Recent content by senobim

= A Solution manual is wrong, I posted exactly as it is. Thank you for your time!

My attemp to prove it: B ∪ (A ∩ B') = [distributive law] = (B ∪ A) ∩ (B ∪ B') = (B' ∩ A) = A

S - is a universal set. In that case answer posted in a solution manual of this book, doesn't make any sense at all (compliment marks added) B ∪( A ∩ B' ) = (B ∩ A) ∪ ( B ∩ B' ) = (B ∩ A) = A I fail to see how they are using these law to prove that implication.

Ohh, after copying the problem, somehow, I've lost complement sets. Excuse me! The book is Mathematical statistics with application by D.Wackerly et al. A = A ∩ S , S = B ∪ B' If B ⊂ A then A = B ∪ (A ∩ B') Ok, If A = A ∪ B and A = A ∩ B it's possible to prove that identity, although I am...

<Moderator's note: Moved from a technical forum and thus no template.> Greetings! I've been working on basic algebra of sets. Refer to Exercise 2.4. Use the identities A = A ∩ S and S = B ∪ B and a distributive law to prove that If B ⊂ A then A = B ∪ (A ∩ B). Exercise 2.4 asked to draw Venn's...

Thank you!

I am trying to calculate first derivate of term <x1> \frac{d}{dk}(ika-\frac{\sigma^2k^{2} }{2})=(ia - \sigma ^{2}k) now I am evaluating it at 0 f_{X}(0)= ia And what will happen with a i term?

I have calculated characteristic function of normal distribution f_{X}(k)=e^{(ika-\frac{\sigma ^{2}k^{2}}{2})} and now I would like to find the moments, so I know that you could expand characteristic function by Taylor series f_{X}(k)=exp(1+\frac{1}{1!}(ika -...

Nice! Thank you very much!

Hello, guys. I am trying to solve for characteristic function of normal distribution and I've got to the point where some manipulation has been made with the term in integrands exponent. And a new term of t2σ2/2 has appeared. Could you be so kind and explain that to me, please...

Homework Statement Light is scattered in cuvette by Reyleigh scattering, and is measured by monochromator. Light intesity is given by I(ν)=I0ν1/2 relationship What is scattered light intensity at λ = 400nm if at λ = 800nm is I800? Homework Equations Scattered light intensity is proportional...

some different freaquency from c/λ or I need to define different freaquency just c/λ2 and the range will be c/λ and c/λ2

c/λ and c/λ + δ(c/λ)?

of course. λ = c/ν, ν=c/λ --> do I nead to integrate over this range this time? c/λ and c/λ + c/δλ

λ=c/ν I=I_{0}\int_{\nu }^{\nu +\delta \nu }\left ( \frac{c}{\nu } \right )^3d\nu \approx I_{0}\delta \nu \left ( \frac{c}{\nu } \right )^3