The P-Mac-ing Inequality

7/30/2019 The P-Mac-ing Inequality

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The P-Mac-ing Inequality-An Engineers Guideline To Hitting On GirlsWARNINGWARNINGWARNINGWARNINGWARNINGWARINGWARNING

THIS THEORY ONLY PREDICTS WHAT YOU SHOULD DO AT THE PRESENT TIME AND

DOES NOT SAY ANYTHING ABOUT WHAT YOU MAY THINK WHEN YOU SOBER UP

By: Cameron Parkes


2/19

The P-Mac-ing Inequality

[email protected] Page 1

Theory:Have you ever wondered if it is in your best interest to hit on a girl or not? This determination is actually

much simpler than one may think. All that is required is to evaluate .Urban dictionary defines P-mac-ing as the act of mac-ing on girls until they get so annoyed and date

you just to get you to shut up. At this time it is important to distinguish between a beneficial situation

and a desirable situation. A desirable situation is one that you would want if you were sober. In order to

determine your benefit a cost benefit ratio must be applied. Benefit is defined as:

eqn. 1

is defined as: eqn. 2

The Drunk Index:- It is a measure of how drunk you are and is defined as:

eqn. 3

The Hot Index:- It is a measure of how desirable a girl is to you and is defined as:

eqn. 4


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The Wanting Index:- It is a measure of how desperate you are and is defined as:

eqn. 5

Mathematically can range to a value of 3 but logically this isimpossible. The reason being that you pass out when

, rendering you unable to act.

is a sum of indices. The result of this is that the choice of units is arbitrary.The only restriction is that the system of units remains consistent. The theoretical maxima are unique to

each individual and must be determined experimentally. The key to determining your theoretical

maxima is to evaluate the (eqn. 6) at the two .1) When .2) When .

- Explained in the Procedure to Determine Your Theoretical Maxima section.

Ways to Alter Your Situation:

There are three options available to alter your indices that will drive toa more beneficial outcome.

1) increases with time. Letting time go by will increase and bring closer to an outcome where it is in your best interest to act. Unfortunatelythere is no way to lower your other than achieving success, getting laid.


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2) can be increased by switching girls. Other than an extreme time gaps this is the only way toincrease . Increasing will drive closer to an outcomewhere it is in your best interest to act.

3) can be increased by drinking more. Drinking more will make up for deficiencies in the otherindices and drive closer to an outcome where it is in your bestinterest to act. is the easiest index to alter.

Any of the three options or any combination of the three will drive towards more beneficial outcomes.

Possible Outcomes Of :

There are three possible cases:

1) - It is not in your best interest to hit on this girl at the present time.- There are three options available to you that will drive to a

more beneficial outcome.

- Any of the three options or any combination of the three will drive to a more beneficial outcome.

2)

- This is the .- Any combination of indices that sum to one will lead to equilibrium.- At equilibrium it is no more beneficial to hit on the girl than it is to do nothing.- Any of the three options or any combination of the three will drive

to a more beneficial outcome.


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3)

- It is in your best interest to hit on this girl at the present time.- No alterations need to be made.- ITS GO TIME!!!

The Continuity Equation:

The is a measure of how a girls desirability to you has changed with time.The is defined as:

eqn. 6

Since drunkness, hotness and desperation are all state functions and are not path dependant it is

sufficient to say:

eqn. 7

Your drunkness at time i.

Your theoretical maximum drunk.


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eqn. 8

Her hotness at time i. Your theoretical maximum hot girl.

eqn. 9

Desperation level at time i.

Your theoretical maximum desperation level.

This is convenient because the way the parameters vary with time is most likely a non-linear second

order differential equation. Such equations would render the solvable only bycomputers.

Procedure to Determine Your Theoretical Maxima:

1) In one . This is achieved by getting laid. The result is that eqn. 6 isreduced to:

eqn.10

2) Go out and get drunk. Throughout the night make measurements of how drunk you are andhow hot a particular girl is at regular time intervals.

3) Plot hotness Vs drunkness on an scatter plot and fit a linear regression line to the data.


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- The y-intercept is a measure of a girls base hotness. That is to say, how hot she is to youwhen and .

- The equation of the slope is:

eqn. 114) To determine your maximum theoretical drunk you need to drink until you pass out.

Rearranging eqn. 11 and solving for :

eqn. 12

5) In two . This is achieved by secluding yourself in a location with zerogirls and zero images of girls. By doing so eqn. 6 reduces to:

eqn. 13

6) Get drunk and throughout the night make measurements of how drunk you are and desperateyou are at regular time intervals.

7) Plot desperation Vs drunkness on an scatter plot and fit a linear regression line to the data.

0

1

2

3

4

5

6

7

8

0 5 10 15

Hotness

Drunkness

Hotness VsDrunkness


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- The y-intercept is a measure of your base desperation level. That is to say, how desperateyou are when and .

- The equation of the slope is:

eqn. 14

Rearranging eqn. 14 and solving for :

eqn. 15

Now that the theoretical maxima have been determined is ready to beput into action.

In Cartesian Coordinates:Any outcome of is just one of an infinite number of combinations ofthe three indices that sum to the same value. This being said, any outcome of is one location on a sphere known as an . In this discussion

0

1

2

3

4

5

6

7

8

0 5 10 15

Desper

ation

Drunkness

Desperation Vs

Drunkness


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we will consider the where sums to one. Atequilibrium it is no more beneficial to act as it is not to act. In mathematics this is known as the unit

sphere.

- .- The convention is is plotted along the -axis, is plotted along the -axis and is

plotted along the -axis.- The center is located at:

- Anywhere inside the is not a beneficial situation to act.- Anywhere outside the is a beneficial situation to act.- If the evaluation of results in a number greater than one,

you are outside the .


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The value of can be expressed in vector form as the radius of the equi-beneficial sphere. The radius is defined as:

eqn. 16

eqn. 17

eqn. 18

eqn. 19

The radius has a length equal to the outcome of :

eqn. 20

In Spherical Coordinates:Any position on an expressed in terms of Cartesian coordinates can also be expressed in terms spherical coordinates . In spherical coordinates theposition on the equi-beneficial surface is defined as a distance from the origin (), a polar angle() measured from the - axis and an azimuth angle () of the polar angles orthogonal projection onthe plane that passes through the origin and is orthogonal to the - axis.


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- The radius is always defined as positive:

- The polar angle is called the inclination and ranges between - The Azimuth angle ranges between

Converting Between Cartesian And Spherical Coordinates:

It is easier to describe your location on an

and apply a rotation in spherical

coordinates. In spherical coordinates the magnitude of , , is expresseddirectly in the coordinates. In order to express in spherical coordinateswe require a method of converting from Cartesian coordinates to spherical coordinates and back again.


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Going from Cartesian to Spherical:

eqn. 21 eqn. 22 eqn. 23

Going from Spherical to Cartesian:

eqn. 24

eqn. 25

eqn. 26

Moving Along An Equi-Beneficial Surface:

One can move from one spot on an to another, namely the

. The

is the situation on the

where is maximum. That is to say to go from one situation to another situation of equal benefit butof a more desirable nature.


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In Cartesian coordinates this is achieved by rotating the sphere about the - axis by an angle (),about the - axis by an angle () and about the - axis by an angle (). Applying a rotation matrix foreach operation to your situation will move you to another situation of equal benefit. Applying the

will rotate you to the

. In Cartesian coordinates the sequence

of operations is essential and must be carried out in a particular order.

eqn. 27

eqn. 28

eqn. 29

eqn. 30

The values of the new indices can be calculated from the values of the old indices and applying the

rotation matrices. The values of the new indices are:

|| | | eqn. 31

|| | | eqn.32

|

| | | eqn. 33

- Since a negative value for any index is impossible any negative value obtained by therotation will be taken as a magnitude and the absolute value will be applied to the new

situation


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In spherical coordinates the motion along the

is achieved by adding or

subtraction to the inclination angle () and the azimuth angle (). There is no alteration to the radius(). The benefits of spherical coordinates are that the rotation is easy to see, the sequence of operationsis arbitrary and the operation involves matrix addition instead of matrix multiplication.

eqn. 34

How To Use :When you see a girl and you need to make a decision on whether or not you should hit on her all you

have to do is evaluate .1) Make quick measurements of drunk you are, how hot she is and how desperate you are.2) Divide each measurement by its respective, previously determined, theoretical maxima to

determine your

,

and

.

3) Sum the squares of the indices together to determine the result of .4) Determine if the situation is beneficial to you.5) If the situation is not beneficial apply one of the three options or combination of the three to

make our situation more beneficial.

6) If the situation is beneficial convert to spherical coordinates.7) Locate your position on the .8)

Apply the to rotate your situation to the . This willmaximize her hotness.


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Example:

We would like to move along the from situation 1 to situation 2, namelythe . On the the is where . Situation 1 is where . Situation 2 is where . There are an infinitenumber of situations where . We will consider the situation where and .Both situation 1 and situation 2 are of equal benefit to us but situation 2 is the most desirable

situation on the . It is more desirable because the girl is much hotter. Inmathematical notation the rotation to the premium plane is written as:

(

)This represents a rotation about the -axis by an angle followed by a rotation aboutthe -axis by an angle and finally a rotation about the -axis by an angle . Inthis scenario the rotation matrices B, C and D are equal to:

[

]

The resulting rotation that takes you from situation 1 to the premium situation is expressed as:


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In Spherical coordinates situation 1 has coordinates: , and . Situation 2,the , has coordinates: , and . In mathematicalnotation the rotation that takes you from situation 1 to the is expressedas:

Determining If A Situation Has Changed with Time:

In order to determine if a situation is more or less beneficial over a period of time the

(eqn. 6) needs to be evaluated. There are three possible outcomes:1)

- The situation has become less beneficial over the given time period.- Use any combination of the options to make your situation more beneficial.

2)

- The situation has not changed over the given time period.- Use any combination of the options to make your situation more beneficial.

3)

- The situation has become more beneficial over the given time period.- No action is required.- What are you waiting for?


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Scaling :In order to move to a new specific to a certain girl, or in other words scale , net energy needs to be either taken from or given to the situation.This is described by the : eqn. 35

- To scale up net energy needs to be transferred into thesituation.

- To scale

down net energy needs to be removed from the

situation.

Eqn. 35 can be rearranged to give:

eqn. 36

Since

changes very slowly with time and we are only concerned with short time periods we can make

the following assumption:

eqn. 37

With this assumption eqn. 36 reduces to:

eqn. 38

In short time frames such as the course of an evening we can make one more assumption:

eqn. 39


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With this assumption eqn. 38 reduces to:

eqn. 40

From these assumptions and eqn. 40 the conclusion is that over short time periods one can only go from

one to another by either drinking more or sobering up. Therefore, in orderto better your situation with a particular girl over short time periods you need to:


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DRINK

MORE!!!!!

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The P-Mac-ing Inequality