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Mathematics
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Gab
  • Member for 3 years, 2 months
  • Last seen more than 2 years ago
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question
3
Show that $\mathbb R$ is a $\mathbb Q$-vector space of infinite dimension.
Oct 10, 2021
question
3
Let $a$ be a set accumulation point $X$. Show that there is either an increasing sequence, or a decreasing sequence of...
Apr 2, 2022
question
3
(Borel-Cantelli) If $X_i$ is a sequence of identical and independent variables. Using Borel-Cantelli, prove that...
Apr 28, 2022
question
2
Let $T : V \to U$ be a linear transformation and $A,B,C \subseteq V$...
Oct 10, 2021
question
2
(complex variables) Calculate the integrals below using the theory seen on Cauchy's integral formula. Do not use the formula that involves ...
Jul 9, 2022
question
2
(complex variables)Let $D \subset C$ be an open connected...
Jul 9, 2022
question
2
Show that every irreducible polynomial in $\mathbb Z_p$ is a divisor of $x^{p^n}-x$ for some $n$.
Jul 22, 2022
question
1
We have three players A, B and C. They roll an honest die, first A, then B, and lastly C until someone is the first to get an even number...
Mar 27, 2022
question
1
a) Prove: for any $X,Y \subset \mathbb R$ we have $int(X) \cup int(Y) \subset int(X \cup Y)$...
Apr 2, 2022
question
1
Let $p : \mathbb R \to \mathbb R$ be a non-constant polynomial, that is, for all...
Apr 16, 2022