In this lecture, we will see applications of communication complexity to proving lower bounds for streaming algorithms. Towards the end of the lecture, we will introduce combinatorial auctions, and we will see applications of communication complexity to auctions in the next lecture. The references for this lecture include Lecture 7 of Troy Lee’s course on communication complexity [Lee10], Lectu...

Introduction 2 Lecture 1. Hermite and Smith normal forms 3 Lecture 2. Integral similarity and the Latimer-MacDuffee-Taussky theorem 8 Lecture 3. Ideal class numbers, integral matrices nonderogatory modulo every prime and maximal orders of number fields 12 Lecture 4. Factorizations of integer matrices as products of elementary matrices, involutions etc 20 Lecture 5. Additive commutators. Solving...

background: according to the available evidence and experiments, problem-based learning is one of the most successful methods to achieve higher educational objectives. in this method, the discussion about the medical sybjects to be learned by the students is based on a real clinical case and participation of the students. various advantages and disadvantages of this method have been addressed i...

This lecture continues the study of hybrid games and their logic, differential game logic [Pla15], whose syntax was introduced in Lecture 20 on Hybrid Systems & Games and whose semantics was developed in Lecture 21 on Winning Strategies & Regions. Today’s lecture furthers the development of differential game logic to the third leg of the logical trinity: its axiomatics. This lecture will focus ...

misti est une nouvelle de guy de maupassant. sur le mode de la narration à la première personne, cette nouvelle rapporte le souvenir d’un jeune homme qui fait part d’une histoire étrange qu’il a vécue dans une relation amoureuse. les deux éléments constitutifs de départ sont les questions d’amour et de superstition. des éléments textuels comme la description et la mise en abyme d’une part et, d...

This project evaluated a class activity on social distance and discrimination using the Bogardus Social Distance Scale. Students [N=266] in six sections of a family development course received either lecture or lecture plus the activity and completed two pretest and posttest measures. Results revealed greater positive shifts on the Scale for students who received the activity, but equivalent ch...