Aritra Das's user avatar
Aritra Das's user avatar
Aritra Das's user avatar
Aritra Das
  • Member for 9 years
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81 votes
7 answers
7k views

Does associativity imply commutativity?

51 votes
3 answers
10k views

What does infinity in complex analysis even mean?

15 votes
4 answers
27k views

Show that similar matrices have same trace

12 votes
5 answers
4k views

Why do un-integrable functions exist?

8 votes
3 answers
41k views

What is the definition of differentiability?

7 votes
1 answer
171 views

Generalisation of Index of a curve to higher dimensions

6 votes
1 answer
851 views

Can a elementary row operation change the size of a matrix?

6 votes
1 answer
980 views

If $\frac{x^2+ax+3}{x^2+x+a}$ takes all real values, prove $4a^3+39<0$

6 votes
0 answers
238 views

Calculate the resistance between 2 adjacent nodes on a shape using graph theory

5 votes
2 answers
119 views

Solving a recurrence to a problem

4 votes
2 answers
8k views

Number of ordered pairs $(x, y)$ such that $0 \leq x, y\leq 18$ and $3x+4y+5$ is divisible by $19$

4 votes
2 answers
93 views

Limiting value of $\frac{x^n e^x}{n!}$ as $n\to\infty$

3 votes
1 answer
58 views

Proof that $\left(\frac{1}{x}, \frac{1}{y}\right)$ is a convex region if $(x, y)$ is

3 votes
1 answer
145 views

Elegant proof of an elementary result in Linear Algebra

3 votes
2 answers
317 views

Why is the definition of derivative what it is?

3 votes
1 answer
970 views

Suppose $f$ satisfies $f_x(x,y) = f_y(x,y) = 0$. Then $f$ is constant.

2 votes
1 answer
101 views

Help understanding proof regarding Linear Transformation

2 votes
1 answer
153 views

Shortest number of steps to reach a position

2 votes
0 answers
178 views

Proving inequality for an L-smooth bounded function

2 votes
1 answer
65 views

Proof that $\frac{2x}{1+x}\leq f(x) \leq \frac{1+x}{2}$ for standard operator monotone function $f$

2 votes
4 answers
3k views

Probability of getting a five digit number divisible by 5 but with no two consecutive digits identical

2 votes
1 answer
841 views

Can a function be differentiable while having a discontinuous derivative?

2 votes
2 answers
2k views

How to prove that $ A^TA$ is singular for $2\times 3$ matrix $A$

2 votes
1 answer
136 views

Numbers expressible as sum of 2 squares in 2 distinct ways

1 vote
2 answers
3k views

Functional Equation: $f(x^2-y^2)=xf(x)-yf(y)$

1 vote
1 answer
142 views

$\int \frac{dx}{a\sin x + b \cos x} $ using complex numbers

1 vote
2 answers
207 views

Which is greater ? Sum of odd power terms or even power terms in the exponential Taylor series?

1 vote
1 answer
249 views

Integrate $\int \log(1+2m\cos x+m^2) dx $ [duplicate]

1 vote
1 answer
1k views

Probability of an event if the sample space has identical elements

1 vote
3 answers
1k views

Projections in Linear Algebra