Math

Problem with differentiation
f(x) = (4x^2 - 1)^6, g(x) = (4x^2 - 1)^5 Find {x: f'(x)> g'(x)} f'(x) = 48x(4x^2 - 1)^5 g'(x) = 40x(4x^2 - 1)^4 Solve 48x(4x^2 - 1)^5 > 40x(4x^2 - 1)^4 48x(4x^2 - 1) > 40x 48(4x^2 - 1) > 40 6(4x^2 - 1) > 5 4x^2 - 1 > 5 / 6 4x^2 > 11 / 6 ... 7 Jun 2010 16:37

Stein and Shakarchi's Princeton Lectures in Complex Analysis
Below is from an Amazon review of this complex analysis book which I am considering buying "Note: theorems of Picard and Mittag-Leffler are not proved in the textbook - they are actually assigned as exercises for the reader to prove). If you need the proofs of these theorems, look them up elsewhere." Does any... 7 Jun 2010 16:37

[Combinatorics] Ball choosing problem
Hi, there. Here is my question: Given n balls numbered from 1 to n, what is the possibility of existing l balls with consecutive numbers after choosing m balls from the whole ball set? (P_{n,m,l}, where 0<l<=m<=n) Thanks~ ... 6 Jun 2010 13:49

JSH: Importance of knowledge
On Jun 6, 3:46 am, rossum <rossu...(a)coldmail.com> wrote: On Sat, 5 Jun 2010 10:31:58 -0700 (PDT), JSH <jst...(a)gmail.com> wrote: I want to emphasize to all of you that the issue is one of a potential technological shift. If you know your history you should know the importance of technology, from th... 8 Jun 2010 13:44

zapping a moving car with the alleged Doppler radar yet the radio wave has no Doppler Chapt 8 #140; ATOM TOTALITY
pete wrote: Archimedes Plutonium wrote: radio waves instead of radar waves. What's your perceived difference between the two? (RADAR = Radio Detection And Ranging) -- pete Wavelength of some typical EM spectrum: Radar 10km to 1 km AM 1 km to 100 m FM 10 m to 1 m The di... 7 Jun 2010 17:44

zapping a moving car with the alleged Doppler radar yet the radio wave has no Doppler Chapt 8 #139; ATOM TOTALITY
On Jun 6, 12:22 am, pete <pfil...(a)mindspring.com> wrote: Archimedes Plutonium wrote: radio waves instead of radar waves. What's your perceived difference between the two? (RADAR = Radio Detection And Ranging) You are letting reality get in the way of philosophy. ... 6 Jun 2010 04:01

zapping a moving car with the alleged Doppler radar yet the radio wave has no Doppler Chapt 8 #139; ATOM TOTALITY
Archimedes Plutonium wrote: radio waves instead of radar waves. What's your perceived difference between the two? (RADAR = Radio Detection And Ranging) -- pete ... 6 Jun 2010 04:01

Separating AC Components From DC
Several functions in an equation have ac and dc components. If all the dc is filtered out of the functions for ac only and then all the ac out of the dc, will the equation hold for just the dc and just the ac? The equation doesn't do anything more than add, multiply and divide the functions. Bret Cahill ... 7 Jun 2010 18:51

Give me ONE digit position of any real that isn't computable up to that digit position!
On 6/06/2010 2:53 AM, Olivier wrote: Sylvia Else a �crit : [...] A computer is a finite state machine, so although it may continue to compute forever, its outputs must start to repeat. So so so very false -- Maybe you should have a look at van der Waerden's Theorem to get to understand how wro... 5 Jun 2010 22:23

Give me ONE digit position of any real that isn't computable up to that digit position!
"Olivier" <Olve(a)nowhere.wd> wrote ... Sylvia Else a �crit : [...] A computer is a finite state machine, so although it may continue to compute forever, its outputs must start to repeat. So so so very false -- Maybe you should have a look at van der Waerden's Theorem to get to understand how wrong ... 5 Jun 2010 21:18