We study the relationship between chaotic behavior and the Central Limit Theorem (CLT) in the Kuramoto model. We calculate sums of angles at equidistant times along deterministic trajectories of single oscillators and we show that, when chaos is sufficiently strong , the Pdfs of the sums tend to a Gaussian, consistently with the standard CLT. On the other hand, when the system is at the ”edge o...

We nd necessary and su cient conditions for the CLT for Markov chains with a countable state space embedded in the space lp for p¿1. This result is an extension of the uniform CLT over the family of indicator functions in Levental (Stochastic Processes Appl. 34 (1990) 245–253), where the result is equivalent to our case p=1. A similar extension for the uniform CLT over a family of possibly unbo...

We describe a polynomial-time cryptanalysis of the (approximate) multilinear map of Coron, Lepoint and Tibouchi (CLT). The attack relies on an adaptation of the so-called zeroizing attack against the Garg, Gentry and Halevi (GGH) candidate multilinear map. Zeroizing is much more devastating for CLT than for GGH. In the case of GGH, it allows to break generalizations of the Decision Linear and S...

In allusion to the lack of formal mathematical methods and engineering characteristics on the construction of AAPDO (ancient architecture protection domain ontology, AAPDO), a construction model on AAPDO based on software engineering and CLT (Concept Lattice Theory, CLT) is proposed, and the application steps and methods of the model are also elaborated on. The model uses a guiding ideology of ...

The main goal of the CLT Cloud project is to equip lexica, morphological processors, parsers and other software components developed within CLT (Centre of Language Technology) with so called web API:s, thus making them available on the Internet in the form of web services. We present a proof-of-concept implementation of the CLT Cloud server where we use the logic programming language Prolog for...

The central limit theorem (CLT) for stationary ergodic Markov chains is investigated. We give a short survey of related results on the CLT for general (not necessarily Harris recurrent) chains and formulate a new sufficient condition for its validity. Furthermore, Markov operators are considered which admit invariant orthogonal splittings of the space of square-integrable functions. We show how...

This introduction to the special issue provides a context for the contributing articles. for readers who are not familiar with cognitive load theory (CLT), it provides a very brief description of assumptions regarding memory systems and learning processes, different types of cognitive load (intrinsic, extraneous, and germane), and design implications. Whereas traditional CLT research focused on...

BACKGROUND To evaluate the reliability of the Cogan lid twitch (CLT) test in a neuro-ophthalmology clinic. METHODS CLT testing was performed on adult patients presenting to the neuro-ophthalmology clinic by the neuro-ophthalmologist. The patients were instructed to look straight ahead, up, down, and straight ahead again. The upper eyelids were carefully evaluated immediately following this mo...

The objective of this study was to develop an efficient ocular nanovesicular carrier providing a controlled delivery of Clotrimazole (CLT); a water insoluble antifungal drug. The nanovesicular carriers were formulated using Span 60 with one of the following edge activators (EA): Tween 80 (TW80), sodium cholate (SC) or sodium deoxycholate (SDC). A 3(2) full factorial design was used to study the...