Transversality and intersection theory / Sard’s theorem, topological analysis approach Introduction The concept of transversality deals with the intersection of two objects; in several ways, one may consider it the reverse of tangency. For transversality to occur between two sub- manifolds, their tangential spaces at every intersection point need to extend across the ambient manifold’s tangent space. Transversality, invariably, particularly fails in case of tangency between two sub- manifolds. However, a more

Dark Ages The author of this report is asked to answer to a number of questions relating to the Dark Ages. Specifically, the author is asked to define what "Dark Ages" means. Second, the author is asked to ask how this society unwittingly paved the way for a preservation of literature and art from the classical era. In particular, the author is asked to identify how Ireland was instrumental in this

Theoretically, CLIL draws on research that situates the integration of language and content as the relationship between form and meaning. An understanding of the theory and practice related to the content-based classroom is essential to the present study. In this section of the chapter, I outline the underlying theory and rationale commonly cited as a basis for CLIL, review empirical research that has evaluated CLIL in the classroom, and

race and racial inequality are structured in the United States of America. It explains the concepts of oppression and privilege, describing ways in which various social institutions (educational system, the media, the economy, politics and the state, criminal justice system, etc.) intersect to construct categories of difference in society. It concludes with a policy suggestions that would help to decrease racial and ethnic inequality in U.S. society. Institutional Structures and

African-Americans in Louisiana & Type 2 Diabetes Rates The poor will be always with us, we are biblically admonished. And for Americans we might add to this ancient maxim that the African-American poor will be always with us. Despite the many gains that they have made in the past 30 years African-Americans remain far more likely to be poor than are white Americans. This has a number of different consequences for

They must never become complacent and assume that they have considered all factors and can now relax, or they can slip into the "boiling frog" phenomenon: circumstances may turn so gradually negative that they do not notice the changes until they have large problems instead of small ones to solve (Beckford, 2002). Conclusion Just as the example of the soldiers at the bridge faced with a battle situation for which they