## [ Politics ] Open Question : Is Kayleigh McEnany correct in saying it’s peculiar that Joe Biden doesn’t wear a mask in his own home?

lmao she legit tried to frame Biden as fake because he wore a mask in public but not in his own basement. Who agrees with her?

## Solving a peculiar recurence relation

Given recurrence:

$$T(n) = T(n^{\frac{1}{a}}) + 1$$ where $$a,b = \omega(1)$$ and $$T(b) = 1$$

The way I solved is like this (using change of variables method, as mentioned in CLRS):

Let $$n = 2^k$$

$$T(2^k) = T(2^{\frac{k}{a}}) + 1$$

Put $$S(k) = T(2^k)$$ which gives $$S(\frac{k}{a}) = T(2^{\frac{k}{a}})$$

$$S(k) = S(\frac{k}{a}) + 1$$

Now applying Master’s Theorem,

$$S(k) = \Theta(log_2(k))$$

$$T(2^k) = \Theta(log_2(k))$$

$$T(n) = \Theta(log_2log_2(n))$$

I believe my method is incorrect. Can anyone help ?

Thanks

## Peculiar MCMC sampling problem

I have two random variables, X and Y, and Y is a positive real number. I can sample from $$p(y|x)$$, but I need to sample from $$p(x)$$, which I know to be proportional to $$\frac 1 {E[y|x]}$$. I could estimate $$p(x)$$ from the mean of a lot of samples from $$p(y|x)$$ and then use a Metropolis algorithm, but sampling from y isn’t cheap, so sampling a lot of them for each step is somewhere between prohibitively expensive and ain’t gonna happen. Is there a better way to do this?