Sine Waves, Monte Carlo, October 25th, 2010 810:025
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f(x) = Sin(x) + 1 |
g(x) = 2Sin(x) + x + 1 |
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x |
f(x) |
g(x) |
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0.0 |
1.000 |
1.000 |
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6.28318 |
1.000 |
7.283 |
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0.1 |
1.100 |
1.300 |
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0.2 |
1.199 |
1.597 |
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0.3 |
1.296 |
1.891 |
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0.4 |
1.389 |
2.179 |
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0.5 |
1.479 |
2.459 |
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0.6 |
1.565 |
2.729 |
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0.7 |
1.644 |
2.988 |
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0.8 |
1.717 |
3.235 |
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0.9 |
1.783 |
3.467 |
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1.0 |
1.841 |
3.683 |
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1.1 |
1.891 |
3.882 |
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1.2 |
1.932 |
4.064 |
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1.3 |
1.964 |
4.227 |
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1.4 |
1.985 |
4.371 |
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1.5 |
1.997 |
4.495 |
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1.6 |
2.000 |
4.599 |
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1.7 |
1.992 |
4.683 |
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1.8 |
1.974 |
4.748 |
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1.9 |
1.946 |
4.793 |
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2.0 |
1.909 |
4.819 |
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2.1 |
1.863 |
4.826 |
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2.2 |
1.808 |
4.817 |
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2.3 |
1.746 |
4.791 |
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2.4 |
1.675 |
4.751 |
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2.5 |
1.598 |
4.697 |
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2.6 |
1.516 |
4.631 |
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2.7 |
1.427 |
4.555 |
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2.8 |
1.335 |
4.470 |
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2.9 |
1.239 |
4.378 |
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3.0 |
1.141 |
4.282 |
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3.1 |
1.042 |
4.183 |
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3.2 |
0.942 |
4.083 |
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3.3 |
0.842 |
3.985 |
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3.4 |
0.744 |
3.889 |
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3.5 |
0.649 |
3.798 |
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3.6 |
0.557 |
3.715 |
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3.7 |
0.470 |
3.640 |
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3.8 |
0.388 |
3.576 |
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3.9 |
0.312 |
3.524 |
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4.0 |
0.243 |
3.486 |
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4.1 |
0.182 |
3.463 |
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4.2 |
0.128 |
3.457 |
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4.3 |
0.084 |
3.468 |
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4.4 |
0.048 |
3.497 |
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4.5 |
0.022 |
3.545 |
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4.6 |
0.006 |
3.613 |
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4.7 |
0.000 |
3.700 |
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4.8 |
0.004 |
3.808 |
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4.9 |
0.018 |
3.935 |
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5.0 |
0.041 |
4.082 |
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5.1 |
0.074 |
4.248 |
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5.2 |
0.117 |
4.433 |
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5.3 |
0.168 |
4.635 |
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5.4 |
0.227 |
4.854 |
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5.5 |
0.294 |
5.089 |
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5.6 |
0.369 |
5.337 |
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5.7 |
0.449 |
5.599 |
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5.8 |
0.535 |
5.871 |
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5.9 |
0.626 |
6.152 |
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6.0 |
0.721 |
6.441 |
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6.1 |
0.818 |
6.736 |
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6.2 |
0.917 |
7.034 |
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6.3 |
1.017 |
7.334 |
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6.4 |
1.117 |
7.633 |
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6.2832 |
1.000 |
7.283 |
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