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<blockquote data-quote="Nonlethal Force" data-source="post: 3751859" data-attributes="member: 35788">Kudos on bringing Calculus into this discussion.&nbsp; However, the numbers don't seem to support your conclusion.[Sblock=Stat block hid for reason of conserving space][Code]Level | Natural Log1&nbsp; &nbsp;&nbsp; | 02&nbsp; &nbsp;&nbsp; | 0.73&nbsp; &nbsp;&nbsp; | 1.14&nbsp; &nbsp;&nbsp; | 1.3[/Code][/Sblock]As you can see, there is no constant C that would attribute to the difference between the actual value for a fighter's BAB and ln [level].As an aside, once the given equation is discovered, it would be the same for cleric's progression and wizard's progression.&nbsp; The only thing would change is that instead of a 1, a cleric would have 3/4, and instead of 1 the wizard would have 1/2.&nbsp; Since they are constants, though, the calculus behind the equation would remain the same and the resulting function would be the same ... just following different constants.&nbsp; In other words, the graph would be an identical function, it would just have a different beginning location and a slightly adjusted slope.&nbsp; But the function would remain the same.EDIT: Actually, thinking about it, I think Caluculus can be used to show the relationship.&nbsp; But, I think the relationship is more like this:d[BAB] / d[Lvl] = 1&nbsp; Thus, the integration equation is d[BAB] = 1(d[Lvl].&nbsp; That would imply that:BAB = LVL + C, with C being equal to zero in this case.The reason that the equation is equal to 1 instead of 1/level is that a fighter's base attack increases a full 1 with each level.EDIT2: Sorry, I don't mean for the prior edit to state what BryonD posts below.&nbsp; i got an emergency phone call and my edit took longer than I thought.</blockquote>

[QUOTE="Nonlethal Force, post: 3751859, member: 35788"] Kudos on bringing Calculus into this discussion. However, the numbers don't seem to support your conclusion. [Sblock=Stat block hid for reason of conserving space] [Code] Level | Natural Log 1 | 0 2 | 0.7 3 | 1.1 4 | 1.3 [/Code] [/Sblock] As you can see, there is no constant C that would attribute to the difference between the actual value for a fighter's BAB and ln [level]. As an aside, once the given equation is discovered, it would be the same for cleric's progression and wizard's progression. The only thing would change is that instead of a 1, a cleric would have 3/4, and instead of 1 the wizard would have 1/2. Since they are constants, though, the calculus behind the equation would remain the same and the resulting function would be the same ... just following different constants. In other words, the graph would be an identical function, it would just have a different beginning location and a slightly adjusted slope. But the function would remain the same. EDIT: Actually, thinking about it, I think Caluculus can be used to show the relationship. But, I think the relationship is more like this: d[BAB] / d[Lvl] = 1 Thus, the integration equation is d[BAB] = 1(d[Lvl]. That would imply that: BAB = LVL + C, with C being equal to zero in this case. The reason that the equation is equal to 1 instead of 1/level is that a fighter's base attack increases a full 1 with each level. EDIT2: Sorry, I don't mean for the prior edit to state what BryonD posts below. i got an emergency phone call and my edit took longer than I thought. [/QUOTE]

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