Algebra Research Papers Samples For Students

Principal concept analysis may be defined as the statistical analysis tool relevant for the transformation of detailed or complex data into simple and easy to understand data. The method focuses on the use of principal components of statistics for possible interpretations. In most cases, the method does not include statistical assumptions. However, the method will always give extremely significant results for data that contains multivariate normal distribution. The data is extensively significant in determining the hypothetical variables or components that are extensively useful in the multidimensional data. In other words, the method PCA is a method significant in projecting one-dimensional ...

The fundamental theorem of algebra (FToA) is states that each non-constant single-variable polynomial with complex coefficients has at least one complex root. In fact, there are many equivalent formulations, such as this: every real polynomial can be represented as a product of real linear and real quadratic factors.
Early studies equations by al-Khwarizmi (from 800) are devoted only to positive real roots and have no relation to the FToA. Cardano was the first to realize that it is possible to work with the values ​​more general than real numbers (Geuvers, Wiedijk & Zwanenburg, 2002). This discovery was made in the ...

Rene Descartes was a famous French physicist, mathematician, philosopher and physiologist. He was the founder of modern European rationalism. Descartes was one of the most influential metaphysicians of modern times. The scientist was born on March 31, 1596 in France. Since the parents were nobles, the boy received a good education.
In 1637, René Descartes published his famous work, published in French, - "Discourse on the Method" ("The Geometry Of Rene Descartes | Mathematical Association Of America"). The scientist was the first who introduced the coefficients of equations, variables, and designated degrees. He has modified the symbols of Wyeth’s ...

Men have always dominated in the field of mathematical studies, but some women managed to achieve there more success than their male colleagues. One of such outstanding women was Emmy Noether. Amalie Emmy Noether was a Jewish German mathematician and one of the most famous female scholars in the history of mathematics. She made significant contributions to theoretical physics and abstract algebra and established the theories of fields, rings, and algebras and famous Noether’s theorem that demonstrated bindings between conservation laws and symmetry. As Nathan Jacobson said, “Emmy Noether was one of the most influential mathematicians of the ...

Introduction

Undeniably, primordial Egyptians’ mathematics is one of the earliest kinds of mathematics which had a great influence of the entire traditions of mathematics that followed later. In this context, the term “Egyptian math” is used to refer to math that has been written using the Egyptian language. The work of Egyptians represents one of the civilizations that began taking advantage of the benefits of mathematics as well as numbers; which is evident based on the fact that the results of this early mathematics are still noticeable in the immense architectural accomplishments of these individuals. Notably, the Egyptians most used two ...

Introduction

The study of mathematics plays a backbone role in education, developing human cognitive abilities, including logical thinking abilities, affecting the teaching of other disciplines. High-quality mathematics education is necessary for everyone for his/her successful life in modern society. Modern educational concepts declare the creative development of the individual, but the practical implementation of this goal is not well worked out, at the same time school teacher is obliged to solve the problem. In practice, even strong students who have a good mathematical thinking and great store of knowledge, are not ready to work in the situations new for them, ...

QUESTION 1

Function – A function is the relationship that exists between an input and output such that one input has only one possible output. This implies that a function takes an input and produces an output based on the input (Cheney & Kincaid, 2012).

Examples

Linear function
y = 2 x

Quadratic function

y = 2 x2

Third degree polynomial

y = 2 x3

Exponential function

y = e2x

Logarithmic function

y = log 2 x

Periodic function

y = sin x
Domain of a function - The domain of a function is the set of inputs for which the output of the function exists (Cheney & Kincaid, 2012).The domain of linear function is (- ∞ to ∞), quadratic function is (- ∞ to ∞), ...

“An educated Petersburg, is a successful Petersburg”

Introduction
Petersburg is an independent American city found in the Virginia state of the United States. Its population is overwhelmingly black with an estimated percentage of 79. The city has got a rich industrial history and once supported a booming tobacco industry. Petersburg boasts of several schools in all learning levels.

Overview of the campaign

Generally, Petersburg education standards are adversely reviewed in all quarters. This is a view well rooted in the collective mind of the nation. Recently, a study was conducted on the relationship of education standards and affluence. It was noted that poorer kids do worse than their richer counterparts. The population in ...

Introduction

Pythagoras theorem is named after a Greek mathematician Pythagoras who lived in 475BC. Despite the theorem being named after him, he was not the only ancient person who came up or probably used the theorem because the Babylonians and used it in ancient civilization. In the theorem Pythagoras creates a relationship between the hypotenuse and two sides of a right angled triangle as a2 + b2 = c2. Later on, mathematician from north Europe came up with Pythagoras triples to simplify on ways of obtaining sides of right angled triangles. As years went by, different mathematicians came up with different was of proofing the ...

The Binary System is the simplest numeration of all positional number systems. The basic of this system is discovered by Gottfried Leibniz, who was also the co-creator of Calculus, in his work Explication de l'arithmétique binaire in 1679. In this work, he was trying to translate verbal statements into mathematical ones.
Yi Jing, which was said to be created by the so-called Third millennium father of Chinese writing Fu Xi, depicts yin and yang. It was represented in binary, with yin as 0 and yang as 1, involving eight trigrams and sixty-four hexagrams. Leibniz’s works were ...

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Wolfram Alpha is modern powerful search engines that caters various fields of studies launched in May 2009. The design of these engines initially concentrates on formula and algorithm growth in Mathematics as a result of extensive and sustained data gathering conducted by the team .
In the field of mathematics, it provides supports on specific categories of topics such as mathematical functions, algebra, computational sciences, probability and statistics, calculus and analysis, geometry as well as discrete mathematics. Beyond the common mathematical functions, the team of Wolfram recently added Bessel functions, zeta ...

200 Years of Eastern and Western Medicine and Science

200 Years of Eastern and Western Medicine and Science – Comparison of Developments between 1800-1900
1 Introduction
Thesis Statement: The period between 1800-1900 marked the evolution of Eastern and Western science and a significant cultural exchange that laid the foundation of modern day globalized science.
The purpose of this paper is to trace the development of science and medicine across two centuries in both the East and the West. The timeframe that has been selected for the study extends across the 19th to the 20th century which is a very ...

The scientific revolution of the 17th century is strongly associated with the name of a genius scholar Isaak Newton. His contribution to the world’s scientific thought can hardly be overestimated.
Born in 1642 on the Christmas night in Woolsthhorpe, which is situated in Lincolnshire, England, the child was destined to change the world and become the culminating figure in the revolution of scientific knowledge. A genius as he was, Isaak Newton left his legacy in every fundamental area of that time science: mathematics, mechanics, optics and astronomy.
Isaak stepped into this world in the farmer’s family ...

Many different themes of apparent opposition come from reading James Baldwin’s classic short story, Sonny’s Blues. There are themes of life versus death, good versus bad, light versus darkness, safety versus danger, white versus black, seeing versus blindness, and outside versus inside, to name only a few. A theme that encompasses all of these supposed oppositions is order versus chaos. The characters in Sonny’s Blues attempt to make order from the roiling dangers of poverty, addiction, war, and other chaotic elements of life in Harlem of the 1950s. However, Baldwin does not present chaos and order as ...