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Q
eHh§0u0us }
!
§§
§ !
" Prove that there exists a onetoone function from
such that
implies
Note: is the set of real numbers. Prove or disprove: there exists a
real entries such that § ; are both in if and only if
are both in .  ¢¡ ¨ if and only if and
and of distinct by the W ¨
©§ 3. , we can deﬁne ¤¡ 2. if and only if B–4 For any square matrix
usual power series: d H kig
xX h
W
{yyW
pzDxW
V
Qu
wvQ
qo
s
y Q 8p
x ¢ t1 ¤ R! Y ' mH kig
l
h n
...
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 Fall '08
 Staff
 Math, Real Numbers, Natural number, William Lowell Putnam Mathematical Competition

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