tag:blogger.com,1999:blog-12821013.post7062557333429112110..comments2011-08-09T03:41:33.112+08:00Comments on The Bloggaru!: Calculus & FFXI -- INT and MABTuuflesshttp://www.blogger.com/profile/11326149814322397823noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-12821013.post-58182800706686410542010-01-13T01:34:34.162+08:002010-01-13T01:34:34.162+08:00/bow/bowAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-12821013.post-59327687715671012202009-09-28T12:10:57.838+08:002009-09-28T12:10:57.838+08:00I'm actually in Calc 3 studying partial deriva...I'm actually in Calc 3 studying partial derivatives at the moment. The question you answer here is one of the questions that inspired me to study mathematics in the first place.<br /><br />It's amazing to see what I'm learning and how it can be used come together in such a fun way~! Thanks.Matthewhttp://www.blogger.com/profile/16284711395484730507noreply@blogger.comtag:blogger.com,1999:blog-12821013.post-26651242827374361912009-08-25T21:15:50.509+08:002009-08-25T21:15:50.509+08:00The images created for the equations are inserted ...The images created for the equations are inserted as img elements with class="mathimg". So you should be able to make the borders disappear by just defining how img.mathimg is supposed to look in your .css files.SKudohttp://huy.dinh.myopenid.com/noreply@blogger.comtag:blogger.com,1999:blog-12821013.post-66979303078606886342009-08-25T10:56:46.195+08:002009-08-25T10:56:46.195+08:00@Robonosto:
Good point- thanks for picking that u...@Robonosto:<br /><br />Good point- thanks for picking that up. I'll admit that the end part was rather rushed, so not as clearly thought out as the rest of the post. I'll probably have to rewrite and edit that last bit now, heh.Tuuflesshttp://www.blogger.com/profile/01521869912761747584noreply@blogger.comtag:blogger.com,1999:blog-12821013.post-17878370449922567322009-08-25T06:26:46.128+08:002009-08-25T06:26:46.128+08:00This is really good support for such rules of thum...This is really good support for such rules of thumb and a good way to illustrate how changes to the magic damage function work.<br /><br />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 <b>and</b> economics concepts. It is easy to fashion some sophistry that "INT has diminishing returns," too. So what?<br /><br />First, 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. 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. Percent changes have nothing to do with this.<br /><br />If you disagree with all this, there is no point in reading further.<br /><br />Second, as you have already shown, the rate of change of damage with respect to MAB does not depend on MAB. In contrast, the rate of change of damage with respect to INT does depend on (current) MAB.<br /><br />Consequently, changes in INT become <b>more</b> efficient (with respect to increasing damage) as MAB increases, whereas the efficiency of MAB is the same regardless of MAB level.<br /><br />Your final derived expression demonstrates that changes in INT become more efficient with increasing MAB, not that "MAB has diminishing returns."Robonostohttp://www.blogger.com/profile/16804277801694825265noreply@blogger.comtag:blogger.com,1999:blog-12821013.post-33977513873337208942009-08-25T01:57:27.877+08:002009-08-25T01:57:27.877+08:00A+++++
Awesome post.A+++++<br />Awesome post.solanisnoreply@blogger.com