Informally, an expander is an undirected graph that has relatively sparse density, but whose vertices are nevertheless highly connected. Consequently, expanders have the property that any small subset of the vertices has a large set of neighbors outside of the set. This simple graph property has led to highly useful results in a number of branches of computer science. In addition, the study of ...

In this lecture we examine two different generalizations of the Vickrey auction to a setting where there are multiple distinct items to be allocated, and the agents’ values are define over bundles rather than just individual items. Auctions that allocate multiple distinct items are commonly called “combinatorial” or “package” auctions. The properties of the Vickrey auction we would like to gene...

In former lectures, we have learned a lot about online learning. The basic idea is to keep a subset of hypothesis space as the version space and reduce the version space by new data or queries. And we consider the data in any arbitrary form, which means we don’t have any specific hypothesis on data’s schema itself. Although it can be generalized easily, still we want to make a practical effort ...

There is a little doubt in public mind that the dot-com boom on Nasdaq in the end of the 90s represented a stock market bubble. Indeed, major violations of rationality were observed. For instance, some dot-coms, which terminated their business still held positive market value. Market cap of dot-coms, which were parts of established companies sometimes exceeded market caps of their corporate par...

Catch-only models (COMs) have been the focus of ongoing research into data-poor stock assessment methods. Two most recent that are especially promising (i) CMSY+, latest refined version CMSY has progressed from Catch-MSY, and (ii) SRA+ (Stock Reduction Analysis Plus), one developments in field. Comparing COMs evaluating their relative performance is essential for determining state regional glob...

Context. Complex organic molecules (COMs) are often observed toward embedded Class 0 and I protostars. However, not all protostars exhibit COM emission. Aims. The aim is to study variations in methanol (CH 3 OH) emission use this as an observational tracer of hot cores test if the absence CH OH can be linked source properties. Methods. A sample 148 low-mass high-mass investigated using new arch...

BACKGROUND Consistent with osteopathic principles and practice, the nation's colleges of osteopathic medicine (COMs) have emphasized the significance of the musculoskeletal system to the practice of medicine. The authors hypothesized that graduating COM students would, therefore, demonstrate superior knowledge and competence in musculoskeletal medicine when compared with graduates of allopathic...

We isolated a Bacillus subtilis natto strain, designated OK2, from a lot of commercial fermented soybean natto and studied its ability to undergo natural competence development using a comG-lacZ fusion at the amyE locus. Although transcription of the late competence genes was not detected in the B. subtilis natto strain OK2 during competence development, these genes were constitutively transcri...