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| Hey Bunny. Want to hear a joke? | |
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| Sure. | |
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| A pure and an applied mathematician are asked to calculate 2 * 2. The applied mathematician's solution: We have 2 * 2 = 2 *1/(1-1/2). The second factor on the right hand side has a geometric series expansion 1/(1-1/2) = 1 + 1/2 +1/4 + 1/8 + .... Cutting off the series after the second term yields the approximate solution 2 * 2 = 2 *(1 +1/2) = 3. The pure mathematician's solution: We have 2 * 2 = (-2) *1/(1-3/2). The second factor on the right hand side has a geometric series expansion 1/(1-3/2) = 1 + 3/2 +9/4 + 27/8 + ..., which diverges. Hence, the solution to 2 * 2 does not exist. | |
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| You are so dumb, | |
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| How can you not possibly know that 2 time 2 equals 4 | |
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