[3]
2. Body .
To solve the exponential function f(x)=mx, the most
common method of calculating exponential functions has been to directly
multiply m, x number of times. This method of calculation is extremely
slow especially if the exponent has a large value. For, example
calculating
f(x) = 35123000 involves multiplying 35, 123,000
times. This is an extremely difficult task and is frankly almost
impossible if calculated manually. Computers are best suited to
calculate this function because computers do not get tired of performing
repetitive tasks. However, there is a need to come up with a more
efficient way of calculating the exponential function. This is important
because exponential functions are very important in mathematics and
engineering fields.
This paper introduces a new, novel method of calculating the exponential
function. This method is extremely efficient and it uses the
2n sequence at its foundation. One can solve the
exponential function quicker if one uses the 2n table.
A sample of the table will be displayed towards the end of the paper.
I have decided to call this method the Ngazi method. Ngazi is a swahili
word for ladder or stairs. Ngazi is a two syllable word which is
pronounced as (nga-zi) where /n/ and /g/ are pronounced as one syllable.[5] I named this method ngazi or stairs
because the results of the first multiplication are used in the second
multiplication and the results of the second multiplication are used in
the third multiplication and so on. Therefore the first multiplication
is linked to the second multiplication and the second multiplication is
linked to the third multiplication and this reminds the author of a
flight of stairs where one stair leads to the next stair up to the final
stair.