Communication Using Eigenvalues of Higher Multiplicity of the Nonlinear Fourier Transform

A generalized Nonlinear Fourier Transform (GNFT), which includes eigenvalues of higher multiplicity, is considered for information transmission over fiber optic channels. Numerical algorithms are developed to compute the direct and inverse GNFTs. For closely-spaced eigenvalues, examples suggest that the GNFT is more robust than the NFT to the practical impairments of truncation, discretization, attenuation and noise. Communication using a soliton with one double eigenvalue is numerically demonstrated, and its information rates are compared to solitons with one and two simple eigenvalues.Comment: This work has been accepted for publication in IEEE/OSA Journal of Lightwave Technology, 2018. Digital Object Identifier: 10.1109/JLT.2018.2875557. Copyright 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future medi

A Short Note on the Infinite Decision Puzzle

This work draws on the Supertask literature1 in order to better understand the conceptual and physical possibility of an infinite decision puzzle presented by Barrett and Arntzenius (1999, 2002). The first section presents the puzzle and two possible objections documented in the literature. The next section argues that cardinality and tracking considerations play a key role in understanding the puzzle. The work concludes with a discussion about some implications for the decision theory.supertask infinite decision puzzle

Statistics of the Eigenvalues of a Noisy Multi-Soliton Pulse

For Nonlinear-Frequency Division-Multiplexed (NFDM) systems, the statistics of the received nonlinear spectrum in the presence of additive white Gaussian noise (AWGN) is an open problem. We present a novel method, based on the Fourier collocation algorithm, to compute these statistics.Comment: Accepted for presentation at European Conference on Optical Communications (ECOC) 201

Mathematical Understanding Based on the Mathematical Connections Made by Mexican High School Students Regarding Linear Equations and Functions

The aim of this research was to analyze the level of mathematical understanding based on the mathematical connections made by a group of Mexican High School students when solving mathematical tasks related to the concepts of equation and linear function. The study employed the thinking aloud method to collect data, whereby students verbalized their thought processes while solving three mathematical tasks, followed by answering some final questions. The collected data were analyzed using a simplified version of thematic analysis based on a preliminary framework adopted in this research. The findings revealed that students demonstrated different levels of mathematical understanding depending on the types of mathematical connections they made. Moreover, these outcomes facilitated the refinement of the preliminary framework, providing a more precise set of indicators for each tier of mathematical understanding. These indicators can be valuable resources for educators and researchers, offering guidance in developing instructional strategies aimed at promoting higher levels of mathematical understanding within the classroom

Narratives as Meaningful Learning Experiences

This work focuses on exploring the use of narratives as a process of communication and meaning making thereby reviewing different contributions by different research lines The questioning from narratives is a learning experience that is shaping a common space interacting with learning as a process and the beginning of critical thinking as a product Since the beginning of the process of access to reading we can stimulate the ability to question and to reflect that over time will become an essential foundation for reading for pleasure We build our common meanings based on the knowledge of reality in terms of the cultural context to which we belong Children need to read or listen to stories read to find information on any area of knowledg

Teaching Self in Process Discussion Children

This paper explores the relationship between language teaching practices of teachers and their implicit theories about purchasing on Basic Education For the study of teaching practices used observational methodology and in contrast to interview teachers which is the part analyzed in this article The results suggest that there is a relationship between what teachers think do and say in the classroom context However not all behaviors had a close relationship with the thought and not all necessarily have a strong belief advocacy to action The targets proposed by the teachers have shown a direct relation to the strategies used in the joint construction of knowledge Communicative coherence between the goals they want to achieve and develop teaching style that is observe