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For simplicity, we expressed these complicated expressions explicitly in time-dependent form.
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This results in time-dependent bias [ 25].
This article investigates the swept rule of space time domain decomposition, an idea to break the latency barrier via communicating less often when explicitly solving time-dependent PDEs.
The first is a stationary adaptive process maintained by an explicitly time-dependent fitness "seascape", in which selection coefficients at individual genomic sites change direction at a constant rate (Mustonen and Lässig 2007, 2008, 2009).
We discuss several methods that explicitly model the time-dependent nature of the time series data in this paper.
However, before we can successfully apply it, we also require new conceptual and mathematical tools to deal with the analysis of data-driven models that are formulated in terms of non-autonomous (i. e. explicitly time-dependent) dynamical systems.
The Hamiltonian considered is explicitly time-dependent.
A procedure was presented [15] for leading to efficient splitting schemes of explicitly time-dependent partitioned linear differential equations after discretizing the certain partial differential equations in space.
Thus, our study explicitly delineates the time-dependent behavior of the amygdala response when uncoupled from attention during anticipation of heat pain.
Such explicitly time-dependent dynamical systems are called non-autonomous [ 32, 81, 82].
The practical aim of our proposed classification scheme is to make the analysis of explicitly time-dependent transient behaviour tractable, and to encourage the wider use of non-autonomous models in systems biology.
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