We study two-dimensional stochastic differential equations (SDEs) of McKean- Vlasov type in which the conditional distribution of the second component of the solution given the first enters the equation for the first ...
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Family planning is an arrangement aimed at forming a prosperous family by limiting the number of births by using contraception. Birth control can reduce unwanted pregnancies, high-risk pregnancies, and prevent materna...
Family planning is an arrangement aimed at forming a prosperous family by limiting the number of births by using contraception. Birth control can reduce unwanted pregnancies, high-risk pregnancies, and prevent maternal death. One of the information systems that has been used in the health world is the immunization day reminder and management of hospital activities. The reminder system is effective as a reminder of the immunization schedule. This wireless technology helps health workers quickly and practically in health services. The use of information systems in family planning programs can support the success of family planning, one of which is to reduce the number of family planning failures and the proper use of family planning. This study uses the PRISMA protocol guidelines. The referenced journals come from various sources that have good publishing credibility and can be accounted for. This study discusses how information systems play a role in the success of family planning programs. The method used in this article is a systematic literature review. This study discusses a number of journals by examining in detail in preliminary studies, research objects, performance indicators, variables and methods applied So as to briefly learn the benefits of information systems as a tool for the success of family planning in midwifery services.
Directing the propagation of near-infrared radiation is a major concern in improving the efficiency of solar cells and thermal insulators. A facile approach to scatter light in the near-infrared region without excessi...
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We consider a single outbreak susceptible-infected-recovered (SIR) model and corresponding estimation procedures for the effective reproductive number R(t). We discuss the estimation of the underlying SIR parameters w...
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We study a low-rank iterative solver for the unsteady Navier–Stokes equations for incompressible flows with a stochastic viscosity. The equations are discretized using the stochastic Galerkin method, and we consider ...
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Volume I of the book is entirely devoted to the theory of mean field games without a common noise. The first half of the volume provides a self-contained introduction to mean field games, starting from concrete illust...
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ISBN:
(数字)9783319589206
ISBN:
(纸本)9783319564371;9783030132606
Volume I of the book is entirely devoted to the theory of mean field games without a common noise. The first half of the volume provides a self-contained introduction to mean field games, starting from concrete illustrations of games with a finite number of players, and ending with ready-for-use solvability results. Readers are provided with the tools necessary for the solution of forward-backward stochastic differential equations of the McKean-Vlasov type at the core of the probabilistic approach. The second half of this volume focuses on the main principles of analysis on the Wasserstein space. It includes Lions' approach to the Wasserstein differential calculus, and the applications of its results to the analysis of stochastic mean field control problems.
A comprehensive microscopic understanding of ambient liquid water is a major challenge for ab initio simulations as it simultaneously requires an accurate quantum mechanical description of the underlying potential ene...
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Machine learning models are changing the paradigm of molecular modeling, which is a fundamental tool for material science, chemistry, and computational biology. Of particular interest is the inter-atomic potential ene...
Machine learning models are changing the paradigm of molecular modeling, which is a fundamental tool for material science, chemistry, and computational biology. Of particular interest is the inter-atomic potential energy surface (PES). Here we develop Deep Potential - Smooth Edition (DeepPot-SE), an end-to-end machine learning-based PES model, which is able to efficiently represent the PES of a wide variety of systems with the accuracy of ab initio quantum mechanics models. By construction, DeepPot-SE is extensive and continuously differentiable, scales linearly with system size, and preserves all the natural symmetries of the system. Further, we show that DeepPot-SE describes finite and extended systems including organic molecules, metals, semiconductors, and insulators with high fidelity.
We study the small-mass (overdamped) limit of Langevin equations for a particle in a potential and/or magnetic field with matrix-valued and state-dependent drift and diffusion. The present work generalizes prior deriv...
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We calculate the probabilities that a trajectory of a fractional Brownian motion with arbitrary fractal dimension df visits the same spot n≥3 times, at given moments t1,...,tn, and obtain a determinant expression for...
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We calculate the probabilities that a trajectory of a fractional Brownian motion with arbitrary fractal dimension df visits the same spot n≥3 times, at given moments t1,...,tn, and obtain a determinant expression for these probabilities in terms of a displacement-displacement covariance matrix. Except for the standard Brownian trajectories with df=2, the resulting many-body contact probabilities cannot be factorized into a product of single-loop contributions. Within a Gaussian network model of a self-interacting polymer chain, which we suggested recently [K. Polovnikov et al., Soft Matter 14, 6561 (2018)], the probabilities we calculate here can be interpreted as probabilities of multibody contacts in a fractal polymer conformation with the same fractal dimension df. This Gaussian approach, which implies a mapping from fractional Brownian motion trajectories to polymer conformations, can be used as a semiquantitative model of polymer chains in topologically stabilized conformations, e.g., in melts of unconcatenated rings or in the chromatin fiber, which is the material medium containing genetic information. The model presented here can be used, therefore, as a benchmark for interpretation of the data of many-body contacts in genomes, which we expect to be available soon in, e.g., Hi-C experiments.
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