full transcript

From the Ted Talk by Benoit Mandelbrot: Fractals and the art of roughness

Unscramble the Blue Letters

So what I did actually is to sduty this problem, and I found something quite ssrpiurnig. That one can mruesae roughness by a number, a number, 2.3, 1.2 and sometimes much more. One day, a friend of mine, to bug me, brought a pcriute and said, "What is the roughness of this curve?" I said, "Well, just short of 1.5." It was 1.48. Now, it didn't take me any time. I've been looking at these things for so long. So these numbers are the numbers which denote the roughness of these surfaces. I hasten to say that these surfaces are completely artificial. They were done on a computer, and the only input is a number, and that number is roughness. So on the left, I took the roughness copied from many landscapes. To the right, I took a higher renhuosgs. So the eye, after a while, can distinguish these two very well.

Open Cloze

So what I did actually is to _____ this problem, and I found something quite __________. That one can _______ roughness by a number, a number, 2.3, 1.2 and sometimes much more. One day, a friend of mine, to bug me, brought a _______ and said, "What is the roughness of this curve?" I said, "Well, just short of 1.5." It was 1.48. Now, it didn't take me any time. I've been looking at these things for so long. So these numbers are the numbers which denote the roughness of these surfaces. I hasten to say that these surfaces are completely artificial. They were done on a computer, and the only input is a number, and that number is roughness. So on the left, I took the roughness copied from many landscapes. To the right, I took a higher _________. So the eye, after a while, can distinguish these two very well.

Solution

  1. surprising
  2. roughness
  3. picture
  4. measure
  5. study

Original Text

So what I did actually is to study this problem, and I found something quite surprising. That one can measure roughness by a number, a number, 2.3, 1.2 and sometimes much more. One day, a friend of mine, to bug me, brought a picture and said, "What is the roughness of this curve?" I said, "Well, just short of 1.5." It was 1.48. Now, it didn't take me any time. I've been looking at these things for so long. So these numbers are the numbers which denote the roughness of these surfaces. I hasten to say that these surfaces are completely artificial. They were done on a computer, and the only input is a number, and that number is roughness. So on the left, I took the roughness copied from many landscapes. To the right, I took a higher roughness. So the eye, after a while, can distinguish these two very well.

Frequently Occurring Word Combinations

ngrams of length 2

collocation frequency
long time 4
man named 3
real price 3
simple rule 2
mathematics coming 2
price increments 2

ngrams of length 3

collocation frequency
real price increments 2

Important Words

  1. artificial
  2. brought
  3. bug
  4. completely
  5. computer
  6. copied
  7. curve
  8. day
  9. denote
  10. distinguish
  11. eye
  12. friend
  13. hasten
  14. higher
  15. input
  16. landscapes
  17. left
  18. long
  19. measure
  20. number
  21. numbers
  22. picture
  23. problem
  24. roughness
  25. short
  26. study
  27. surfaces
  28. surprising
  29. time