The letter sigma represents the sum or total of a numerical sequence. Recently, mathematicians have started to use the summation letter sigma to show how infinite sequences are added up. Furthermore, the summation process can also be used to represent the sum or total or matrices, polynomials and vectors. The summation operation is performed for a range of values or numbers to come up with a general term. The upper bound and the lower bound are the names given to the ending point and the starting point of the summation procedure.
In the example given below,
The sum of the sequence a1, a2, a3, a4, …, an is a1 + a2 + a3 + … + an which can be easily represented using the summation notation as ∑ni=1 ai, where i is the index of summation.
Depending on the application, the mathematician may choose to use variation for summation. For example, the summation process might use a defined set of numbers, denoted by the letter P. It is also possible to use more than one sigma sign depending on the requirements of the summation process. Consider learning the basics of algebra to better understand when and how the summation operation is applied.
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As discussed previously, the area enclosed by the curve or any geometrical figure is termed as the integration phenomenon. A complex equation solution should be performed to determine the area inside the curve. It is recommended to break the area into small pieces. Computing the area of these small pieces then determines the overall area under the curve. The integration operation is usually denoted by the Greek letter Pi.
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