Fermat's theorem

Is Algebra Necessary? By The New York Times Algebra is necessary because it is the branch of mathematics that studies l combining elements of abstract structures according to certain rules . Originally these elements would put be interpreted as numbers or quantities, so that the algebra somewhat originally was a generalization . The adjective " algebraic " usually denotes a relationship with algebra , such as in algebraic structure . For historical reasons, it may also indicate a relationship…

isosceles right triangle with side lengths of integers a, b, and c. The ratio of the hypotenuse to a leg is represented by $c:b$. \item Assume a, b, and c are in the smallest possible terms (i.e. they have no common factors). \item By the Pythagorean theorem: $c^2 = a^2+b^2 = b^2+b^2…

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…

PROCEDURE Maximum power and Norton’s Theorem will be performed to solve the unknowns within the given circuit. How to use both Maximum Power and Norton’s Theorem properly, are to be explained in order to solve a circuit using these approaches. THEORY MAXIMUM POWER Maximum power states that a load receives max power from a network when it’s resistance is exactly equal to the Thevenin and Norton resistance of the network supplying the power (as shown below): If the load resistance is…

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…

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,…