Here we briefly sketch the original proof of [BBD]. The main reference of this talk would be [dCM1], the expository article for this subject written by de Cataldo and Migliorini. The main idea of [BBD] is that first we prove this theorem over a finite field and use ”spread out” principle. One of the important property of this method is that we have an action of the Galois group which acts on va...

Types of code changes in an object oriented library are described. A formal model for capturing and inferencing on the changes to identify aaected classes is described. The model consists of three types of diagrams: the object relation diagram (ORD), the block branch diagram (BBD), and the object state diagram (OSD). An ORD describes the inheritance, aggregation, and association relationships b...

Most of the approximately 90,000 cases of Breast Cancer (BC) documented annually in Pakistan are not diagnosed properly because of lack of suitable markers. We performed serum proteome expression profiling of BC and benign breast disease (BBD) patients with the aim to identify biomarkers that can be helpful for diagnosis and prognosis of the disease. Sera of patients were analyzed by one-dimens...

Abst rac t . In this paper we investigate automated methods for externalizing internal memory data structures. We consider a class of balanced trees that we call weight-balanced partitioning trees (or wp-trees) for indexing a set of points in Rd. Well-known examples of wp-trees include fed-trees, BBD-trees, pseudo quad trees, and BAR trees. These trees are defined with fixed degree and are thus...

abstract breast cancer is a multifactorial disease. benign breast disease (bbd) is one of the most important risk factors for breast cancer. the etiology of bbd is unknown. it is divided into nonproliferative and proliferative diseases. the selection of studies will be based on titles, abstract screening, inclusion and exclusion criteria, and quality assessment. previous studies have shown that...

Major Depressive Disorder (MDD) is the most common mental health disorder and remains a leading cause of disability and lost productivity with huge costs for society. MDD has high rates of relapse and recurrence, and it has strong correlations with feelings of low social support and disrupted sleep. However, MDD is also commonly misdiagnosed by primary care providers, which leads to delayed tre...

this paper discusses the use of box behnken design (bbd) approach to plan the experiments for turning the yield of cvd, thickness and layer number of graphene sheets with an overall objective of optimizing the process to provide higher graphene production volume, fewer layers and thinness structure of graphene. bbd is having the maximum efficiency for an experiment involving four factors such a...