The controversy over advanced Fabo skills and heart-inducing wave Neidan has been going on for more than half a year, and there are still netizens arguing endlessly, they have their own statements, and their own data proves it. However, opinions are different, the biggest point of controversy is the output expectation of advanced fabo, which has been tested by many players before, but the persuasiveness of test data is still not enough. Recently, finally a high-achieving student player stood out, a 211 college student player used probability to calculate the expectations of advanced Fa-wave skills, let's find out whether his analysis is reasonable or not.
For the calculation of the output expectation of the high-law wave, set the base damage to x, the output number of outputs to y, the damage fluctuation range to 0.5x to 1.5x, the output frequency y+ ∞, and the probability of occurrence at any point in the known damage fluctuation range is the same, then the output expectation is: [0.5x+ (0.5x + x / y) + (0.5x + 2x / y) + (0.5x + 3x / y)... (0.5x+yx/y)] /y=[(1+y)/y]*x=x。 So the output expectation is x, which equates to no boost.
Considering that when the flying monster was flying, Fa bo had a high damage overflow, so Gao Fa Bo's lack of heart wave Neidan was a negative boost. All skill mathematical expectations are positive improvement, even if the damage overflow is counted, it is also a positive improvement, only the high law wave is 0 improvement, so don't follow the clouds, play the game and use your brain.
Let's calculate another controversial high-level legal link. Double Starburst: (x*y+0.5x*0.2y)/y=1.1x, full layer full of double starburst: (x*y+0.5*1.48*x*0.2y)/y=1.148x, so the advanced Falian is a positive improvement of skills, and has nothing to do with the presence or absence of Neidan.
There is also a high-level longitudinal skill, which is definitely a super cost-effective skill that has been ignored, equivalent to 2/3 of the full layer of sacrifice, and the result has become a garbage beast, and 80w cannot be sold.
I've been playing fantasy since 2006, I've been sensitive to numbers, and I don't know if anyone has experienced the 2013 high combo falling below 2000W. At that time, when I was still in college, I couldn't understand why the high combo would fall in price. There are also times when sacrificing one's life is cheaper than life and death decisions, and I can't understand why life and death decisions are so expensive.
Now I finally understand that the reason why Gao Fabo is expensive is only because there are few output channels, and no baby was born to carry this skill before, so the alchemy demon cannot give high-level Fabo, just because it is rare and easy to hype, it is all a trick of the businessman. Not necessarily expensive is good, to put it bluntly, it is a number game, there is no operation, there is no difference from the magic tower played when I was a child, don't be taken astray by the businessman.
First of all, do not deny the mathematical statistical ability of the above players, but the expectation is only a set of data, in practical applications, the wave may be high and the battle may end, and the pk may be dead in seconds. Some things are not measured by expectation as the only dimension, and all data must be brought into the actual scene to have the most realistic conclusions.
Also, this algorithm is the expectation of discrete random variables, continuous random variables need to know the probability density function (or distribution function) to calculate the expectation, and to use calculus, 985 or 211 may not necessarily understand the mathematical principles. Secondly, according to the above algorithm, although it is the expected value calculated by discrete type, the principle is clear at a glance. Regardless of whether the distribution function is there or not, even if there is, the continuous random variable is not composed of discrete variables.
Regarding the controversy of the advanced Fabo, let me say a conclusion here. As far as the current dream follow-up situation is concerned, the cheap is good, after all, the expensive one is enough to buy five cheap, because the difference between the expensive and the cheap is within 3%. In other places, there are cases that can be improved, such as the attack pet flower 900w to open up the world + break the cauldron, 2600w to eat the additional growth of the mount to 1.0, the mount jewelry is good, the big drum of the magic treasure mount is full of layers, the baby repairs to eat, these are almost done and then consider the matter of gao bo. After all, Gao Bo is also the income of the 2-3 level baby repair, and it feels that it is not as good as the high magic high explosion + homeopathy.