Complex items

the Complex value of items

From N over Q to C

Introduction

In the beginning the value of an item was defined by collective agreement to a positive integer number which we shall call a natural number (N).

{0,1,2,3,4,..}

But soon there was a need for a exact price due to the competition of the robot market. So even little fractions of money could mean a bit profit when huge quantities of items were traded. This is the beginning of the rational numbers (Q).

{1/2, 2/3, 3/4, 1, 1.25, ..}

At some point in EL-History rare stones were introduced. These could be found by change during harvesting minerals or plants. Only a small number of players were able to pay the price which was demanded on the market. It became clear that the value could not depend on the value of another items as it happens in item chains.

At the 30th day in the month of Elandra, the year 0036, Age of the Eternals the idea was born that items can have imaginary values. This is even more true for rare items. A price for an item is established by supply and demand on the market channel. It is possible to differ between the real and the imaginary value. Consequently the value can be written as a complex number (C).

The complex price Z consists of a fix real part A and a changing imaginary part X. It can be plotted in a complex plane. The player can only pay the absolute value. |Z| is always positive since it is build mathematicly of the square root of the sum of the quares of both parts A and X. The same law is applied in the Pythagorean equation.

Calculation

A No More Tears Cape

• A represents the minimum price, A = 400k
• B represents the interest, B = 500k
• |Z| = 640k with SQR [(0,4M)² + (0,4M)²]

Even of B = a negative value, |Z| will always be positive. So in that sense we have never left our beloved natural numbers. Complex numbers are especially meaningfull for very high amounts of money.

Posting on ch3

• A post on market channel could look like this:

[SolarStar @ 3]: Selling a NMT-cape for 400k + i*500k

Last but not least, the price can also be formated from Cartesian into Polar form !!

[PolarStar @ 3]: Selling a NMT-cape for 640k e^i*51.3°

• Positive values of phi indicate how much more the player is willing to give in addition to the regular price.
• The advantage of Complex numbers over Integer numbers is, that players can trade items not under regular price (price dumping).