Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #4 20121013 22:40:04
Re: Show that (413)^(1/3)>6+3^(1/3)Hi Bobbym, 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #5 20121013 22:48:13
Re: Show that (413)^(1/3)>6+3^(1/3)Hi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #6 20121014 01:22:40
Re: Show that (413)^(1/3)>6+3^(1/3)Hi bobbym The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #7 20121014 01:29:10
Re: Show that (413)^(1/3)>6+3^(1/3)Hi anonimnystefy; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #8 20121015 04:15:30
Re: Show that (413)^(1/3)>6+3^(1/3)Hm... I really cannot solve it, I have a vague memory of how I solved it last time but now I don't have a good clue of how... #9 20121015 22:55:57
Re: Show that (413)^(1/3)>6+3^(1/3)I have a very weird solution; you probably won't like it but I'll have a go anyway. Let . Then because . Let . We find (just). It follows that since the quadratic function is strictly increasing for positive x. The LHS is and so we are done. 