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Feb
24
answered Topology: Continuous Functions
Feb
23
answered Dirac's delta, infinite series and integral
Feb
23
comment Dirac's delta, infinite series and integral
Tryss, Dirac is a linear integral operator on the space of functions. It is defined as an object which gives you $\int f(x) \delta (x-x_0)dx = f(x_0)$.
Feb
22
comment Dirac's delta, infinite series and integral
Is $p$ a number or a function? If it is a number, then the integral is trivial ($\int \delta(\alpha -i)d\alpha = 1$ iff i is within the integration bounds).
Feb
22
answered How to quickly recognize closed sets and open sets in $\mathbb{R}^2$
Feb
11
answered Verifying that a given set is an ideal
Feb
11
comment Let $a,b$ be positive integers such that $a\mid b^2 , b^2\mid a^3 , a^3\mid b^4 \ldots$ so on , then $a=b$?
So it's really a question of simple arithmetic. If the powers are $x$ and $y$ then what this amounts to is $2ny-y \le 2nx \le 2ny+y$
Feb
11
comment Let $a,b$ be positive integers such that $a\mid b^2 , b^2\mid a^3 , a^3\mid b^4 \ldots$ so on , then $a=b$?
If $a \neq b$ then there can be 2 options - either there is an uncommon prime divisor, or there is only a difference in prime powers. Think about what this means for the powers of prime divisors...
Feb
2
answered Statistics: how to equate two estimators
Dec
17
comment Monty hall problem extended.
It's very similar to having a dog, just a little livelier.
Dec
10
awarded  Yearling
Dec
9
answered Is there a polynomial, in terms of $x^4$ and $x$, whose graph is not below the graph of the function $y=x^3$
Dec
8
answered Wrapping function is continuous but why is its inverse function not continuous?
Dec
1
awarded  Commentator
Dec
1
comment Limit of square root times difference of nth roots
Quick suggestion: search for a common denominator...
Nov
5
awarded  Critic
Jan
30
comment How does one find the Fourier coefficients of a piecewise continuous function?
restart using the complex Fourier series and retreat back to $a_k$ and $b_k$ later.
Dec
21
comment Definition of topology
But epsilons and deltas only work when you have a metric. They won't take you far.
Dec
21
answered Definition of topology
Dec
20
comment The rearrangement theorem for improper convergent series
OK. OK. This is a case of unclear notation. I haven't seen the term "improperly convergent" for a series in that sense before. It's not a widely used terminology.