Proposal for Applied Electronics Project

1)Shaddow Activated Motion Detector
2)Crystal Radio
3)

Problem: 3 X 3 table and combinatorics

Here is a problem which requires a  solution:

I have a 3 x 3 table with 9 elements in each of the  which looks a lot like
the above.  There are nine elements in the table and in each their respective squares from ‘a’ to ‘i’.

How many possible ways elements within the table can be arranged to form different arrangements.

Note: The general principle for the permutation of elements placed in a straight line formation as the following:  a, b, c, d, e, f, g, would yield 7! =5040 perms.
Hence, is it legal to conclude that this principle can be applied to given problem? State your reason why so?

Fourier Transforms and It’s Necessity

 Very often in Engineering we come across the need to employ the use of Fourier Transforms and subsequently most students fail to understand the underlying structure and nature of transforms of this kind.

According to the entry regarding Fourier transforms found in Wikipedia, “the Fourier transform decomposes a function into a continuous spectrum of its frequency components, and the inverse transform synthesizes a function from its spectrum of frequency components“.

Imagine this;

You’re dining at a lounge,there’s a guitarist on the stage and he is strumming his guitar. Each strum he makes is a chord played. A chord is a combination of  two or more notes hence, it can be likened to a function.

Now here’s the proposed problem, with a given chord (comprising of a series of different vibrations/frequency)  how is one going to decide which notes also known as frequency components are ),being played to form that chord? That’s exactly why mathematicians say, “Fourier Transforms have come to save the day!”For more information on Fourier Transforms and Series’ please visit Eric Weinstein’s Math World  http://mathworld.wolfram.com/FourierTransform.html the web’s most extensive site in relation to mathematics.

Steps in Solving Fourier Series Problems

Before we proceed with solving the problem we must make certain the rule involved in Fourier series  and any problem relating to fourier series will exceed the rule unless stated. The rule is as follows:

Step 1: Determine if the given function f(t) is an even or odd function using the following properties,

f(t) = f(-t) [even function]
f(t) = -f(t) [odd function]

Step 2: If f(t) is an even function the term b_n (as seen in the formula) will result in b_n=0

Step 3: Find the components that must be sought before proceeding, the Period, T₀ = period from start of signal to end of signal before repetition ,  f₀ = T₀^-1 ,  a₀ , ω₀= 2πf.

A Tribute to Mathematics.

Through my observations, I have noted that Mathematics is an art and not mammoth brain-crusher. It is not the least bit an unfriendly foe. It is far much more  beautiful than the most beautiful wife that can be made available to any man.

Mathematics is a dance of logic and reasoning on planes of austere nature. There is so much to it that it will continue to evolve and improve and consequently affect every organism in the universe.

Mathematics is not about solving a mystery, yet it is a mysterious art of problem solving.

By far I have come to see that mathematics is not entirely limited to arithmetics but is a trinity of the faculties of variables, coefficients, and constants united by operations. And the trinity is called a solution.

Complications that rise within the field of Mathematics rest in the alteration of manifestation with respect to operations, for instance when the manifestation of the operation of adding is altered, the effect is multiplication and when the effect is altered the corresponding effect results in powers when reversed gives birth to roots.

In brief, Mathematics is the mother of all methods and is the father of a desired solution.

Who is Princeton Prasad Pillai?

Who am I? Am I only the only son to my beautiful Parents , Sir Alex Veera and Lady Matilda Dawson? Am I only the Brother of two beautiful sisters, Princess Prisca and Princess Pam?

Who am I?

Perhaps I am me, perhaps still of the ancients. The metaphorical, overtly eccentric, a lost soul, or the beast of the end times.

Who am I?

Am I a descendent of Socrates, teacher to Plato and father to the inquisitive?

Am I your reflection, or the prophet’s in one body? Am I the children of the future come now to learn of old things and to impart unto many in times ahead of me?

Who am I?

I am who I am if I am not whoever you seek to equate me to. I am the one and only and all that I am I have inherited from the heart and hands of the Living Non-Matter beyond the veils of darkness.

I am a god.

And if  you are who are, who are you?

The Professor’s Note

Welcome,

I am as my father named me, Princeton Prasad Pillay, bearing only a middle name given by my mother at birth on July 01, 1984. I am the self professed Professor and from then until forever, you and the rest of the world shall know me as Professor Prasad. My fields of interests are mathematics and physics and I am furthering a model of life and existence through mathematical laws and concepts.

Do however, provide allowance for posts that may not at all relate to science and mathematics as I share the belief of Albert Einstein that, science and mathematics is colorless in the absence of philosophy.

Bookmark this site and please come back again.

“Everything is in constant motion of building and reduction is a stabilizer that makes firm the foundations of that which was made to stand.” – Professor Prasad