Complex Numbers All complex numbers consist of a real and imaginary part. The imaginary part is a multiple of i (where i =[pic] ). We often use the letter ‘z’ to represent a complex number eg. z = 3 +5i The conjugate of z is written as z* or [pic] If z1 = a + bi then the conjugate of z (z* ) = a – bi Similarly if z2 = x – yi then the conjugate z2* = x + yi z z* will always be real (as i2 = -1) For two expressions containing complex numbers to be equal‚
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explore some of the concepts that may be used. The intention is that you should get prepared with the concepts rather than just focusing on a set of questions. ----------------------------------------------------------------------------------1. What are the total number of divisors of 600(including 1 and 600)? a. b. c. d. 24 40 16 20 2. What is the sum of the squares of the first 20 natural numbers (1 to 20)? a. b. c. d. 2870 2000 5650 44100 3. What is∑ items? a. b
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|The Mayan Number System | |The Mayan number system dates back to the fourth century and was approximately 1‚000 years more advanced than the Europeans of that | |time. This system is unique to our current decimal system‚ which has a base 10‚ in that the Mayan’s used a vigesimal system‚ which | |had a base 20. This system is believed to have been used because‚ since the Mayan’s lived
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The numbers are overwhelming: Over the next 17 years‚ 350 million rural residents (more than the entire U.S. population today) will leave the farm and move to China’s cities. That will bring the Chinese urban population from just under 600 million today to close to 1 billion‚ changing China into a country where more than two-thirds of its people are city dwellers‚ says Jonathan Woetzel‚ a director in McKinsey’s Shanghai office. The change will reverse China’s centuries-old identity as a largely rural
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&ATOMIC NUMBER AND MASS NUMBERS After reading this section you will be able to do the following: * Define and determine the atomic number of an atom. * Define and determine the mass number of an atom. What is an atom’s atomic number? The number of protons in the nucleus of an atom determines an element’s atomic number. In other words‚ each element has a unique number that identifies how many protons are in one atom of that element. For example‚ all hydrogen atoms‚ and only hydrogen atoms
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states he married while he was 33‚ then he had a son who lived for 42 years and the total years Diophantus lived according to the riddle was a total of 84 years. Through his advancements in mathematical notations and having brought symbolism to algebra‚ Diophantus earned the name “the father of algebra”. Even though Diophantus life was very private‚ his major achievement in which he was mostly known was his “Arithmetica”.
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The Number Devil The Number Devil - A Mathematical Adventure‚ by Hans Magnus Enzensberger‚ begins with a young boy named Robert who suffers from reoccurring nightmares. Whether he’s getting slurped up by a giant fish‚ sliding down an endless slide into a black hole‚ or falling into a raging river‚ his incredibly detailed dreams always seem to have a negative effect on him. Robert’s nightmares either frighten him‚ make him angry‚ or disappoint him. His one wish is to never dream again; however‚
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Nowadays‚ the number of children in the obese range is increasing in developed countries. This has led to a rise in the medical fees paid by the government to treat these children. Such medical expenses have reached an alarming rate that a solution is necessary to mitigate this problem. Who should we blame for the children’s health? What some people are maintaining is that the number of fast food outlets has risen dramatically. They argue that food rich in fat is usually prepared in these restaurants
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3 is a number‚ numeral‚ and glyph. It is the natural number following 2 and preceding 4. In mathematics Three is approximately π when doing rapid engineering guesses or estimates. The same is true if one wants a rough-and-ready estimate of e‚ which is actually approximately 2.71828. Three is the first odd prime number‚ and the second smallest prime. It is both the first Fermat prime and the first Mersenne prime‚ the only number that is both‚ as well as the first lucky prime. However‚ it is
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Counting Number : Is number we can use for counting things: 1‚ 2‚ 3‚ 4‚ 5‚ ... (and so on). Does not include zero; does not include negative numbers; does not include fraction (such as 6/7 or 9/7); does not include decimals (such as 0.87 or 1.9) Whole numbers : The numbers {0‚ 1‚ 2‚ 3‚ ...} There is no fractional or decimal part; and no negatives: 5‚ 49 and 980. Integers : Include the negative numbers AND the whole numbers. Example: {...‚ -3‚ -2‚ -1‚ 0‚ 1‚ 2‚ 3‚ ...} Rational numbers: It can
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