k-man

Members
  • Content count

    537
  • Joined

  • Last visited


Community Reputation

24

About k-man

  • Rank
    Senior Member

core_pfieldgroups_2

  • Gender Male

k-man's Activity

  1. k-man added a post in a topic Cylinders   

    Welcome back, araver!
     

    • 0
  2. k-man added a post in a topic Cosmetic Surgery and the Worm   

     
    Looks like you're right, BMAD. I haven't taken my 9-long worm example far enough to see that the adversary cannot continue to maintain that pattern indefinitely as long as surgeon does the right thing.
     

    • 0
  3. k-man added a post in a topic Cosmetic Surgery and the Worm   

    Nice puzzle and title, BMAD.
     

    • 0
  4. k-man added a post in a topic Changing times   

     
    - Would you have change for half-cent?
    - Sure! How would you like it? Is all in hundred dollar bills ok?
     

    • 0
  5. k-man added a post in a topic Changing times   

    Considering that there is a $1 coin, the maximum is limited only by the availability of the $1 coins. Without using $1 coins, I don't see how you can have more than 99.
    • 0
  6. k-man added a post in a topic Changing times   

  7. k-man added a post in a topic A triangle defined by cevians   

    another proof
     
     

     
     
    1) draw 3 additional lines parallel to each cevian passing through the remaining vertices of 2 triangles.
    2) show that 6 other shaded triangles are mirror images of the green triangle and therefore have the same area
    3) show that every part of a shaded triangle that lies outside of the big triangle has an equal unshaded part inside the big triangle. Midpoints of big triangle's sides are points of symmetry.
    • 1
  8. k-man added a post in a topic Equilateral Triangle: Color and distance II   

    Ignore my previous post. I got my numbers mixed up.
     

    • 0
  9. k-man added a post in a topic Equilateral Triangle: Color and distance   

    I agree with gavinksong  
    • 0
  10. k-man added a post in a topic Airplane with or without wind   

    @bonanova: You're right that if the wind direction has both head/tail component and cross component relative to the trajectory then analyzing only one or the other will result in correct conclusion that wind adds to travel time. However, the only crucial fact that I was trying to show in my previous post was that there exist closed paths (i.e. straight line A->B and back) and wind directions (i.e. perpendicular to the path) for which ignoring the cross wind component will result in incorrect conclusion - same time with and without wind. In other words, in some cases, the entire time penalty is swept under the rug.
    • 0
  11. k-man added a post in a topic Airplane with or without wind   

     
    I think your simplified analysis still doesn't address the cross wind correctly. Let's say that the closed path is from point A to point B and back in a straight line. It will take longer with the constant cross wind than without any wind.
     

     

    • 0