolds through skeletal editing unlocks chemical space. [PDF]
Ogawa H +8 more
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The interaction of biological network topology and mutation effects in complex trait evolution. [PDF]
Gouy A.
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Smart molecular design of NIR-II organic fluorophores through self-driven iterative evolution, deep learning, and fragment-based assembly. [PDF]
Zhang Y +6 more
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On Monotone Mappings in Modular Function Spaces
2021Because of its many diverse applications, fixed point theory has been a flourishing area of mathematical research for decades. Banach’s formulation of the contraction mapping principle in the early twentieth century signaled the advent of an intense interest in the metric related aspects of the theory.
M. R. Alfuraidan +2 more
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Geometry of Modular Function Spaces
2015This chapter introduces general notions related to the geometry of modular function spaces. We define the modular version of uniform convexity and property (R) which will equip us with powerful tools for proving the fixed point theorems in modular function spaces.
Mohamed A. Khamsi, Wojciech M. Kozlowski
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Modular network SOM (mnSOM): from vector space to function space
Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005., 2006Kohonen's self-organizing map (SOM), which performs topology-preserving transformation from a high dimensional data vector space to a low-dimensional map space, provides a powerful tool for data analysis, classification and visualization in many application fields. Despite its power, SOM can only deal with vectorized data, although many expansions have
Tetsuo Furukawa +3 more
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On asymptotic pointwise contractions in modular function spaces
Nonlinear Analysis: Theory, Methods & Applications, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khamsi, M. A., Kozlowski, W. M.
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Spaces of Lipschitz Functions on n-Modular Spaces
Full Text Book of Minar Congress12The intent of this article is to explore some properties of the set of all bounded linear operators and the set of all Lipschitz functions that are defined on n-modular spaces. We introduce the definition of n-modular bounded linear operator and then we describe the set of all n-modular bounded linear operator.
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Semigroups of Nonlinear Mappings in Modular Function Spaces
2015Let us recall that a family \(\{T_t\}_{t \geq 0}\) of mappings forms a semigroup if \(T_0(x)=x\), and \(T_{s+t}=T_s(T_t(x))\). Such a situation is quite typical in mathematics and applications. For instance, in the theory of dynamical systems, the modular function space \(L_{\rho}\) would define the state space and the mapping \((t,x)\rightarrow T_t(x)\
Mohamed A. Khamsi, Wojciech M. Kozlowski
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