Carl Friedrich Gauss: The Fundamental Theorem Of Algebra

Also the author gives us a general background of the story, making the article more immersive and giving us a complete view of the scene giving also the cause to the invention of a determined symbol. In fact in the article the author tells us that the symbol was invented in order to save time and ink and without repeating the phrase “is equal to” in every equation of the book. The inventor of this brilliant symbol is Robert Recorde, a Tudor mathematician and doctor who published widely on a variety of topics. He was born in Tenby, Wales around 1510, and died in Southwark in 1558 in prison for not paying a fine. The idea of the equal symbol had a simple but genial logic; in geometry two parallel lines are perfectly equal, so it’s the best way to represent equality, avoiding

It is sometimes recognized as the materialist commencement of history or the economic understanding of history. It was investigated by Karl Marx and Friedrich Engels. Karl Marx under no circumstances he never used the term. Materialism is the sympathetic states that what is considered as reality is only material: substance and power. There are no Gods or supernatural occurrence.

The isoperimetric problem —that of finding, among all plane figures of a given perimeter, the one enclosing the greatest area —was known to Greek mathematicians of the 2nd century BC. The term has been extended in the modern era to mean any problem in variational calculus in which a function is to be made a maximum or a minimum, subject to an auxiliary condition called the isoperimetric constraint, although it may have nothing to do with perimeters. For example, the problem of finding a solid of

To Hume ideas are thoughts that come from purely from the mind alone with no logical explanation for where the idea originated, it is only from deductive reasoning. (BOOK) As he wrote "Our idea of necessity and causation arises entirely from the uniformity observable in nature, where similar objects are constantly conjoined together and the mind is determined by custom, to infer the one from the appearance of the other.” (Enquiry) Therefore, one cannot explain the cause of an event from an idea because they can be derived and idea from anything, hence making anything cause

ENIAC Patent Trial The Electronic Numerical Integrator and Computer (ENIAC) was proposed by John Mauchly as early as August of 1942. In order to make this work, Mauchly, a mathematician and physicist, worked with electrical engineer, Presper Eckert (Put a comma here.—zs) to make it happen. The design and construction of the ENIAC was financed by the United States Army, Ordnance Corps, and Research and Development Command. The construction contract was signed in June of 1943 and they began working on it a month later at the University of Pennsylvania’s Moore School of Electrical Engineering in secret. The ENIAC was finally completed in November 1945 and tested (used to test—zs) the feasibility of the hydrogen bomb, which was deemed successful.

He attended Harvard University and is widely known for his famous thesis that he wrote in 1891. He wrote this essay because he has a PhD from Harvard. It reads “Americans had created distinctive political institutions and values…. That were forged as they opened up their continent …” This is widely known as “Frontier Theory”. This is a very important theory because it changes the perspective of the American influences and history.

New branches of mathematics, such as geometry established new theorems, columns were prominently used in buildings of importance, and the first Olympics were first held to honor the gods and celebrate human achievement. The contributions of classical Greece are seen in Western civilization in the continuation of the Olympics, in the realistic depiction of subjects in various forms of art, in the development of medical ethics, in the architectural use of columns in the Western building

Isaac Newton was born on the 25th of December, 1642. He was born and died in England. Isaac Newton was described as a natural philosopher. He was recognised as the one of the most influential scientist of all time to the scientific revolution. He made a book called, “Philosophiae Naturalis Principia Mathematica” which was published in 1687.

According to the history, it was changed periodically from early civilizations as Mesopotamia, Egyptians and continue to Greek, then Roman, toward to Middle Ages till nowadays. In this research paper is talking about Roman architecture. The civilization of Ancient Rome started from the 753 BC to 476 AD. The legend began after two brothers, Romulus and Remus1 found the Rome city and become the first King of Rome. The Romans are considered as one of the powerful empires of ancient times.

The guidelines of creating the metric system included the following: it was to be universal and neutral, any laboratory with proper instruments should be able to replicate units based on their definition, decimal multiples, all multiples and submultiples of the base models should be in powers of ten, all units would use common prefixes for each multiple, and the base units had to be close to the size of customary units then in use. The metric system is based on decimals. Though decimal numbers have been used on and off since ancient times in many parts of the world, they never became well established for any long period of time….until the metric system. Conversion to a different size of the same unit now simply consisted moving the decimal point. Since the metric system ranges from 10-24 to 1024, scientific notation is used.

For each distinct pair of the scaled mean vector c and the network size N, the program produces an adjacency matrix of a loop-free digraph (with all diagonal entries 0). To construct the matrix A, the program constructs four matrices A_ij of size Ni by Nj. The elements of these matrices A_ij are either 0 or 1. To assign a value to the element a_ij in the matrix A_ij, the program randomly generates a number from the standard uniform distribution on the open interval (0; 1) and if the number is less than Cij Nj then the element a_ij of the matrix A_ij will take value 1, otherwise the element will be 0. For matrices A_ij with i = j, the diagonal elements are made zero by replacing diagonal elements by zero.

For a system, y(n)=nx(n), the inverse system will be, a) y(1/n) b) y(n)/n c) ny(n) d) n-1y(n) 15. The evaluation of correlation involves, a) Shifting, rotating and summation b) Shifting, multiplication and summation c) Change of index, folding and summation d) Change of index, folding, shifting and multiplication 16. Z-transform of x(n)=δ(n) a) -1 b)0 c)1 d) None of the above 17. Z-transform of x(n)=-u(-n-1) a) 1/(1+z-1) b) 1/(1-z-1) c) (1+z-1) d)

Our protocol takes two integers decomposed into encrypted bit vectors [a][b] and outputs the greater integer. In this configuration cloud 1 (C1) has the encrypted bit vectors of the integers being compared and cloud 2 (C2) knows the private key. The protocol is as follows in a very concise form. we can say with firm conviction that vector [Y] consist of encrypted zeros at every location except one location which holds the value of encrypted one. This distinct location identifies the first position where vector [a] and [b] differ.

Part 1: List the polynomial’s zeroes with possible multiplicities. Part 2: Write a possible factored form of the seventh degree function. 4. Without plotting any points other than intercepts, draw a possible graph of the following polynomial: f(x) = (x + 8)3(x + 6)2(x + 2)(x − 1)3(x − 3)4(x − 6). Answers 1.

Hash queries. To respond to H queries, C maintains a list of tuples called the H-list. The list is initially empty. When A issues a hash query for a conjunctive keyword W_i={W_1 || W_2 ||...||W_s}, algorithm C checks whether W_i=W_j, if so, algorithm C answers consistently with the previous queries by responding with H(W_i) = h_i. Otherwise, C generates a random coin d_i={0,1} so that Pr⁡[d_i=0]=1/(q_T+1), then C selects a random element γ_i∈Z_q, if d_i=0, C computes h_i=g^(γ_i ), otherwise, C computes h_i=g^x, C adds the tuple to H-list, and responds to A with H(W_i) = h_i.