Turret damage: Difference between revisions

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==General==

What does x^a mean? Just in case you are not familiar with this kind of math, lets take a look at some basics. ~~This~~ is nothing more than a convenient way of ~~write~~ 'x' times itself 'a' number of times, if x = 0.5 and a = 3 this will be 0.5*0.5*0.5, so 0.5 ~~times~~ itself 3 times. That is easy enough. Things become a little more abstract when 'a' has decimals or is lower than 1, e.g. 0.5^(0.3), how does one multiply 0.5 with itself 0.3 times? ~~Luckily we don't need~~ to ~~worry about~~ that, ~~we can just run the numbers in a computer~~ to ~~get the answer~~.

What does an expression like x^a mean? Just in case you are not familiar with this kind of math, lets take a look at some basics. Its read as 'x to the power of a' and is nothing more than a convenient way of writing 'x' times itself 'a' number of times, if x = 0.5 and a = 3 this will be 0.5*0.5*0.5, so 0.5 multiplied with itself 3 times. That is easy enough. Things become a little more abstract when 'a' has decimals or is lower than 1, e.g. 0.5^(0.3), how does one multiply 0.5 with itself 0.3 times? The interested readers will have to look up the answer to that elsewhere, since its not required to know that to continue reading.

A few ~~special~~ things with x^a is that when a = 0, the answer will be 1. In this case 1 corresponds to 100%, that is 100% hit chance. If 'a' is very high instead~~, like infinately big~~, the answer will approach 0, so 0% hit chance. ~~In our case,~~ this means that we want 'a' (the big scary thing on the upper right of 0.5 in the equation above) to be as small as possible ~~since~~ that ~~means more hits~~.

A few important things with x^a is that when a = 0, e.g. x^0, the answer will always be 1 regardless of what 'x' is. In this case 1 corresponds to 100%, that is 100% hit chance. When a = 1, we get x^1 which is the same as 'x', in the to hit equation a power of 1 means 0.5^1 = 0.5, so a 50% hit chance. If 'a' is very high instead, the answer will approach 0, for all practical purposes it will be a 0% hit chance. So what does all this mean? It means that we want 'a' (the big scary thing on the upper right side of 0.5 in the equation above) to be as small as possible to have a high chance of hitting a target. Alternatively, we might want a foe to have an 'a' that is as large as possible to reduce his damage output.

If you thought this part was tricky, don't worry about it, its not like anyone will ever solve equations like this when playing. We will now look into how this effect gameplay instead and how it can be taken advantage of.

==Range==

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 ==General==
-What does x^a mean? Just in case you are not familiar with this kind of math, lets take a look at some basics. This is nothing more than a convenient way of write 'x' times itself 'a' number of times, if x = 0.5 and a = 3 this will be 0.5*0.5*0.5, so 0.5 times itself 3 times. That is easy enough. Things become a little more abstract when 'a' has decimals or is lower than 1, e.g. 0.5^(0.3), how does one multiply 0.5 with itself 0.3 times? Luckily we don't need to worry about that, we can just run the numbers in a computer to get the answer.
+What does an expression like x^a mean? Just in case you are not familiar with this kind of math, lets take a look at some basics. Its read as 'x to the power of a' and is nothing more than a convenient way of writing 'x' times itself 'a' number of times, if x = 0.5 and a = 3 this will be 0.5*0.5*0.5, so 0.5 multiplied with itself 3 times. That is easy enough. Things become a little more abstract when 'a' has decimals or is lower than 1, e.g. 0.5^(0.3), how does one multiply 0.5 with itself 0.3 times? The interested readers will have to look up the answer to that elsewhere, since its not required to know that to continue reading.
-A few special things with x^a is that when a = 0, the answer will be 1. In this case 1 corresponds to 100%, that is 100% hit chance. If 'a' is very high instead, like infinately big, the answer will approach 0, so 0% hit chance. In our case, this means that we want 'a' (the big scary thing on the upper right of 0.5 in the equation above) to be as small as possible since that means more hits.
+A few important things with x^a is that when a = 0, e.g. x^0, the answer will always be 1 regardless of what 'x' is. In this case 1 corresponds to 100%, that is 100% hit chance. When a = 1, we get x^1 which is the same as 'x', in the to hit equation a power of 1 means 0.5^1 = 0.5, so a 50% hit chance. If 'a' is very high instead, the answer will approach 0, for all practical purposes it will be a 0% hit chance. So what does all this mean? It means that we want 'a' (the big scary thing on the upper right side of 0.5 in the equation above) to be as small as possible to have a high chance of hitting a target. Alternatively, we might want a foe to have an 'a' that is as large as possible to reduce his damage output.
+If you thought this part was tricky, don't worry about it, its not like anyone will ever solve equations like this when playing. We will now look into how this effect gameplay instead and how it can be taken advantage of.
 ==Range==