Recent content by zasdfgbnm

\theta =\log \left(\frac{\Pi }{1+\Pi }\right) \frac{\Pi }{1+\Pi }=\exp (\theta ) \Pi =\exp (\theta )+\exp (\theta ) \Pi [1+\exp (\theta )]\Pi =\exp (\theta ) \Pi =\frac{\exp (\theta )}{1+\exp (\theta )}

I see where is the mistake. But I have done some work the moment the idea occurred to me to verify whether it's true.I tried to prove x^2<1 when x≥0 using my method.if I succeed,it's obvious that my method is wrong.But I failed.Here is my work: First,when x=0,obviously it's true. Second,assume...

why? Δx→0 means that Δx is smaller than any positive number but larger than 0. It's true for m=0,then it's true for m=Δx,then it'x true for m=2Δx,then it's true for m=3Δx,...,then it's true for m=(0.01/Δx)×Δx=0.01,then it's true for m=(0.02/Δx)×Δx=0.02,...,then it's true for m=(any x/Δx)×Δx=any x

While learning mathematical induction,an idea occurred to me. Mathematical induction is done by proving that the first statement in the infinite sequence of statements is true, and then proving that if anyone statement in the infinite sequence of statements is true, then so is the next one...

Homework Statement http://picasaweb.google.com/lh/photo/ChOBWTwVEO3hI0wtftmdmw?feat=directlink A rigid rod is put in a global bowl horizontally.The bowl is shaggy.Do friction forces exist where the rod and the bowl touch? Homework Equations The Attempt at a Solution If the bowl is...