Recent content by pcm

Terse. I checked other books and I didn't find one that was better. I am using this book for now and supplementing it with Kedlaya's notes, and for Dirichlet's theorem I found a nice exposition by Knapp.

Something other than Apostol's book which I find lacking in motivation. Not too advanced, since it is my first encounter with ANT.

It's not 1/2. Check your calculation.

As Simon said you are using p for two different things. You can use the fact that p(1-p) (where 0<p<1) has a maximum value(find it). You can use it to get a bound for your answer.

Write the Newton's laws in the frame of the ground. It is an inertial frame. Write down all the forces(along both axes). Also observe that for every meter the car moves, block A moves by 2 meter.

yes,x=y is only possible. By graphing all lines and checking possible values for x, i get x between -20 and 20. And maximum is indeed for x=-20.

(10,10)

That is not going to work.What you say is maximum is true only for a=b,if you apply AM GM inequality on a,b.Doing so for 1st 2 expressions give x=140,y=260. *I don't know the answer*

Nice essay.Really an eyeopener. Thanks ZapperZ.

no you don't have to include no.of moles of solid. no, it would go backwards,as Qp>Kp. for (iii) and (iv) read le chatelier's principle. http://www.chemguide.co.uk/physical/equilibria/lechatelier.html#top

to prove square root function to be bijective you need to specify the domain and codomain of the function. if codomain is set of real numbers, then its not bijective.

the integrated rate law for 0th,1st,2nd order might help for problem 13. for q.14 use first two data to find the rate law and rate constant. then using arrhenious equation and the third data find rate constant at 650K. use the integrated form of rate law to find the required time.

i get 0.782 if i take g=9.8 m/s^2.

if you need equivalent resistance, then it can be reduced to series/parallel combination by first using delta star transformation.

cartesian