Potential light source for photonic integrated circuits based on the equilateral triangle resonator

The semiconductor microlasers based on the equilateral triangle resonator (ETR) can be fabricated from the edge-emitting laser wafer by dry-etching technique, and the directional emission can be obtained by connecting an output waveguide to one of the vertices of the ETR. We investigate the mode characteristics, especially the mode quality factor, for the ETR with imperfect vertices, which is inevitable in the real technique process. The numerical simulations show that the confined modes can still have a high quality factor in the ETR with imperfect vertices. We can expect that the microlasers is a suitable light source for photonic integrated circuits.

Eigenmode confinement in semiconductor microcavity lasers with an equilateral triangle resonator

We analyze the mode behaviors for semiconductor lasers with an equilateral triangle resonator by deriving the mode field distribution and the eigenvalue equation. The eigenvalue equation shows that the longitudinal mode wavelength interval is equivalent to that of a Fabry-Perot cavity with the cavity length of 1.5a, where a is the side length of the equilateral triangle resonator. The transverse waveguiding is equivalent to as a strip waveguide with the width of root 3a/ 2, and the number of transverse modes supported by the resonator is limited by the total reflection condition on the sides of the equilateral triangle. Semiconductor microcavity laser with an equilateral triangle resonator is suitable to realize single mode operation, and the mode wavelength can be adjusted by changing the side length.

Solving MIN UR problem by triangle evolution algorithm with archiving and niche techniques

In this paper, as an extension of minimum unsatisfied linear relations problem (MIN ULR), the minimum unsatisfied relations (MIN UR) problem is investigated. A triangle evolution algorithm with archiving and niche techniques is proposed for MIN UR problem. Different with algorithms in literature, it solves MIN problem directly, rather than transforming it into many sub-problems. The proposed algorithm is also applicable for the special case of MIN UR, in which it involves some mandatory relations. Numerical results show that the algorithm is effective for MIN UR problem and it outperforms Sadegh's algorithm in sense of the resulted minimum inconsistency number, even though the test problems are linear.

The role of technology in the study of semiotic representations in mathematics

En este trabajo resumimos algunas reflexiones sobre el papel que pueden desarrollar la tecnología en el estudio de sistemas semióticos de representación, y que constituyen el núcleo para la comprensión de los procesos de construcción del conocimiento matemático de los estudiantes. La cita corresponde con el resumen de una página publicado.

EU Non-Discrimination Law and Intersectionality:investigating the triangle of racial, gender and disability discrimination

This book contributes to a critical reflection of current legislative and jurisprudential developments in Non-Discrimination Law, focusing on the European Union. The book is focused on intersectionality between gender, race and disability and the question of whether, and to what extent, this intersection can be adequately addressed in (EU) law. The discussion rests on two basic assumptions. First, the multiplication of 'discrimination grounds' in EU law and other legal regimes should not result in a dilution of the demands of equality law. Accordingly, the book focuses on the three key grounds - race, gender and disability. These constitute nodes around which other discrimination grounds can be grouped. Second, any multi-ground non-discrimination law framework needs to engage with the question of discrimination on several grounds. This book provides a critical evaluation of some of the problems presented by such intersectionality and an opportunity to explore the issues in depth. This collection offers some new proposals relating to the regrouping of identity categories and to the general approach to socio-legal research in the field. It also contains a comparative section, which expands on practical experiences with intersectionality and law, and a section dedicated to juridical responses to intersectionality.

The book will be a valuable resource for researchers, academics and those working in the area of EU non-discrimination law and policy.

European Union non-discrimination law and intersectionality:Investigating the triangle of racial, gender and disability discrimination

This book contributes to a critical reflection of current legislative and jurisprudential developments in Non-Discrimination Law, focusing on the European Union. The book is focused on intersectionality between gender, race and disability and the question of whether, and to what extent, this intersection can be adequately addressed in (EU) law. The discussion rests on two basic assumptions. First, the multiplication of 'discrimination grounds' in EU law and other legal regimes should not result in a dilution of the demands of equality law. Accordingly, the book focuses on the three key grounds - race, gender and disability. These constitute nodes around which other discrimination grounds can be grouped. Second, any multi-ground non-discrimination law framework needs to engage with the question of discrimination on several grounds. This book provides a critical evaluation of some of the problems presented by such intersectionality and an opportunity to explore the issues in depth. This collection offers some new proposals relating to the regrouping of identity categories and to the general approach to socio-legal research in the field. It also contains a comparative section, which expands on practical experiences with intersectionality and law, and a section dedicated to juridical responses to intersectionality.

Exploring the linguistic landscape: the case of the ‘Golden Triangle’ in the Algarve, Portugal

Studies of the linguistic landscape (LL) are concerned with language in its written form, in the public sphere; language that is visible to all through texts such as billboards and other public signs. The LL is such a taken-for-granted part of our everyday experience that its importance as a form of social practice is often overlooked. Taking a mixed methods approach to the case of the linguistic landscape of the ‘Golden Triangle’, an area of tourist resorts which is gradually becoming a residential area in the Algarve, Portugal, I suggest that the discursive construction of a place is partly achieved through the highly visible texts of the LL which may also impact upon the discursive construction of the collective identities of those who inhabit the place.

Relation entre l’accomodabilité et le triangle prévisionnel lors de l’électrodiagnostic rapide : une étude exploratoire

Travail d'intégration réalisé dans le cadre du cours PHT-6113.

Distribution asymptotique des valeurs propres du laplacien sur le triangle équilatéral

Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal

Étude de la cinématique HI (21cm) et H-Alpha de la galaxie du Triangle (M33).

Latex a été utilisé pour la redaction de cette thèse.