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At times we consider only the magnitude of the number without attaching much importance to its direction. Under these circumstances the sign attached with the number becomes redundant. This concept can also be expressed in terms of the absolute value of a number. The absolute value is nothing but the magnitude of the real number. In this context, the absolute value can never be negative as distance cannot be negative. That is |-3| = |+3| = 3.
The same concept when considered in the light of real numbers will be
|-x| = x, if x < 0
|x| = x, if x > 0.
Apart from these sets we also have even numbers, odd numbers, prime and composite numbers. A number is defined as an even number if it is exactly divisible by 2 otherwise, it is an odd number. A number is said to be a prime number if it has its factors as 1 and itself. That is, if we observe the factors of numbers like 2, 3, 5, 7, 11 etc. we find that they do not have other factors other than 1 and themselves. Numbers like 4, 15 and 96 which have factors other than 1 and itself are called composite numbers.
1. Consider a source with 4 symbols {a,b,c,d}. The probability of the 4 symbols are P(a)=0.4, p(b) = 0.1, p(c)=0.2, p(d)= 0.3. a. Design a Huffman codebook for these symbols.
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4. Two hosts, one on East (host A) and one on the west coast (host B) of the USA are exchanging data. Suppose A is sending a large file to B. The file is split into packets of size
You would like to have $4000 in four years for a special vacation following graduation by making deposits at the end of every 6 months in an annuity that pays 7% compounded semiann
tan9x = (tan7x + tan2x)/(1 - tan7x*tan2x) here its given 1 - tan2x*tan7x= 0 implies tan9x = infinity since tan9x = (3tan3x - tan^3(3x))/(1 - 3tan^2 (3x)) = infinity implies
I don''t understand so what is 3 (8-x);24-15
We want to find the integral of a function at an arbitrary location x from the origin. Thus, where I(x=0) is the value of the integral for all times less than 0. (Essenti
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Can anybody provide me the solution of the following example? You are specified the universal set as T = {1, 2, 3, 4, 5, 6, 7, 8} And the given subjects of the universal s
Direction Cosines This application of the dot product needs that we be in three dimensional (3D) space not like all the other applications we have looked at to this point.
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