Skip to content
  • Categories
  • Recent
  • Tags
  • Popular
  • World
  • Users
  • Groups
Skins
  • Light
  • Cerulean
  • Cosmo
  • Flatly
  • Journal
  • Litera
  • Lumen
  • Lux
  • Materia
  • Minty
  • Morph
  • Pulse
  • Sandstone
  • Simplex
  • Sketchy
  • Spacelab
  • United
  • Yeti
  • Zephyr
  • Dark
  • Cyborg
  • Darkly
  • Quartz
  • Slate
  • Solar
  • Superhero
  • Vapor

  • Default (No Skin)
  • No Skin
Collapse
Code Project
  1. Home
  2. The Lounge
  3. 1 = 0

1 = 0

Scheduled Pinned Locked Moved The Lounge
comdesign
68 Posts 38 Posters 5 Views 1 Watching
  • Oldest to Newest
  • Newest to Oldest
  • Most Votes
Reply
  • Reply as topic
Log in to reply
This topic has been deleted. Only users with topic management privileges can see it.
  • 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

    R Offline
    R Offline
    Rage
    wrote on last edited by
    #13

    Dominic Burford wrote:

    since we started with y nonzero.

    oh, the irony.

    Do not escape reality : improve reality !

    1 Reply Last reply
    0
    • 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%

      Rules for the FOSW ![^]

      if(this.signature != "")
      {
      MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
      }
      else
      {
      MessageBox.Show("404-Signature not found");
      }

      N Offline
      N Offline
      Nagy Vilmos
      wrote on last edited by
      #14

      if the numerator and denominator are equal then the value must be 1. Then the second part is almost right, but you missed a very important point, a recurring value is only an *approximation* rather than the absolute. 1/3 is absolute, but the decimal 0.3. is only an approximation. Proof, without bad maths of the 9's reccuring - 0.9. == 1 Multiply by 10: 9.9. = 10 Subtract the original: 9.9. - 0.9. = 9 9 = 9 QED. This is accepted as proper maths, the 1=0 using division by zero is, however, not.

      veni bibi saltavi

      H 1 Reply Last reply
      0
      • N Nagy Vilmos

        if the numerator and denominator are equal then the value must be 1. Then the second part is almost right, but you missed a very important point, a recurring value is only an *approximation* rather than the absolute. 1/3 is absolute, but the decimal 0.3. is only an approximation. Proof, without bad maths of the 9's reccuring - 0.9. == 1 Multiply by 10: 9.9. = 10 Subtract the original: 9.9. - 0.9. = 9 9 = 9 QED. This is accepted as proper maths, the 1=0 using division by zero is, however, not.

        veni bibi saltavi

        H Offline
        H Offline
        HobbyProggy
        wrote on last edited by
        #15

        Nice :) But i guess as long as we have an approximation i'll go with its not exactly 1 :P

        Nagy Vilmos wrote:

        This is accepted as proper maths, the 1=0 using division by zero is, however, not.

        I already said that in an other statement that hes wrong

        Rules for the FOSW ![^]

        if(this.signature != "")
        {
        MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
        }
        else
        {
        MessageBox.Show("404-Signature not found");
        }

        1 Reply Last reply
        0
        • H HobbyProggy

          Whats the matter ?

          Rules for the FOSW ![^]

          if(this.signature != "")
          {
          MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
          }
          else
          {
          MessageBox.Show("404-Signature not found");
          }

          C Offline
          C Offline
          CPallini
          wrote on last edited by
          #16

          0.9999... is 1.

          H 1 Reply Last reply
          0
          • C CPallini

            0.9999... is 1.

            H Offline
            H Offline
            HobbyProggy
            wrote on last edited by
            #17

            By definition, not by maths :)

            Rules for the FOSW ![^]

            if(this.signature != "")
            {
            MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
            }
            else
            {
            MessageBox.Show("404-Signature not found");
            }

            C 1 Reply Last reply
            0
            • 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

              M Offline
              M Offline
              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!

              C 1 Reply Last reply
              0
              • H HobbyProggy

                By definition, not by maths :)

                Rules for the FOSW ![^]

                if(this.signature != "")
                {
                MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                }
                else
                {
                MessageBox.Show("404-Signature not found");
                }

                C Offline
                C Offline
                CPallini
                wrote on last edited by
                #19

                By maths. There's no difference.

                H 1 Reply Last reply
                0
                • C CPallini

                  By maths. There's no difference.

                  H Offline
                  H Offline
                  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 ;)

                  Rules for the FOSW ![^]

                  if(this.signature != "")
                  {
                  MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                  }
                  else
                  {
                  MessageBox.Show("404-Signature not found");
                  }

                  C Y 2 Replies Last reply
                  0
                  • H HobbyProggy

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

                    Rules for the FOSW ![^]

                    if(this.signature != "")
                    {
                    MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                    }
                    else
                    {
                    MessageBox.Show("404-Signature not found");
                    }

                    C Offline
                    C Offline
                    CPallini
                    wrote on last edited by
                    #21

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

                    H N 2 Replies Last reply
                    0
                    • C CPallini

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

                      H Offline
                      H Offline
                      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

                      Rules for the FOSW ![^]

                      if(this.signature != "")
                      {
                      MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                      }
                      else
                      {
                      MessageBox.Show("404-Signature not found");
                      }

                      C Richard DeemingR 2 Replies Last reply
                      0
                      • 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 ![^]

                        if(this.signature != "")
                        {
                        MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                        }
                        else
                        {
                        MessageBox.Show("404-Signature not found");
                        }

                        C Offline
                        C Offline
                        CPallini
                        wrote on last edited by
                        #23

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

                        1 Reply Last reply
                        0
                        • 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 ![^]

                          if(this.signature != "")
                          {
                          MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                          }
                          else
                          {
                          MessageBox.Show("404-Signature not found");
                          }

                          Richard DeemingR Offline
                          Richard DeemingR Offline
                          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

                          H K 3 Replies Last reply
                          0
                          • 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
                            H Offline
                            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

                            !

                            Rules for the FOSW ![^]

                            if(this.signature != "")
                            {
                            MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                            }
                            else
                            {
                            MessageBox.Show("404-Signature not found");
                            }

                            1 Reply Last reply
                            0
                            • 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
                              H Offline
                              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 ![^]

                              if(this.signature != "")
                              {
                              MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                              }
                              else
                              {
                              MessageBox.Show("404-Signature not found");
                              }

                              Richard DeemingR 1 Reply Last reply
                              0
                              • 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

                                ?

                                Rules for the FOSW ![^]

                                if(this.signature != "")
                                {
                                MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                                }
                                else
                                {
                                MessageBox.Show("404-Signature not found");
                                }

                                Richard DeemingR Offline
                                Richard DeemingR Offline
                                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

                                H 1 Reply Last reply
                                0
                                • 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

                                  H Offline
                                  H Offline
                                  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 :)

                                  Rules for the FOSW ![^]

                                  if(this.signature != "")
                                  {
                                  MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                                  }
                                  else
                                  {
                                  MessageBox.Show("404-Signature not found");
                                  }

                                  Richard DeemingR N 2 Replies Last reply
                                  0
                                  • 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 ![^]

                                    if(this.signature != "")
                                    {
                                    MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                                    }
                                    else
                                    {
                                    MessageBox.Show("404-Signature not found");
                                    }

                                    Richard DeemingR Offline
                                    Richard DeemingR Offline
                                    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

                                    H 1 Reply Last reply
                                    0
                                    • 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

                                      H Offline
                                      H Offline
                                      HobbyProggy
                                      wrote on last edited by
                                      #30

                                      STACK OVERFLOW :-O nvm

                                      Rules for the FOSW ![^]

                                      if(this.signature != "")
                                      {
                                      MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                                      }
                                      else
                                      {
                                      MessageBox.Show("404-Signature not found");
                                      }

                                      1 Reply Last reply
                                      0
                                      • C CPallini

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

                                        N Offline
                                        N Offline
                                        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.

                                        1 Reply Last reply
                                        0
                                        • 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 ![^]

                                          if(this.signature != "")
                                          {
                                          MessageBox.Show("This is my signature: " + Environment.NewLine + signature);
                                          }
                                          else
                                          {
                                          MessageBox.Show("404-Signature not found");
                                          }

                                          N Offline
                                          N Offline
                                          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.

                                          1 Reply Last reply
                                          0
                                          Reply
                                          • Reply as topic
                                          Log in to reply
                                          • Oldest to Newest
                                          • Newest to Oldest
                                          • Most Votes


                                          • Login

                                          • Don't have an account? Register

                                          • Login or register to search.
                                          • First post
                                            Last post
                                          0
                                          • Categories
                                          • Recent
                                          • Tags
                                          • Popular
                                          • World
                                          • Users
                                          • Groups