Theorem

formula, there is yet a mathematical way to calculate the optimal amount of debt (Ross, et al., 2013). This makes the Static Trade-off Theory challenging to be implemented in the real world. 5. EMPIRICAL EVIDENCE Apart from the Miller and Modigliani theorem, this paper presented two other alternative theories of capital structure. Altogether, the three theories have three different and conflicting connotations: • M & M Proposition I states that market value of the company is irrelevant of the…

Pythagoras High school is the cause of a great deal of stress among teenagers. Between balancing class and a social life, high school challenges teens to push themselves to their mental and emotional limits. Some classes result in a greater amount of stress, and homework, for students, such as chemistry or math. In fact, math is often considered the bane of the average high school students’ existence. This cursed class has its origins back in ancient times. In fact, the mathematician who is…

a starting point in the field of geometry, which is studied around the world today. One of the many theorems in this book was "If two straight lines cut one another, the vertical, or opposite, angles shall be equal" (Document 5). Another famous mathematician named Pythagoras has also donated many ideas into the mathematics of geometry. One of his most famous theorems includes the Pythagorean Theorem. It states that "for a right…

Task 5—Polynomial Division and the Remainder Theorem Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a). f(x) = x^3 - 3x^2 - x + 3 Part 1. Show all work using long division to divide your polynomial by the binomial. f(x) = (x^3 - 3x^2 + x + 3)(x - 1) = x^2 - 2x + 3 Part 2. Show all work to evaluate f(a) using the function you created. a = 1=f(a) f(1) = 0 Part 3. Use complete sentences to explain how the remainder theorem is used to determine whether your…

The Greeks have contributed many facts and inventions that have influenced our modern society. It is believed that the first Ancient Greek civilizations were formed nearly 4,000 years ago (1600 BC). These early civilizations were formed by the strong Mycenaeans of Crete, a Greek Island. The ancient Greeks contributed to many aspects of our modern civilization, including theatre, architecture, politics, literature, and sciences. The Greeks made lots of stories to help them learn about their world…

Median Voter Theorem works well in certain conditions: two party system with majority rule which produce a consistent aggregation of individual preferences only if preferences are restricted to take a certain form. If the number of candidates is less than three always have stable equilibrium. Each voter’s decision to vote for either one of two parties will depend on how close each party’s ideological stance is relative to the voter’s ideology. If they were on to each other at the median of the…

Isaac Newton was a very famous mathematician and physicist and is know known as one of the most influential men ever. He has contributed to many fields and has helped with advancements in society. Isaac Newton was born on January 4, 1643 in Woolsthorpe, Lincolnshire, England. His father died 3 months before he was born. Newton was expected to die after birth as he was a very weak baby. Newton was sent to live with his grandmother as his mam had married another man. This traumatic experience gave…

On April 1, 1776 in Paris, France Ambroise-Fancois Germain and Marie-Madeleine Gruguelu welcomed their second daughter, Sophie Germain. Sophie was the second of three daughters for the pair. It is said that her family was very wealthy although her father’s occupation was not certain. Most people believed that Amrboise-Francois Germain was a silk merchant. He was also a political member of bourgeoisie at the Estate General, which exposed her and her sisters to politics at a young age. Sophie was…

conditional probability representation. In additional, truth tables and probability are today uses. Bayes Theorem is the final concept in statistics, which is defined as the description of the probability of events based on related conditions. Thomas Bayes developed P (A|B) = P (B|A) (P (A) / P (B) where Pierre-Simon Laplace further the Bayes theorem formula and Sir Harold Jeffreys defined the Bayes Theorem as the theory probability. There are no early uses and is used for probability, odds,…

holder. She currently holds a degree in Mathematics from UCLA. She graduated as a summa cum laude and has been recognized in the Journal of Physics for her work in Mathematics. She has co-written a physics theorem and it is even named after her. It is called the “Chayes-McKellar-Winn theorem.”…