Since pi is the ratio of the circumference and diameter of any circle, i can understand the presence of it in formulae for area and volume, surface area, etc etc with a circle, spere and so on. But then why would this ratio appear in such unrelated topics like Heisenberg's uncertainty, Coulumb's force of attraction/repulsion , mathematical probability, and so many other places. I see nothing related to a circle here, and yet 3.141..... is used here. Is there some connection i dont realize, or is something else more important going on? Thanks for any help in advance.
2007-01-17 03:20:27 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
It comes as a solution to differential equations which may be based on spherical or cylindrical coordinates or there may be trigonometric or harmonic (sines/cosines) involved in the solution. Pi is just a natural when you deal with this stuff. For example Coulomb's law is usually based on a spherical geometry.
2007-01-17 03:26:08 · answer #1 · answered by Gene 7 · 1⤊ 0⤋
Pi crops up into formulae in various ways. With things like the uncertainty formulae that is related to the probability of things occuring within a certain (spherical) volume, and you can also calculate forces by assuming it occurs on the surface of a sphere rather than at a point.
Another reason for Pi cropping up is through integration and various infinite series (see link.) These can crop up in unexpected places - Pi isn't *just* the ratio of the circumference to the diameter.
2007-01-17 03:43:20 · answer #2 · answered by robcraine 4 · 0⤊ 0⤋
I have been told the rule of thumb is the closer you are to bone and the less fat on the area the more it will hurt. I have three one on my chest one on my ankle and one just below the bikini line. I got the first two over 10 years ago( the ankle and the chest) and I swore I would never do it again but time helps you forget the pain. Well at least some of it but between those two, the ankle was the worst. All together I would say the bikini was the worst for me but it has only been a few months ago since I got it and even then the most pain was when he was doing it and only while he was doing curves and color. Good Luck and if I could give anyone advice on getting a tattoo it would be to choose what you want one day but do not get it done for a week or so to give your self some time to be sure.
2016-05-24 00:06:58 · answer #3 · answered by ? 4 · 0⤊ 0⤋
pi relates more to the period and frequency of waves than a circle. A circle is a special case . . . consider looking at a circle from the other axis . . . so you'll be looking at a line . . . if you trace the circle at a constant rate the tracing point will move in the vertical at a different rate. pi is part of this relationship.
2007-01-17 03:36:51 · answer #4 · answered by Beau G 1 · 0⤊ 0⤋
Because The mathematical constant π is an irrational real number, approximately equal to 3.141592653..., which is the ratio of a circle's circumference to its diameter in Euclidean geometry, and has many uses in mathematics, physics, and engineering. It is also known as Archimedes' constant (not to be confused with an Archimedes number) and as Ludolph's number.
http://en.wikipedia.org/wiki/Pi
Archimedes' Approximation of Pi
http://itech.fgcu.edu/faculty/clindsey/mhf4404/archimedes/archimedes.html
2007-01-17 03:43:58 · answer #5 · answered by Anonymous · 0⤊ 0⤋
We have chosen to say that angle formed by st line is pi, that by right angle is pi/2. so whatever the value of pi may be in radians(another definition) it is 180degrees
we could have defined the hour in terms of this also. for example 1 day = pi hours.... (you are lucky not to have all those definition)
pi appearing at most of the places are for our calculation of angle..
2007-01-17 03:33:16 · answer #6 · answered by Sandeep K 3 · 0⤊ 0⤋
Don't have an answer but I agree with you, pi shows it pretty face in the most weird places. Like:
Sum( 1/n^2) = pi^2/6
My favourite is Euler equation:
e ^ (i*pi) + 1 = 0
Only God knows why.
2007-01-17 03:27:13 · answer #7 · answered by krumenager 3 · 1⤊ 1⤋
If you examine the proof of those you'll find a circle or something related in there somewhere, although often times it will be in the form of a trigonometric function.
it's there...you just gotta dig ;-)
Very interesting question!
2007-01-17 03:27:48 · answer #8 · answered by Gerfried 2 · 0⤊ 0⤋
There are many people who would make fun of the prospect of changing their fates. This is due to the fact that it believes that nobody gets more that exactly what is written in his fate.
2016-05-16 00:16:56 · answer #9 · answered by brian 2 · 0⤊ 0⤋
because pi is recognized as 3.141 so in the interest of abbreviation pi is used?
2007-01-17 03:30:02 · answer #10 · answered by cookiesmom 7 · 0⤊ 2⤋