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Altogether, the added space should provide plenty of elbow room for new adventurers as the game's population expands. New areas include an expansive desert, a volcanic island covered in jungle, and a northern fishing village populated by the Mithra race, whose architecture provides another visual echo of FFX. The expansion adds new cosmetic options for customizing a player, and more importantly, it adds at least one new character classes, the Dragoon, Samurai, and Ninja. By the time this pack was ready to come to the United States, Square just decided to include it in the release of FFXI. It delivered an enormous amount of new, fresh content to the game. This was the first official expansion pack for Final Fantasy XI. More information about each individual release below Your final derived expression demonstrates that changes in INT become more efficient with increasing MAB, not that "MAB has diminishing returns.Final Fantasy XI Online is up to almost five expansions, which all have been released for the Playstation 2, PC, and Xbox 360. In contrast, the rate of change of damage with respect to INT does depend on (current) MAB.Ĭonsequently, changes in INT become more efficient (with respect to increasing damage) as MAB increases, whereas the efficiency of MAB is the same regardless of MAB level. Second, as you have already shown, the rate of change of damage with respect to MAB does not depend on MAB. If you disagree with all this, there is no point in reading further. Percent changes have nothing to do with this. The partial derivatives presented here describe the rate of return (with respect to some input) and diminishing return refers to a decreasing rate of return. So what?įirst, the concept of rate of return can be described as a rate of change of output (damage in this case) with respect to some input, be it INT or MAB. It is easy to fashion some sophistry that "INT has diminishing returns," too. However, later claims hamper your fine work, particularly your assertion that your work illustrates that MAB "has diminishing returns" is ludicrous (to be blunt) after having invoked differential calculus and economics concepts. This is really good support for such rules of thumb and a good way to illustrate how changes to the magic damage function work. In other words, as your MAB increases, raising INT will become more and more damage-efficient. Notice that MAB is found on the denominator, which indicates as MAB increases, less INT will be required to match that increase in damage. Voila! We now have an equation to calculate the amount of I_Y required to match 1MAB’s worth of damage. Once again, the equation for calculating your damage is,
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^^īy the way, if the equations don't display properly, your browser is probably blocking the HTML or Java script that takes the code and turns it into equations. It is simply an insight into the logic and reasoning that goes behind our decisions.īy providing mathematical support for the claim, not only do we get absolute, logical proof that the relation holds true (under certain circumstances), but we can verify its accuracy, and if need be, further refine the rule.īut in all honesty, I was bored. To be safe, I am going to write for someone who has a high school background in Calculus, or someone in their freshman year in college.īear in mind that the mathematics detailed below will not necessarily make you a better player, nor will unveil some great profound secret that will change the way you look at nukers forever. In addition, I have no idea what kind of math background my reader, you, would have. However, I have not yet come across any mathematical support for this statement.Īs advanced warning, there is a decent amount of math involved, which brings about two issues-first, not everyone likes math, so I’ll have to step away from the mathematics from time to time to explain what is going on. Today, a fairly common rule of thumb is that “2INT ≈ 1MAB,” which has been largely shown to be true from general observation. Out of this comes the question of when the transition period is, and thus there is a need to relate the two together. However, it is also known that for lower tier nukes, INT adds more damage than MAB. It has been long known to Black Mages that resists aside, Magic Attack Bonus, or MAB for short, is the stat that you want to focus on when it comes to raising your nuke damage.