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He is unworthy of the name of man who is ignorant of the fact that the diagonal of a square is incommensurable with its side. Plato (427-347 BC) There are certainly people who regard √ 2 as something perfectly obvious but jib at √ -1. This is because they think they can visualise the former as something in physical space but not the latter. Actually √ -1 is a much simpler concept. Edward Charles Titchmarsh (1899-1963). |
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P. Sebah also gave tiny codes for the computations of √ 2 and produces the following program : |
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main() { int a=1000,b=0,c=1413,d,f[1414],n=800,k; for(;b<c;f[b++]=14); for(;n--;d+=*f*a, printf("%.3d",d/a),*f=d%a) for(d=0,k=c;--k;d/=b,d*=2*k-1) f[k]=(d+=f[k]*a)%(b=100*k); } |
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1) Wolfram Mathworld |