darklight03/StackMIAsub huggingface dataset:
I want to illustrate overlaps in three sets, similar to how one of these standard color plots [do they have a name?] look like except that I want to choose my own colors and different text [not C, M, and Y]. (I want the inside most quasi-triangle to be a red, the area outside of the plot to be a green, and the partials [both three inner and three outers, though different] have some sort of mix colors. presumably a little bit lighter, because I need text in each intersection, too, that needs to be readable.). the idea is to show that when all three things come together, it's bad. a trifecta. maybe I need a graphical artist rather than latex...or is this somehow built in?
If we draw a curve of a function without drop the pen then the function must be continuous or not?I am confused with it. If there is curve for which some portion of the curve parallel to y axis at any any x then there have many value for single x and we can draw this curve without drop the pen then the curve is continuous or not?
If simple CFD softwear like XFoil and OpenVSP use the panel method to find an estimate of the drags and lifts/pressure distributions. How do they find drag and lift if the panel method works based on invicid flow? I thought that there can be no drag or lift created in a complete invicid flow which i think i do understand. (I am awear its obvious the panel method cant calculate purley from itself the skin friction) But it is not at all obvious to me regading any form/induced drag Im at university but we mostly just use the softwear/equations, but i recetly take the time to actually try understand the working/derivations so apologies theres something obvious missed.
before I write the an article, I would like to roughly partition the text. The sections and images should be where they are in the final article, with white space where the text is supposed to be. For that, I would need placeholders that consists of a certain number of white spaces, which automatically reduce as soon as I add real text. (I load the single chapters as single files into the main file and maybe here "filling up the text with white spaces" is possible) One could hence compare it to a "Latex-form" for the text. Does a package or a method like this exists?
Suppose we look at the surface of a lake and see a reflected image of high-altitude clouds in the sky. The distance of a cloud from the lake is far more than the depth of lake. So then how can an image be formed? I know that we see an image formed into the lake because still water surface of lake can be treated as a plane mirror. But in this case, how can object distance be equal to image distance that happens in a plane mirror? The height of cloud will be kilometres, but the depth of cloud will be a few metres.
forward implication f is continuous therefore it is bounded hence u is bounded hence u is a continuous. Reverse implication: f is expressed as function of u(x) - i((uix)) u is continuous and hence real part is continuous imaginary part contains scalar I therefore it is also continuous. and hence f is continuous. f(x)=u(x)-iu(ix) u(x)=Re(f(x)) <= |f(x)| ||u(x)|| <= ||f(x)|| now define k(x)= bar of f(x) / mod of f(x) |F(x)|=k(x)f(x)= f(k(x)x) = Ref(k(x)x) = u(k(x)x) and ||kx|| <= ||x|| and I don't understand how to proceed ahead
If we take two balls that change colours white and black, if we set that change in colours is always opposite one from another, for sure if we take one ball to the end of universe, if that ball will have black colour and second will have white colour.. How we know that spin (black and white balls) are not set from start when two entangled photos are made?
I have been thinking about this situation, I have no idea how the normal force act of such a body. Here I have taken the point mass and ring of same mass m but please provide a general solution. So I will state it as a question: How will normal force of the floor act on the ring of mass m and radius R, with a point mass on it when released is the same position as I have given in the picture. And ofcourse gravity is acting on it, take it g.
P= Pulling Any reference for the gradient of Normal Reaction. Will pushing the weight lead to reversal of gradient? Does this mean there is gradient of friction force (as it depends on normal reaction)? While it seems that based on irregularities the reaction developed should be different at each point of contact between surfaces which would lead to different friction & normal force magnitudes at each point as illustrated in which supports intuition.
I am reading measure theory in Rudin Book and in one of the its proofs, it is derived from an equality which exists between four sequences that this equality should also exist on four Limits. I think it is resulted from this fact that sum (and so difference) of two convergent sequences converges to sum of limits But I feel somehow unsure in this case. Can some one describe equality on limit more for me? Thanks in advance This is the sequences and the limits:
If we have any simple object like sheet,rod or sphere with uniform charge at them, is electric field at surface always finite? For sphere I read that it is finite because as test approaches the surface the area patch which can cause infinite field at a point is also getting smaller hence charge on patch is also getting smaller. So it is applicable for all case and if not why not?
And what if the line that being fitted has an additional constraint of avoiding certain points while making the polygon? Is there some specific fields I need to be exploring? For instance, set theory. The points that forming a polygon can be a set, and points under constraint condition can be another set. Another thinking direction was convex optimization of set points with constraints. PS: I do not mean fitting of line as in machine learning.
I think that would be a very helpful website where you could search for a theorem or topic and get instantly a list of proofs published by the users no matter where they come from books or made made by themselves and were each proof of the list will by ranked by votes so each user will ideally vote by the most accurate or easy to understand proof