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To begin with we have counting numbers. These numbers are also known as natural numbers and are denoted by a symbol 'N'. These numbers are obtained by adding one to the previous number. In other words once we know the first element we can obtain the elements following it by adding 1 to the successive elements. That is, we can have infinite (innumerable or a large number of them) number of them. Since natural numbers are infinite, we find it convenient to express them as a set. By set we mean a collection of any well-defined objects. Each individual object is also referred to as an element of that particular set. We should be clear that the concept of set can be used to represent infinite as well as finite number of elements. A simple example for finite number of elements would be that the vowels a, e, i, o and u can be expressed as a set. Generally the set of natural numbers is represented as:
N = {1, 2, 3,.............}.
Logarithm Functions : In this section we'll discuss look at a function which is related to the exponential functions we will learn logarithms in this section. Logarithms are one o
The following graph shows the growth of the median home value in a particular region of the United States starting in 1996. The graphs starts in 1996 and shows the trend through t
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construct the green''s function that satisfies dG''''-(2x+1)G''+(x+1)G=delta(x-s), G(0,s)=G(1,s)=0
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Variance Consider the example of investment opportunities. The expected gains were Rs.114 and Rs.81 respectively. The fact is that an investor also looks at the dispersion befo
107*98
Kristen earns $550 each week after taxes. She deposits 10% of her income in a savings account and 7% in a retirement fund. How much does Kristen have left after the money is taken
Jessica has a picture in a frame with a total area of 288 in2. The dimension of the picture without the frame is 12 in through 14 in. What is the larger dimension, in inches, of th
On 30 June 2012 Bill purchase a home by taking out a 30 year mortgage of $600,000 at 6% interest per annum, compounded months. Repayments are made at the end of each month. (a) Cal
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