Monday, April 28, 2008

Animals

Animals are a major set of organisms, classified as the empire Metazoa. In common they are multicultural, receptive to their surroundings, and afford for by overriding other organisms or parts of them. Their body plan becomes fixed when they enlarge, commonly early on in their growth as embryos, in spite of the fact that some feel a process of metamorphosis later on.

The word "animal" draws closer from the Latin word animal, of which Metazoa is the plural, and is resulting from anima, sense very significant breath or soul. In every day colloquial usage, the word often refers to non-human animals. The biological meaning of the word refers to every members of the empire Animalia. As a result, as the word "animal" is used in a biological condition, humans are included.

Sunday, April 20, 2008

Global financial system

The global financial system (GFS) is a financial system consisting of institutions and rules that act on the international level, as distinct to those that act on a national or regional level. The main players are the global institutions, such as International Monetary Fund and Bank for International Settlements, national agencies and government departments, e.g., central banks and finance ministries, and private institutions acting on the global scale, e.g., banks and hedge funds.

Sunday, April 06, 2008

Lagrange's theorem group theory and History

Lagrange's theorem, in the mathematics of grouping theory, states that for any finite group G, the arrange (number of elements) of all subgroup H of G divides the order of G. Lagrange's theorem is named after Joseph Lagrange.

Lagrange did not prove Lagrange's theorem in its general form. What he in fact proved was that if a polynomial in n variables has its variables permuted in all n! Ways, the number of various polynomials that are obtained is constantly a factor of n! The number of that kind of polynomials is the index in the symmetric group Sn of the subgroup H of permutations which preserve the polynomial. So the size of H divides n! With the later improvement of abstract groups, this end result of Lagrange on polynomials was known to extend to the general theorem about finite groups which currently bears his name.