Results 1 to 10 of about 210,069 (312)
On the boundary sequence of an automatic sequence
Discrete Mathematics, 2022 A `boundary' of a word \(w_i\cdots w_{i+n}\) over a finite alphabet is the word \(w_iw_{i+n}\), and the set of all boundaries of words of length \(n+1\) appearing in a sequence \(w=w_1w_2\cdots\) is denoted \(\partial_{w}(n)\), giving a `boundary sequence' \((\partial_w(n))_{n\ge 1}\) associated to \(w\). \textit{J. Chen} and \textit{Z.-X. Wen} [Theor.
Xiao-Tao Lu, Zhi-Xiong Wen
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A deep learning-based automatic segmentation model for diffuse midline glioma with H3K27M alteration [PDF]
Frontiers in OncologyBackgroundDiffuse midline glioma (DMG) is a fatal tumor that emerges in the brainstem and thalamus. Compared with microsurgery and chemotherapy, radiotherapy is currently regarded as a safer and more effective treatment option.
Yong Deng +3 more
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Automatic sequence identification in multicentric prostate multiparametric MRI datasets for clinical machine-learning [PDF]
Insights into ImagingObjectives To present an accurate machine-learning (ML) method and knowledge-based heuristics for automatic sequence-type identification in multi-centric multiparametric MRI (mpMRI) datasets for prostate cancer (PCa) ML.
José Guilherme de Almeida +10 more
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The Critical Exponent is Computable for Automatic Sequences [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 The critical exponent of an infinite word is defined to be the supremum of the exponent of each of its factors. For k-automatic sequences, we show that this critical exponent is always either a rational number or infinite, and its value is computable ...
Jeffrey Shallit
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An Integrated Test Sequence Generation Method Based on Software Metrics [PDF]
Zhengzhou Daxue xuebao. Gongxue ban, 2021 To ensure that the software products could work as designed,a series of tests were needed.Due to the different importance of different modules,testers could have special requirements for test projects.How to help testers improve efficiency was the main ...
Fickxiong, Wang Yawen, Gongyun War
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Hidden automatic sequences [PDF]
Combinatorial Theory, 2021 An automatic sequence is a letter-to-letter coding of a fixed point of a uniform morphism. More generally, we have morphic sequences, which are letter-to-letter codings of fixed points of arbitrary morphisms. There are many examples where an, a priori, morphic sequence with a \emph{non-uniform} morphism happens to be an automatic sequence.
Allouche, Jean-Paul +2 more
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Multiplicative automatic sequences [PDF]
Mathematische Zeitschrift, 2021 AbstractWe obtain a complete classification of complex-valued sequences which are both multiplicative and automatic.
Jakub Konieczny +2 more
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Formal inverses of the generalized Thue-Morse sequences and variations of the Rudin-Shapiro sequence [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 A formal inverse of a given automatic sequence (the sequence of coefficients of the composition inverse of its associated formal power series) is also automatic.
Łukasz Merta
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Solutions of the Yang–Baxter Equation and Automaticity Related to Kronecker Modules
Computation, 2023 The Kronecker algebra K is the path algebra induced by the quiver with two parallel arrows, one source and one sink (i.e., a quiver with two vertices and two arrows going in the same direction). Modules over K are said to be Kronecker modules.
Agustín Moreno Cañadas +2 more
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Complexity of automatic sequences
Information and Computation, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zantema, H., Bosma, W.
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