An Introduction

You have discovered Mathology. I expect that you'll find it useful for all hypothetical applications, stochastic speculations, predictive theory, and can be pragmatically implemented as a ubiquitous guideline for all utilitarian purposes.

About Mathology

The axiomatic core of Mathology is summarized by the panoptic realization that the entirety of existence is comprised exclusively of mathematical ratios commensurable to telemetric methods of extrapolation and discovery, for a better understanding of reality. Each aspect of your biological experience, including interactions with others and our natural environment, is connected by equations that reveal the fabric of the universe. Mathology increases our awareness of numerical relationships between ourselves and the world.

Mathematics Is

Mathematics is the study of quantity, structure, space, relation, change, and various topics of pattern, form, and entity. Mathematicians seek out patterns and other quantitative dimensions, whether dealing with numbers, spaces, natural science, computers, etc. If in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of knowledge in mathematics.

Numerical Concerns

Without math, there would be no technology, cities or music, and art would cease to exist. You use math processes when you use clocks, calendars, books, vehicles, go shopping, make phone calls, draw pictures, play tunes or see a Doctor. The series of events that comprise your life are stored in order, sequentially in the memory banks of your mind. The application of mathematics in all aspects of life maximizes one's potential in every pursued direction and opens the mind to creativity and beauty. Calculators are everywhere.

Infinity Theorem

The interesting aspect of the Infinity Theorem is the potential for an infinite existence of our species. It gives solace to those seeking resolutions to questions like 'Where did it all begin?', 'Where will it all end?', 'Why did I show up?' or 'Why do I have to leave?' For those merely seeking a cool sounding theorem to claim they are interested in, this is the one for you. It goes as follows: The Universe is Infinite and Boundless Beyond Understanding.

The 7 Detriments

1] Accepting ignorance as normal. --- (You could become stuck that way.)
2] Not memorizing the number Pi. --- (You should exercise your neurons.)
3] Refusing Mathological guidance. --- (You would be lost without maths.)
4] Using Mathematics as an excuse. --- (You cannot run from numbers.)
5] Not understanding the Phi ratio. --- (Your world is this golden number.)
6] Taking Mathematics for granted. --- (You use numbers the entire day.)
7] Laughing at these 7 detriments. --- (A serious infraction of mathology!)

Stochastic Equations

A. Common Results.         (N<10)111/3N = 37

Any triple, repeating-digit number when divided by it's digital sum will give 37 as the answer.

     E.G.  777 / 21 = 37,   999 / 27 = 37

B. Obvious Equality.         x = xy(1/y)

Any number multiplied by any other number and then multiplied by it's reciprocal results in the original number.

     E.G.  2 = 2 x 3 (1 / 3),   4 = 4 x 9 (1 / 9)

C. Cubic Loops         sqrt(x)^3/x = sqrt(x)

When dividing the square root of a number that has been raised to the third power by the original number the result will be it's square root.

     E. G.  sqrt(9)^3 / 9 = sqrt(9)    sqrt(4)^3 / 4 = sqrt(4)

D. Oddness Formula.         2N ± 1 = Odd

If you add or subtract 1 from any Natural number that has been doubled then the result will be an odd number 

     E.G.  2 x 6 ± 1 = 11 or 13,   2 x 9 ± 1 = 17 or 19

E. Novem Aureum.         Fib12N mod 9 = 0

Every 12th number in the Fibonacci sequence is evenly divisible by 9.

     E.G.  144 / 9 = 0,   46368 / 9 = 0

F. Sandwalk Sequence.         (S1+2), (S2-1), (S3+2)...

Build the sequence starting at 1 then alternate between adding 2 then subtracting 1.

     E.G.  1,3,2,4,3,5,4,6,5,7,9,8,10,9,11,10,12...