Essays on Geometry

The composer I have chosen to write this paper on is American Roger Zare. Roger is a composer from Florida who started composing at the age of 14. He learned multiple instruments at a young age including the piano and the violin. Roger has written solo, chamber, choral and full orchestra works. He has earned numerous honors including being the winner of the 5th annual Trio Anima Mundi Composition Prize. The work I chose to listen to is “Geometries” written in 2010 by Zare. The instruments that are included in the production of this are the clarinet, violin, cello ...

The term ‘technical drawing’ in the field of engineering, also referred to as ‘engineering drawing’ mainly relates to the different dimensional views of an object from an engineering perspective. There are two types of dimensional object planes – 2-D projection and 3-D projections. 3-D projections provide three views of one object, where in 2-D lines are perpendicularly extended to a point where there is to be a projection. This type of three dimensional projection of an object is known as orthographical projection. This type of technical drawing done using orthographic projection was also known as an ‘outside the box’ approach, ...

Looking up to the sky has been one of the most important activities of humans. Early civilizations are finding answers to their theological principles in the stars while others look guidance as they travel (Rosenburg & Russo, np). Astronomy is a vital part for the foundation of the religious beliefs and concepts of most of the early civilization. They view astronomy as a tool or as a backbone to their religious, social and cultural beliefs (Sprajc 87). Curiosity and hunger for knowledge have been the fuel for mankind to search answers in space. The significance of astronomy to life could ...

Euclidean geometry is an important sub-discipline of mathematics, as it covers all scopes encompassing distance and theories justified by accurate calculations. Taxicab geometry has become an important sub-discipline of geometry as it applies an extensive and an analytic approach of determining distance between two different points. Many elements of mathematics are present in computer science, such as the principles of basic operations, and selection of numbers – which are present in technologies that made an influence in every facet of human life. In the simple program compiled, a user could choose from the three following options: (1) to begin a ...

(Author)

Philosophy

The Renaissance period found a good deal of interest in the physical world (Weckowicz 53). In 1510, Leonardo da Vinci developed several theories on the nature of the universe. In 1528, Jean Fernal, the French physician, calculated the size of the Earth. Nicolas Copernicus, a highly qualified Pole, observed motions of heavenly bodies, though he was not a practical astronomer. He found that heliocentric theory was more practical; Earth is actually rotating in an orbit around the sun. He retained many concepts of older theories such as spherical and finite universe, and perfectly circular shape of heavenly bodies. ...

<Author’s Name> <Institutional Affiliation> 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 functions, gamma ...

1.0 Introduction Many sports played across the world that involves throwing, hitting and kicking are done so using a ball. However, many parameters such as humidity, materials of manufacture of the ball, size of the ball, etc. control the movement of the ball in air. Research on golf balls and tennis balls reveal their aerodynamic properties and the various parameters affecting their flight. The effect of seams on a baseball on the flight has been evaluated along with the relationship between rotation and lateral forces (Watts & Sawyer 1987). Similar studies have also been conducted on cricket balls, rugby balls, ...

<Student’s name> <Professor’s name>

Introduction Euclid (near 365 - 300 BC) is a Greek mathematician, lived in Alexandria, in the 3rd BC. The main work "Elements" (15 books), containing the basics of ancient mathematics, elementary geometry, number theory, the general theory of relations and the method of determining areas and volumes, which included elements of the theory of limits, has had an enormous influence on the development of mathematics. He worked on astronomy, optics, music theory. Information about the time and place of his birth did not reach us, but we know that Euclid lived ...

Introduction.

Current generates magnetic field β of which its direction and magnitude highly depends on the geometry of the coil in which charge flows through. Coils can have different geometric shapes; circular, torus and two circular coils with current flowing in either the same or opposite direction. In such different coil geometry therefore, the magnetic field β can be determined using Ampere’s and Biot-Savart Laws’.

Instruments/apparatus.

- Bar magnet. - Insulated copper wire Circular and toroidal coil - Cardboard tube. - Galvanometer.

Procedure and Observation.

- The insulated copper wire was wrapped around the cardboard tube to form a single circular coil and then connected ...

Blaise Pascal is one of the famous French mathematicians known all through the world. He is also recognized for his work in physics, inventions, writing and Christian philosophy. He was born Clermont-Ferrand in France on 19th June, 1623. His mother died when he was only three years old. He had two siblings Jacqueline and Gilberte who he was exceptionally close to them. He was a child prodigy and was educated by his father who was a tax collector and a local judge. His father was a talented mathematician. Etienne with his family moved to Paris in 1631. Pascal was ...

Introduction:

Geometry is a lot more than proofs, formulas and calculations that fill up the text books. It is used every day by the engineers and scientists, who are responsible for the beautifully structured world around us. But geometry is not limited to science only; it’s an art, being used in simpler and fun ways. People playing pool bring geometry in use in many ways without even realizing the fact that they are playing with mathematics.

Christine Cam, writes in an article ‘How to use Geometry in Billiards’;

“Geometry and physics are essential parts of the game of billiards. Every shot in a pool game is based on forming perfect angles.” ...

Introduction Marcello (2002) define Stonehenge as a prehistoric monument found in the UK and its one of the most famous sites in the entire world. Stonehenge of Geometry has been very crucial in helping discover various Mathematical truths. Its design shows the elegant and symbolism of numbers and geometry. Several years back surveyors and engineers understood and used this mathematical concept in construction of houses. Many of the Neolithic ancestors used the knowledge of geometry in building Stonehenge. This is to mean that the mathematics which was used by that time in building showed much of the geometrical form ...

Teaching Strategies for Polygons and tessellations: Textbook or Computer?

Literature Review: One of the outright elements that make computers a distinct criterion is the fact that it has high benefits for learners with special needs. Computers continue to prove extremely beneficial to students with certain limitations in speech, audio, and motor. Students with such special needs could use alternative devices (input and output or assistive technologies) to facilitate interaction with computers. This will also enable them do things, which could not accomplished normally and independently. They especially benefit from acquiring access to on-demand and patient tutors that allow them work at their respective paces. The goals achieved through ...

Introduction

Taxicab geometry is a better idealized model for urban geography as compared to Euclidean geometry. This is very applicable in urban planning where distances within the roads are divided within rigid blocks and the shortest distance cannot be the hypotenuse. This is very helpful in establishing the shortest distance between any two points. ( Surhome, Timpledon & Susan). Geometry can be traced back over 2000 years. This is solely refers to Euclidean geometry introduced by Euclid. A German mathematician Hermann Miknowski proposed taxicab geometry. He had the proposition that distances in taxicab geometry is different than in Euclidean ...

Book VII - On Shadows and Realities in Education

SOCRATES - GLAUCON AND now, I said, let me show in a figure how far our nature is enlightened or unenlightened: --Behold! human beings living in a underground den, which has a mouth open towards the light and reaching all along the den; here they have been from their childhood, and have their legs and necks chained so that they cannot move, and can only see before them, being prevented by the chains from turning round their heads. Above and behind them a fire is blazing at a distance, and between the fire and the prisoners there is a ...

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 ...

Introduction

Creativity is the gift given to man by nature. Human Creativity knows no bound. Innovative people find inspiration to improve their work in each and everything they observe. Sky is the limit for those with innovativeness. Nature is like a teacher for man, and hence, it is the source of inspiration for flourishing the creativity. Nature is involved in every creative work, may it be art, painting, sculpture, or even architecture. If we observe the world around us, we can find several examples of creative works. If the creative work is to be applied in various fields, the experts ...

Geometry of Plane Shapes

This is a branch of mathematics that is basically concerned with shapes and their properties. The shapes involved here are plane shapes (geometry) which have to do with lines, circles, triangles, rectangles, squares and other polygons which include pentagons, hexagons, octagons etc. other types of shapes are solid geometry (including cubes, pyramids, prisms) The general properties of planes shapes also called flat surfaces are that we can calculate their areas and perimeter or distance around the shape. We however cannot find their volumes and their total surface areas because their thicknesses (or widths or breadth) are really negligible compared ...

Mathematics is a creative and reasoning activity engaging generalization and abstraction to recognize, define and use relationships and pattern. Math’s symbolic nature gives a powerful, concise and precise means of communication. Mathematical concepts have progressed across all humanities from ancient times and are always advancing. It is essential to technological and scientific development in many arenas of endeavor. Moreover, to its applied usage, learning mathematics is a valuable quest in its own right, giving opportunities for challenge, originality, and leisure (Board of Studies NSW, 2012). To learn mathematics, students must be taught with a curriculum or syllabus that ...

Computer Numerical Control

Computer Numerical Control (CNC), initially known as Numerical Control (NC), is the process of automating operations of a manufacturing machine depending on coding of letters, numbers and special characters. It involves the operation of conceptually programmed commands on a storage medium. It uses computers on a very large scale of the control where a set of coded commands or instructions are used to execute operation. The instructions are referred to as programs which are translated into electrical signals for input to motors that run the machines (Hauth 2011). The process of creating programs using numerical control is known as ...

Abstract

Ranked among the top 7 heritage sites around the world by UNESCO, Stonehenge is one of the most picturesque marvels of the medieval world. Standing isolated in Wiltshire, England, the prehistoric monument has been a destination for well over 800,000 tourists from all over the world every year. With many theories surrounding its construction and purpose, architects and archeologists have put their minds together in trying to come up with a scientifically acceptable explanation of the monument’s coming into being. Today, many questions surround Stonehenge, with hundreds of documentaries giving different accounts, and crediting different people for ...

Abstract

Ranked among the top 7 heritage sites around the world by UNESCO, Stonehenge is one of the most picturesque marvels of the medieval world. Standing isolated in Wiltshire, England, the prehistoric monument has been a destination for well over 800,000 tourists from all over the world every year. With many theories surrounding its construction and purpose, architects and archeologists have put their minds together in trying to come up with a scientifically acceptable explanation of the monument’s coming into being. Today, many questions surround Stonehenge, with hundreds of documentaries giving different accounts, and crediting different people for ...

Introduction

In the 19th and 2oth centuries, artists found new ways of representing their work that was opposed to the conventional way in which art was done. Many of them developed new styles that incorporated modern art which sought to highlight the aspect of postmodernism in the ways of life of the people. Such art was different from what was identified in the centuries that were prior to the 18th, especially what was the case in the renaissance. The artists curved art and offered continuity if what their predecessors had left, but only did so with a sense of freedom ...

The Pantheon is one of the most recognizable ancient buildings in Rome, Italy. The building has stood for thousands of years and was constructed under the rule of Emperor Augustus. The name comes from for two Greek words. The first is “pan” which translates to everything. The second is “teon” that essentially translates to divine. The Pantheon was constructed in 126 AD. The architects of this phenomenal building were Marcus Agrippa, who was assisted by Apollodorus of Damascus. The Pantheon has often received wide praise and acclaim for its architectural design as well as its concept of space. It ...

Sophie Germain

Learning about women mathematicians and inventors is an instance that presents must scepticism due to the Romanisation that only men in the early years have held interest in math or science. However, there were notable women figures as noted by Osen (1975) in these two fields that have enabled men to understand unfamiliar concepts these women were able to address. One of these women was the Frenchwoman Sophie Germain. Sophie Germain was born to Ambroise Francois and Marie Germain on April 1, 1776. France, in this period, was filled with political conflicts considering the late 18th century France was ...

It is appropriate to note that often conducted by historians comparison of philosophy of Descartes and Plato on the grounds that both saw in mathematics the science that was the most reliable of the sciences and believed that only it can provide the basis for physics, that is why many of philosophers and historians lose sight of the differences between these thinkers in understanding what mathematics itself and its role in cognition. First of all, Plato saw in mathematics primarily a means to prepare the mind to comprehend some super-sensible reality that was the intelligible world of ideas, whereas ...

Introduction

During this time when child labor was rampant, several organizations came up to rescue the children from this injustice, and this led to the establishment of different learning centers. The result of the establishment of schools in the early 1900s saw significant changes in an education system that was made available and accessible to the children across the nation (Fraser, 2014). In late 1800 when it was now approaching the 19th century, it is notable that the number of public schools was mushrooming, and several nations saw the necessity for school attendance. By the period of the early 1900s, ...

Question One

The most ideal access control for accommodating these permissions in the ACME Inc Human Resource department is the role based access control. The Role Based Access Control approach to securing access to the Human Resource management system bases access control decisions on the functions that a particular user is allowed to perform. The approach is widely used for non military enterprises with several employees with different roles and functions (Ferraiolo, Sandhu, Gavrila, Kuhn, & Chandramouli, 2001). Role Based Access Control method of access control is ideal for these permissions since the users are categorized and assigned different roles in the ...

Learning how to study and understand great art provide one with a remarkable prosperity of great artistic works. Accordingly, an artist’s visual language and the ability to read helps in opening up new ways of seeing enabling one to comprehend the unfolding of history and historical events. Ultimately, art helps to reveal the human experiences in all their lively emotional and dynamic existence. In short, the ability to demystify imagery as well as the motives of art enables one to understand historical events and to challenge the contemporary arrangements. Of note is that there are technical skills and ...

In his article, Multiplicitous and Inorganic Bodies, Lynn tackles the relevance of understanding the principles of proportional geometry. By incorporating this principles on architectural designs, architects can achieve harmony which results to a natural, well-crafted work (Lynn, 1992). As a professor of architecture, Lynn is thoroughly concerned with the spatial bodies of inanimate objects he refers to as ‘organisms’. Lynn argues that in order to better understand any object, destroying it would be the first option. Similarly, biological sciences attempt to study the vital functions of the organs through live dissection and open surgery. In architecture, creating a plan ...

Introduction

Leonardo da Vinci (1452 – 1519) was around 13 years old when his family moved to Florence from the Tuscan village of Vinci. In youth he was an apprentice of the Florentine painter and sculptor Verrocchio. In 1481 or 1482 Leonardo travelled to Milan to work for the ruling Sforza family. There he spent much of his time on “military and civil engineering projects, including both urban-renewal and fortification plans for the city”. At the same time he created few key paintings of the Renaissance: the altarpiece “The Virgin of the Rocks” (1483) for the chapel in the church of ...

1- The chapter opens with these words: “ Neeru, shouei, maima, aqua. In any language, water is the most abundant compound on the surface of the Earth.” - Explain the term compound and also why water is not an element. Answer: Compound is a chemical entity made from combination of two or more different elements. These elements lose their individual identities when they combine to form a compound and possess unique properties subjected to that compound. Water is made from two molecules of hydrogen and one molecule of oxygen. Hydrogen and oxygen individually are elements but when combined in the ...

There have been events in history during which knowledge was advanced because people questioned the status quo. Historically, much of science and technology was formed and based on religious perspectives. Governments and the church crafted institutions that fit with the prevalent and accepted attitudes of the time. However, sometimes those attitudes changed forever because of a new discovery.

Part I Augustine's The City of God

Augustine wrote his massive tome titled The City of God in response to the claim by Romans that Christians did not properly support the Roman government because Christians were preoccupied worshipping God. Also at issue with the Romans was the Christian ...

[Client’s Name] [Client’s Professor] [Client’s Subject] 2. One day you receive the following letter:

I am in the process of putting together a must-read list of great philosophers. Some of the works that have been recommended to me are Plato’s Phaedo, Descartes’ Meditations, Berkeley’s Three Dialogues, Kant’s Prolegomena, and Schlick’s “Positivism and Realism.” I understand that you have recently studied these works in depth, and I would value your opinion. Please choose one of these works and tell me whether you think its philosophical content justifies putting it on my list. Explain ...

Cocherova, Elena, Gabriel Malicky, Peter Kupec, Vladimir Stofanik, & Jozef Pucik. "Evaluation of Resonance Properties of the Human Body Models Situated in the RF Field." Advances in Electrical and Electronic Engineering[Online], 10.5 (2012): 345 - 349. Web. 7 Mar. 2013 Application of radiofrequency (RF) is becoming increasingly common in the development of medical therapies. One of the main concerns is the possibility for unwanted side effects. In this regard, temperature effects are perhaps the most commonly described. These effects are mainly attributed to the absorption of the RF field by human tissues. Estimating experimentally the impact of RF ...

Impact of Technology on Supporting First Grade Students’ Creative Thinking in Mathematics

Abstract: This research provides an in-depth examination of the impact of technology in supporting the acquisition of mathematical creative thinking skills among first-grade student. It examines how technology can be properly integrated with mathematics to promote math’s performance without declining creative thinking skills in mathematics among the elementary students. Social constructivism theory as the method of learning in first-grade mathematics students is advocated; it defines the developmental stages of a child and relates to his or her learning and problem-solving ability. Its requirements can properly be integrated to Computer-aided learning processes. The value and importance of common core ...

The “Poetics of Space” is written by well acclaimed writer Professor G. Bachelard. The writer in his book described various aspects of domestic space. Author elaborates the relationship between various forms of geometry and human inhabitants. For a child his house is first cosmos for him, feeling of various things like stairs, doorknobs, corners of home and other things of house last forever. Bachelard not only talked about happy houses but also covered houses in storm. He said that storms make house more enjoyable, and place of closeness and immensity. Bachelard defined living in a house as seashell living, ...

Suitability of biometric technology

The 9/11 had a profound impact in the world on security and the threat terrorism posed in a modern age. Airports around the world knew that they had to overhaul their existing security measures to ensure such mishaps are averted. The infrastructure of bridges, tubes, stock exchanges, landmark sites are ever more vulnerable than before. The issue of illegal immigrants took precedence to ensure that no illegal activity took place. Security in the western world acquired a new measure of urgency. ...

Introduction:

The word Renaissance literally means rebirth and it refers to how this era seemed to spring from the earlier Dark and Middle Ages with renewed spirit and restored interest in the classical Greek and Roman Civilizations. In reality it did not leap forth like Minerva from the head of Zeus, it evolved from changes introduced in the Middle Ages. The Middle Ages were a time of turmoil that emerged from the fragmented society that survived the fall of the Roman Empire and ended with the birth of the Renaissance. It roughly encompasses the start if the second millennium and ...

1. Problem Solving Project 1.1. How Mathematical Problem Solving Can Lead to Excellence, Personal Development and Integrity Outside of a Mathematics Classroom The philosophical understanding of the world, its general laws and basic scientific concepts is not possible without mathematics. Mathematical problem solving leads to excellence, personal development and integrity outside of a mathematics classroom. It helps to analyze, compare and classify objects, establish cause-and-effect relations and patterns, build logical chains of reasoning and develop algorithmic thinking. Mathematics allows us to develop some important mental faculties: analytical, deductive (the ability to generalize), critical, forward-looking (the ability to forecast, to ...

Before the onset of the seventeenth century, the Middle East had dominated in the area of mathematical ideas. Many philosophers and scientists came up with compelling ideas in mathematics and proved many formulas in mathematics from the Middle East. Essentially, there were distinct factors that influenced scholars and philosophers from this region to be competent in mathematics and other scientific inventions as they were. However, in the onset of the seventeenth century, Europe replaced the Middle East, which had been vastly associated with mathematical discoveries. Europe thus became the new engine house of mathematical ideas from the seventeenth century . ...

Most of the computer aided design programs that are used today in drafting may seem new to many people even though they have been in use for more than a decade. These programs trace their origin to about 50 years ago. The modern technology designs and drafting are viewed as a result of the sixteenth and seventeenth century development of the descriptive geometry. Most of the work aimed at developing computer aided drafting intensified in the post war era, with many people working at MIT on the numerical control of machine tools and automating drafting and designing. During the ...

A critical re-examination of Plato's Phaedo argument reveals that learning involves a recollection of prenatal knowledge. Plato`s thoughts on the knowledge that rests upon recollection is brought out through Socrates, his speaker. Socrates gives too much attention to the case of equal stones and sticks which are in most of the occasions viewed as existing without complete success that resembles a Form. Plato takes two different approaches in handling the theory of knowledge. In both the Phaedo and Meno, he presents this theory of knowledge as a recollection (Sedley, 1992, p 312). Plato presents his theory as a ...

Art & Architecture: Frank Lloyd Wright, Glasner House, Glencoe, 1905 (Formalist Interpretation)

The interpretation or criticism of any work gives a new insight as it needs a thorough research with external as well as internal factors. One cannot interpret architecture same as the interpretation of drawing, painting or sculpture. It needs a completely different approach. This paper is about the interpretation of a residential building Glasner House, which was built in the beginning of the 20th century. The building was a residential architecture planned and developed by creative American architect Frank Lloyd Wright. The architecture was one of the specimens of typical Prairie house. It was the symbol of the changing ...

According to the Council on Tall Building and Urban Habitat, The Burj Khalifa is the world’s tallest building based on height to top, height to highest occupied floor, and height to architectural top. The building is a multi-use Burj Dubai development tower with an approximate total area of 460,000 meters squared. It includes parking facilities, shopping malls, entertainment centers, offices, hotel, and residential (AL-KODMANY 2013, p. 12). The decision to construct this building was initiated by government’s idea to diversify from an oil-based economy to one that is tourism and service oriented. It is 828 meters ...

One of the most complicated machines in the world is human brain. Human beings have often pondered about its complexity and the beauty of its functioning. Man wanted to create an object that can think as similar as man. An object which can replicate the functioning of the human brain and give out the desired results. This innocuous desire of man has been the stepping stone for inventing a branch of study- Artificial Intelligence. The name as it seems, is not a very new concept. It has been in the minds of people ever since they began thinking. The ...

Introduction

Louis Khan was one of the most known personalities in the field of architecture during the twentieth century. His work was infusion of new and traditional design that significantly influential on the younger generation. Khan’s philosophy about architecture was broad and vast thus was involved in construction of several buildings. The designs of Khan are considered as pieces of excellence and perfection. The Khan’s Salk Institute is distinct from other architectures on the basis of its admiration material, texture, lights, geometry and essence of value concerns Solomon, (2008). This research paper aims at analyzing the Salk Institute ...

Generalizability

Husserl distinguishes procedure of generalization and specialization of procedures of formalization and deformalization. Generalization is the transition from the spirit to higher on the tree of generic entities and formalization - a "meaningful generalization in a purely formal logic." For example, the transition from "red" to "sensory quality" is a generalization, and the transition from "red" to "adjective" or "chalk" to "beings" or "existing" is a formalization. Similarly, deformalization is filling the empty logical form something meaningful and specialization - descent of the tree of generic. Examples of both we find in mathematics. Example of formalization: the transition from ...

Being the son of a painting teacher, Pablo Picasso had an early familiarity with the world of pictures. He studies under his father for a year, before he went to Paris to learn new styles and practise the same. He wanted to be an experimental painter. He had a good knowledge of Geometry and shapes; he evolved as a painter and learnt all the styles; ranging from the Blue period, rose period, the African styles and finally to cubism and surrealism and realism, of which he became a pioneer. In the Blue period, Picasso mainly focused on the shades ...

Descartes Skepticism

The philosophy of Descartes, usually called Cartesianism, is summarized in Discourse, in a more complete form - in the "Reflections" on First Philosophy (Meditationes de prima philosophia in qua Dei existentia et Animae immortalitas demonstratur, 1641, second edition with Objectiones Septimae, 1642, the Paris edition in French, with corrections Descartes in 1647) and from a different point of view in the "first principles of philosophy" (Principia philosophiae, 1644, a French translation in 1647). Sensory experience is not able to give reliable knowledge, because we are often faced with the illusions and hallucinations. In addition, the reasoning is deducing conclusions ...

- Abstract - Construction is an essential factor in the progress of the human civilization. It is in the construction industry that our infrastructure depends upon. The construction life cycle has several phases in it, one of these phases is the design phase. Before the advancement in computing technology - the invention of modern computers - construction engineers do manual designs; that is, through pencil and paper. This method of designing has become unfit as larger more complicated infrastructures and engineering designs develop. Hence, the need for a tool that will help construction engineers in the design phase. On ...

INTRODUCTION

In recent times, there has been an intense exploration of the Tunneling field effects transistors. This is because it has been discovered to have the potential to offer a way out of many concerns, especially the power concerns, in nanoelectronics. “Graphene nanoribbon was recently discovered and has been deemed ideal for tunneling FETs,” [1]. For graphene nanoribbons tunneling transistors, the subthreshold swing has been investigated to be a nonlinear function of temperature. The graphene nanoribbon has been declared as the best candidate for tunneling field effect transistor owing to its compatibility with planar processing, direct and narrow band gap, ...

Research Paper, for Arts Class

Art Deco is an ancient design and decoration style that emerged at the end of the nineteenth century. The design style succeeded Art Nouveau. After its emergence and adoption, the style reached a peak during the first and the Second World War (1918 to 1940). The First World War is documented as the mark of the conception and adoption of the style and is commonly referred to as the Art Deco era (Cook& Klotz, 1993). Subsequently, the name Art Deco was derived during a later time characterized by the events of the Exposition des Arts Decoratifs et Industriels which ...

<Student’s name> <Professor’s name>

Introduction Pi is a mathematical constant that expresses the ratio of the circumference to the length of its diameter. Denoted by the Greek letter π. First symbol of this number by the Greek letter π was taken by British mathematician Jones in 1706, and it became common after the works of Leonhard Euler in 1737.

This designation comes from the initial letters of the Greek words περιφέρεια - circle, peripherals and περίμετρος - perimeter.

History History of the number π ran parallel with the development of mathematics. Some authors divide the process into 3 periods: the ancient period during which π was studied from the standpoint of geometry, classical era, which followed the development ...

Introduction

The name diamond owes its origin to Greece. The term is a corruption of the Greek term Adamas, which means the invincible or the unbreakable. In mineralogy, diamond refers to an allotrope of carbons, which is capable of transiting from one state to another. The carbon atoms within the mineral are arranged in a cubic-centered crystal known as the diamond lattice. The diamond mineral has the formula C and exists in Isometric-Hexoctahedral (cubic) crystal system. It is also essential to note that diamond exists in the space group C63/mmc. Diamond exists in different varieties, as distinguished by their colors. ...

Introduction

Major contributions from the ancient world helped in the development and achievement of many milestones in today’s contemporary world. Technology used in prehistoric times was a profound accomplishment especially due to the wisdom inculcated by ancient scientists and engineers in making work easy and achievable. Their contributions aided in channeling efforts toward attaining realizable goals through mechanization and efficiency. The Roman Empire is credited with their impeccable exploits in architecture, engineering, mathematics and the sciences. As time progresses, ancient technology has been embraced and advanced to accommodate the changing trends in technological advancement. This paper will delve into ...

Mobile and smartphone devices have significantly changed the way people communicate. These devices have ensured that consumers are connected wherever they go and consumers expect and demand immediacy in almost everything (Karimi, 2013). With the growing phenomenon of mobility and the increase in penetration of advanced mobile applications and devices, insurance industry are at the forefront adopting mobile solutions, largely to keep pace with the ever increasing demand for real time services (Karimi, 2013). Insurance industry will increasingly experience the benefits of instant connectivity, and interacting with their prospects and customers in an interactive, speedy and personalized manner.

Some of the examples how insurance industry benefit from using mobile technology include:

- ...

Mathematics and sciences gave me one of the biggest challenges in my early education life. Having studied in a private school in the US where I was introduced to Everyday Math, I realized that it was not as easy as the tutors would want us to believe. An s early as I can remember, the educators used old and ineffective teaching criteria. Having to count from 0 to 1000 and playing games seemed tedious at the moment but it was as much impractical as I would learn later on. Addition and subtraction facts were scanty, and less emphasized. Until ...

Introduction

Laser technologies are used in different fields such as instrumentation, micro manufacturing, medicine, imaging and communications. Application of lasers to micro manufacturing is known to have a number of benefits which include capability of remote processing, noncontact processing, no tool wear, automation and the possibility of machining brittle and hard materials. The use of laser processes for specific manufacturing processes has been around for decades. However, the share of micro applications within the whole laser market was a minor one, with laser welding and cutting dominating the laser application sector. With the increase in miniaturization and higher integration of ...

Introduction

Fourier analysis is a field of mathematics that studies how general functions can be approximated or represented by the addition of simple trigonometric functions. Fourier analysis is named after a man who proved that representing a mathematical function in the form of a sum of a trigonometric function simplifies the inquiry into heat propagation. Joseph Fourier envisioned the Fourier series, a concept from which Fourier analysis grew. Presently, vast spectrums of mathematics involve Fourier analysis as a subject. The subject spans through the field of engineering and sciences. In these two fields, Fourier analysis involves the process through which ...