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Genetic monitoring of an endangered arable weed reveals local maintenance of genetic variation in times of land use and climate change. [PDF]
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ON THE REPETITIVITY INDEX OF INFINITE WORDS
International Journal of Algebra and Computation, 2009With any infinite word w we associate a function, called the repetitivity index, giving, for any non-negative integer n, the minimal distance between any two occurrences of identical factors of length n in w. Some properties of the repetitivity index are studied concerning, in particular, periodic words, synchronized sequences, smooth words.
CARPI, Arturo, D'ALONZO V.
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Proceedings of the international conference on APL - APL '82, 1982
Standard arrays in APL are indexed by the index sets @@@@ N . Generalization to arbitrary index sets allows discussion of non-finite objects such as the set of real numbers and provides a suitable notation for mathematical exposition in analysis.
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Standard arrays in APL are indexed by the index sets @@@@ N . Generalization to arbitrary index sets allows discussion of non-finite objects such as the set of real numbers and provides a suitable notation for mathematical exposition in analysis.
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Cognitive Linguistics, 2022
AbstractThis article presents an analysis of the structure and use of the Finnish independent infinitives. Although typological studies have shown that syntactically independent non-finite constructions are widespread in many languages, the understanding of their semantic and intersubjective motivation is still in its early stages.
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AbstractThis article presents an analysis of the structure and use of the Finnish independent infinitives. Although typological studies have shown that syntactically independent non-finite constructions are widespread in many languages, the understanding of their semantic and intersubjective motivation is still in its early stages.
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1990
Infinite Index Embeddings are discussed in the framework of quantized space and its quantized symmetry groups.
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Infinite Index Embeddings are discussed in the framework of quantized space and its quantized symmetry groups.
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Toeplitz plus Hankel Operators with Infinite Index
Integral Equations and Operator Theory, 2008We study Toeplitz plus Hankel operators acting between Lebesgue spaces on the unit circle, and having symbols which contain standard almost periodic discontinuities. Conditions are obtained under which these operators are right-invertible and with infinite kernel dimension, left-invertible and with infinite cokernel dimension or simply not normally ...
G. Bogveradze, L. P. Castro
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Index of Differential-Difference Operators on an Infinite Cylinder
Russian Journal of Mathematical Physics, 2022This well-written, well-organized and well-illustrated paper provides a valuable contribution to the study of the Atiyah-Patodi-Singer (APS) rho invariant on the circle. The author provides an index theorem which equates the analytic and topological index maps for differential-difference operators on an infinite cylinder (Theorem 1). Here, the analytic
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Examples of Toeplitz Operators with Infinite Index
2002In this chapter, after introducing the necessary definitions and studying the simplest properties of Toeplitz operators, we will show on a number of examples how a Toeplitz operator may turn out to have an infinite index.
Vladimir Dybin, Sergei M. Grudsky
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