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2017
The aim of this course is the study of the pullback equation. More precisely we want to find a map \(\varphi: \mathbb{R}^{n} \rightarrow \mathbb{R}^{n},\) preferably we want this map to be a diffeomorphism, that satisfies the above equation, where f, g are differential k-forms, 0 ≤ k ≤ n. Most of the time we will require these two forms to be closed.
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The aim of this course is the study of the pullback equation. More precisely we want to find a map \(\varphi: \mathbb{R}^{n} \rightarrow \mathbb{R}^{n},\) preferably we want this map to be a diffeomorphism, that satisfies the above equation, where f, g are differential k-forms, 0 ≤ k ≤ n. Most of the time we will require these two forms to be closed.
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1991
We interrupt our study of differential calculus to apply the results of Section 4 of Chapter 7 to the outstanding problem of evaluating pullbacks.
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We interrupt our study of differential calculus to apply the results of Section 4 of Chapter 7 to the outstanding problem of evaluating pullbacks.
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2017
This chapter develops a number of analogous results on Henselian Pullbacks. It seeks to characterize Henselian valuation domains through corollaries based on the characterization of valuation domains as the quasilocal integrally closed coherent going-down domains. The chapter also gives an application of the results on Henselian pullbacks.
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This chapter develops a number of analogous results on Henselian Pullbacks. It seeks to characterize Henselian valuation domains through corollaries based on the characterization of valuation domains as the quasilocal integrally closed coherent going-down domains. The chapter also gives an application of the results on Henselian pullbacks.
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On weakly pullback flat S-posets
Journal of Algebra and Its ApplicationsIn 2005, Bulman-Fleming and Laan established an analog of the Lazard–Govorov–Stenström theorem in the convex of [Formula: see text]-posets, which shows that an [Formula: see text]-poset [Formula: see text] is strongly flat if and only if [Formula: see text]-preserves subpullbacks and subequalizers if and only if [Formula: see text] satisfies condition
Tingting Zhao, Husheng Qiao, Xia Zhang
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Pullback Grammars Are Context-Free
2008Following earlier work on pullback rewriting, we describe here the notion of graph grammar relevant to our formalism. We then show that pullback grammars are context-free and provide a surprising example, namely the context-free generation of square grids.
Ly, Olivier, Chen, Rui, Bauderon, Michel
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Hybrid machine learning for pullback force forecasting during horizontal directional drilling
, 2021Hongfang Lu +3 more
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Bounds for the Homological Dimensions of Pullbacks
Journal of Mathematical Sciences, 2002Let \(R@>{i_k}>>R_k\), \(k=1,2\), be the pullback of ring homomorphisms \(R_k@>j_k>>R'\), \(k=1,2\). \textit{A. Facchini} and \textit{P. Vámos} [J. Lond. Math. Soc., II. Ser. 31, 425-438 (1985; Zbl 0526.16014)] proved a criterion for an \(R\)-module \(M\) to be injective (respectively projective, flat) given in the terms of the corresponding properties
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Applied Mathematics and Optimization, 2020
Renhai Wang, Yangrong Li, Bixiang Wang
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Renhai Wang, Yangrong Li, Bixiang Wang
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Weak Pullback Attractors for Mean Random Dynamical Systems in Bochner Spaces
Journal of Dynamics and Differential Equations, 2018Bixiang Wang
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PULLBACK CROSSED MODULES OF ALGEBROIDS
2008In this paper, we present algebroids and crossed modules of algebroids. We also define pullbackcrossed module of algebroids.
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