Pi Definition and 514 Threads

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}...

This has probably already been brought up at some point, but does anyone else think it is strange how much pi, the ratio of circumference to diameter, occurs in so much that has nothing to do with circles? I mean, why should an electric potential between two grounds have any significance with...

Homework Statement http://img413.imageshack.us/img413/226/8m1celf4.gif On b, why is the pi exp 3.18 +- 0.04 and not .012? Homework Equations The Attempt at a Solution

[SOLVED] Differentiation involving Pi Homework Statement Differentiate sin(t) + (pi)cos(t) Homework Equations Am I supposed to leave pi alone and just solve for the cos and sin parts? Or do I get f'(x) of pi as well?The Attempt at a Solution I know that f'(x) of sin(t) = cos(t) Now what do...

Hi all In almost all the formulae related with symmetry, we use pi. For example, in case of circle, we use pi, and in case of sphere we use 4*pi. e.g. E (electric field)= (q * qo) * 1/(4*pi*eps* r^2) A (circle)= pi*r^2 A (sphere)=4*pi*r^2 My question is: How does pi signify...

I know of Euler's equation e^i(pi)-1=0 but i saw another equation that interested me. And I'd like to see if i can prove it somehow and wondering the best way to do so (pi^4+pi^5)^(1/6)=e is this correct? or is this just a close approximation of e? it doesn't sound right to me for it...

Homework Statement Find the wavelength of the sodium transition 3p^{1},^{2}P -> 3s^{1},^{2}S Homework Equations E_{n,l} = -\frac{hcR}{(n - d(n,l))^{2}} d(3,s) = 1.374 d(3,p) = 0.884 \lambda = \frac{\hbar c}{\Delta E} The Attempt at a Solution Plugging the numbers in ain't...

Almost pi ... What is the solution to: \mbox{ $\frac{1}{2}$}\ \mbox{\Huge e}^{\ \frac{1}{2}X^2}\ -\ 2\ \mbox{\Huge e}^{\ 2X^{1/2}}\ =\ \left(\frac{1}{2} \right)^2} Answer: x = 3.1415935362596164657060129064942... Almost pi, the difference is only 2.8 10-7. Now, is this a coincidence or is...

What can "Dimensional Analysis Techniques & Buckingham Pi Theory" be used for? GS

I have heard that while pi is known to many millions, even billions of decimal places, gravity makes it both fundamentally and practically impossible to measure pi to more than 10 significant figures. I find this to be a very strage theory, and have never heard of it before. I am also finding...

Is there any mathematical explanation to the incredible fast converging formula by Ramanujan?: \frac{2\sqrt{2}}{9801} \sum^\infty_{k=0} \frac{(4k)!(1103+26390k)}{(k!)^4 396^{4k}}=\frac{1}{\pi} or simply "ocurred to him" and put it on a paper.

i think found a formula to calculate pic (almost). Problem is, it has pi in it. If you are working in radians, it is Ntan(π/N), where N is the number of sides of a polygon that is close to a circle. as n approaches infinity, the function approaches π. Is it cheating if i simply change it to...

I was wondering what would happen if someone found out that Pi had a remainder of 0 down the line, some billion or trillion or whatever decimels away. What implications would this have for practical sciences? All thoughts appreciated, ty.

All of you have a happy international Pi day.

Quote: "Bill seeks to change value of pi HUNTSVILLE, Ala.[1] NASA engineers and mathematicians in this high-tech city are stunned and infuriated after the Alabama state legistature narrowly passed a law yesterday redefining (pi), a mathematical constant used in the aerospace industry. The...

Homework Statement How many pi bonds are in the molecule C12H18? Homework Equations I have in my notes the formula (6nPi+2-total # of electrons)/2. The Attempt at a Solution Unfortunately I can't find an explination for this formula in the book and I don't remember what was...

Homework Statement Show that \frac{\sin (az)}{\sin (\pi z)} = \frac{2}{\pi} \sum_{n=1}^{+\infty} (-1)^n \frac{n \sin (an)}{z^2 - n^2} for all a such that - \pi < a < \pi Homework Equations None really, we have similar expansions for \pi cot (\pi z) and \pi / \sin (\pi z) , this...

Hello everyone, I am a senior physics student doing a paper on the pi meson. The only real website I can find with relevant information towards it is on wikipedia. I don't really want to use that as a source because of the credibility issue which arises with wiki. So I was wondering, (even tried...

Just by looking at its Lewis structure, how could you tell whether or not a molecule could have pi bonds? Thanks in advance.

If I take the first p digits of pi, is it possible that what I will have is the first p/2 digits repeated twice? For example, suppose pi = 3.14153141529485729487... and I took the first 10 digits and got 3141531415 which is 31415 repeated twice. Can this happen?

Hi Can someone show me from step one how to show that 22/7 is greater than pi. I don't really know how much I am asking here, but thanks in advance

Probably not very accurate, I admit, but it might be fun to try:http://www.wikihow.com/Calculate-Pi-by-Throwing-Frozen-Hot-Dogs"

Natural Numbers - Pi, Log, ... Greetings, I'm far from an expert on math and I wanted to appeal to smarter minds to help compile a list of numbers with non-repeating chaotic decimals: Here's the first 2 (the only 2 I can think of) Pi e I'd also include the order of prime numbers...

in calculus class i have been told that pi is irational, so then i realized that pi is not valued by actually measuring by hand the diameter and perimeter, since it would not be a pure number... 1. so how the hack is pi measured? 2. i want a proof of it being irational.crap, sorry wrong forum...

I know that the functions e^{2 \pi inx} for n \in \mathbb{Z} are a base in the space of functions whith period 1. How do I derive the orthogonality relations for these functions?

Hello to all, Quick question about Pi … If we can have a finite circle, how can Pi not be decimal ? VE

How to calculate the pI of a peptide?? Hello everyone, I am hoping someone can shed some light on this question. I know the general idea behind it but i can't seem to put the nail in the coffin. The sequence is ATLDAK and it asks to : Calculate its approximate pI This is what i have so...

I just checked the Perimeter site and Smolin had posted the title of his Wednesday talk ===quote=== Speaker: Lee Smolin Title: Could quantum mechanics be an approximation to another, cosmological, theory? Date: Wednesday October 11, 2006, 2:00 PM Abstract: We consider the hypothesis that...

Is this inequality true ever and when? 1/2 \phi{(p_{n}^{\sharp})} < \pi{(p_{n}^{\sharp})}-n

I decided to numerically calculated pi using MATLAb and running a for loop. When I make the steps too small I get absurd quantities for pi. Here see for yourself. When I make the interval higher then about 1e10 i get errors, but 1e6 works ok. Why would this be? Thanks <code> clc...

We know that pi is circumference over the diameter. But how often do we talk about the diameter in any type of math analysis? Radius is used 99% of the time so I think it should be more appropriate to define pi as circumference over the radius. It would only differ by a factor of two...

I was wondering about Hydrogen and wether or not it can form Pi bonds.

http://video.google.com/videoplay?docid=4776181634656145640 Now that's talent!:approve:

I don't get it "But his mathematical feat won the praise of others, including the math and computer science teacher who got Gaurav interested in it." Why is this considered a "mathematical feat"? He's not actually doing any math. I admit it's an awesome bit of memorization and recitation...

This is disturbing on so many levels: http://www.usatoday.com/tech/science/2006-03-16-pi-recitation_x.htm

Happy Pi Day! hi wish you all a very happy pi day!:smile:

Everyone remember that! To how many digits do YOU remember pi?

Does anyone know the measurments of a perfect circle? I've been trying to calculate Pi on my own, but I can't find a reliable set of measurments to use. Everything I've found so far has been close, but starts to deviate from the real Pi around the tenth decimal place.

http://arxiv.org/abs/hep-th/0603022 Quantum Gravity and the Standard Model Sundance O. Bilson-Thompson, Fotini Markopoulou, Lee Smolin 12 pages, 21 figures "We show that a class of background independent models of quantum spacetime have local excitations that can be mapped to the first...

may i know (cos n pi ) with n to infinity is converges or diverges?? may i know (cos n pi ) with n to infinity is converges or diverges??

may i know how to solve [ n^2 cos(n(pi)) ]/ n^2 + 42?? i have divided it by n^2 and get cos(n pi) / (42/n^2) and i can't solve already.pls help what is the limit for cos (n pi) and sin (n pi)??

I have always aked myself the question WHY does the area of a circle calculated by pi x r^2. Why is that? Can anyone illustrate it to me please?