A note on the equivariant formal group law of the equivariant complex cobordism ring

For a finite abelian group $G$, we compute the $G$-equivariant formal group law corresponding to the $G$-equivariant complex cobordism spectrum with its canonical complex orientation.Comment: 11 pages, v

IMPACT OF THE APLICATION OF STUDENT FACILITATOR AND EXPLAINING LEARNING METHOD, RELATED TO THE STUDENT LEARNING INTEREST FOR TIK STUDY PROGRAME IN SMA N 1 MERTOYUDAN MAGELANG 2011/2012

The reason of low learning interest basically generated by inappropriate method of study related to the material of the curriculum. For that reason, there should be an alternative learning method , the same reason why Student Facilitator and Explaining method is used. This research goal is to gain information about learning interest difference between commonly used lecture learning method and Student Facilitator and Explaining method. In addition, to gain information about the differences between two learning approaches stated above for students in SMA N 1 Mertoyudan Magelang. This research is quasi experimental with nonequivalent control group design approach. Sample for this research is taken from all students in Xs class (10th grade) of SMA N 1 Mertoyudan Magelang with total of 288 students. Purpose sampling used as main source of research. With each class consist of 32 students, therefore the sampling will be divided into XB1 as the experiments class and XB2 as control class. Both experiment and control class divided into two classes with 32 members each. Technique used in data collecting is four scale likert questionnaire. Validation instrument used expert judgement and product moment. Instrument reliability tested with Alpha Cronbach. Data analysis that used for concluding the research output are descriptive statistic and T test. The result of the research shows that learning interest, before and after the use of Student Facilitator and Explaining, is increasing. From 58,44 to 67,8 in control class and 59,03 to 75,97 in experiment class. In conclusion, average learning interest point in experiments class is higher than control class. According to the calculation of T count posttest (4.7200) > T table (1.6706), shows that there is a significance difference for the application of Student Facilitator and Explaining and general lecture method

Resolving Histogram Binning Dilemmas with Binless and Binfull Algorithms

The histogram is an analysis tool in widespread use within many sciences, with high energy physics as a prime example. However, there exists an inherent bias in the choice of binning for the histogram, with different choices potentially leading to different interpretations. This paper aims to eliminate this bias using two "debinning" algorithms. Both algorithms generate an observed cumulative distribution function from the data, and use it to construct a representation of the underlying probability distribution function. The strengths and weaknesses of these two algorithms are compared and contrasted. The applicability and future prospects of these algorithms is also discussed.Comment: 19 pages, 5 figures; additional material to be found at https://debinning.hepforge.org

Intersections of multiplicative translates of 3-adic Cantor sets

Motivated by a question of Erd\H{o}s, this paper considers questions concerning the discrete dynamical system on the 3-adic integers given by multiplication by 2. Let the 3-adic Cantor set consist of all 3-adic integers whose expansions use only the digits 0 and 1. The exception set is the set of 3-adic integers whose forward orbits under this action intersects the 3-adic Cantor set infinitely many times. It has been shown that this set has Hausdorff dimension 0. Approaches to upper bounds on the Hausdorff dimensions of these sets leads to study of intersections of multiplicative translates of Cantor sets by powers of 2. More generally, this paper studies the structure of finite intersections of general multiplicative translates of the 3-adic Cantor set by integers 1 < M_1 < M_2 < ...< M_n. These sets are describable as sets of 3-adic integers whose 3-adic expansions have one-sided symbolic dynamics given by a finite automaton. As a consequence, the Hausdorff dimension of such a set is always of the form log(\beta) for an algebraic integer \beta. This paper gives a method to determine the automaton for given data (M_1, ..., M_n). Experimental results indicate that the Hausdorff dimension of such sets depends in a very complicated way on the integers M_1,...,M_n.Comment: v1, 31 pages, 6 figure