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We study the existence, uniqueness, and regularity of the solution to the stochastic reaction-diffusion equation (SRDE) with colored noise F-center dot:partial derivative(t)u = aijuxixj +biuxi + cu - bu1+beta +xi u1+gamma F-center dot, (t, x) is ...
In this paper, we focus on a theory-practice gap for Adam and its variants (AMSgrad, AdamNC, etc.). In practice, these algorithms are used with a constant first-order moment parameter 1 (typically between 0:9 and 0:99). In theory, regret guarantees for onl ...
The presentation delves into the significance of the concept of the Environment in Architecture, examining whether the term could be construed as a constant or a variable. Supported by a series of examples from the Alpine context, it seeks to illuminate th ...
The diffusion limit of kinetic systems has been subject of numerous studies since prominent works of Lebowitz et al. [1] and van Kampen [2]. More recently, the topic has seen a fresh interest from the rarefied gas simulation perspective. In particular, Fok ...
This paper presents a double-structure elastoplastic constitutive model that can describe the hydromechanical behavior of compacted bentonite. The model is formulated based on a new developed double-structure hydromechanical framework that consists of four ...
Human alpha 1-antitrypsin (AAT) is an abundant acute phase glycoprotein expressing anti-protease and immunomodulatory activities, and is used as a biopharmaceutical to treat patients with inherited AAT deficiency. The pleiotropic properties of AAT provide ...
The pipetting of small volumes, typically ranging between a few and one thousand microliters (mu l), is widely used in many laboratories and essentially relies on air displacement to aspirate and dispense the liquid contained in a small plastic tip. While ...
Dynamic non-contacting seals have been identified as the most appropriate sealing technology for reduced-scale and high-speed turbomachinery applications since they provide a clearance gap preventing rotor-to-seal contact during operation. Yet, any clearan ...
The present relates to a Metal hydride compressor control method for generating a variable output pressure P_desired_outPut, comprising a first step of inflowing gaseous hydrogen into a metal hydride compartment at a constant temperature and then stopping ...
If one carries out a molecular simulation ofNparticlesusing periodic boundary conditions, linear momentum is conserved,and hence, the number of degrees of freedom is set to 3N-3. Inmost programs, this number of degrees of freedom is the defaultsetting. How ...
