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

You are not logged in. #1 20130708 08:34:05
VerificationHi, could you verify if my answer is correct ? I DON'T WANT THE ANSWER, I just want my work to be verified:
My answer(It may be long) : 2This limits us to 3 principal number in our sequence of numbers, which will help us build 1000. 8: He is composed of only one digit 8. 88: He is composed of 11 digit 8. 888: He is composed of 111 digit 8. 3Now, there exists different ways to build the number 1000(Depending of the composition of your sequence of numbers.) 4If your sequence of numbers is composed of the number 888(Which can only go one time in your sequence.), this results in this : a) 125111=14 numbers "8" left. You could now continue your sequence by 88 because: 1411=3 numbers "8" left. Then, finish off your sequence by 3 digits "8", because : 33=0 digits "8" left. b) Or, you could have had 888 in your sequence, which would give : 125111=14 chiffres '8' left. And then, complete the sequence by 14 digits 8. 1414=0 digits "8" left. 5)If your sequence contains one or many times the number 88, it should give : a) Maximum of 88 composed in the number 1000: 11 times 11*88=968 digits "8" in total 125121=4 digits '8'* left To obtain 1000, we must add 4 times the digit 8 44=0 digits "8" left. We can then conclude that there exists 11 ways possible to have 1000 with a sequence of numbers which contains at maximum 11 times the number 88 and at minimum 1 time the number 88. Each time you will remove a "88" in your sequence, it will be needed to be replaced by 11 times the digit 8 so we can keep the answer equalling 1000. Ex: 88+88+88+88+88+88+88+88+88+88+88+8+8+8+8=1000 Now, we will remove a "88" 88+88+88+88+88+88+88+88+88+88+8+8+8+8+8+8+8+8+8+8+8+8+8+8=8=1000 6 Finally, the last way of obtaining 1000 consists to write 125 times the number 8. 8+8+8+8...125 times In total, you will have 14 ways of having one thousand. Do you think I've figured out how it's done ? Or not ? No answers, just suggestions about what I wrote. Thank you! #2 20130708 10:18:11
Re: VerificationHi; 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. #3 20130708 10:47:32
Re: VerificationAh... But you read my text??? And what do you mean by your technique ? #4 20130708 10:55:32
Re: Verification
Correct!
Correct! Given that 0 ≤ a,b,c ∈ N Your answer is proved using generating functions. 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. #5 20130708 11:00:16
Re: VerificationAh, I don't know about that equation. (I'm still learning) Last edited by AlAllo (20130708 11:01:22) #6 20130708 11:18:20
Re: VerificationVery interesting work, you did well. 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. #7 20130708 11:22:26
Re: VerificationI'm happy to hear these comments ! I'm even happier to know that a person like you exists to help me in needs ! #8 20130708 11:28:21
Re: VerificationI am glad to help but I really only exist to eat and watch Cameron Diaz movies. 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. #9 20130708 11:33:45
Re: VerificationWell, I guess each person will give a different meaning to his existence :p #10 20130708 22:30:57
Re: VerificationHi; 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. #11 20130724 02:54:39
Re: Verification
correct!!!! '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 