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Message:: [QUOTE="ErolGarip, post: 2819996, member: 88736"]Indeed so, but, soon, scooby snacks (those saying "we are rich, 1cent is a no need") may knock your door too, you coin collector, to question you that "hey, where/why/etc have you hided all those 1coins!!? Give us some "1cent"!, etc". So, we need to prepare ourselves not to face any such troubles. Lets go on doing some more little math, by doing a simplified version of all those symbolic math to partically numerical math so that everybody, also those who are not familiar with symbolic math, can be familiar with what math is done above, in previous posts. Of course, all these are not a rocket science, but, you know even a space rocket too requires "money" and here we are not inventing a new thing, we may call it a discovery, and that discovery may cause some changes even in rocket science. Ok, lets do an example or two with partially numerical and partially symbolic math. Lets use "cent" as the name of coin here as (I guess) majority of people here are familiar without questioning it for a second. Its unit is 1cent. (I'm omitting half cent here. If doing this is not acceptable, we will have to redefine the unit cent as 1halfcent, and this will cause some extra notations, but, at the end, nothing will change as the unit number will still be "1" on the coin.) Lets take Total=91cent. How this total can be obtained by different coins? (available coins are: half dollar=50cent, quarter=25cent, dime=10cent, 5cent and 1cent) 91cent = k.50 + l.25 + m.10 + n.5 + p.1 (where k,l,m, etc are quantities of each coins.) Solve k,l,m,etc. (*) One of solution that you can easily see is k=l=m=n=p=1, i.e. one piece from each coin. Now, lets say that none of these coins (half, quarter, dime, etc) are available. So, we will have to make a new setup of coin face values. (for example, instead of 5cents, our new coin can be with a face value of 7cent.) So, in this case, face values are "variables" and I will use same notations for them, i.e., capital wovel letters, A, E, I, O, U. Now, lets obtain 91cents again by taking 1 piece from each new coin. 91cent = 1.A + 1.E + 1.I + 1.O + 1.U (where A, E, etc are variable face values of coins.) Solve A, E, etc. (**) Since majority of people are not familiar with this (unknown face values) solving A, E, etc may be a little difficult for them. However, still, with an insight view, at least one of them can be easily known as the total is 9"1" cent. So, face value in one of terms on the right side must be "1"cent. Lets chose "O"=1cent (not to get confused with numerology which takes A=1). Then, 91cent can be written as 91cent = 1.1cent + 1.(A+E+I+U)... Here, indeed, A, E, etc can be any value, so, variables (for ex. 7cent, 12cent, 27cent, and 44cent) which are left to be determined by economists as the money is related (as a function) to the economy. Our topic here, even before economy, is the math, pure math, regarding money itself. In both equations (* and **) above, what is clearly seen? It is "1cent" which is unit value of money. It has to exist... Obligatory... Necessity... Math of money tells this... If people object this result, then, they are against basic of math, meaning that they are also against advanced math, also against all math. Then, those economists neglecting "1cent" should not use any math in their economy science also. Engineers should not use any math in their designs. Teachers should not teach any math to children. Etc. So, if that this "obligatory of 1cent", that "1cent" is a "fixed" value, is clear to everyone, and I guess everybody agrees in that, then, we can go ahead... What should economists (also anyone who sees money as economy item only) do? It is hard for them, for any person, not to neglect 1cent in economy comparing with, say, a house price, say, $1million which is equal to 100 million cents. But, we saw from its math of money that "1cent" is non-negligible. Indeed, this self-contradictory problem is a hard problem and this is why 1cent or small valued coins have been neglected and phasing out all over the world in all history including today. It is such a big big complicated problem. So, people are either with the math or with the economy, not with the both, if they don't find a solution to "1cent" in economy as well like it is done here about its math. Ok, herafter, it will be about "1cent & economy".(But, that's enough for the moment, I need to go out.)[/QUOTE]

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