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Apr
21
reviewed Reject Vladimir Zorich vs Rudin/Pugh/Abbott
Apr
20
awarded  Yearling
Apr
7
awarded  Good Answer
Apr
6
comment How can we show that for $\lambda <0$ we get the trivial solution $X(x)=0$?
@MaryStar It looks fine to me. To answer your two last questions try to sketch the graphs of $\tan h$ and $1/h$.
Apr
5
answered How can we show that for $\lambda <0$ we get the trivial solution $X(x)=0$?
Apr
4
comment System of first order ODEs with coherent sinusoidal time varying coefficient
@nonlinearism The question deals not with a general case, but with a very specific situation, in which it is reasonable to expect to see more than the general case provides. Your two comments above dismiss the specific form of the problem, referencing very general, but not helpful here, fact.
Apr
4
comment How can one prove the existence and uniqueness of solutions to linear differential equations?
@Ian The solution will be $t^3/3 I$ :) which is of course global.
Apr
4
comment System of first order ODEs with coherent sinusoidal time varying coefficient
@nonlinearism Your statements are wrong, since to make the change of the variables, you will need the monodromy matrix, which is surely exists, but there are no regular methods to find it.
Apr
2
reviewed Approve The unique loop $L$ (quasigroup with unit) of order $5$ satisfying $x^2 = 1$ for all $x \in L$
Mar
31
answered Topology equivalence in dynamical system
Mar
25
reviewed Approve Proving Composition of Uniformly Continuous/Convergent Function Sequences
Mar
23
reviewed Approve The weak convergence between $L^2$ and $H^1$
Mar
22
reviewed Approve Conservative vector field, potential function and work done
Mar
22
reviewed Approve Bijection between open and closed interval
Mar
22
reviewed Reject how to solve this integration question
Mar
17
comment Calculating the expected value of a function of a random variable
Watch the signs of your expressions. What you write is $E(X-\lambda)$ not $E(|X-\lambda|)$
Mar
17
comment Calculating the expected value of a function of a random variable
No, you do not have $\sum ip_i$ term.
Mar
17
revised Calculating the expected value of a function of a random variable
edited body
Mar
17
comment Calculating the expected value of a function of a random variable
Yes, it is correct now.
Mar
17
comment Calculating the expected value of a function of a random variable
Why do you count from $i=1$?