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|Title:||Unending journey of pi|
Srivastava, Bharat Bhushan
|Abstract:||Throughout the history of mathematics, there have been many efforts to determine Pi more accurately and to understand its nature; fascination with the number has even carried over into non-mathematical culture. Many countries in the world even celebrate Pi Day and Pi Approximation Day to commemorate the significance of the value of Pi.Pi has been known for almost 4000 years—but even if we calculate the number of seconds in those 4000 years and calculate <i>pi</i> to that number of places, we would still only be approximating its actual value. It is very much rational to talk about this irrational number, which means that its value cannot be expressed exactly as a fraction <i>m</i>/<i>n</i>, where <i>m</i> and <i>n</i> are integers. Consequently, its decimal representation never ends or repeats. It is also a transcendental number, which implies, among other things, that no finite sequence of algebraic operations on integers (powers, roots, sums, etc.) can be equal to its value. π (sometimes written pi) is a mathematical constant whose value is the ratio of any circle's circumference to its diameter; this is the same value as the ratio of a circle's area to the square of its radius. It is approximately equal to 3.14159 in the usual decimal notation. π is one of the most important mathematical and physical constants: many|
|Appears in Collections:||SR Vol.47(04) [April 2010]|
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