This was the first introduction of the decimal number system to the Latin-speaking world. ... Due to the fact that one cannot reach the infinity, the limit of b/a tells us that Phi is an asymptote of the equation which calculates Fibonacci numbers. ... to scientists in the 1970's when they realized that even very simple equations can generate extremely complicated behavior. ... However, as it stands today, civilizations such as the Ancient Egyptians, Romans, and Greeks simply made observations and derived certain rules for those systems. ... In reading that, however, one needs to underst...

• Word Count: 3003
• Approx Pages: 12
• Grade Level: High School

As an object moves, it's mass increases, and time goes slower for the object. Exactly determining the position and momentum of an object is impossible. A particle is mostly here, but partially there, and partially somewhere else. A vacuum consists of electrons with negative mass. In vacuum, particles appear out of nothing for a very short period of time and then disappear. ...

• Word Count: 3720
• Approx Pages: 15
• Grade Level: High School

International Trade, Exchange Rates and Macroeconomic Policy A Report Contents: • Foreign Trade and the Balance of Payments • Exchange Rates • Babur • Exchange Rate Systems • Net Exports • FOREIGN TRADE & BALANCE OF PAYMENTS FOREIGN TRADE Foreign trade is the exchange of goods and services between different countries. ...

• Word Count: 3188
• Approx Pages: 13
• Grade Level: High School

Since the total consumption within the system for any given industry is found in the total of the coefficients of the columns, each column will add to 1 in a closed model. ... So under the closed model, the equation looks like this: Where  is the  consumption matrix and  is both the  production vector that meets the demands of each industry and the  demand vector. ... Then the system has reached a steady state. ... If there is an eigenvalue of one, then the equation for the eigenvector looks like: Subtracting the identity from  will always give a singular matrix as long as  i...

• Word Count: 4516
• Approx Pages: 18
• Grade Level: High School

Bass Benge NEMA_NMTA FES Hay and Purves Equal pay act Skill Mental requirements Skill Knowledge required Know-how Skill Responsibility Skill requirements Effort Supervisory controls Problem solving Effort Working conditions Physical requirements Responsibility Guidelines Accountability Responsibility Responsibility Job conditions Complexity Working conditions Working conditions Scope and effect Personal contacts Purpose of contacts Physical demands Work environment Table 1: Commonly used Compensable factors NEMA: National Electrical Manufacturers Associati...

• Word Count: 4634
• Approx Pages: 19
• Grade Level: High School

The objective of the ORPD is to minimize the system real power loss. ... To validate the proposed hybrid method, it is tested on two IEEE standard test systems having non-linear characteristics. ... Conclusions are drawn in section 7. 2.PROBLEM FORMATION The purpose of the ORPD is to minimize the system real power losses. ... Therefore, the equation (1) is changed to the following form: min Min = network real power loss = number of lines (1) The power loss is a non-linear function of bus voltages, which are functions of control variables. ... Vi & QGi V lim and = penalty terms in the equation ...

• Word Count: 3714
• Approx Pages: 15
• Grade Level: High School

The objective of the ORPD is to minimize the system real power loss. ... To validate the proposed hybrid method, it is tested on two IEEE standard test systems having non-linear characteristics. ... Therefore, the equation (1) is changed to the following form: min Min = network real power loss = number of lines (1) The power loss is a non-linear function of bus voltages, which are functions of control variables. ... Vi & QGi V lim and = penalty terms in the equation (8) are defined as follows: Q lim Gi Vmin if V Vmax  iii  min min  Q ifQQmax  Gi GiGi (9) min...

• Word Count: 3174
• Approx Pages: 13
• Has Bibliography
• Grade Level: High School

Have you ever wondered if we are truly alone in the Universe? The discovery of other intelligent life in the Universe would be the most important event in human history. For several hundreds of years, people have observed strange objects in the night sky, some of which are nothing more than...

• Word Count: 2957
• Approx Pages: 12
• Has Bibliography
• Grade Level: High School

"Size of a Garage-, "Square Footage-, "Time on Market-, "Number of Rooms-, "Number of Fireplaces-, "Number of Bathrooms-, "Heating System- and the "City- were attributes she thought would determine a house's price. ... When we are done with the regression procedure we will plot our "numbers- (I did not explain everything to her right away, just to avoid confusion) in a model for multiple regression with the equation-: Amy: "Who taught you all this?... Evaluation: Asking Price and Square Footage Outlier The graph above indicated a statistical straight line with the equa...

• Word Count: 6528
• Approx Pages: 26
• Grade Level: High School

The aerodynamics a stock car goes through during a race displays fundamentals in fluid mechanics. The car experiences drafts, drag, ground effect and down forces. Aerodynamic Factors: • Down Force • Drag • Ground Effect • Draft Figure 1 (Pressure Differentials) Airflow is the prime factor in car design for racing. Producing more down force gives a car more control and stability but sacrifices speed. Car designers use fluid mechanics to find a properly balanced net down force for each car. ...

• Word Count: 3179
• Approx Pages: 13
• Grade Level: High School

Applying the Einstein Field Equations to collapsing stars, Kurt Schwarzschild discovered the critical radius for a given mass at which matter would collapse into an infinitely dense state known as a singularity. ... Although many physicists doubted the existence of gravitational waves, physical evidence was presented when American researchers observed a binary pulsar system that was thought to consist of two neutron stars orbiting each other closely and rapidly. ... In other words, the stars were spiraling toward each other, and by the exact amount predicted if the system were losing...

• Word Count: 3068
• Approx Pages: 12
• Grade Level: High School

The rate at which substance is formed during electrolysis is dependent upon the current passed that system. Current is the flow of electrons through a system and is measured in amperes; the strength of current is dependent u111pon the amount of charge transferred in a unit of time (Kahn Academy, 2016). ... Current is directly proportional to the potential difference or voltage applied if the systems resistance is fixed and directly proportional to the electrical conductance of a cell if the voltage applied is constant. ... Faraday's laws of electrolysis are quantitative relationships whi...

• Word Count: 4896
• Approx Pages: 20
• Has Bibliography
• Grade Level: High School

Researchers are creating systems which can mimic human thought, understand speech, beat the best human chess player, and countless other feats never before possible. ... Another mathematician, Gottfried Wilhelm von Leibniz, improved Pascal's machine and made his own contribution to the philosophy of reasoning by proposing an easier way by making an equation. ... Thomas Jefferson, for example, was sure that such a system existed, and only needed to be discovered. ... George Boole proposed a system of "laws of thought," Boolean Logic, which uses "AND" and "OR" and "NOT" to establish how ide...

• Word Count: 5546
• Approx Pages: 22
• Has Bibliography
• Grade Level: High School

Internet Strategy Planning Any Internet project, like other IT systems, is designed to support our business. ... Other countries like France, Taiwan, Japan, Ireland and Austria are listed as e-business contenders, that is they have a decent infrastructure and a good business environment but some parts of the e-business equation are missing. ...

• Word Count: 3754
• Approx Pages: 15
• Grade Level: High School

They are salts of inorganic acceptors and organic donors consisting of large, cyclically conjugated electron systems that form coin-pile stacks in the solid state. ... It depends greatly on the activity of the choice of catalyst system. ...

• Word Count: 6720
• Approx Pages: 27
• Grade Level: High School

The factor that changes in the equation above is the presence of a man. ... Armed citizens pose a risk of punishment to criminals - perhaps more so than does the criminal justice system. Gun ownership may exert as much deterrent effect on violent crime and burglary as the criminal justice system does. ...

• Word Count: 5482
• Approx Pages: 22
• Grade Level: High School

The atmosphere of high energy, light and sound systems mixed with interactive theme nights will give club goers exceptional entertainment. ... Supplies $1,000 Ice Machine $4,000 Soft Drink Dispensers $2,000 Coffee Machine $200.00 Microwave $300.00 Administration Systems $9,200 Internet Web Site $5,000 Initial Working Capital $40,000 Total = $292,850.00 Not included in start-up costs - Staff wages - Liquor Tax - Sales Tax - Any additional state or provincial taxes Business Description The emergence of a need for a place to have fun in the Mansfield/Storr...

• Word Count: 6241
• Approx Pages: 25
• Grade Level: High School

The Treaty of Versailles was not the only cause of World War II, however was one of the important factors. The treaty was neither severe enough to keep Germany from once again being a significant power, nor was it lenient enough for the German people to meet its terms and move on. Instead it was ...

• Word Count: 2784
• Approx Pages: 11
• Grade Level: High School

Born and raised as a Roman Catholic, my parents tried their best to mold me not just into a kind and obedient kid but to be a girl with a strong faith in God. I remember that our apartment didn't have just one but a couple of altars. At a very young age, I was taught how to make the sign of the cros...

• Word Count: 3044
• Approx Pages: 12
• Grade Level: High School

Who could imagine that a show detailing the life of a chemistry teacher who turned to a life of drugs and crime become one of the greatest television dramas? What made this story so appealing to those who watched? Consider this quote, "Who are you talking to right now? Who is it you think you see? Do you know how much I make a year? ...

• Word Count: 3423
• Approx Pages: 14
• Has Bibliography
• Grade Level: High School

"Ask not what your country can do for you, but what you can do for your country."" -- John Fitzgerald Kennedy. Throughout the thousands of political speeches given during our country's history, there might not be a better anthem for political participation on an individual level. After letting JFK's...

• Word Count: 3261
• Approx Pages: 13
• Grade Level: High School

This is a simple example of how family members are bullied by other family members when money is in the equation. ... We find that this absence of compassion is existent in our American schools and certainly in our prison system. ...

• Word Count: 4826
• Approx Pages: 19
• Has Bibliography
• Grade Level: High School

Additionally, having practiced in the counseling field for many years I have encountered individuals who claimed to have a relationship with God through Jesus Christ, but whose lifestyle or belief system seemed to minimize or make irrelevant the character of God. ... The American judicial system is built upon this foundational principle, for instance. ...

• Word Count: 5514
• Approx Pages: 22
• Has Bibliography
• Grade Level: High School

Wall Street Movie Analysis Our values, beliefs, and culture influence how we behave ethically at home, dealing with friends, and in the business world. The movie "Wall Street" depicts tempting situations that result in crossing the line into an unethical world. Bud Fox (portrayed by Charlie Sheen) is a young stockbroker looking for a way to succeed and make it big. The movie begins with Bud telling a client that he had not suggested a particular stock purchased and that the client supposedly acted upon receipt of an insider tip. Bud's simple and ethical ways would drastically chan...

• Word Count: 3378
• Approx Pages: 14
• Grade Level: High School