Thomas E.
Reputation
4,110
Next privilege 5,000 Rep.
Approve tag wiki edits
 Apr26 comment Hausdorff Dimension Question Is this a homework? Apr25 comment Matrix equation Btw, you may handle the cases seperately if some of the $a$'s equal zero. If $a_{11}=0$, then $b_{11}$ has no control at all. You may repeat the above reasoning and get all possible solutions by choosing only one "free-variable" $b_{31}=t$. Similarly to any other $a$ being zero. If two $a$'s are zero, then those corresponding $b$'s have no control and can be anything. The remaining $b$ must be zero though. If all $a$'s are zero, then all values for $b$'s satisfy the equation. Apr25 revised What is $\limsup\limits_{n\to\infty} \cos (n)$, when $n$ is a natural number? added latex symboling. Apr25 suggested approved edit on What is $\limsup\limits_{n\to\infty} \cos (n)$, when $n$ is a natural number? Apr25 comment Matrix equation Yeah, that's usually the case when you have more unknown variables than equations that control the possible solutions. Apr25 comment Orthogonal basis for $P_{2}(\mathbb{R})$ There are some good free online integration tutor materials if you google, and most definitely some excellent textbooks available too. Too bad I learned these things from textbooks of my native language (which isn't English), so I don't know any books of this topic to recommend. :/ Apr25 answered Matrix equation Apr25 comment Orthogonal basis for $P_{2}(\mathbb{R})$ If you have indefinite integral, then $\int xdx=\frac{x^{2}}{2}+C$, where $C$ is a constant. And yes to second question. Step by step it comes as: $\int_{0}^{1}x^{2}dx=/_{0}^{1}\frac{1}{3}x^{3}=\frac{1}{3}-0=\frac{1}{3}$. Apr25 answered Monotone expected value Apr25 answered Orthogonal basis for $P_{2}(\mathbb{R})$ Apr25 answered How do you prove that the 3-sphere is connected? Apr25 revised Consider $I_{\epsilon}=\oint_{C_{\epsilon}} z^{\alpha}f(z)dz$ Corrected latex symboling Apr25 suggested approved edit on Consider $I_{\epsilon}=\oint_{C_{\epsilon}} z^{\alpha}f(z)dz$ Apr25 comment Find the formula of the following expression: What have you tried so far? Also, is this a homework assignment? Apr25 answered Finding a Measurable Function Apr25 comment does there exist a discrete set whose image is dense For the proof of $m+n\sqrt{2}$ being dense in $\mathbb{R}$, you can consult this topic: math.stackexchange.com/questions/73262/… Apr24 revised Probability of land ownership Added latex math-symboling. Apr24 suggested approved edit on Probability of land ownership Apr24 comment Probability of land ownership Do you consider in the "landless" people also those who have history of not owning a land in the past (but who may, currently own one)? Apr24 suggested rejected edit on Let $a_ {n}$ a sequence such that $a_ {n +1} = 2 ^ {a_ {n}}$