Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 Re: Help Me ! » Can I derive a hyperbolic formula using 2 points and an asymptote? » 2006-10-11 04:39:48

Ah - PERFECT!  That's EXACTLY what I was after and it works GREAT!  Thank you very much!

#2 Re: Help Me ! » Can I derive a hyperbolic formula using 2 points and an asymptote? » 2006-10-09 10:48:55

OK - thanks.  I feel like I'm getting somewhere, except I'm not familiar or have forgotten the notation.  I don't know what e & t represent, and I don't know what you mean by "rate constant."  Sorry.

#3 Re: Help Me ! » Can I derive a hyperbolic formula using 2 points and an asymptote? » 2006-10-06 07:25:10

Ah, well, I don't - know that it's a hyperbola.  What I'm really after is an approximation (key word) of productivity, given that learning "appears" to be complete after a certain duration.  And I'll assume that, say, 95% learning equates to "trained" and that more learning happens over time, but resulting in a negligible increase in productivity.  I've looked at write-ups for learning curves but they all seem to be based on tracking the number of units completed (say, per day) and this problem is more subjective, a qualitative measurement rather than a quantitative one.


Make sense?  It's just something that got stuck in my craw and I can't seem to let go of it.  I'd really appreciate it if you can put me in the ballpark.

#4 Help Me ! » Can I derive a hyperbolic formula using 2 points and an asymptote? » 2006-10-05 10:48:48

shudan54
Replies: 7

I'm trying to derive a learning curve formula, using the x-axis for elapsed time and the y-axis for the percent of acquired knowledge/skill.  Assuming the curve begins at 0,0 and the estimate of learning reaches 95% after n units of time, what would the formula be for this linear function?  (The asymptote would have a y value of 1.)  I'd really appreciate your help because I've forgotten if this is even enough information to write the formula.  I want to assume that the learner never actually reaches 100% but keeps getting closer to it over time.

Board footer

Powered by FluxBB