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1 = 0

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  • C CPallini

    0.9999... is 1.

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    HobbyProggy
    wrote on last edited by
    #17

    By definition, not by maths :)

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    • D Dominic Burford

      x = y. Then x2 = xy. Subtract the same thing from both sides: x2 - y2 = xy - y2. Dividing by (x-y), obtain x + y = y. Since x = y, we see that 2 y = y. Thus 2 = 1, since we started with y nonzero. Subtracting 1 from both sides, 1 = 0. :wtf:

      "There are two ways of constructing a software design: One way is to make it so simple that there are obviously no deficiencies, and the other way is to make it so complicated that there are no obvious deficiencies. The first method is far more difficult." - C.A.R. Hoare Home | LinkedIn | Google+ | Twitter

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      Marc Clifton
      wrote on last edited by
      #18

      Ah, the ol' divide by zero trick. I think my math teacher did that when I was in 8th grade. Almost 40 years ago. And I'm sure it's older than that. ;) Marc

      Imperative to Functional Programming Succinctly Contributors Wanted for Higher Order Programming Project!

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      • H HobbyProggy

        By definition, not by maths :)

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        CPallini
        wrote on last edited by
        #19

        By maths. There's no difference.

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        • C CPallini

          By maths. There's no difference.

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          HobbyProggy
          wrote on last edited by
          #20

          Allright, tell that the next flightcomputer that breakes down because he multiplied 0,333 and didn't get to 1 ;)

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          • H HobbyProggy

            Allright, tell that the next flightcomputer that breakes down because he multiplied 0,333 and didn't get to 1 ;)

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            CPallini
            wrote on last edited by
            #21

            You know, float are not real numbers. (likewise Computer Science is not Mathematics) :-D

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            • C CPallini

              You know, float are not real numbers. (likewise Computer Science is not Mathematics) :-D

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              HobbyProggy
              wrote on last edited by
              #22

              CPallini wrote:

              (likewise Computer Science is not Mathematics)

              But its both logic :) And 0,999 is not 1 it's even written different :sigh: But i guess we could debate ages about that

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              C Richard DeemingR 2 Replies Last reply
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              • H HobbyProggy

                CPallini wrote:

                (likewise Computer Science is not Mathematics)

                But its both logic :) And 0,999 is not 1 it's even written different :sigh: But i guess we could debate ages about that

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                CPallini
                wrote on last edited by
                #23

                Right: we could follow all the nines until we find a difference. :laugh:

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                • H HobbyProggy

                  CPallini wrote:

                  (likewise Computer Science is not Mathematics)

                  But its both logic :) And 0,999 is not 1 it's even written different :sigh: But i guess we could debate ages about that

                  Rules for the FOSW ![^]

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                  Richard DeemingR Offline
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                  Richard Deeming
                  wrote on last edited by
                  #24

                  Take your pick: How Can 0.999... = 1? | Purplemath[^] For example:

                    x = 0.999...
                  

                  10x = 9.999...
                  10x - x = 9.000...
                  9x = 9
                  x = 1

                  EDIT: As Nagy said[^], 2+ hours ago.


                  "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                  "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

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                  • Richard DeemingR Richard Deeming

                    Take your pick: How Can 0.999... = 1? | Purplemath[^] For example:

                      x = 0.999...
                    

                    10x = 9.999...
                    10x - x = 9.000...
                    9x = 9
                    x = 1

                    EDIT: As Nagy said[^], 2+ hours ago.


                    "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

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                    HobbyProggy
                    wrote on last edited by
                    #25

                    1/6 ->*6 0,966666666

                    x = 0,9666
                    10x = 9,6666
                    10x -x = 8,7066
                    9x = 8,7066
                    x = 0,9674

                    !

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                    • Richard DeemingR Richard Deeming

                      Take your pick: How Can 0.999... = 1? | Purplemath[^] For example:

                        x = 0.999...
                      

                      10x = 9.999...
                      10x - x = 9.000...
                      9x = 9
                      x = 1

                      EDIT: As Nagy said[^], 2+ hours ago.


                      "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                      H Offline
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                      HobbyProggy
                      wrote on last edited by
                      #26

                      1/6 = 0,166666 ->*6 0,9996

                      x = 0,9996
                      10x = 9,996
                      10x -x = 8,9964
                      9x = 8,9964
                      x = 0,9996

                      ?

                      Rules for the FOSW ![^]

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                      • H HobbyProggy

                        1/6 = 0,166666 ->*6 0,9996

                        x = 0,9996
                        10x = 9,996
                        10x -x = 8,9964
                        9x = 8,9964
                        x = 0,9996

                        ?

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                        Richard DeemingR Offline
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                        Richard Deeming
                        wrote on last edited by
                        #27

                        HobbyProggy wrote:

                        1/6 = 0,166666 ->*6 0,9996

                        Nope - 6 × 0.1666... = 0.9999... It's simple multiplication:

                        1 x 6 = 6 (0.6)
                        6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.96)
                        6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.996)
                        6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.9996)
                        6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.99996)
                        etc.

                        Because you're repeating the operation an infinite number of times, there's no point where you stop and leave the last digit as 6. There's always another digit to the right which needs to be multiplied by 6, carrying the 3 into the current column.


                        "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                        "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

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                        • Richard DeemingR Richard Deeming

                          HobbyProggy wrote:

                          1/6 = 0,166666 ->*6 0,9996

                          Nope - 6 × 0.1666... = 0.9999... It's simple multiplication:

                          1 x 6 = 6 (0.6)
                          6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.96)
                          6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.996)
                          6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.9996)
                          6 x 6 = 36 = add 3 to the column on the left (6 + 3 = 9), and put 6 in this column (0.99996)
                          etc.

                          Because you're repeating the operation an infinite number of times, there's no point where you stop and leave the last digit as 6. There's always another digit to the right which needs to be multiplied by 6, carrying the 3 into the current column.


                          "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

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                          HobbyProggy
                          wrote on last edited by
                          #28

                          So this works only for 0.999999 ? Because the 6 at the end is in this case important to show that it wont be a 1 in the end :) But nevermind, this is all just playing with numbers :)

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                          • H HobbyProggy

                            So this works only for 0.999999 ? Because the 6 at the end is in this case important to show that it wont be a 1 in the end :) But nevermind, this is all just playing with numbers :)

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                            Richard Deeming
                            wrote on last edited by
                            #29

                            HobbyProggy wrote:

                            Because the 6 at the end is ...

                            But there isn't a 6 at the "end", because there isn't an "end"! :laugh: Think of it like this:

                            using System;

                            static class Program
                            {
                            static void Main()
                            {
                            while (true)
                            {
                            Console.WriteLine("9");
                            }

                                Console.WriteLine("Squirrel!");
                            }
                            

                            }

                            If you run that program, how long will you have to wait before it prints "Squirrel"?


                            "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                            "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

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                            • Richard DeemingR Richard Deeming

                              HobbyProggy wrote:

                              Because the 6 at the end is ...

                              But there isn't a 6 at the "end", because there isn't an "end"! :laugh: Think of it like this:

                              using System;

                              static class Program
                              {
                              static void Main()
                              {
                              while (true)
                              {
                              Console.WriteLine("9");
                              }

                                  Console.WriteLine("Squirrel!");
                              }
                              

                              }

                              If you run that program, how long will you have to wait before it prints "Squirrel"?


                              "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

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                              HobbyProggy
                              wrote on last edited by
                              #30

                              STACK OVERFLOW :-O nvm

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                              • C CPallini

                                You know, float are not real numbers. (likewise Computer Science is not Mathematics) :-D

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                                Nelek
                                wrote on last edited by
                                #31

                                Do you mean they are imaginary? :doh: :doh: :doh: This is getting more and more difficult by moments. I think I am grabbing a bier, maybe seeing it double makes it easier :rolleyes: ;P :laugh: :laugh: I'll get my coat

                                M.D.V. ;) If something has a solution... Why do we have to worry about?. If it has no solution... For what reason do we have to worry about? Help me to understand what I'm saying, and I'll explain it better to you Rating helpful answers is nice, but saying thanks can be even nicer.

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                                • H HobbyProggy

                                  So this works only for 0.999999 ? Because the 6 at the end is in this case important to show that it wont be a 1 in the end :) But nevermind, this is all just playing with numbers :)

                                  Rules for the FOSW ![^]

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                                  Nelek
                                  wrote on last edited by
                                  #32

                                  mmm working by 9, not working by 6 what about 69? does it works? Oh, wait... I think I stop now since I am about to break the KSS rule :laugh: :laugh: I am still on the way getting my coat

                                  M.D.V. ;) If something has a solution... Why do we have to worry about?. If it has no solution... For what reason do we have to worry about? Help me to understand what I'm saying, and I'll explain it better to you Rating helpful answers is nice, but saying thanks can be even nicer.

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                                  • M Marc Clifton

                                    Ah, the ol' divide by zero trick. I think my math teacher did that when I was in 8th grade. Almost 40 years ago. And I'm sure it's older than that. ;) Marc

                                    Imperative to Functional Programming Succinctly Contributors Wanted for Higher Order Programming Project!

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                                    Corporal Agarn
                                    wrote on last edited by
                                    #33

                                    Since I remember it from math about that time it has to be old. :-D How can I remember this but cannot find my car keys?

                                    Mongo: Mongo only pawn... in game of life.

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                                    • H HobbyProggy

                                      Dominic Burford wrote:

                                      x2 - y2 = xy - y2. Dividing by (x-y), obtain x + y = y.

                                      Wrong... aint it? x2 -y2 / (x-y) => x+y xy -y2 / (x-y) => y+y xy / x-y => 1*1/1-1 => (actually how could you divide this when there is a minus...) y2 / x-y => y/x-1 => (actually how could you devide this when there is a minus...) But i guess thats bullshit 2 because it "should"? be x2/x-y - y2/x-y which ruins everything :) Okay screw everything... you are wrong, thats all i can say :)

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                                      kiLLe_512
                                      wrote on last edited by
                                      #34

                                      if(!string.IsNullOrEmpty(this.signature)) ftfy

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                                      • Richard DeemingR Richard Deeming

                                        Take your pick: How Can 0.999... = 1? | Purplemath[^] For example:

                                          x = 0.999...
                                        

                                        10x = 9.999...
                                        10x - x = 9.000...
                                        9x = 9
                                        x = 1

                                        EDIT: As Nagy said[^], 2+ hours ago.


                                        "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

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                                        kiLLe_512
                                        wrote on last edited by
                                        #35

                                        That's bloody brilliant!

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                                        • H HobbyProggy

                                          The only thing i can agree with is that 1 != 3/3 (at least not exactly) because 1/3 is 0,333... and multiplied with 3 it is just 0,99999.... which is technically 1 but not 100%

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                                          Florgenator
                                          wrote on last edited by
                                          #36

                                          Actually, yes 0.9999..... is in fact 1: x = 0.99999.... 10 x = 9.999999.... multiply by 10 10 x = 9 + 0.99999.... split right side into arithmetic expression 10 x = 9 + x replace 0.9999.... with "x" 9 x = 9 subtract "x" from both sides x = 1 divide by 9. without dividing by "0"

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