Is Pi really non repeating?
959905
I understand what you are saying when you mention the permutations for 10 digits, but I think you're missing what it really means.  First, this isn't right to think of it this way to think about this.  Non-repeating doesn't mean that I can't find a string in the decimal expansion that's the same as an earlier string (for example, finding a piece 14159 later in pi isn't impossible).  What it means is that there is no point where the digits in pi *completely* repeat (i.e. it becomes something like 141591415914159.... on and on forever).  So you're right, it can include some kind of partial repeat, but non-repeating means it can't have a total repeat.\n\nYour comment about the permutations (not combinations) on the numbers {0,...,9} is right but it's used incorrectly also.  It's wrong because of what I mentioned above.  Basically it's assuming that once you pick a number you can't repeat it again in a 10 digit sequence, but that's clearly wrong (again, 14159 appears in pi, where 1 occurs twice).  So you have several right ideas here but you're combining them seomwhat incorrectly.\n\nHope this clears things up!!
155180
No, it's an infinite decimal sequence (as far as we know) so far Pi has over 400,000,000 digits, you can see them over on this page, http://www.hepl.phys.nagoya-u.ac.jp/docs/pif500.text.gz
262913
It is not "almost impossible" it is really and truly impossible.  The digits never end, ever.\n\nI can give you a process you can use to calculate as many numbers as you want to... it has been used by supercomputers to calculate billions of digits.  However, that's the best that can be done.  You can never have ALL the numbers.\n\nSorry.\n\nHere is what Wikipedia has to say:\n\nthe exact value of π has an infinite decimal expansion: its decimal places never end. Much effort over the last few centuries has been put into computing more digits and investigating the number's properties. Despite much analytical work, in addition to supercomputer calculations that have determined over 1 trillion digits of π, no pattern in the digits has ever been found. Digits of π are available from multiple resources on the Internet, and a regular personal computer can compute billions of digits with available software.
252300
I think this is otherwise known as recurring numbers. This occurs when you have an irrational number. The number is usually a fraction that does always has a remainder, but this remainder when written in the decimal is somewhat repeated. In other words thre is a sequence. An example is 0.722372237223. The numbers 7223 are recurrent.A number which does have a lot of numbers in its decimal but doesnt have recurrent numbers is e
267368
Pi is defined as a circle's circumference divided by its diameter. No matter what the radius of the circle is, when you divide those quantities, you'll get pi. \n\nHere's the weird thing: pi is more than just an irrational number. It's also a *transcendental* number, so "it \ncannot be the root of an algebraic equation with a finite number of terms." Quoted from the link below.
482997
because the definition of pi is the ratio of a circle's circumference to its diameter, or \n\npi = circumfrance:diameter\n\nthis ratio always equals 3.14.... , it's a constant
504982
Pi is not 22/7. The fraction 22/7 is just an approximation to pi. A better one is 355/113, but both are just approximations. Pi itself cannot be written as a fraction involving two whole numbers. It is defined as the ratio of the circumference of a circle to the diameter of that circle. This ratio was approximated by the ancient Egyptians and Babylonians. The Greek Archimedes showed that pi is between 3+10/71 and 3+1/7.\n\nIt has been shown that pi cannot be the solution of any polynomial equation involving intefers as coefficients. In other words, it is transcendental.
304229
Pi is approximately 3.14159.  It is the never ending number that results from dividing the circumference of a circle by it's diameter.
166362
The number that you have here is only a good approximation to the actual value of PI. Others exist that are even better. Their common feature is that unlike PI itself, they are all rational, which is why each has an easy pattern, like the one you noticed just now, for this particular approximation. No easy pattern can be found for PI however, because, as has been said in so many answers, PI is irrational That is not enough though, sqrt(2) is also irrational and yet it has a clearly noticeable pattern, through continued fractions. To add to PI's misery however, it is also transcedental(sp?) and that probably explains why it is so hard to deal with PI, or with E, for that matter. Both are irrational and transcendents and in that respect are different from many other irrational numbers.\nHope that helps.
298873
You can have as many decimals of Pi as you want. More than a trillion have been calculated up to now.\n\nThere is no pattern apparently in pi decimal expression, but some strange connections with squares and odd numbers appear from these remarkables infinite convergent expressions:\n\nPi =\n3+1/(6+9/(6+25/(6+49/(6+81/ ...\n\nPi/4 = 1-1/3+1/5-1/7+1/9 ...\n\n4/Pi =\n1+1/(3+4/(5+9/(7+16/(9+25/ ...\n\n4/Pi =\n1+1/(2+9/(2+25/(2+49/(2+81/ ...\n\n(Pi^2)/6 =\n1/1+1/4+1/9+1/16+1/25+1/36+ ...\n\n2/Pi =\n(1-1/4)(1-1/16)(1-1/36)(1-1/64)( ...
248100
Bottom line: pi is the ratio between the circumference and the diameter of a circle.\n\nAn infinite sum is one way of approximating pi: just add up lots and lots of the elements in the sum, and you get there eventually.  The infinite sum itself, of course, is pi with utter precision.\n\nThere is a trick (read about it in Science News) where you can compute a specific hexidecimal digit of pi, say the 10948573929384756th digit, without computing any others.  Cute, not useful to me.\n\nThe trick that is used most was developed by Srinvasa Ramanujan, an incredibly brilliant, mostly self-taught mathematician from India.  He developed a recursive formula that converges to pi.  Each iteration roughly doubles the number of decimal digits precision of pi in the answer.  I am given to understand that this is the tool used to do many of the "record breaking length" calculations of pi.  A Google search should dig it up.  I'd dig it up, but I can't find my translation of his notebooks...\n\nYou might want to look up the Buffon's Needle problem in a good book on probability theory...  It is a wonderful, stochastic, computation of the value of pi.  It's also slower than slow to converge...  But FUN to a math freak!
303735
Don't use 3.142.Use 22/7 as the value of Pi.Its "pi" not "pie".Pi=3.142 (approx.).In reality it goes into hundreds of decimal points without terminating.However "pi" is also equal to the fraction 22/7.If you have trouble with the decimals substitute the fraction as the value of pi-it is acceptable.This way it will be easier for you to calculate sums without a calculator.Pi is basically just the constant ratio that exists between the circumference and radius of any circle.C/R=22/7.
328487
no pi has not been miscalculated. the APPROXIMATE VALUE of pi is 22/7 . it is NOT the exact value. the actual value of pie is the number you get when you divide the circumferance of any circle by its diameter.
20408
Impossible to answer.  Pi is an irrational number meaning that the numbers after the decimal will continue until infinity.  While supercomputers can give the number to "upteen" decimal places, we can never know the last decimal place.
984735
At LEAST 3 times. \nOften it can be as much as approximately 3.1415926535..... times as much. \nCome to think of it, it's ALWAYS that many times as much.\nAnd "that many" is a number called "pi."
379752
recurring and non-terminating
662185
Irrational numbers don't have patterns, either.\n\nYou could take pi or e or sqrt(2) out to a hundered digits and stat test it.\n\nI just looked at sqrt(2), sqrt(3), and e.  I couldn't see any pattern to occurances.\n\nAlso, I can't think of any reason there would be more of some number than another.  For years, sqrt(prime) has been used as a source of random numbers.