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Janitha357's user avatar
Janitha357's user avatar
Janitha357
  • Member for 7 years, 6 months
  • Last seen more than a week ago
5 votes

Interesting Proofs about Metric Spaces?

4 votes
Accepted

Why must bounded sets be contained within a closed ball?

4 votes

Proof the countable union of f-sigma sets is an f-sigma set?

4 votes
Accepted

Computing the composition of a piecewise function

3 votes

What's the boundary of a sequence of integers?

3 votes
Accepted

Convergent sequences in $\Bbb R$

3 votes

Let $f : [0, \infty) \to \mathbb{R}$ $f(x) = \sqrt {x}$. Prove $f$ is continuous at $x = 4$

3 votes

Prove that $\partial (A \cup B)= \partial(A) \cup \partial(B)$ if $\bar {A} \cap \bar {B} = \phi$.

3 votes
Accepted

Negate this statement

3 votes

sets proving question

2 votes

the definition of irrational numbers and the proof of Cauchy's theorem

2 votes

Can I become really good at calculus studying MIT OpenCourses?

2 votes

Show A is locally compact, if A is a closed subset of a locally compact space.

2 votes
Accepted

Prove that the boundary of a square is connected

2 votes

Spivak's Calculus 8-3(a)

2 votes

Using modular arithmetic show that in $<ℤ_p, +, *> , a = a^{-1}$ if and only if $a ∈ {1, p-1}$.

2 votes
Accepted

Solving complex number by geometrical method.

1 vote

Compute gcd$(24, 54 + 24^{7})$

1 vote
Accepted

Showing modular arithmetic of primes hold as a field

1 vote
Accepted

$x \in A \Delta (B \Delta C)$ iff $x$ belongs to an odd number of $A$, $B$, $C$

1 vote

Prove that for every integer $n$, $30 \mid n$ iff $5 \mid n$ and $6 \mid n$

1 vote

Compute gcd$ \ (7^{n} + 4, \ 7^{n})$

1 vote

Is it true that $\overline{A}\cup\overline{B}$ = $\overline{A\cup B}$?

1 vote

A problem in GCD to prove

1 vote
Accepted

Proving the Metric Space Topology is a Topology

1 vote

Isomorphism takes center to center

1 vote

Is the decreasing sequence of non empty compact sets non empty and compact?

1 vote
Accepted

Find a quadratic polynomial which when divided by (x-1), (x-2), (x-3) leaves remainders 11, 22, 37 respectively.

1 vote
Accepted

Matrix Multiplication Algebra -Equality

1 vote

Condition on $F$ such that $U^\prime \subseteq U\cap F$