Is the two open set gluing definition of sheaves in G-H correct ? I think you'll have some sheaves in this definition which are actually preshaves (eg, "sheaf" of bounded continuous functions)
@BalarkaSen yeah that's a huge problem. also they handwave A LOT in the section on poincare duality and intersections, which is really hard to properly understand
According to book Georg Cantor: His Mathematics and Philosophy of the Infinite -
Joseph Warren Dauben , David Hilbert claimed that the axiomatic method to real number system is more secure than the constructive method(genetic method) .
The axiomatic method described as
These axioms include...
Hello! I don't think this is worth an actual question so... Given this set of data points {{2,0},{12,0},{3,1},{11,1}, {4,2},{10,2}, {5,3},{9,3}, {6,4},{8,4}, {7,5}}, Wolframalpha gives a really nasty linear interpolation... But I'm sure there's a really nice one using the absolute value operator (need this for programming purposes). It just have to fit these data points. Thanks!
Wolframalpha gives a really nasty polynomial* interpolation...
I am using Q-learning and SARSA to solve a problem. The agent learns to go from the start to the goal without falling in the holes.
At each state, I can choose the action corresponding to the maximum Q value at the state (the greedy action that the agent would take). And all the actions connect s...
I don't understand. I have $d/dx \left(\sinh^-1\right) = ... = 1/ \cosh\left(\sinh^{-1}(x)\right)$. Why would I take the derivative (of the derivative).
Prove that the class of functions f(x) = o(x+1) satisfies or does not satisfy lim 1 / f(x) as x -> 0, where f(x) is a function of x and o(x+1) is little-oh bound. If the satisfaction does not hold for this particular example, what would a general method to prove such satisfaction relations?
What would be the way to go about finding such proofs
To my knowledge, there are at least 6 different variants of Actor Critic:
\begin{array}{l l l l}
\text{actor gradient} & \text{critic gradient} & \text{actor gradient biased} & \text{name} \\
\hline
\sum_t \nabla_\theta \log \pi_\theta(a_t | s_t) \cdot (R_t - V_\theta) & \nabla_\theta \frac{1}{T}...
I haven't read that many, actually. But my general advice is to be as non-generic as possible. Talk about specific things that have engaged and challenged you, not just about how much you "love mathematics."
According to book Georg Cantor: His Mathematics and Philosophy of the Infinite -
Joseph Warren Dauben , David Hilbert claimed that the axiomatic method to real number system is more secure than the constructive method(genetic method) .
The axiomatic method described as
These axioms include...
