In the last lecture, we have proved the harder side of the Cheegar’s Inequality, i.e. the conductance of a graph is upper bounded by second smallest eigenvalue, in formula, ΦG ≤ √ 2λ2. To prove that we took any vector ~ X having the property ~ X ⊥ ~1 and Rayleigh Quotient R(LG, ~ X) = ~ XLG ~ X ~ XT ~ X = λ2 to construct a set so that the conductance of the graph is upper bounded by the inequal...

Introduction Interteaching offers instructors an alternative teaching method that provides the teacher a full lesson plan run by the students with feedback on the student population’s grasp of lesson material toward the end of the lesson. We examined the use of interteaching with 2 through 4 year undergraduates to determine if interteaching is more effective for long-term concept retention than...

In the previous lecture we discussed the fooling set method for proving lower bounds on deterministic communication complexity. In this lecture we’ll see two more ways we can prove these lower bounds: the Rectangle Size Method and the Rank Method. Both of these are stronger than the fooling set method. We’ll show Ω(n) lower bounds for the dot product function with both methods while the fooling...

In this lecture, we will talk about the technique of using Linear Programming (LP) to solve combinatorial optimization problems. The lecture is divided into two parts. In the first part, we discuss the theoretical aspects of LP and illustrate by exmaples how combinatoric problems can be reforumated as LP problems. In the second part, we introduce two popular algorithms in solving LP problems: t...

Introduction. Health care services require nurses , who are critical thinkers,with high learning Skills, who can solve problems for which there are often no standard solutions. Therefore, a change in the way teachers teach merits consideration. Frost argued that pbl equiped nurses with skills demanded by society. Methods. With above consideration, this research , that is a semi-exprimenta...

Background: Team-based learning is a structured type of cooperative learning that is becoming increasingly more popular in nursing education. This study compares levels of nursing students’ perception of the psycho-social climate of the classroom between conventional lecture group and team-based learning group.   Methods: In a quasi-experimental study with pretest-posttest design ...