Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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You are not logged in. #2 2011-01-14 16:09:15
Re: Proof without words - 2this is not proof, though. can you prove it in general? #3 2011-01-14 17:55:58
Re: Proof without words - 2Hi nguyen In mathematics, you don't understand things. You just get used to them. Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means. 90% of mathematicians do not understand 90% of currently published mathematics. #4 2011-01-15 15:32:48
Re: Proof without words - 2You must be careful, but many proofs can be made by pictures alone. You must use caution because picture proofs can charm your intuition which can be easily fooled and furthermore, it is easy to ignore important conditions to your theorems! |