Norton's theorem

mathematics, the Pythagorean theorem is known as a fundamental relation in Euclidean geometry among the three sides of a right triangle. This theorem was named after him. For example, a right triangle is a triangle with a right angle; square corners adjacent sides also called square corners of the triangle beside it; hypotenuse is the side opposite the right angle. In the figure below, a and b are adjacent sides (square corners), c is the hypotenuse: Pythagoras theorem stated his name in the…

is most known for the founding of the Pythagorean Theorem. The Brotherhood of Pythagoreans was founded after Pythagoras settled in Croton. This very secretive group had its own symbols, prayers, and rituals. His followers gave up everything to live in a commune with other…

The Pythagorean theorem has helped many mathematicians and others and will continue to help out for many years to come. Pythagoras did much more than just contribute the Pythagorean theorem to mathematicians. He also introduced irrational numbers, which many believe that this was done by his students rather than him. They believe this because Pythagoras…

Pythagoras of Samos is often referred to as the first mathematician. Although he studied multiple principles of math and made other discoveries of such he is most well known for proving that the trigonometry basis, Pythagorean Theorem, exists. In fact the Pythagorean Theorem is named after him! Other contributions he made or discovered are; the sum of the angle is a triangles equal to two right angles, construction figures of a given area with geometrical algebra, discovery of irrationals,the…

Marie-Sophie Germain Although she is not well known, Marie-Sophie Germain contributed much to the fields of mathematics, philosophy, and physics and proved to be an exceptional physicist, mathematician, and philosopher throughout her lifetime. Overcoming all obstacles thrown her way, Germain fought relentlessly for her education and proved to not only her parents, but the whole mathematic and scientific community that women could be successful. From the start of her life, Germain was blessed…

To the best of our knowledge, humans are the only creatures on earth that are able to contemplate infinity. We commonly talk about the infinite universe (which cosmologists now tell us is almost certainly finite but unbounded), we speak of infinite number series, such as the set of even numbers, and we use it metaphorically, as in saying someone has “infinite patience.” Time itself is spoken of as infinite, though it is always tied to finite objects which are changing and we can 't even come…

Sophie Germain is one of France’s greatest female mathematician prior to revolutionary war, she was the daughter of Ambroise-François Germain and Marie-Madeleine Gruguelu. Her father worked as a part time deputy to the State-General. In his speeches he gave he referred to himself as a merchant and ardently defended the rights of the Third Estate, which he was there to represent. Somewhat later in his life time he became one of the directors of the Banque de France or in English the Bank of…

“Sophie Germain’s Theorem can be applied for many prime exponents, by producing a valid auxiliary prime, to eliminate the existence of solutions to the Fermat equation involving numbers not divisible by the exponent p” (Laubenbacher and Pengelley, 9). Legendre later used Germain’s findings in a supplement to the second edition of his book, Essai sur le Théorie des Nombres (O’Connor and Robertson). The Institut de France awarded Germain a medal for her work on Fermat’s Last Theorem and Germain…

Kenneth Arrow Kenneth J. Arrow was born in New York city August 23, 1921. Growing up in the Great Depression he was very partial to the thought of socialism. This factor was a huge part in his life because it would keep his views toward left sensibility.He received his undergraduate at the City College of New York. He would graduate from there with a degree in Science in Social Sciences, but a major in mathematics. From here kenneth was able to really begin his journey into the…

Modigliani and Miller (1958) provided a new theory of capital structure, suggesting that a firm’s choice between debt and equity has no impact on the firm’s value. This became known as irrelevance theorem. However, this theory is surrounded by a number of assumptions that can be analyzed in turn. The first assumption from Modigliani and Miller (1958) is that firms operate within a perfect capital market. The perfect capital market is defined by Fabozzi, Neave and Zhou (2012, p 87). Firstly,…