## #math - Sun 1 Apr 2007 between 05:23 and 07:16

### NY Lost Funds

 HiLander the derivative, for example, is a formally defined operatorso the manipulations that lead to a closed form for the fibonacci numbers, for example, require no convergence euclidean HiLander: I see.. but what about using the Maclaurin formula a_n = d^n f(0) / dx^n * 1/n! ?HiLander: can that be made formally? HiLander if the resulting function is analytic, then yes, it'll have to work. the maclaurin formula for the coefficients is basically applying the formal derivative to the series and then noting that x=0 drops every term but the constantbut, in the context of generating functions (or, as Cale prefers, generating series), whether or not the "function" exists other than at x=0 is basically never taken into account Cale Which is why they're better referred to as series :) HiLander haha, i knew i could summon him with only a word(granted, enumerative combinatorics isn't the area of combinatorics i study, so i may have misspoken, but i'm fairly sure i'm mostly right) Cale You're really doing work in a ring of formal power series, and not usually concerned with convergence in the usual sense.There are some areas which attempt to make use of analytic convergence when it exists. I don't know much about them though. Parma_Quendion wow, I've been spamming people with my away message overnight action Parma_Quendion dehighlights "quen" Parma_Quendion dehighlights "quen" Vivan How solve the int[1/(x^2 + a)^(3/2)*dx] without a table...? euclidean HiLander, Cale: Thanks for your help. I'm glad I can make all those computations without worrying about convergence :) evariste but they're common thugs FatalError Vivan, trig substitution futurist "a_n / 1 + a_n _< ln(1+a_n) _< a_n by looking at the lower and upper sum for log(1+a_n) = INT(from 1 to 1+a_n)(1/x)dx" i don't understand why this is true.. BoundingBox what gradient should be provided in an area where there is no such? nephlim hey folksanyone awake? Mulder5 chances rae, life exists nephlim if I were doing an ANOVA to test differences between two groups, would n for each group need to be the same FatalError I really need to stop IRCing in my sleep action Mulder5 cant remember his stats Mulder5 cant remember his stats action nephlim neither nephlim neither Kampen nephlim n doesn't need to be the same nephlim i don't want to change the numbers, because in this case, the males outnumber the females 2:1. but i'm not sure if the diff in n would skew the ANOVA resultsthanks Kampen Kampen skew is what you're checking for, in a senseyou're looking at variance, right?that's what anova is nephlim i mean.... botch, screw withrightall the examples in my SPSS book have equal n Kampen what exactly are you trying to do?probably for simplicity nephlim i'm doing an ANOVA to test for varaince between the sexes with the accruacy of their self diagnosis vs what i actually found in the lab Kampen two-way anova? nephlim so a list of male and female patients