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

You are not logged in. #26 20121222 19:30:37
Re: Creating Functions?I know that I'm capable, it's just that I'm 24 almost 25, and I haven't taken any math since I was 16 and even then in High School I never applied myself. It's a shame really, because now I'm in college and I'm taking college Algebra, which is almost sad really. I just feel like I'm really far behind, and I'm really not sure how to go about catching up quickly. #27 20121222 19:55:07
Re: Creating Functions?Okay, we will talk about that later. 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. #28 20121222 20:13:34
Re: Creating Functions?Now that's interesting, when I was trying to work out a formula that didn't involve a recurrence, I actually worked out these first two patterns and were trying to figure a way to use them both, but ultimately couldn't. Last edited by therussequilibrium (20121222 20:15:03) #29 20121222 20:15:53
Re: Creating Functions?hi therussequilibrium Substitute C = 0 and F = 32 gives Your empirical formula was very close so you did well! Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #30 20121222 20:21:56
Re: Creating Functions?Hi Bob; 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 20121222 20:25:10
Re: Creating Functions?hi bobbym, You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #32 20121222 20:27:35
Re: Creating Functions?I actually do this with patterns already, naturally, I just had no idea how to apply those patterns, or if they could even really be applied to do anything. #33 20121222 20:36:33
Re: Creating Functions?Hi Bob; 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. #34 20121222 20:47:45
Re: Creating Functions?I'm not sure I know what you mean in your last post. #35 20121222 20:51:04
Re: Creating Functions?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. #36 20121222 20:53:15
Re: Creating Functions?No, I haven't learned of Combinations yet. /sigh so much to learn lol #37 20121222 20:57:38
Re: Creating Functions?Okay, we do not need them. They just simplify the notation. Do you understand the difference table? 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. #38 20121222 21:01:31
Re: Creating Functions?Yes, I completely understand the table. #39 20121222 21:08:37
Re: Creating Functions?Let's work on that for a second. When you had 0 squares how many squares did you count? 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 20121222 21:12:23
Re: Creating Functions?Very good so your sequence really looks like this 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. #42 20121222 21:15:27
Re: Creating Functions?Correct, and the second sequence really starts at 1 and not at 4, etc. #43 20121222 21:20:34
Re: Creating Functions?Yes, the difference table now looks like this. Take the first number in every row and say a = 0; b = 1 c = 3 d = 2 the rest are zero. Take those and plug into this formula. 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 20121222 21:36:45
Re: Creating Functions?Not sure how to type out a fraction on the forum, but I think this is the answer: #45 20121222 21:42:42
Re: Creating Functions?Hi; I dropped the ellipses on the end which are just there to show that there might be more terms. When you substitute a = 0, b = 1, c = 3, d = 2 into that you get, you can leave it like that and say or you can simplify it, That is what we got by the other methods. So this method solves your recurrence by just making a table and plugging into a formula. 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 20121222 21:47:19
Re: Creating Functions?hmm, that's exactly the equation I entered and that's the answer it gave me; and I'm not sure how to simplify a problem with radicals in it, on my own. #47 20121222 21:52:58
Re: Creating Functions?I am sorry, that is a factorial. 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. #48 20121222 22:08:18
Re: Creating Functions?Well, I can't figure out how to simplify this problem. But question, where does this equation that we are using come from? #49 20121222 22:12:18
Re: Creating Functions?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. #50 20121222 22:18:23
Re: Creating Functions?Yeah, I'm trying by hand, I'll get it eventually. You've given me enough help, but thank you. I do appreciate you taking your time to walk through this with me. 