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Maths Portfolio

Population Growth

Population growth is an extremely relevant study considering its boom in recent centuries and consequently the problems that this may cause on resources. It has therefore become imperative to develop means by which population sizes can be predicted into the future. This can achieved through mathematical modeling whereby a function is attached to a population growth curve.

The purpose of this investigation is to create such a function from the population growth curve of England and Wales from 1801 to 151.

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NB Although most populations follow a relatively sequential and predictable growth, the fact that population growth is a biological process means that mathematical modeling will never be a perfect means of predicting future populations. Erratic abiotic factors can disrupt normal growth in a capricious and unpredictable manner. Nevertheless, modeling does offer a useful, albeit limited means of looking into the future from our observations of the past and at the moment it is our only means of doing so.

Population Growth Curve for England and Wales 1801-151 (fig 1.0)

The curve follows a growth pattern similar to exponential growth from 1801 to 111. At this point there is a noticeable drop in growth which largely falls away from the expected growth of the curve. Growth for 111 to 151 is largely constant.

Since

Population growth = birth rate death rate

The sudden change in concavity from 111 onwards could be due to the extremely high death rate during World War One. This very drastically upset the growing but balance between these two variables from 1801 to 111. During WWI a very high death rate destroyed this steady growth reducing the difference and consequently resulting in a much lower growth rate for this time period. When modeling this curve the prevalent growth rate before 111 can be taken with an adjustment for the change during 111 to 11. Also, the time period 141 to 151 also experienced a war further disrupting the growth. The sudden change can further be expressed in figures

Furthermore an average per year can be taken clearly illustrating the sudden change in growth.

Although this is a very superficial calculation it clearly demonstrates the change in growth. Also, this calculation works on the assumption that growth is constant which is not necessarily true as the curve is in fact exponential.

Total Population change from 1801 to 151 = 48655 people

Average population change = 46 people per annum

Average Growth Rate

Average growth rate This is the increase in population per annum

This equation ultimately is exactly the same as the equation for gradient

as population rises on the y-axis and time on the x-axis.

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Essays on Bluetooth Technology6 Looking after your teeth

By the way if, youre wondering where the Bluetooth name originally came from, it named after a Danish Viking and King, Harald Blåtand (translated as Bluetooth in English), who lived in the latter part of the 10th century. Harald Blåtand united and controlled Denmark and Norway (hence the inspiration on the name uniting devices through Bluetooth). He got his name from his very dark hair which was unusual for Vikings, Blåtand means dark complexion. However a more popular, (but less likely reason), was that Old Harald had a inclination towards eating Blueberries , so much so his teeth became stained with the colour, leaving Harald with a rather unique set of molars. And you thought your teeth were bad...

Abstract

This paper discusses what is Bluetooth and where it got its name from. It shows how in 184 Ericsson Corporation began a study to examine radio links as an alternatives to the cables that linked its mobile phones with accessories. Out of this study came the specifications for Bluetooth wireless technology which means one no longer needs to connect, plug into, install, enable or configure the device settings . The paper describes the technology used, the IEEE standards utilized with Bluetooth, regulation of Bluetooth, its develoment and possible risks of utilizing Bluetooth.

From The Paper

The Bluetooth Special Interest Group, or SIG, is a group of companies working together to promote and define the Bluetooth specifications. The Bluetooth SIG was founded by five companies to develop the Bluetooth concept as a viable wireless technology standard. The companies are Ericsson, Intel, IBM, Toshiba and Nokia. Other companies like Microsoft, Lucent, Com and Motorola later joined the Bluetooth SIG. To date, more than 1,500 companies have joined this group and the specifications are developed, published and promoted by the Bluetooth SIG.

Keywords

CELLULAR COMPUTERS MOBILE NETWORKS SIG FCC

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Indian Cuisine is gaining popularity around globe because it is easy to prepare, tasty and its mainstay is grains which is what people want today. They want meals that are high in carbohydrates, have ample amounts of a variety of vegetables and contain complete proteins of sparse amounts of Indian food provides this and more; it also has the health promoting properties of various herbs, ginger and spices. Thus, Indian Cuisine is become popular due to its exotic flavors, easy to cook, different variety and healthful preparations.

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I wish that this story would have the happy ending that we all love and adore, but unfortunately, this is only the beginning of my war with trust. My father has put me into the most difficult situation thinkable. Should I hint the man I love to the door of death? Should I hint him to the door with the perfect damsel behind it?

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Hold up a second! Who is that prince over there in the third row looking better than ever? Oh-my-gosh! He is looking this way. I hope my hair is all in place. Wait a second! What am I doing? I can't let that other guy I was in love with five seconds ago die now.

Now this is when my great acting skills come in handy. Without thinking, I started acting like I was seriously choking. The man I was currently in love with came over to "save" me, and the man I was in love with five seconds ago stopped pacing towards the door to my right and looked up. After my new current man was done breaking my ribs (thinking he was helping), I threw my upper body over the balcony and sharply pointed to the door to my left. My lover from five seconds ago got the message and went to that door.

In the end, we both turned out just fine. I got married a couple weeks after the trial at the arena, and my ex-lover was married that day. It hurt my heart to see him go with that other perfect lady, but now I have my new prince. Who knew that I would meet the man that I will definitely love forever at such an awkward place and time.

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1. From what kind of crisis was Athens suffering before Solon was given power?

Factually, there were two main problems in Athens then. The first problem was the large amount of political parties. The second problem was an inequali

ty of people.

The amount of political parties was really big one party for one region. The party of the Men of the Mountains was democratic. The party of the Men o

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f the Plains was aristocratic. And the party of the Men of the Coast, being a mix of the first two parties, was just a barrier for both of them, so that neit

her could gain significant power.

Another, more important, problem was the inequality between poor and rich people. Actually, all the population was in debt of the rich. People were alm

ost enslaved.

So, the situation was so unstable, that there appeared the need of tyranny the power of one person, who would protect, redistribute, devise and refor

m.

. Why was Solon selected?

Solon was not only well-educated and intelligent person with high moral qualities, but he also was in good relations both with poor and rich.

Solon was really a smart, clever and spiritually developed person. He was a lover of knowledge and educated himself during entire life. He traveled a

lot, acquired friends and gained experience.

In addition, Solon alone had no enemies neither from rich people, nor from poor. He had enough money not to borrow and he didnt share injustice of the

rich. Moreover, he himself took the position of the poor rather than of the rich because he says that many evil men are rich and many good men are poor...

.

. How did Solon reform Athens?

In addition to help in discharging of debts, Solon has provided two very significant, important and appropriate reforms in Athens.

Firstly, he abolished all of the laws of Draco because of their harshness and the severity of punishment.

Secondly, he created a very developed system of Corn-measures, Cavalries, Ox-owners and Men without property. So, he had given more power to t

he demos.

He denied all products, except for oil, to be exported, because of unhealthy import/export practice, which existed then.

So, Solon had done a good job and had written really the best laws they (Athenians) could have received.

4. What factors motivated Solon to encourage foreigners to settle in Athens?

Solon gave the right to become the citizen only to people on exile and to merchants, which wanted to settle down in the city permanently with the entir

e family for trading. The purpose of such a decision was to attract tradesmen to the city, to support economy and, afterwards, enrich the city.

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Question A failure that I Experienced

A failure that shocked me the most happened recently in December 00. On the recommendation of my physics teacher , I was lucky enough to get enrolled into the Apotex, Canada's largest pharmaceutical company's mentorship program in collaboration with our school.. At the end of the program the students were to be awarded a certificate from Apotex inc., and bonus % in physics class as well as invaluable knowledge and understanding. In addition to that one of the students enrolling into this four-month program was expected to get a summer job at Apotex inc..I was willing to take part in the program mainly because of the impressive summer job opportunity.

For the first three months we were exposed to different areas of the company .I did fairly good on the first few meetings with our mentors from Apotex inc. There used to be a question session after every meeting, which I always took part in and then we used to get different tasks as homework, I made sure I was In time to hand those in. Thus I was a prominent student in the program and it looked like I would get the summer job for sure.

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The last meeting of the program was to meet a mentor. Every student had to go to the office of the company and see an employee. I was scheduled to see the Associate, professional Affairs of the company, Christopher Potter on the 5th of December.I made all the efforts to get done with my other projects so I can go see Chris on the set date. I tried to manage hard but the school workload was just too much for me to handle and I could not make a final appointment with Chris. All other students went and met their mentors. I felt really bad about it and didn't want to quit. Two weeks after my appointment date, I decided to call Chris and tell him I want to see him on a new date but I didn't have his contact number. I talked to the program incharge teacher but she told me that the program was over and she could not help me.

Though after a lot of struggle I finally made to see Chris but I had lost the opportunity to qualify for the summer job that could have turned into my full time future job. Just one meeting that I missed wiped out all the efforts I made throughout the three months. I only got % bonus and also got the certificate for participating in the program.

I have learned that to get the best, you have to prove you are the best. You have to go above and beyond to show your abilities. You have to be organized and have to have good team working skills and willingness to accept responsibilities. A little mistake can make you pay a high price.

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