Pi Definition and 504 Threads

Is it possible to design a cable with properties (Capacitance and Inductance) to reduce the number of components needed for the PI filter? I know I can design a cable to have a specific capacitance and specific inductance, but I am not sure if or how i would get these to work with the pi...

Howdy folks. The Gelfond-Schneider Constant 221/2 is transcendental. Of my understanding, transcendental numbers are a special case of irrational numbers in the sense of how they may or may not be derrived. This being the case, how is it that many infinite series are stated with such...

Homework Statement Hello, I am trying to draw a Feynman Diagram at quark level for the decay sigma+ -> neutron + pi+.Homework Equations sigma+ -> neutron + pi+ uus -> udd + udbarThe Attempt at a Solution Well, the attachment is what I came up with. I have no idea if it's right to be honest...

Homework Statement \int_{0}^{\pi} \cos ( \sin x ) \mbox{d}x The Attempt at a Solution If I use u = \pi-x I get : \int_{0}^{\pi} \cos ( \sin x ) \mbox{d}x = \int_{0}^{\pi} \sin ( \cos x ) \mbox{d}x but then what?

Homework Statement Solve for 0 ≤ θ ≤ 2π (pi). Give the exact values. tan^2θ=2tanθsinθ I'm not sure how to go about this one =/

Good day everyone I'm implementing a speed controller for a DC motor 220 v 2.7 A 1500 rpm. I've already made and tested the firing circuit and the motor works fine in an open loop. Now big problem the parameters of the motor are unknown and impossible to find. No time for mechanical...

Hi, I have the following equation: \Theta = log \left(\frac{\Pi}{1-\Pi}\right) I want to re-arrange it for \Pi Here's my attempt: \Theta = log \left( \frac{\Pi}{1-\Pi}\right) \Theta = log \left( \Pi \right) - log \left(1-\Pi \right) exp^{\Theta} = \Pi - (1-\Pi)...

Homework Statement Find all angles x, -pi <= x <= pi which satisfy sin4x = 1Homework Equations The Attempt at a Solution Solved x, ie 4x = sin^-1(1) 4x = pi/2 x = pi/8 Sine is positive for angles in quadrants one and two, so there's one other angle which is in quadrant two? x = pi - pi/8 x...

Hoo-Ray, to all us math-science geeks! It's PI day...3-14! Um, well, maybe only for those of us who use mm-dd format :-p ...

In "http://users.info.unicaen.fr/~karczma/arpap/lazypi.ps.gz " Jerzy Karczmarczuk develops some functions for computing pi lazily. http://www.haskell.org/haskellwiki/Libraries_and_tools/Mathematics This thread is motivated by the following response by Hurkly in the thread...

I am interesting for mathematical background od fast algorithms for computing number \pi with complete proofs only. More specific, I am interesting for Gauss Legendre algorithm, Borwein algorithm, Ramanujan formulas and Chudnovsky formula.

That's what my Precal teacher said, and so far I agree with him (though that's not saying much as I've only been exposed up to Precal mathematics). Do all of you mathematicians agree?

Who is pi derived, and what exactly is pi.

My first topic here. Here goes I've written a small program that first calculates pi in decimal and then changes it into binary. But as you know there's no accurate binary presentation even for 0.1 so I just can't change the whole 20000 decimal representation of pi into binary. I there for...

hi are all answer are correct ? help please http://img73.imageshack.us/img73/2421/10267725rs8.png

Homework Statement y = sin \pix Using arc length and surface revoultion on x-axis 0 <= x <= 1 The Attempt at a Solution d/dx sin \pix = \pi cos \pix (\pi cos\pix)^2 = \pi^2 cos^2\pix \int sin pi * x * 2 * pi * \sqrt{1 + pi^2 * cos^2 (pi*x)} u = pi cos (pi * x) du = -pi^2 * sin...

Sin [Pi. (x-1)] / x-1; for x =1,2,3,...N Sin [ Pi. (x-1) ] / (x-1) = ? for x=1,2,3,4,...N I think for Sin (x) / x =1 but, what about that.

The Perimeter Institute has a talk on the Feynman chessboard / checkerboard model scheduled for a few days from now. This will be recorded and you can play it back, sometime after November 18th. Links: Speaker(s): Garnet Ord - Ryerson University Ord's website...

I just got invited to Sigma Pi Sigma and I'm wondering if it's worth paying the fees to join. It does not seem to be very selective (it says GPA > 3.0), so I'm not really sure if it means much being in it. The way I see it, I am paying $45 for something to fill one of the "Honors and...

What is the physcial signifcance of pi's appearance in a mathematical solution, if any?? Pi, the circumference of a circle divided by diameter, shows up in all sorts of mathematical solutions..classical, quantum, sometimes in unexpected mathematical results. As an example, Unruhs law is...

Hi, When exactly does the phase change of \pi occur when a EM wave reflects from a surface? I notice that it happens in Lloyd's mirror for example, and also when considering non reflective coatings on lenses. Is it just when the EM wave is going into a medium with higher refractive index or...

I know pi/2 = 90 degrees and that it's related but how do I express this?

I assert that an omnipotent creator (calling it God just for the sake of convenience) could not change the value of Pi, and therefore omnipotence itself is impossible, that there are some universal laws that are immutable and exist purely by virtue of logic, neither requiring a creator nor...

by writing arctan as a power series, you can obtain an approximation to arctan (1/root 3) and hence approximate pi. I've done this by multiplying my answer for arctan (1/root3) by 6 to get 3.14... radians. I would like to know How can this approximation be improved? thanks!

Howdy ho. No reason for a welcome around here, it's not about me it's about the Mathematical Anti-Telharsic Harfatum Septomin, eh!? (I hope at least one of you are familiar with that guy) Nonetheless, I've become obsessed with the transcendental property, and thusly therein my familiarization...

Hi all, I am working on aerodyanmics homework, and I've been stuck on this problem for a while. "The shockwaves on a vehicle in supersonic flight cause a component of drag called supersonic wave drag Dw. Defined the wave-drag coefficient as Cdw = Dw/(qS), where S is a suitable reference...

Hello. This is driving me a little mad, and some assistance would be hugely appreciated. Homework Statement Show how the following transformation can be achieved (more than one step may be involved) Homework Equations The Attempt at a Solution The only approach i could come up with was the...

Have you guys noticed how the acceleration of gravity is almost equal to pi squared?

1) Let F be the smallest number field containing pi. Prove that F is countable. The first trouble I am facing is: What actually is the smallest number field containing pi? How can we know its cardnality? Could someone please help me? Thanks!

Hi I couldn't find any specific reading material for T and PI network based compensation in control systems. I was hoping someone could point me in the right direction. If you happen to know something about this, please do reply to this thread. Thanks in advance.

Just pondering... If pi continues without ending and can be considered to "contain an infinite number of digits" then isn't there a repeating sequence of infinite length contained in pi, thus making it a repeating decimal? Obviously not...but what is the reason? Thanks!

I guess one could use any irrational numbers here, but phi and pi are favorites. I am sure that most people are aware of the infinite monkey theorem. If not use http://en.wikipedia.org/wiki/Infinite_monkey_theorem as a reference. By using this theorem, could one say that the the first...

Homework Statement Locate & name the singularity of the function Sinz /z- ∏ Homework Equations The Attempt at a Solution The function has singularity at z= ∏ but am not able to figure out what type of singularity it is , at z=∏ it gives 0/0 form which is indeterminate form...

http://www.piday.org/

I have a amateur question regarding pi. I know what pi is, in a general sense, but I am looking at equations (e.g, the cosmological constant, Heisenberg's uncertainty principle, etc) where pi appears, but I do not see any relation to circles in those equations. I am sure there is, but I just...

Hi, I have a BA II plus Prof. and there's no "pi" key, I tried using the trig functions to get the value but it always give me a something in degrees. I want to avoid using 22/7 as it's not close enough. Is there any way to get the number instead of memorizing it? THanks!

Let a,b\inR^{m}, b\neq0 and set \phi(t)=a+tb. We must show that the angle between \phi(t_{1})-\phi(t_{0}) and \phi(t_{2})-\phi(t_{0}) is 0 or \pi for any t_{0},t_{1},t_{2},\inR with t_{1},t_{2}\neq. The 0,1, and 2 are supposed to be subscripts next to t, but my Latex is showing is as...

The question is exactly this: Prove that the maximum speed (Vmax) of a mass on a a spring is given by 2(pi)fA. where f = frequency and A =Amplitude We are given such formulas as: f=[1 / 2(pi)]square_root (k /m) or f=[1 / 2(pi)]square_root (a /-x) the formula for total energy in a...

prove that \frac{1}{1^2.3^3.5^2}-\frac{1}{3^2.5^3.7^2}+\frac{1}{5^2.7^3.9^2}-...=\frac{1}{9}-\frac{\pi}{2^6}-\frac{\pi^3}{2^9}

Homework Statement Via iteration. A continued fraction for pi is: Write an algorithm to compute this to n terms using Matlab. 1st term would be 3+1/9 The Attempt at a Solution p = '1'; for k = 1:n p=3+(-1+2^n)/(3+p); end p I'm very new to programming, and I can...

Is there a proof or disproof that any given finite string of digits will occur somewhere in Pi?

Hi. Could someone please help me with the following C3 question? I would really appreciate any help as I am completely stuck at the moment. Find, in terms of pi, the solutions of the equation sin5x + sin x = 0 for x in the interval 0 >= x > pi. I wrote down that sin(3x + 2x) + sin x = 0...

[SOLVED] uncertainty of pi? does pi have any uncertainty? I am trying to solve the volume of a right circular cylinder with h=2.3±0.1 and radius 0.12±0.05m..i cannot continue cause i do not know if pi has an uncertainty..thanks

Can anyone express arctan(11/2) in terms of pi. Is there an easy way to do this?

How would i rearange A=2\pi r(r+h) to make h the subject?

the mc^2 for a pion and muon are 139.57 MeV and 105.66 MeV respectively. Find the kinetic energy of the muon in its decay from \pi ^+ -> \mu^+ + \nu_{\mu} assuming the neutrino is massless. Here's what I did: Since E^2=p^2c^2+m^2c^4 and that c=1, then E, p and m have same units. E^2 = p^2...

Dr. A. Chou of the Auger Ultra High Energy Cosmic Ray detector announced today that the last three years of partial information has been analysed to show at the 95% confidence level, UHECR's are caused by protons from Active Galactic Nuclei. Dr. Chou presented his data to the conference on...

Homework Statement Hello, I'm doing an error analysis problem and I'm not sure how to compute this. What is 1.23 +/- 0.03 + pi Homework Equations I know the equation for the error of two additions. Error = sqrt of ( error in x ^2 + error in y ^ 2 ) The Attempt at a Solution...

Homework Statement A proton or a neutron can sometimes "violate" conservation of energy by emitting and then re-absorbing a pi meson, which as a mass of 135 MeV/c^2. This is possible as long as the pi meson is re-absorbed within a shoart enough time \Delta T consistent with the Uncertainty...

Homework Statement For the double integrator described with transfer function G(s) = \frac{1}{s^2} the initial condition is zero. The double integrator is subjected to a unit‐feedback system where the controller is chosen as 1) a PI-controller with C(s) = k_p \left( 1 + \frac{1}{s}...