@BananaCats Thanks :) I'm actually building my own Neural Network from scratch just so I can learn all the ins and outs. I'd like to discuss the actual architectural/design decisions with people familiar in the field if that makes sense.
So right now I have a small project going where I'm trying to categorize different strings. Like say I have a string: "A cat walked around in the park to find food." I'd want my NN to tell me it found related tags: "cat", "outside" and "food" for example. I would like to determine if I should use LSTM Recurrent NNs for this... or maybe I'm thinking about it all wrong
Show that the tractrix has the following property: for each point on the curve, the line segment of the tangent line from the curve point to the $y-$ axis has length 1.
My attempt:- Let the given Tractrix can be parametrised by the formula, $$c:(0,\pi/2)\to \mathbb R^2,$$ $$c(t)=\sin(t) \hat{i}...
oh, I meant like, I know `i = sqrt(-1)` and a complex number `z = a + ib`, where `a` and `b` are real numbers. But say I considered i to be some other real value, not imaginary. I'm assuming `i = -1`, by what measure will z be affected. How do you measure that? The difference between `z1 = a + ib` and `z2 = a - b + 0i`. It feels like I'd just be studying `Re(z2 - z1) = b`which is not useful. Is there anything interesting about the plane on which the (1+i)/|1+i| unit lies? I think it's on the diagonal of a box, but like in this idea .. I'm like thinking `i=-1`, so `0/0` is the diagonal. I…
@Astyx or leave it, that doesn't make much sense actually :I I'm thinking a lot.
i'm feeling 0/0 means that diagonal plane is the only plane on which a direct shadow from neither real plane or imaginary plane can fall. (my language skills need improvement probably)
no, wait, that is wrong. I've forgotten what cases I was imagining :/
@AlessandroCodenotti it's a soft one, but pretty much I just want to know what the structure sheaf tells you geometrically, like why is it useful? I am thinking here of manifolds, it seems clear to me why it matters, say, in a scheme
@Anilla hi would also like to see more activity on ML in SE chat rooms. have had intermittent discussions in these rooms, there are a few scattered users/ experts, can introduce you to some, have worked in area myself, somewhat more with GAs etc chat.stackexchange.com/rooms/71/the-h-barchat.stackexchange.com/rooms/43371/the-singularity re your question look into natural language processing
Let $f(x,y)$ be a symmetric real function and a formal group law
$$G(x + y) = f(G(x),G(y)). $$
Consider the equation
$$ h(2x) = f(h(x),h(x)) = A(h(x)). $$
This equation has many solutions.
Compute a solution to that equation with the fixed point at $0$ and its Koenigs function, and call the ...
Show that the tractrix has the following property: for each point on the curve, the line segment of the tangent line from the curve point to the $y-$ axis has length 1.
My attempt:- Let the given Tractrix can be parametrised by the formula, $$c:(0,\pi/2)\to \mathbb R^2,$$ $$c(t)=\sin(t) \hat{i}...
Let $f(x,y)$ be a symmetric real function and a formal group law
$$G(x + y) = f(G(x),G(y)). $$
Consider the equation
$$ h(2x) = f(h(x),h(x)) = A(h(x)). $$
This equation has many solutions.
Compute a solution to that equation with the fixed point at $0$ and its Koenigs function, and call the ...
