Results 1 to 10 of about 762,321 (202)
Subspace-Invariant AC$^0$ Formulas [PDF]
Logical Methods in Computer Science, 2019 We consider the action of a linear subspace $U$ of $\{0,1\}^n$ on the set of AC$^0$ formulas with inputs labeled by literals in the set $\{X_1,\overline X_1,\dots,X_n,\overline X_n\}$, where an element $u \in U$ acts on formulas by transposing the $i$th ...
Benjamin Rossman
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Advances in Difference Equations, 2020 In this paper, we show that the invariant subspace method can be successfully utilized to get exact solutions for nonlinear fractional partial differential equations with generalized fractional derivatives. Using the invariant subspace method, some exact
Mohamed S. Abdel Latif +2 more
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INVARIANT SUBSPACES IN UNBOUNDED DOMAINS
Проблемы анализа, 2021 We study subspaces of functions analytic in an unbounded convex domain of the complex plane and invariant with respect to the differentiation operator.
A. S. Krivosheev, O. A. Krivosheeva
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A globally stable attractor that is locally unstable everywhere [PDF]
AIP Advances, 2017 We construct two examples of invariant manifolds that despite being locally unstable at every point in the transverse direction are globally stable. Using numerical simulations we show that these invariant manifolds temporarily repel nearby trajectories ...
Phanindra Tallapragada +1 more
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Group-invariant Subspace Clustering [PDF]
2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2015 Proceedings of Allerton ...
Aeron, Shuchin, Kernfeld, Eric
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A refined invariant subspace method and applications to evolution equations
Science China Mathematics, 2012 The invariant subspace method is refined to present more unity and more diversity of exact solutions to evolution equations. The key idea is to take subspaces of solutions to linear ordinary differential equations as invariant subspaces that evolution ...
W. Ma
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Invariant Subspace Attack Against Midori64 and The Resistance Criteria for S-box Designs
IACR Transactions on Symmetric Cryptology, 2016 We present an invariant subspace attack on the block cipher Midori64, proposed at Asiacrypt 2015. Our analysis shows that Midori64 has a class of 232 weak keys.
Jian Guo +5 more
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Invariant subspace method for (m+1)-dimensional non-linear time-fractional partial differential equations [PDF]
Communications in nonlinear science & numerical simulation, 2022 In this paper, we generalize the theory of the invariant subspace method to (m + 1)-dimensional non-linear time-fractional partial differential equations for the first time.
P. Prakash, K. Priyendhu, M. Lakshmanan
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Invariant Subspace Approach to Boolean (Control) Networks [PDF]
IEEE Transactions on Automatic Control, 2021 A logical function can be used to characterize a property of states of a Boolean network (BN), which is considered as an aggregation of states. The dynamics of a set of logical functions are called the dual dynamics of the set.
D. Cheng, Lijun Zhang, Dongyao Bi
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Optimizing option pricing: Exact and approximate solutions for the time-fractional Ivancevic model
Alexandria Engineering Journal, 2023 This research investigates the time fractional Ivancevic option pricing model and presents two distinct solution methods: the invariant subspace method for obtaining exact solutions and the residual power series method for generating approximate ...
Khalid K. Ali, M.A. Maaty, M. Maneea
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