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

You are not logged in. #26 20130416 08:01:27
Re: Julianthemath's number 3Yikes! What question are you asking? You can not expect a closed form for that recurrence. 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. #27 20130416 08:09:37
Re: Julianthemath's number 3Hm, maybe we can watch how the binary representation changes? 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 #28 20130416 08:13:04
Re: Julianthemath's number 3I am not following you. The binary representation of the output sequence? 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. #29 20130416 08:14:10
Re: Julianthemath's number 3Yes. a_n's in binary. 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 #30 20130416 08:15:57
Re: Julianthemath's number 3Do you have access to m? 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. #31 20130416 08:18:17
Re: Julianthemath's number 3I did 30 minutes ago. Now I do not. 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 #32 20130416 08:19:20
Re: Julianthemath's number 3Okay, give me some time to enter the recurrence and compute some numbers. 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. #33 20130416 08:20:21
Re: Julianthemath's number 3Is there an M command for binary to decimal and decimal to binary conversion? 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 #34 20130416 08:29:32
Re: Julianthemath's number 3What are the initial conditions for the difference equation? 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. #35 20130416 09:16:58
Re: Julianthemath's number 3a_1=1. 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 #36 20130416 09:19:12
Re: Julianthemath's number 3The recurrence is not working. 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. #37 20130416 09:21:18
Re: Julianthemath's number 3What do you mean? 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 #38 20130416 09:28:04
Re: Julianthemath's number 3I have probably misunderstood something so let me check each part. In post #25, does that replace the Xor as well as the binary representation ? 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. #39 20130416 09:34:38
Re: Julianthemath's number 3It does not replace the xor. Just the binary stuff. 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 #40 20130416 09:40:18
Re: Julianthemath's number 3So this expression is xored with a[n1]? 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. #41 20130416 09:41:12
#42 20130416 09:43:56
Re: Julianthemath's number 3
You haven't copied it correctly. 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 #43 20130416 09:51:03
Re: Julianthemath's number 3Yes, I have it working now. 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. #44 20130416 10:39:54
Re: Julianthemath's number 3Great! What now? 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 #45 20130416 11:59:08
Re: Julianthemath's number 3Here is the first 20 or so: 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. #46 20130416 16:52:57
Re: Julianthemath's number 3So, there is a pattern, alright! 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 #47 20130416 18:45:05
#48 20130416 19:20:43
Re: Julianthemath's number 3
Everything that glitters is not gold. 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. #49 20130416 19:55:56
Re: Julianthemath's number 3That is true. I do not know how to get a general form from those. 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 #50 20130416 19:59:22
Re: Julianthemath's number 3That was the second thing I did. In chained notation: M = Newton > Euler > Fermat 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. 