Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
| |
|
|
You are not logged in. #1026 2012-06-28 23:21:26
Re: 0.9999....(recurring) = 1?
As I said before, scientists already know that the universe is finite, although still expanding. The number of particles is roughly around 10^80. Just because somewhere in the history of the universe its density was infinite doesn't mean that it has either infinite size or volume. 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 “A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón #1027 2012-06-29 01:04:33
Re: 0.9999....(recurring) = 1?Quote: "1 / 0 is not 1. It is undefined to divide by 0." #1028 2012-06-29 01:40:42
Re: 0.9999....(recurring) = 1?I am afraid that is not what 1 / 0 means. 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. #1029 2012-06-29 03:23:26#1030 2012-06-29 06:56:55
Re: 0.9999....(recurring) = 1?1/0 is not anything. It is undefined. You cannot split an apple into no pieces. 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 “A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón #1031 2012-06-29 07:37:13
Re: 0.9999....(recurring) = 1?Hi TESTU; 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. #1032 2012-06-29 22:19:39
Re: 0.9999....(recurring) = 1?Well! If you draw a curve of y=1/x, you would see that y would be infinite as x approaches 0 but it would never touch y-axis indicating infinite value of y. Same with the so called 0.99999..recurring, if you draw a curve of y=0.9999..recurring..you would see, even if x approaches infinity y will never intersect line y=1. I bet to differ with many people regarding infinity. For example, in mathematics, to make sure it is true not enough to prove it up to billions or trillions terms but should be all term even up to infinity. This is why mathematicians developed method of induction. When you prove x=0.9999..recurring=1, you simply multiply it with 10 and then minus the original one. Before we talk it to the infinity why not we talk it on a finite scale. Lets say n=decimals points, when you have like n=1 trillion decimals and multiplying 0.999..recurring(up to 1 trillion decimals after 0) with 10, you will get 9.99..recurring( 1 trillion minus 1 point of decimals after first digit 9). Then, by subtracting the ten fold of x with original x, you will get 9x=8.999..(recurring 9 and ends with digit 1). Solving the equation, you will never get x=1. Now, consider infinite recurring 9, when you multiple x with 10, you take infinity as an integer yet you contradict the basic fundamental of math dealing with numbers. When you multiple a number with 10, you simply shifted a decimal point forwards and leaving the trailing digit as zero. For example, when you have x=0.9999 and multiply by 10, you will get 10x=9.9990 because a decimal point had being shifted forwards yet in proving 0.9999..recurring=1 you simply abuse the basic mathematics as if x=0.9999 and multiply by 10=10x=9.9999 (The last digit should be zero and not 9). The same thing happens in the infinite series, if you want to take it as a number not as a concept then you have to obey the fundamental of mathematics operations. If you obey this fundamental you will get 10x-x=9x=8.9999999..(recurring) ends with 1. Thus x/=1. When people talk about infinite series, they simply abuse it. To them infinity-1 is equal to infinity even though it is one less. Yet they simply multiply infinite series with integer and do basic mathematical operation without considering it could be false. This is how Euler linked his prime numbers with Riemann's Zeta Function or how Ramanujan got 1+1+1....=-1/12 or 1-1+1-1+1...=-1/12 because people don't believe in even or odd infinity yet they believe infinite series could be multiplied by integers to suit their ideas. If they could abuse it, then why not I say, Riemman's Zeta function C(2)=4 not (pi^2)/6. The value of 1/0 could be defined on certain circumstances because the creation of this universe after the big bang tells us a different thing, at t=0, the volume of universe is zero with infinite density or density=mass/volume=>density=mass x 1/0 from this relationship we get the existence of this entire universe. Indicating that 1/0 is not undefined because it created something which we could see or perceive now as observable universe! Machines have simple lives, they only knows 1 and 0 and when they see 1/0, the simply say error:) Last edited by Stangerzv (2012-06-29 22:21:01) #1033 2012-06-29 23:14:48
Re: 0.9999....(recurring) = 1?Hi Stangerzv 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 “A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón #1034 2012-06-30 19:32:53
Re: 0.9999....(recurring) = 1?1/0 is No Different to 1-0 or 1x0 or 1+0 Nothing is being Calculated into the Start Value of 1 Last edited by TESTU (2012-06-30 20:22:28) #1035 2012-06-30 22:51:22
Re: 0.9999....(recurring) = 1?Math is like a language. Everyone agrees on certain rules. 1 / 0 has a specific meaning. You can not 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. #1036 2012-07-01 07:33:14
Re: 0.9999....(recurring) = 1?Nothing to do with What You Call Something!...It's Logic to Understand How Things/Math Works! #1037 2012-07-01 07:33:47
Re: 0.9999....(recurring) = 1?Like what for instance? 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. #1038 2012-07-01 07:36:52#1039 2012-07-01 07:38:41
Re: 0.9999....(recurring) = 1?You can not just define 1 / 0 anyway you like. Not if you expect to communicate 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. #1040 2012-07-01 07:40:12#1041 2012-07-01 07:40:44
Re: 0.9999....(recurring) = 1?Hi;
Oh, I get it. A Math Genius! Well, when he comes in have him sign up as a member. He can explain it to you better than I can. 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. #1042 2012-07-01 18:54:26#1043 2012-07-01 18:56:00
Re: 0.9999....(recurring) = 1?Learning what? 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. #1044 2012-07-01 19:05:49#1045 2012-07-01 19:07:39
Re: 0.9999....(recurring) = 1?Learning what? Can you be specific? 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. #1046 2012-07-01 19:08:58#1047 2012-07-01 19:17:59
Re: 0.9999....(recurring) = 1?That is what I thought you would say. 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. #1048 2012-07-02 15:23:38
Re: 0.9999....(recurring) = 1?Quote: "But .99999999... still equals 1" #1049 2012-07-02 18:50:47
Re: 0.9999....(recurring) = 1?Yes, the geometric sum. 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. #1050 2012-07-02 20:16:54
Re: 0.9999....(recurring) = 1?posts #999 and 1001. You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei |