Constant Output Theorem (CO Theorem)

First of all… gracias for the co-authorship of the blog… muchas gracias…

:D

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Aside:

Why blog here?

1. This is as good a place to start as any

2. A pre-existing blog is a better motivator compared to a blank notepad file/ new post page

3. The required parameters/ terms for this post have already been defined, and they mostly continue to mean the same

4. Total number of hits to this post is assured to be a non – zero positive number

5. The “about me:”, the naming of a new blog etc. can be skipped to a later time

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Disclaimers:

0. This is my first ever post. I am blindly following what Forrester said: “the first key to writing is to write, not to think." :-P

(And that, you will come to see, actually serves as a good corollary for the CO theorem)

1. This theorem is a realistic generalization of MIMO theorem

2. Appreciating the theorem requires knowledge of basic math and logarithms

3. It is said that there are two kinds of people on earth

i. Type 1: people with IQ > 100

ii. Type 2: people with IQ = log (Type 1)

This theorem is applicable only to those Є (Type 1).

Technical Terms reviewed:

Success = "all that u want" (unchanged, refer previous post)

Investment = “time and effort” (unchanged) – quantized as a number >= 1.

New terms:

1. Essential Background (EB): this is a more or less constant value, and is the minimum investment that is required for any competence.
2. log(x) is logarithm of x
3. | x | is the modulus of x

Constant Output Theorem (CO theorem) states that:

Success = K + EB + | log (Investment) |

where K is a constant that depends on the individual. It is the success he/she would attain when investment = 0 (EB /= 0). K is directly proportional to intelligence, cranial capacity, etc. It assumes a value that can be determined by examining the results obtained by the individual, in the past, in a similar situation/ problem. The range of K is from a very small ε to an arbitrarily large value.

Proof of the theorem:

1. All god-level-dudes that you see around you… a god-level-dude is a person who smashes a paper without even searching for the damn book, excels at sports without as much as a hint of practice, paints brilliantly in half a day what others can’t dream of painting in a year… you get the picture.

Here, even for values of Investment → 1 (the lowest value), the CO theorem guarantees high rate of Success, as the value of K, is large.

Also, it is to this group of people, the CO theorem can be linked with the MIMO theorem (explained in the previous post), wherever Investment assumes a value greater than 1. Success, now, increases exponentially as input investment

2. The hopelessly constant or monotonically decreasing grade curves… (monotonically decreasing because of the oft negative values of EB :-P )

You’ve seen this for yourself... the religiously proved – ‘toppers keep topping’ theorem

In these cases,

Success = K + EB + | log (Investment) |

=> Success ~ = K

No wonder the grade curve ever turns the right way :-)

Quod Erat Demonstrandum