Recent content by Rogerio

  1. R

    Moviegoers' Club: Largest Number of Common Favorite Movies

    Hi Mathal, I don't know, either. :smile: But I would like to point out that "the largest necessary" is equivalent to "the smallest enough". Maybe someone doesn't understand this.
  2. R

    Moviegoers' Club: Largest Number of Common Favorite Movies

    Saying it is obvius is not a proof. Prove it. :smile:
  3. R

    Moviegoers' Club: Largest Number of Common Favorite Movies

    If 23 have voted, then 1 has voted. So 1 is the smallest number. And this is not "advanced math" - it should be found in an introductory logic text.
  4. R

    Moviegoers' Club: Largest Number of Common Favorite Movies

    That's right, the way puzzles are worded matters a lot! And it seems you have correctly understood my puzzle. However, the answer to your version (which has nothing to do with the original idea) is "ONE" . If, for instance, 23 members had voted for a movie, then there would be one member who...
  5. R

    Moviegoers' Club: Largest Number of Common Favorite Movies

    Hi Mathal, there is at least a movie that received more than 12 votes, necessarily. So, 12 is not the answer.
  6. R

    Need a real life example that satisfies the property?

    John = {head,body,arms,legs} class_01 = {Mary, Lucy, John} John is a student, and class_01 is a set of students. Is the head of John a student? Is the head of John a student of class_01? The head of John is not an element of the class_01.
  7. R

    Moviegoers' Club: Largest Number of Common Favorite Movies

    Each one of the 23 members of a moviegoers' club has selected his two favorite movies from a 50 movies list. It is noted that any two members have at least one favorite movie in common. What is the largest number of members that have necessarily selected a same movie? Prove that.
  8. R

    Difficult riddle about impatient people

    An easy way to understand the answer...
  9. R

    Difficult riddle about impatient people

    Supposing nobody will arrive before 3pm or after 4pm... :smile:
  10. R

    Form 8 Digit Number with 7s, 6s & 0s

    What about a big number-factorial_of_a_number ? :smile:
  11. R

    Form 8 Digit Number with 7s, 6s & 0s

    Count again... :smile:
  12. R

    Analysis of Image superimposing using numerical analysis

    Hi Saugata Bose! A digital image (acquired with a digital camera or a scanner, for example) is just a file which describes all the pixels (picture elements) of the image. The "format" of such files is the way the pixels are described. Commonly there is a "file header" based on: the size of...
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    Analysis of Image superimposing using numerical analysis

    You could compare the average luminances (and their standard deviations) of the two images, for example. Or the chrominances, if you prefer... :smile: http://en.wikipedia.org/wiki/RGB_color_model http://en.wikipedia.org/wiki/HSL_and_HSV
  14. R

    Can Chuck Norris solve any math problem with violence?

    Once, while visiting Fermat, Chuck Norris showed him a wonderful math proof on Numbers Theory, occupying about half page. He took back the paper when left.
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