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пятая буква английского алфавита; - прописная, - строчная
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1. where we assume that
E
is not in
E
star.
2. And we know that S is actually a subset of
E
star.
3.
E
has exactly n minus 1 edges, because it's a tree.
4. The first case could be that
E
is actually already
5. always a subset of
E
, right?
6. So suppose this does not contain
e
.
7. The "d", "r", and the "w", they're consonants, and the "
e
" is a vowel.
8. contains both S and also
E
.
9. BV: ok, I looked away K-A-T-
E
-L-Y-N
10. that the empty set is a subset of
E
. Well, the empty set is
11. after removing
e
from T.
12. So I have here "a", "
e
", "i", "o", "u", and sometimes "y".
13. So we need to prove something about the union of S and
E
.
14. T that has the vertex set V and an edge set
E
.
15. If this path does not contain the edge
e
,
16. Well, if that's true, then of course, S together with
E
17. And we know that S is actually a subset of
E
star.
18. BV: ok hey, K-A KT:K-A BV: see "A" yes BV/KT: fingerspell K-A-T-
E
-L-Y-N
19. KT: K-
E
-T-
E
-L-Y-N
20. connected in the new graph where I've removed this
e
.
21. It has edges
E
star.
22. is also a subset of
E
star.
23. contains both S and
E
. So it contains the n
24. Girl: (fingerspells) K-A-T-
E
-L-Y-N
25. It might be in the shape of an "o", it might be "o" and "
e
", it might be "o" and "a", "ow",
26. for any pair of vertices, even after removal of
e
,
27. Well, I know that
E
is the edge set
28. "o" and "
e
", so there's many different spellings for this.
29. the graph T minus this edge
e
is still connected.
30. BV: Oh that, (fingerspells) K-A-T-
E
-L-Y-N. OK.
31. So let
E
denote the edge that I added in the m plus 1 step.
32. KT: K-A-T-
E
-L-Y-N
33. KT:(fingerspells) L-I-N-D-S-
E
-Y
34. does not contain this particular edge
e
that I remove here.
35.
E
has successfully n minus 1 edges.
36. Well, there exists as edge in
E
minus S--
37. that S is a subset of
E
.
38. The main thing is to remember that "a", "
e
", "i", "o", "u", and sometimes "y" are vowels.
39. that it is an element in
E
, but not in S.
40. the "
e
" is a vowel and so is the "o".
41. BV & KT: (both fingerspell) K-A-T-
E
-L-Y-N
42. Looks like
e
is not listening to you.
43. KT:(fingerspells) L-I-N-D-S-
E
-Y
44. So it's not spread like an "
e
" sound or an "ahh" sound.
45. part of
E
star.
46. Because I have removed
e
from a cycle.
47. "o" and "
e
", "o" and "u", and "
e
" and "w".
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