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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,.............}.
Proof of: lim q →0 (cos q -1) / q = 0 We will begin by doing the following, lim q →0 (cosq -1)/q = lim q →0 ((cosq - 1)(cosq + 1))/(q (cosq + 1)) = lim q
Two sessions of swimming lessons were held at a pool. In the first session 40 students attended. Of these 40 students 60% were girls. How many girls attended the first session of s
Telescoping Series It's now time to look at the telescoping series. In this section we are going to look at a series that is termed a telescoping series. The name in this c
Following are some examples of complex numbers. 3 + 5i √6 -10i (4/5) + 1 16i 113 The last t
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A pole has to be erected at a point on the boundary of a circular park of diameter 13m in such a way that the differences of its distances from two diametrically opposite fixed gat
Compute the linear convolution of the discrete-time signal x(n) ={3, 2, 2,1} and the impulse response function of a filter h(n) = {2, 1, 3} using the DFT and the IDFT.
Prove that in any triangle the sum of the squares of any two sides is equal to twice the square of half of the third side together with twice the square of the median, which bisect
WHAT IS PRECALC
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