I am new to complex numbers and trying to understand them and find real life conditions which could be interpreted by them "like positive one apple is gained apple and negative one apple is lost apple....so what is
+1i apple and
I know that electromagnetism ,ac, wave analysis and quantum mechanics are explained by complex numbers but i can not hold them in my hand like apples...
So i had first thought that
+1i may represent the situation when two persons A,B are making bets "gambling" over the result of match
And from point of view of person A : person A put
-1i dollar with intermediate person ,person B put
+1i dollar with the intermediate person .....
Here for person A, I consider the dollar he gives for the intermediary person
-1i because if he loses, he transfers this
-1i dollar to real
-1 dollar ....
and the dollar given by B to the intermediary is
+1i relative to A because if A wins he converts this
+1i into real
I do not know if my understanding is right but i continue to study complex numbers and i solve the following problem :
p(x)=-0.3x^2 +50 x-170 where
p is the profit and
x is the lamps produced per week.
"note here that i do not know the price of lamp or the cost of manufacturing and that the profit is nonlinear"
then I try to find number of lamps which make profit of
the solution is complex number with real part
83.3333 and imaginary part
Now i try to get profit for real part alone "
1913.3333"and imaginary part alone"
916.6667" then add them together but the result is
3000.how this is possible????
2830 +170 =3000????!!!
During this thinking i tried to calculate the imaginary part after conversion to real
60.1849 ,then i thought of this positive imaginary part as taking full price in advance "down payment of
1752.5783" for future production "to get beyond the maximum profit per week of
1913.3333" and I thought of the negative imaginary part as stealing this
60 lamps from the deal and reselling them so we also get beyond barrier of weekly maximum profit...
but calculations for both cases were not equal to
1913.3333 + 1752.5783 = 3665.9117"
does my guessings about meanings of imaginary part as price in advance or stealing true???
I know that my question may be vague ... this is because i am confused about meaning of complex numbers and i will accept all edits to make it more clear...