Basically Pi 3.14.... Etc. is the number that is used for circles. Should you want to build a building with a cirlce roof you'll need to find the circumference. Basically you multiply pi with the diameter and you get the circumference. There is a lot more to it than that; pi turns up in many contexts which aren't about circles. One is Fourier series, used in problems ranging from the distribution of heat in physics to acoustics, image analysis, and in filters in circuits in electrical and computer engineering. The formulas for Fourier series involve pi. I think you will find that pi turns up in every branch of engineering.
//Program to calculate the value of pi using monte carlo method: /* NADEEM AHMAD MCA 2012 NITISH HOODA M TECH 2012 SHARDA UNIVERSITY GREATER NOIDA*/ #include<stdlib.h> #include<stdio.h> #include<math.h> #include<string.h> #include<conio.h> #define SEED 35791246 void main(int argc, char* argv) { int niter=0; double x,y; int i,count=0; /* # of points in the 1st quadrant of unit circle */ double z; double pi; printf("Enter the number of iterations used to estimate pi: "); scanf("%d",&niter); /* initialize random numbers */ srand(SEED); count=0; for ( i=0; i<niter; i++) { x = (double)rand()/RAND_MAX; y = (double)rand()/RAND_MAX; z = x*x+y*y; if (z<=1) count++; } pi=(double)count/niter*4; printf("# of trials= %d , estimate of pi is %g \n",niter,pi); getch(); }
the piecewise linear chaotic map is defined as follows: xi+1=Fpi(xi)= xi/pi if 0<=xi<pi (xi-pi)/(0.5-pi) if pi<=xi<0.5 Fp(1-xi) if xi>=0.5 where 0<=xi<1 and the control parameter 0<pi<0.5
float pi = 3.142; // Note: pi is an irrational number, there is no "exact" value of pi
Arrays can be regarded as constant pointers. Example: int *pi, ai[5]; pi= ai; /* okay */ pi[0]= ai[0]; /* okay */ ai[0]= pi[0]; /* okay */ pi= (int *)malloc (10*sizeof (int)); /* okay */ ai= pi; /* NOT okay */ ai= (int *)malloc (10*sizeof (int)); /* NOT okay */
Johann Lambert proved that pi is irrational in 1761.
Johann Lambert proved that pi is irrational in 1761.
Johann Lambert
He proved that pi is an irrational number.
that pi is irrational
Lambert.
The first proof of the irrationality of Pi was done by J.H. Lambert in 1768
Johann Heinrich Lambert
Pi is an irrational number. Johann Heinrich Lambert proved that in the late 18th Century.
Johann Heinrich Lambert
Because pi can not be expressed as a fraction
It was known from ancient times that pi is irrational. However, that fact was proven in 1761 by the Swiss scientist Johann Heinrich Lambert.