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Made in us
Longtime Dakkanaut





Hello, ladies and gentlemen and welcome to professor Ikari's Macro economics class. I have finished the initial theory of my theory of governmental economics. Lets get started shall we?

First we start by defining the variables we will be using

W= An individual households yearly income
C= Total Taxable Corporate Profits
G= Total Government Expenditure
K= Break-line income of the top 50% of wealth
A=average Household income
N=number of households
T= total taxes paid by individual household
P= Percent of W paid
R= Co-efficient of economic restitution
E= Co-efficient of Government expenditure precentile
Y= corporate Tax rate.

We now state the continuous Tax Code Equation

T=W*P=W*((W*E)/(R*A))

Here we can clearly see that once an individual makes a certain number of times the average income, they will be paying the coefficient of government expenditure, E.

Now, we start by finding the unknown co-efficients.



We now find R. This is a bit more complicated as it is as variable as we want, which is why we choose K as it is, more on this later. For no we can find R by setting K equal to W. That is,



We now set this percent equal to E, to solve for a fair tax that will never have any individual paying more than E if they are under the top 50% of wealth controllers.

Dividing by E yeilds,

Solving for R we find,



now remember where we said that the definition of K was important, well here is where this comes in. We know that K is the wage earned by the least wealthy earner who controls that part of the top 50%, and we know that A is the average houshold income. What this means is that when R=1 The top half of the controlled wealth is in the hands of the top 50% of housholds. That is K=A, means that every houshold earns the same income. And while this is not necessarily a good thing in and of itself it shows what R really is, and that is an indication of the distribution of wealth, basically a middle line indicator. and when R goes up, wealth distribution gets more distributed to the wealthy, and when it goes down it gets more distributed to the lower class. Another effect of R, is that when R=1, That is to say that, K=A, and W=k, that EVERYONE will pay P=E as their percentage.

Now we move on to actually balancing the budget.

we know that the corporate tax revenue is easy to find as C*Y. However the total tax revenue is a bit more complicated. We must here make a decision, what is a fair tax. Well IMO, p=E is the maximum fair tax on an individual human, but due to the equation, the lower wage, that is when K=/=A, those who own the lower 50% will not being paying a total of E as the total bracket percent. This revenue can be found however as,



Where is the number of people who have wage W

The revenue for the upper half is more easily found with a single Tax percentage as,



Corporate revenue is easier still as



Settin these equal to G to find a balanced budget we find that,



with a little knowledge of math we can turn the sum into an integral to yield,



This message was edited 1 time. Last update was at 2011/04/11 15:22:10


011000100111010101110100001000000110100 100100000011101000110010101101100011011 000010000001111001011011110111010100100 000011101110110010100100000011101110110 010101110010011001010010000001100111011 011110110010001110011001000000110111101 101110011000110110010100100000011000010 110111001100100001000000111011101100101 001000000111001101101000011000010110110 001101100001000000110001001100101001000 000110011101101111011001000111001100100 000011000010110011101100001011010010110 1110  
   
Made in gb
Junior Officer with Laspistol





Sheffield, England

What the hell am I reading?

The 28mm Titan Size Comparison Guide
Building a titan? Make sure you pick the right size for your war engine!

 
   
Made in gb
Boom! Leman Russ Commander






o_O I think I have just been intellectually raped

yeah...

   
Made in gb
Decrepit Dakkanaut




Swindon, Wiltshire, UK

I got the maths but I'm confused as to why you are saying this here?

This message was edited 1 time. Last update was at 2011/04/11 17:58:52


 
   
Made in us
Longtime Dakkanaut





I was posting it on another forum and the images didn't want to show up. I was checking the img links.

011000100111010101110100001000000110100 100100000011101000110010101101100011011 000010000001111001011011110111010100100 000011101110110010100100000011101110110 010101110010011001010010000001100111011 011110110010001110011001000000110111101 101110011000110110010100100000011000010 110111001100100001000000111011101100101 001000000111001101101000011000010110110 001101100001000000110001001100101001000 000110011101101111011001000111001100100 000011000010110011101100001011010010110 1110  
   
Made in us
Kid_Kyoto






Probably work

God, that tinyMCE interface is amazing. CodeCogs is pretty awesome. There's something awry with the gif encoding though. They're painful as hell to read on a non-white background.


Also, bringing math into OT is kind of like pointing a revolver at children.


Automatically Appended Next Post:


Not much better even in a different color. I think there's some sort of alpha blending thing being done that's not properly anti-aliasing, but I'm not sure there's much you can do about it without it getting changed on the codecogs side.

This message was edited 3 times. Last update was at 2011/04/11 21:06:41


Assume all my mathhammer comes from here: https://github.com/daed/mathhammer 
   
Made in gb
Willing Inquisitorial Excruciator





England

daedalus wrote:

Also, bringing math into OT is kind of like pointing a revolver at children.


Or playing Russian roulette with a semi automatic pistol.

   
Made in us
Longtime Dakkanaut





well now that i have the image errors sorted out, what do you guys think? simple eh? at least compared to what we have now.

011000100111010101110100001000000110100 100100000011101000110010101101100011011 000010000001111001011011110111010100100 000011101110110010100100000011101110110 010101110010011001010010000001100111011 011110110010001110011001000000110111101 101110011000110110010100100000011000010 110111001100100001000000111011101100101 001000000111001101101000011000010110110 001101100001000000110001001100101001000 000110011101101111011001000111001100100 000011000010110011101100001011010010110 1110  
   
Made in au
The Dread Evil Lord Varlak





gendoikari87 wrote:well now that i have the image errors sorted out, what do you guys think? simple eh? at least compared to what we have now.


Not really. The problem isn't a shortage of maths formulas allowing economists in the White House knowing what the tax rate needs to be, given a level of government expenditure. The issue is that it's politcally very hard to actually take that much money off of people, and the alternative is to cut spending, which is also very hard to do in any meaningful amount.

I mean, anyone can balance the budget, they could do it tomorrow and likely be very happy with what they've cut and what tax level they've set. The issue is that everyone would do it in a different way, and that makes political consensus very difficult.

“We may observe that the government in a civilized country is much more expensive than in a barbarous one; and when we say that one government is more expensive than another, it is the same as if we said that that one country is farther advanced in improvement than another. To say that the government is expensive and the people not oppressed is to say that the people are rich.”

Adam Smith, who must have been some kind of leftie or something. 
   
Made in au
Lady of the Lake






I remember this stuff unfortunately. I remember learning it, not how to do it.

Economics was a very boring class for me.

   
Made in us
Fixture of Dakka





dead account

I are math not so grate... me am no smart... moar piks?
   
Made in us
Pyro Pilot of a Triach Stalker




New Jersey

Hey you put letters in your maths, you should get that fixed.

"Order. Unity. Obedience. We taught the galaxy these things, and we shall do so again."
"They are not your worst nightmare; they are your every nightmare."
"Let the galaxy burn!"

 
   
Made in us
Longtime Dakkanaut





I'm a physics major, MOST of the math i do i letters.

011000100111010101110100001000000110100 100100000011101000110010101101100011011 000010000001111001011011110111010100100 000011101110110010100100000011101110110 010101110010011001010010000001100111011 011110110010001110011001000000110111101 101110011000110110010100100000011000010 110111001100100001000000111011101100101 001000000111001101101000011000010110110 001101100001000000110001001100101001000 000110011101101111011001000111001100100 000011000010110011101100001011010010110 1110  
   
Made in us
Pyro Pilot of a Triach Stalker




New Jersey

Everyone knows letters, Greek or otherwise, are a poor subsitiute for numbers. A real mathophile wouldn't sully his equations with such base symbols!

"Order. Unity. Obedience. We taught the galaxy these things, and we shall do so again."
"They are not your worst nightmare; they are your every nightmare."
"Let the galaxy burn!"

 
   
Made in us
Longtime Dakkanaut





Real mathophiles use NO numbers, they use constants and variables.

011000100111010101110100001000000110100 100100000011101000110010101101100011011 000010000001111001011011110111010100100 000011101110110010100100000011101110110 010101110010011001010010000001100111011 011110110010001110011001000000110111101 101110011000110110010100100000011000010 110111001100100001000000111011101100101 001000000111001101101000011000010110110 001101100001000000110001001100101001000 000110011101101111011001000111001100100 000011000010110011101100001011010010110 1110  
   
Made in us
Pyro Pilot of a Triach Stalker




New Jersey

Constants and variables hah! Finding x, y, or z is for chumps.

"Order. Unity. Obedience. We taught the galaxy these things, and we shall do so again."
"They are not your worst nightmare; they are your every nightmare."
"Let the galaxy burn!"

 
   
Made in us
!!Goffik Rocker!!





(THIS SPACE INTENTIONALLY LEFT BLANK)

This is why you don't copy paste wikipedia articles when they use PNGs for mathematical formulae.

----------------

Do you remember that time that thing happened?
This is a bad thread and you should all feel bad 
   
 
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