Air combat values

ZergMazter -
Per your example with 4 Flak:
  1. 1 - (1/1+0.2)^min(N,4) where A (Anti-Aircraft) = 0.2 (Or 2 in the editor) and D (Aircraft defense) = 1
  2. Add the 1 & 0.2 in the denominator to get 1 - (1/1.2)^(4).
  3. Divide the numerator 1 by the denominator 1.2 to get 1 - (0.8334)^(4).
  4. Raise the result to the 4th power (4 flak) to get 1 - 0.4824.
  5. Subtract the result from 1 to get 0.5176.
  6. It's not in the equation, but then multiply this by 100 to get the percentage of 51.76% or 51% rounded down.
Remember Order of Operations - First-parenthesis, then exponents/roots, then multiply/divide, and finally add/subtract.
 
Hahaha thanks. My fault was here 1 - (0.8334)^(4). Tried to multiply first and leave ^ for last. This is actually the first time I see ^ in math, or maybe I don't remember, but I'm pretty sure I haven't seen it before.

I still gotta find a reliable online an example of how ^ works. It sounds like an increase of value, but it actually did the opposite in this example. The last time I had to do anything with this kind of math was about 13 years ago, so I'm not the most proficient person at it :D
 
^ means "to the power of". In mathematics usually you'd see the "power" as a superscript without the caret (^) symbol. But usually when typing or programming the caret is used instead as it's easier. So for instance - 2^3 = 2*2*2 = 8.
It sounds like an increase of value, but it actually did the opposite in this example.
The reason the result of (0.8334)^(4) is a smaller number = 0.4824 can be explained this way:
  • If you have two sets of two apples each, you have four apples total (2*2=4) or in exponential form 2^2.
  • If you have one set of two apples, you have two apples total (2*1=2)
  • If you have one set of one apple, you have one apple total (1*1=1)
  • If you have one set of half an apple, you have half an apple total (0.5*1=0.5)
  • Finally, if you have one set of half of a half of an apple, you have a quarter of an apple total (1*0.5*0.5=0.25). So that's why multiplying 0.8334 by itself four times results in a smaller number.
 
^ means "to the power of". In mathematics usually you'd see the "power" as a superscript without the caret (^) symbol. But usually when typing or programming the caret is used instead as it's easier. So for instance - 2^3 = 2*2*2 = 8.

The reason the result of (0.8334)^(4) is a smaller number = 0.4824 can be explained this way:
  • If you have two sets of two apples each, you have four apples total (2*2=4) or in exponential form 2^2.
  • If you have one set of two apples, you have two apples total (2*1=2)
  • If you have one set of one apple, you have one apple total (1*1=1)
  • If you have one set of half an apple, you have half an apple total (0.5*1=0.5)
  • Finally, if you have one set of half of a half of an apple, you have a quarter of an apple total (1*0.5*0.5=0.25). So that's why multiplying 0.8334 by itself four times results in a smaller number.

Ahh thanks. It does work in a calculator.
 
I have an additional question to the air combat values.

Does increasing the "Chance to Intercept Enemy Air Missions" in the general settings applies only to fighter planes or also to AA-units?

I would like to have more air to air combat in my games as CAP (Combat Air Patrol) is currently very ineffective (10 Jet Fighters are on CAP over my fleet and landing point, but are unable to stop three Biplanes to make a bombing run).

Also as I have not seen it yet: Do Interceptors and AA also attack Air Drop Missions by Helicopters and Paratroopers?
 
@Kirejara:

''Also as I have not seen it yet: Do interceptors and AA also attack Air Drop Missions by Helicopters and Paratroopers?''

Yes they can intercept a helicopter doing an airdrop mission, but they cannot intercept a paratrooper such as the 'Modern paratrooper'.
 
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