Complex Number System Arithmetic A complex number is an expression in the form: a + bi where a and b are real numbers. The symbol i is defined as √ 1. a is the real part of the complex number‚ and b is the complex part of the complex number. If a complex number has real part as a = 0‚ then it is called a pure imaginary number. All real numbers can be expressed as complex numbers with complex part b = 0. -5 + 2i 3i 10 real part –5; imaginary part 2 real part 0; imaginary part 3 real part 10; imaginary
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NUMBER SYSTEM Definition It defines how a number can be represented using distinct symbols. A number can be represented differently in different systems‚ for instance the two number systems (2A) base 16 and (52) base 8 both refer to the same quantity though the representations are different. When we type some letters or words‚ the computer translates them in numbers as computers can understand only numbers. A computer can understand positional number system where there are only a few symbols
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would be without irrational numbers? If the great Pythagorean hyppasus or any other mathematician would have not ever thought of such numbers? Before ‚understanding the development of irrational numbers ‚we should understand what these numbers originally are and who discovered them? In mathematics‚ an irrational number is any real number that cannot be expressed as a ratio a/b‚ where a and b are integers and b is non-zero. Irrational numbers are those real numbers that cannot be represented as
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Quantum Numbers Quantum Numbers The Bohr model was a one-dimensional model that used one quantum number to describe the distribution of electrons in the atom. The only information that was important was the size of the orbit‚ which was described by the n quantum number. Schrödinger’s model allowed the electron to occupy three-dimensional space. It therefore required three coordinates‚ or three quantum numbers‚ to describe the orbitals in which electrons can be found. The three coordinates that
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REAL NUMBERS Q.1 Determine the prime factorization of the number 556920. (1 Mark) (Ans) 23 x 32 x 5 x 7 x 13 x 17 Explanation : Using the Prime factorization‚ we have 556920 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 = 23 x 32 x 5 x 7 x 13 x 17 Q.2 Use Euclid’s division algorithm to find the HCF of 210 and 55. (1 Mark) (Ans) 5 Explanation: 5 ‚ Given integers are 210 and 55 such that 210 > 55. Applying Euclid’s division leema to 210 and 55‚ we get 210 = 55 x 3 + 45 ………
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Assignment Simple Superstitions: Number “thirteen” One of the pseudoscientific claim for the Number “thirteenth” is that people think it is just a superstition when some people believe in it and some people don’t. Everyone has their own opinion and belief in particular things. The Number “thirteenth” is most likely known for its unlucky date‚ unlucky number‚ and its unlucky self. The Number “thirteenth” has so much history to it‚ to why it’s unlucky. People believe the number thirteenth is unlucky‚ and
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your free time? Who do you like to spend your free time with? What gives you a sense of purpose or boost your self-esteem? Everyone wants to feel like they belong somewhere. People need positive face to face contact with others to feel like they have a sense of purpose. A group you could say you fit in with. If it were not for my friends‚ my life would be dull and boring‚ even a little depressing. I would not have that sense of belonging or support outside of my family‚ and everyone needs time always
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OVERVIEW INDEX NUMBERS compare figures which show changes in a given variable. The most common variables used in index numbers are price and quantity. By getting the difference of the index numbers‚ we are able to determine the relative or percent change in the price or quantity of a commodity between two periods of time or two localities. Among the more commonly used index numbers are the consumer price index‚ retail price index‚ wholesale price index‚ and the cost-of-living index. DEFINITION
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UNIVERSAL VIRTUAL CONTENT ACADEMY (UVC) CPA PAPER 5 Index numbers By the end of topic‚ participants should be able to; 1. Appreciate the usefulness of index numbers in monitoring changes over time 1. Calculate simple indices 2. Determine simple aggregate price indices 3. Use laspeyre’s and Paashe’s price indices to determine weighted indices. What is an index number? An index number is a statistical measure designed to show/ monitor changes over a period of time in the price‚ quantity
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Common Sense and Viewpoints 1. Unpopular community facilities – 2011 AL Page 1 Think about! – Locate unpopular facilities in residential areas What kinds of facilities are unpopular? Why many people in community oppose these facilities? What are their arguments? How to strike a balance between the residents’ viewpoints and the needs of constructing some unpopular community facilities? Page 2 How to persuade the residents to accept unpopular facilities in
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