Essays on Equations

Abstract

Linear Regression (LR) forecasts the value of a random variable (dependent variable) for a given value of an associated independent variable. The regression equation provides the formula for such a calculation. Simple Exponential Smoothing (SES) forecasts the bases its forecasts on a weighted average of past data, with more weight on the more recent periods. A smoothing factor helps in providing weight. It generally forecasts for the short-term. In the present case, we forecast the sales data for year-2 for ABC Furniture Company using both the methods. For SES, we use two smoothing factors α equal to 0.15 and 0.90 ...

An Assay

Mathematics Background of the Maxwell equations Let us consider Maxwell equations system: (1) (2) This is a system of the two dependent variables, x and y, which generally depend on independent scalar, i. e. t (say, it be ‘time’).

In the matrix form it is:

dX/dt = A*X, (3) where X = (x; y) is a column of the two coordinates, x and y, on the Descartes’ plane;

A is a 2 x 2 matrix of scalars: a11, a12, a21, a22,

Where a11 = 0; a12 = –1; a21 = 1; a22 = 0. There we understand A*X as a product of matrices A (a 2 x 2 matrix) and X (a 1 x 2 matrix, or a column two-component vector of ...

ABET outcomes and civil engineering

The civil engineering is a specialized branch of the engineering that combines the use of chemistry, physics-based in calculus, differential equations, material resistance, and design. Each university and educational institution that offer civil engineering programs must meet with basic criteria established by the ABET (Brown School of Engineering) and other professional organizations related to civil engineering. The programs of civil engineering, additional to the hard core of the career (calculus and sciences), it is necessary to add other skills to the potential engineers to develop their skills with success, that skills are: management, leadership, ethics and public policies. The ...

Al-Khwarizmi is the great mathematician, astronomer, geographer and the founder of classical algebra. Although the life of Al-Khwarizmi is little known, he left us his works that cover different areas of knowledge: mathematics, astronomy, geography. Works of Al-Khwarizmi in mathematics are the most know. Two treatises such "The Book about the Indian account" and "Calculation by restoration and reduction" were translated into Latin and served for a long time the basic textbooks on mathematics. The arithmetic treatise of Al-Khwarizmi had an enormous influence on the development of science in the East and then in Europe. This work became the ...

Single Pump Results

Single Pump Calculations

Impeller Diameter (D) 114mm

Venturi inlet diameter (AP) 27.2mm Venturi throat diameter (AT) 18.5mm All calculations done assuming ρ= 1000 kg/m3 1. Graphs for the single pump test Figure 3: Percentage efficiency plotted against the flow rate in litres per second 2. Analysis of single pump graphs The graph in Figure 1 demonstrates an inverse correction that exists between flow rate and the size of the head. According to the curve, the fluid flow exhibits a maximum head (16.20795m) at zero flow (Derakhshan and Ahmad 807). On the other hand, the fluid flow demonstrates a minimum head (4.99490m) at the moment ...

Abstract

The experiment was done to investigate the relative roughness of pipe three though a plot of the friction factor verses the Reynolds number. A comparison of the obtain results was made against a Moody diagram. Also, additional comparison of the experimental results obtained from pipe 1 and 2 were made against theoretical values obtained through Prandtl and Blasius equations. This process entailed plotting the theoretical and the experimental values on the same comparative roughness against Reynolds number chart. Additional results of different types of flow, exhibited by the flowing fluid, was done and represented in a graph of head ...

This paper is a review of the book titled, Finance for nonfinancial managers: 24 lessons for understanding and evaluating financial health, by Katherine Wagner. The book will help managers from non-financial background to understand the languages and techniques used in finance. It can enhance the participation of these managers in financial matters and decision making. Complex financial lessons are presented in a form that could be understood by people from non-financial backgrounds. (Wagner, 2005) The first chapter of the book reviews basic terms used in recording, classifying and summarizing financial transactions. Knowing these terms will help the manager to ...

One of the most famous geniuses in the field of mathematics and philosophy in the history of mankind is a German named Gottfried Wilhelm Leibniz. Leibniz is a German mathematician and philosopher who lived during the 17th century (Simmons 32). He revolutionized the historical development of the field of philosophy and mathematics through his major contributions. He is widely known as the developer of the integral and differential calculus and he developed it independently with Isaac Newton. He is also known for some of the mathematical equations such as the Leibniz notation, Transcendental Law of Homogeneity and Law of ...

Introduction

In the adsorption-membrane hybrid system for ethanol steam reforming: Thermodynamics analysis by Dang, Amornchai, Yaneeporn, and Suttichai, (2011, International Journal of Hydrogen Energy), the authors seek to explain how an adsorption-membrane hybrid system, which uses a carbon (IV) oxide as an adsorbent can be used to eliminate unwanted carbon (IV) oxide in the hydrogen separation process. The authors aimed at improving the ethanol steam reforming performance through comparison of thermodynamic analysis that comprised of adsorptive, as well as membrane reactor. Then the authors were able to find that membrane separation process for the hydrogen removal had a higher impact ...

Chapter 1

Introduction

XX century was characterized with the significant technological progress, which has improved the life of people. Numerous products and services became available, labor and domestic life became easier and more comfortable. However, waste problem is the other side of the technological progress. The solid, liquid and gas waste are formed, and thus land, natural water and air quality degrade. Therefore, in XXI century the research efforts are dedicated to development of methods for sustainable use of water, gas, and solid resources. Wastewater polluted with dye residuals originate from textile, leather and food industry. These industries produce goods that ...

Dehydration is the excessive loss of water by an individual which in turn reciprocates in the disruption of the normal bodily functions. This improper functioning of the body is mainly caused by the fact that the human body is in a constant state of losing fluids and it is always required that the lost water be replaced, however if not replaced, then complications may arise. The elderly in the nursing homes tend to be victims of dehydration mainly due various reasons such as being unable to speak out when they need to be given fluids and further inadequate supervision ...

Mathematical model.

In 1985, Kallen, Arcuri and Murray (377-393) presented a simple mathematical model for the spread of the rabies epidemics to approximate the minimum width of a break and enable the control of the spatial progression of rabies.

Features and assumptions of the model.

The model developed by Kallen, Arcuri and Murray (377-393) was based on a deterministic approach where the fox populations were categorized into two groups, namely infective and susceptible foxes. In this classification, the infective foxes included those with rabies virus present in their saliva while the susceptible ones included those without traces of rabies virus in their saliva. One of the assumptions ...

Introduction

Civil engineering and its related fields are very diverse and entail both structural design and architectural work. Structural engineering as we can deduct from the term ‘structure’ deals with the physical components of a given design. For example, in the house construction process, the structural engineer considers all the aspects of materials to be used and consults with the architect to ensure the durability of the home. On the other hand, architectural engineering refers to the technology of incorporating the basic functional aspects of a given design to make sure that an ambient environment has been created. My journey ...

Literature Review

Abstract Innovations and modifications that produce cost reductions and enhance performance have driven the evolution of the classic solid rocket and the liquid bipropellant rocket into hybrid models that integrate the predominant solid and liquid model features into more sensical, more economical fabrications of design. The commercial spacecraft demands for aerospace propulsion have also evolved to include a market for environmentally sustainable hybrid rocket engines that has yet to fully mature to the Technology Readiness Level (TRL). Numerical modeling has been used as a tool to test the feasibility of new solid fuel types. ABS has been considered as ...

What many business majors fail to realize is that Algebra is absolutely crucial to their progression throughout their professional degree program. The reason that algebra is so vital to their business career strategy is that Algebra is utilized in many ways in the business world depending on which sector that you decide to work in for the long term. Where the knowledge of Algebra comes in is when you are tasked with the objective of solving equations in everyday problems that utilize Algebra. When we look Algebra in high school, we learned a great deal about how Algebra could ...

Ski jumping involves a lot of skill, and different factors affect how far the ski jumper would jump. Comprehending of the physics principles enable the skiers to execute certain moves. When these factors are manipulated in different scenarios, the desired distance is achieved. The sport of ski jumping requires one to jump the furthest down an inclined slope. It is done by gaining the maximum possible speed one can attain upon takeoff from the ramp. It is achieved by minimizing the frictional drag due to the air resistance between the air and the skier. The air resistance is significantly ...

Re:

Anyone who needs to perform time value of money calculations Definition A financial calculator is an instrument used to perform time value of money calculations in the finance and business environment The purpose of a calculator is to perform math calculations. If you press the “2” key, hit the “+” button, press the”2” key again and hit the “=” button, you will see the number 4 as the result. Of course we don’t need calculators for simple calculations like this. We need them for the more complicated ones that could take hours to do by hand, thus increasing ...

My Name

Shell and Tube Heat Exchanger Lab Report Objectives Introduction A heat exchanger refers to a gadget that aids the transfer of heat from one fluid to another. The fluids involved can either be in direct contact or separated to avoid mixing (Ramesh & Sekulic, 2003). They are in common use in sewage treatment, natural gas processing, petroleum refineries, petrochemical plants, chemical plants, power stations, air conditioning, refrigeration, and space heating. A perfect example of a heat exchanger is in the internal combustion engine (ICE) (Hiereth & Prenninger, 2010). In such a situation, a circulating fluid called engine cooler flows over the ...

Mathematics is the queen of sciences. It gives us a lot of things that successfully find their application in various scientific spheres but seem to be completely useless in ordinary daily life. One of such things is a matrix. Matrix helps us to solve differential equations, but one could say that its practical application looks rather vague. However, this statement is inaccurate. The aim of this paper is to discuss matrices and to observe their use in everyday life. For a start, let’s make a brief overview of matrices and their scientific applications. According to the textbook, a ...

Objective: Describe the linear motion of objects, and derive characteristics of that motion, by using the concepts and mathematics of kinematics.

Knowledge:

Questions What are the characteristics of an object in motion? What vocabulary can be used to discuss these characteristics? How can we describe these characteristics with standardized units? Key PointsEnsure understanding of displacement, velocity, time, and acceleration. Make sure students can convert between systems of measure.

Resources

Vocabulary: http://www.physicsclassroom.com/class/1DKin/Lesson-1/Introduction (And subsequent topics of Lesson 1) Units of Measure (Section 1): http://www.cwu.edu/~acquisto/kinematics.htm Introduction to Kinematics (Video): http://ed.ted.com/on/0N9oysTL Comprehension: Questions How can we translate certain characteristics of an ...

Introduction

The conversion of gas into liquid fuels is an innovative technology that is well-known to many people. This technique is so promising and enhancing new options for environmentally friendly manufacturing of fuels and chemicals as well as other natural gases. Looking into the large natural gas and coal reserves and deteriorating petroleum reserves all over the world, it is anticipated to play an important role in the future. Cobalt-based chemical agents are the ideal catalysts for hydrogen synthesis since they have a high FTS functionality, discernment for long-chain paraffin as well as a low process for the water-gas change ...

Philosophy and God

Philosophy and God

Abstract

The issue whether God really exist or it is just an imagination created in minds of people has been debated for centuries. Many scientists and philosophers believe that God does not exist. They have challenged believers to scientifically or logically prove that God really exists. Ontological arguments have been put in place by theology philosophers with the aim of proving, logically and scientifically, the existence of God. Philosophers such as Anselm and Aquinas have put across some logical arguments to prove that God really exists. On the other hand, some atheists such as Bertrand Russell have ...

Abstract

Permanent magnet synchronous motors (PMSM) are a type of motors that have permanent magnets mounted on the rotors instead of the rotor windings. This particular design gives the motor a few advantages over ordinary induction synchronous motors. The magnets attached to the rotor do not require excitation, which reduces the power consumption in PMSM. This gives the motor high operational efficiency and reduces the motor active diameter. PMSM are therefore associated with applications that require high torque but have limited operation space. The permanent magnets suffer from flux leakage and are therefore aligned in a pattern that minimizes flux ...

Proposal for Original Business Research

1.0. Introduction Human resource management has always been integrally attached to the business and its activities, as the degree of success or failure of a business largely relies on the effectiveness of HRM practices in an organization. One of the core areas to be pondered by human resource managers is performance appraisal when it comes to people management (Tooksoon, 2011). 1.1. Problem Statement High employee turnover is one of the most critical side-effects of growing dynamism of modern business climate. Employees are switching from company to company basing their decision of quitting for many good reasons. However, it is ...

Literature Review Assignment

Literature Review Assignment

Introduction

Among all the main modes of transportation, most individuals prefer to travel by air transportation or airplanes. The air travel stays as a large and growing industry and it facilitates tourism, economic growth, international investment, world trade, and is vital to the globalization of many industries. However, incidents of midair collisions that involved commercial planes called the attention of the public. In this event, the United States is promoting aviation safety. The influence of the American government is experienced in all areas of aviation from certifying the aircraft airworthiness, providing funds and establishing standards for the ...

Importance of Mathematics in our Daily Life

Introduction Many students had disliked mathematics or math and had given up on appreciating its use. Some do so since they see Math as a hard and intimidating subject, while some do not simply see the point of studying it. However, many have discovered and acknowledged that Math is indeed an important part of our lives. They had recognized that Math is an indispensable tool and that many encounters or transactions are highly dependent on it such as in banking and economics. Likewise, the technology in today’s society is the fruit of algorithms, several mathematical computations, and mathematical ...

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 ...

Trigonometric computations are used in nearly all fields of geometry, physics and engineering. The triangulation technique has the great importance, which allows measuring the distance in astronomy and geography, monitoring the satellite navigation system. Also trigonometry is used in such areas as music theory, acoustics, optics, analysis of financial markets, electronics, probability theory, statistics, biology, medicine and so on. Daniel Bernoulli, Fourier and Cauchy made a huge contribution to the involvement of trigonometry and developed the idea of trigonometric series. In the middle of the XVIII century, appeared the most important in its consequences "argument of a string". Euler ...

Introduction

In consolidation test of soil parameters of a sample, the settlement caused by applying an increased load to a soil sample is measured. These measurements involve the amount of soil that will decompress or compress on an application of a load.

Materials

Sieve nest Sieve brushes Tamper Consolidation device Displacement indicator Caliper Drying oven Moisture Procedure A soil sample of size finer than # 40 sieve is selected to be used in the experiment. The soil moisture content of the is first determined using a representative quantity and the mass of the remaining sample (Wd) which will be placed in the ...