INTRODUCTION Abstract Algebra is more rightly considered meta-mathematics than mathematics proper‚ because it can be used to describe the structures that exist within mathematics from a general standpoint. The basic notions of Groups‚ Rings‚ Fields‚ and Algebraic Extensions provide a framework from which to examine almost all of mathematics. These notions serve as unifying concepts that interlace such seemingly disparate subjects as geometry‚ analysis‚ number theory‚ topology and even applied
Premium Quadratic equation Polynomial Elementary algebra
How to write an abstract An abstract is a short summary of your completed research. If done well‚ it makes the reader want to learn more about your research. I .These are the basic components of an abstract in any discipline: 1) Motivation/problem statement: Why do we care about the problem? What practical‚ scientific‚ theoretical or artistic gap is your research filling? ( Some state the background information about the investigation briefly before the motivation) 2) Methods/procedure/approach
Premium Present tense Past tense Grammatical tense
Marriage The most important quality of a married couple is love. In a marriage important issues such as attitudes‚ responsibilities‚ religion‚ finances‚ career‚ and whether or not to have children should be discussed so that the couple can learn each other’s views regarding the issues to determine compatibility. Building a happy marriage is the result of conscious effort on the part of a husband‚ and wife. A lifelong union that people bound together by a bond of love‚ which is spiritual as well
Premium Marriage
Abstract Expressionism The term Abstract Expressionism was used for the first time in 1919 to describe the work of Kandinsky‚ but is now used to define some post world war two art. In the 1940’s in America‚ particularly New York artists were creating art in a new style one that shifted the art world’s focus. Though they were not formally associated‚ these artists all shared some common ideas. This group was referred to as "The New York School" or "Abstract Expressionists". This type of art
Premium Modernism Art Expressionism
No. 10 Marriage is Superior to Single Marriage is an interesting subject that has been concerning and discussing since the beginning of the human society. Some people regard marriage as the most important thing in a person’s life while someone believes it is terrible and a restriction of freedom. Bacon’s essay‚ Of Marriage and Single Life‚ considers wives and children and balances their advantages against their disadvantages in such a way that is difficult to decide whether marriage is a good
Premium Marriage Family Wife
Marriage is often defined as a “socially sanctioned sexual and economic union between men and women” Marriage is the process by which two people who love each other make their relationship public‚ official‚ and permanent. It is the joining of two people in a bond that putatively lasts until death‚ but in practice is increasingly cut short by divorce. In cases like this‚ the heaviest burden is not on the couple but on the children. Reason Why People Marry * Human infants have a prolonged period
Premium Marriage Family Wife
be regarded by many in the Japanese government as the solution to this three-decade long problem” is the main question for this abstract. The writer provides the answer with an analysis of a five-time foreign minister‚ Uchida Yasuya (1865–1936) understanding that the founding of Manchukuo marked the beginning of Japanese expansionism and militarism‚ the events of the early 1930s represented the culmination of over three decades of Japanese efforts at solving the Manchurian problem. It is an explanatory
Premium Empire of Japan World War II Government of Japan
Nature of Abstract Art Meyer Schapiro (1937) Before there was an art of abstract painting‚ it was already widely believed that the value of a picture was a matter of colors and shapes alone. Music and architecture were constantly held up to painters as examples of a pure art which did not have to imitate objects but derived its effects from elements peculiar to itself. But such ideas could not be readily accepted‚ since no one had yet seen a painting made up of colors and shapes‚ representing
Premium History of painting Abstract art Fauvism
Abstract of 3D Internet Also known as virtual worlds‚ the 3D Internet is a powerful new way for you to reach consumers‚ business customers‚ co-workers‚ partners‚ and students. It combines the immediacy of television‚ the versatile content of the Web‚ and the relationship-building strengths of social networking sites like Face book . Yet unlike the passive experience of television‚ the 3D Internet is inherently interactive and engaging. Virtual worlds provide immersive 3D experiences that replicate
Premium Dimension Virtual reality World Wide Web
Marriage (also called matrimony or wedlock) is a socially or ritually recognized union or legal contract between spouses that establishes rights and obligations between them‚ between them and their children‚ and between them and their in-laws.[1] The definition of marriage varies according to different cultures‚ but it is principally an institution in which interpersonal relationships‚ usually intimate and sexual‚ are acknowledged. In some cultures‚ marriage is recommended or considered to be compulsory
Free Marriage