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Nothing special
  • Member for 2 years, 8 months
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5 votes
Accepted

Proving that Gauss-Jacobi iterations always converge when a system is strictly diagonally dominant.

5 votes

Given that $A=\text{log}_{16}15$ and $B=\text{log}_{12}18$, find $\text{log}_{25}24$ in terms of A and B.

4 votes

Number of homomorphisms from $S_n$ to $\mathbb Z_n$

4 votes

Evaluation of $\sum^{19}_{k=1}\frac{(-1)^{k-1}k}{\binom{20}{k}}$

3 votes

Expected Number of coin flips for 2 consecutive heads for first time.

2 votes

Find a necessary and sufficient condition for $U(m)$ and $U(n)$ to be isomorphic.

2 votes
Accepted

Is there another method for finding matrix of a linear transformation w.r.t. a non-standard basis without finding the transition matrix?

2 votes
Accepted

Seeking Efficient Solution for Determinant Calculation of a Complex $5\times 5$ Matrix

2 votes
Accepted

How to evaluate $\int_0 ^1 \left( \sum\limits_{n=1}^{\infty} \frac{\lfloor2^nx \rfloor}{3^n}\right)^2dx$?

2 votes

Find the locus of the point of intersection of three mutually perpendicular tangent planes to the paraboloid $ax^2+by^2=2cz.$

2 votes
Accepted

Studying the sign of this function without the derivative

2 votes

Given recursive formula $a_n = 2a_{n-1}+1$, show $a_n = 2^n -1$

1 vote

Different eigenvalues using two different methods

1 vote
Accepted

If the vectors $a_1, ..., a_n$ are expressed linearly with the vectors $b_1, ..., b_k$, then $r(A)\le r(B)$

1 vote

Determinant of $n \times n$ matrix given diagonal and non diagonal entries

1 vote

If $a_1=1$ and $a_{n+1}=3-\frac{1}{a_n}$, show that the sequence converges and find the limit.

1 vote

Check the convergence of the series $\sum_{n=1}^\infty \frac{(3n-2)!!!}{3^n n!}$ and $\sum_{n=1}^\infty (-1)^n\frac{(3n-2)!!!}{3^n n!}$?

1 vote

Evaluate $\lim\limits_{x \rightarrow 0} \bigg ({\frac{(1+x)^{\frac{2}{x}}}{e^2}}\bigg)^\frac{4}{\sin x}$

1 vote

Product of right cosets equals right coset implies normality of subgroup

1 vote
Accepted

Show that the set $\{v_1, \dots, v_n\}$ is linearly independent

1 vote

Solve equation $(3x^2-2x-1)^2-(6x^2-4x-5)^2+x=0$

1 vote

How to find a primitive element for $\mathbb F_{11}$

1 vote

$7^{n+2}+1$ is divisible by 8

1 vote

Let $R$ be a ring with identity such that it has no zero divisors. If every subring of $R$ is an ideal of $R,$ then prove that $R$ is commutative.

1 vote
Accepted

Finding the expression for the power series $\sum _{n=1}^{\infty } \frac{\prod _{i=0}^{n-1} (a+id)}{\prod _{i=1}^n id}x^n$

1 vote
Accepted

Proof by contradiction using properties of normal subgroup: A group is cyclic if $x^m=e$ has at most $m$ solutions.

1 vote

How to integrate $\int \sqrt{1+\sqrt{1+x}}\ \mathrm{d}x$?

1 vote

Find the equation of a system of coaxial circles of which the points $(\pm k,0)$ are the limiting points.

1 vote

Identify the Quotient Group $G/H$ Using the First Isomorphism Theorem

1 vote

Is it true that $\sum_{k=0}^m\binom{n-k}k$ outputs the $(n+1)$th Fibonacci number, where $m=\frac{n-1}2$ for odd $n$ and $m=\frac n2$ for even $n$?