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The cosmological time function [PDF]
Classical and Quantum Gravity, 1998 Let $(M,g)$ be a time oriented Lorentzian manifold and $d$ the Lorentzian distance on $M$. The function $ (q):=\sup_{p< q} d(p,q)$ is the cosmological time function of $M$, where as usual $p< q$ means that $p$ is in the causal past of $q$. This function is called regular iff $ (q) < \infty$ for all $q$ and also $ \to 0$ along every past ...
Andersson, L., Galloway, G., Howard, R.
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Exact Response Theory for Delay Equations [PDF]
EntropyThe exact response theory, also known as Transient Time Correlation Function formalism, is a powerful method concerning how observables respond to a given perturbation of the dynamics of the systems of interest, and it extends linear response theory to ...
Federico Gollinucci +2 more
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Time-Resolved Exciton Wave Functions from Time-Dependent Density-Functional Theory [PDF]
Journal of Chemical Theory and Computation, 2021 Time-dependent density-functional theory (TDDFT) is a computationally efficient first-principles approach for calculating optical spectra in insulators and semiconductors, including excitonic effects. We show how exciton wave functions can be obtained from TDDFT via the Kohn-Sham transition density matrix, both in the frequency-dependent linear ...
Jared R. Williams +2 more
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Surface dynamic subsidence prediction model based on multi-function crossover and its application
Meikuang Anquan, 2023 In order to study the dynamic influence of working face mining on surface subsidence, taking a mine in Wuhai as the engineering background, the prediction function model of surface dynamic subsidence is constructed by using Knothe time function and ...
Wencai WANG +4 more
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Frontiers in Earth Science, 2023 On the basis of the Zhonghe Tunnel project of the An-Lan Expressway, the objective of this study was to determine the appropriate method of calculating the steel arch load and stress release rate during numerical simulation.
Xiao Ding +7 more
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Study on Dynamic Prediction of Mining Subsidence with Segmented Weibull Time Function
Taiyuan Ligong Daxue xuebao, 2021 The maximum subsidence speed moment τ of the surface point was set as cut-off point to divide the dynamic subsidence process into two phases of approximate symmetry.
Yongsheng ZHANG +3 more
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Time Functions Function Best as Functions of Multiple Times [PDF]
Computer Music Journal, 1992 This article presents an elegant way of representing control functions at an abstractlevel. It introduces time functions that have multiple times as arguments. In this waythe generalized concept of a time function can support absolute and relative kinds of time behavior.
Desain, P., Honing, H.
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Meitan kexue jishu, 2023 The time function method is one of the most commonly used methods for predicting surface dynamic displacements in coal mine areas. In which, the accuracy and reliability of the predicted displacements, to a large extent, depends on the selected ...
Siyu QIAO +5 more
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Journal of Educational Research in Mathematics, 2021 This study investigates the way students perceive and express change in an exponential situation with different reasoning methods for continuous change - for example, students, who use chunky reasoning, construct a new function representing the change of
Donggun Lee
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THE RELATIONSHIP BETWEEN NUMBER OF BIOKINEMATICS VARIABLES AND FORCE-TIME FUNCTION IN THE TAKE OFF PHASE IN HIGH JUMP IN FUASBORY METHOD [PDF]
مجلة الرافدين للعلوم الرياضية, 2014 Research’s aims: .To realize : 1. The values of some of Biokinematics variables in the takeoff phase in high jump in Fuasbory method. 2. The values of some of force-time function variables in the takeoff phase in high jump in Fuasbory method. 3.
Nawaf Owaid Abood Al-obaidy +1 more
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