Genuine Balanced
what more can a man do.????
At this moment in time iam frustrated, all the women i seem to be meeting can not see the genuine, funny, well balanced human being that iam, iam an absoulte catch for any women. They seem to prefer the ugly average joe with no interlect with cavemann attutides to life, why do women find these men so appealing.Is it because women think "hes a man cuz hes got short spiky dark hair and talks about football and beer...yeah!" what a man!?????? Women defintion of a man in this day in age is completly wrong, im not saying all women but why is this hapening to me. Iam a very charismatic guy i have no fault personality wise.There just seems no hope???? and before you start saying are you this and are you that.. trust me iam not doing a damm thing wrong. Im totally confused!!
I think you should be happy. At least you aren't on here complaining how you married the wrong woman. Be glad that you realize early on that they aren't right for you.
Not all girls want guys who are sooooo into football and beer that they forget they are no longer in high school.
It also might go back to where you are meeting these girls, if you go to bars to pick up chicks, odds are you aren't going to find a quality girl. Girls in the bars might like a beer guzzling, football watching meathead. Join a church or a gym there are plenty of single girls there, many of them with educations and careers. Don't give up. The right one will come along at just the right moment, but don't get so bitter while you are waiting because the 'right' one might not want a bitter man.
Genuine Monster Miles Davis Tribute Headphones Unboxing
Spot 1 of 99 purses with 2 fake coins using 3 weighings?
Each of 99 purses has 2 coins. One purse has 2 identical fake coins. All other coins are genuine. Fake coins look like genuine coins, but they are somewhat lighter. The exact coins weights are unknown. There is a balance that measures the weight difference between its two sides.
How to find fake coins using the balance 3 times?
Lets think in terms of entropy and configuration space.
The configuration space is initially 1 out of 99.
Each weighting can produce 1 out of three outcomes:
greater
equal
less
The configuration space is reduced by three weightings by a factor 3x3x3 = 27, which is not enough to reduce 99 to 1.
Hence we must treat the weightings more carefully. That is outcome of each weighting must be
+2
+1
0
-1
-2
but unless we catch two weightings to compare the ratio, we do not know how to discriminate between 2 and 1.
**********
Lets consider a a slightly diifferent problem 124 purses with two good coins, and 1 purse with two fake coins, each of which has 1 gram deficitt of weight. Altoghether we have 125 = 5³ purses.
Arrange the purses in cubic grid 5x5x5. Now each purse has integer coordinates [x,y,z] from the range {-2,-1,0,+1,+2}.
Use three measurements to determine three coordinates x,y,z each in one measurement, and we have corrdinates [x,y,z] of the bad purse.
Coordinate z for example is measured by
taking 2 coins from each of 25 purses in bottom z = -2 layer and placing them on the left plate
taking 1 coin from each of 25 purses in the next z = -1 layer and placing them on the left plate
ignoring 25 purses in the middle z = 0 layer
taking 1 coins from each of 25 purses in the next z = +1 layer and placing them on the right plate
taking 2 coins from each of 25 purses in top z =+-2 layer and placing them on the right plate
The scale will immediately show one of five possible results {-2,-1,0,+1,+2} which is simply equal to the value of z.
Three weightings is each x- y- and z-derection give the coordinates of unique bad purse.
***********
But if do not know the value of deficit of weight of counterfeit coins in advance, then weigthing result
(0 gram, +1.3 gram, -1.3 gram) can point to either
purse [0,+1,-1] or the purse [0,+2,-2] and we would be unable to distinguish between them.
There are exactly 26 pairs of such collinear purses. Lets throw away 26 purses, those that are neither on the surface, nor the one in the center, and now we have 98 spaces for purses on the surface of the cube 5x5x5 and one purse [0,0,0] in the center. Altogether 98 + 1 = 99 perfectly distinguishible spaces.
Now we weight the coins in the proprtion
25*(-2) + 16*(-1) + 17*(0) + 16*(+1) + 25*(+2) and if the measurement comes out (0 gram, +1.3 gram, -1.3 gram) we know that the purse [0,+1,-1] does not exist and hence the bad purse must be [0,+2,-2].
*********
Finally lets relax the condidtion that counterfeit coins have equal weights. Note that each of 98 purses has at least one coordinate either +2 or -2. Hence except for the purse [000] sitting in the center, at least one of three weighting will give us COMBINED deficit of weight of counterfeit coins.
Say the measurement was
(+1.2g, -1.3g, -2.5g)
the largestt component is 2.5g, which is combined deficit of weight. Such measurement evaluates to the purse [+1,-1,-2]
Say the measurement was
(0g, +2.5g, -2.5g)
Such measurement evaluates to the purse [0 ,+2,-2]
