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Dec
12
accepted Showing that $\int_{a}^{b} \frac{(x-x_1)(x-x_2)}{(x_0 - x_1)(x_0-x_2)} dx = \int_{-1}^{1} \frac{t(t-1)}{2} \frac{b-a}{2} dt$
Dec
9
wiki
Dec
9
awarded  Caucus
Dec
6
comment Show $P(X(t)=0 | X_{0}=2)= P(X(t)=0 | X_{0}=1)^{2}$
@Mehdi I posted it below.
Dec
6
answered Show $P(X(t)=0 | X_{0}=2)= P(X(t)=0 | X_{0}=1)^{2}$
Dec
6
asked Show $P(X(t)=0 | X_{0}=2)= P(X(t)=0 | X_{0}=1)^{2}$
Nov
30
awarded  Yearling
Nov
5
answered James R. Munkres' TOPOLOGY, 2nd edition: How to check my work?
Oct
27
awarded  Notable Question
Oct
22
awarded  Famous Question
Oct
17
comment Let $A''=\operatorname{End}_{A'}(V)=\operatorname{End}_{\operatorname{End}_A(V)}(V)$. Show that $A''$ is a $k$-algebra.
@quid You are right, just forgot it, updated it now.
Oct
17
revised Let $A''=\operatorname{End}_{A'}(V)=\operatorname{End}_{\operatorname{End}_A(V)}(V)$. Show that $A''$ is a $k$-algebra.
added 90 characters in body
Oct
17
asked Let $A''=\operatorname{End}_{A'}(V)=\operatorname{End}_{\operatorname{End}_A(V)}(V)$. Show that $A''$ is a $k$-algebra.
Oct
17
awarded  Taxonomist
Oct
16
accepted Let $L,K\in \operatorname{End}_k(V)$ such that $L\circ K =0$. Is there an easy way to see that $\operatorname{Im}(L) \cap \operatorname{Im}(K)=0$?
Oct
16
comment Let $L,K\in \operatorname{End}_k(V)$ such that $L\circ K =0$. Is there an easy way to see that $\operatorname{Im}(L) \cap \operatorname{Im}(K)=0$?
Ah okay, now I understand also my confusion, because my book said. Blabla. Therefore $LK=0$ and hence $\I(L)\cap \I(K)=0.$ So I thought there was some magical connection.
Oct
16
comment Let $L,K\in \operatorname{End}_k(V)$ such that $L\circ K =0$. Is there an easy way to see that $\operatorname{Im}(L) \cap \operatorname{Im}(K)=0$?
I understand the first part, thanks for that :) But the second part, I don't understand. You end with that $LK=0=KL$, but that is already our assumption right ?
Oct
16
asked Let $L,K\in \operatorname{End}_k(V)$ such that $L\circ K =0$. Is there an easy way to see that $\operatorname{Im}(L) \cap \operatorname{Im}(K)=0$?
Oct
16
comment Is a representation of a $k$-algebra a $k$-vector space?
@TobiasKildetoft
Oct
16
asked Can we say anything about the unit of a $k$-algebra $A$ in terms of the unit $1\in k$?