Purdue University at Fort Wayne

Title I
The Anti-derivative of ex2

The base function ex2 is used in a variety of statistical analysis applications primarily in the realm of normal distribution. Calculations are performed with great precision, strange to say, none uses the anti-derivative . This paper will introduce the anti-derivative of the function analytically and for the first time along with proof and examples .

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Title II
The Array of Remainders

Remainders of successive division by a given divisor are organized in a particular order and placed in a matrix. The matrix thus formed will bear thought-provoking and useful applications in number theory which will be revealed in length in this paper.

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