First, we prove the function g is an injection (i.e., g is one-to-one). We need to prove that if g(m) = g(n) --(1), where m and n are two integers, then m = n --(2). Since g(m) (and also g(n)) can be defined by two different formulas depending whether the argument m (and n) is even or odd, we consider the following 3 cases: (Case 1) Both m and n are even. In this case, (1) implies 1 – m = 1 – n...

The present study investigated the neural responses to errors in a shooting game - and how these neural responses may relate to behavioral performance - by examining the ERP components related to error detection (error-related negativity; ERN) and error awareness (error-related positivity; Pe). The participants completed a Shooter go/no-go task, which required them to shoot at armed targets usi...

This work describes the impact of different teachers’ approaches in using Moodle, for supporting their courses, at the Polytechnic of Porto School of Engineering. The study covers five different courses, from different degrees and different years, and includes a number of Moodle resources especially supporting laboratory classes. These and other active resources are particularly analyzed in ord...

Gamification, the application of game elements to non-game settings, continues to grow in popularity as a method to increase student engagement in the classroom. We tested students across two courses, measuring their motivation, social comparison, effort, satisfaction, learner empowerment, and academic performance at four points during a 16-week semester. One course received a gamified curricul...

This study explores how firms’ ownership structures affect their earnings quality and long-term performance. Focusing on a unique sample of private firms for which there is financial data available in the years before and after their initial public offering (IPO), I differentiate between those that have private equity sponsorship (PE-backed firms) and those that do not (non-PEbacked firms). The...

Recognizing Textual Entailment is an important and hard basic research that can be applicable to many research fields, e.g. Question Answering, Text Summarization, Information Retrieval and Information Extraction. We, LTI team, developed an adaptable feature-based approach that combines multiple complementing features motivated by our analysis on data as well as linguistic insights. We evaluate...

These are the exercises (with solutions) and the exam for the course Algebra II, winter term 2014/2015 at Bonn. Students were not assumed to have heard algebraic geometry before, just algebra. In particular, basic affine and projective geometry were introduced from scratch. The course covered the standard material up to the structure results about maximal tori and Borel subgroups. Root systems ...

This note presents the basic recursive least squares (RLS) algorithm for recursively estimating parameters in linear regression models. In order to track time varying parameters a forgetting factor and a Kalman filter method are described. These methods may be used in some of the extra tasks in the project and is also used in the compulsory computer exercise (beräkningslaboration) No 5 . This n...