Problem: Find a conformal map from $\left\{ z \in \mathbb{C} \mid -1 &lt; \text{Re} (z) &lt; 1 \right\}$ to the unit disk.   Attempt: What I did, was to first shift everything to the right with one unit. So I used the map $F_1(z) = z + 1$. Then I rotated this vertical strip into a horizontal strip by 90 degrees, using the map $F_2(z) = i z$.   Now I have the infinite horizontal strip which goes from $0i$ to $2i$ in vertical direction. I wanted to map this into the unit disk.   I would use $F_3(z) = \frac{z - i}{z + i}$. But I'm not sure if this will give me a bijection, because I know already that this function maps the whole upper plane into the unit disk. And now I only have a part of the upper half plane.   Is there any way I can 'extend' my infinite horizontal strip to the whole upper half plane?
I haven't found a similar question on here, though I suspect the question may be rather well-covered.   I want to find a conformal map from the vertical strip $\{z:-1&lt;Re(z)&lt;1\}$ onto the unit disc.  Under the exponential map the region is taken to the annulus with radii $e$ and $e^{-1}$, but I'm not sure how useful this will be.  Can anyone advise on what the conformal map may be?  Thanks.
when does a functor map products into products? Hypernym for “import” and “export”? The question of whether P=NP is perhaps the most famous in all of Computer Science. What does it mean? And why is it so interesting?  Oh, and for extra credit, please post a proof of the statement's truth or falsehood. :) Compare given date with today How to select the rows with maximum values in each group with dplyr? How to expand the ext4 primary partition size in a VMware Player virtual disk? I have a VMware Player virtual machine setup, running Ubuntu 10.04 as the a guest OS.  The VM was created on a 20GB virtual drive, with a single partition for working space. Finally I got to the point where I need to expand the size of the virtual drive. Resizing the drive itself, adding some 10GB, was easy via the VMware Player menus. I now need to resize the main partition itself (I prefer this over creating a separate partition and mounting it).  According to GParted, I now have the following partitions:    My question is, how can I increase the size of the Filesystem partition to include the free 10GB?  From information I found online, it looks like one limitation is the fact that he swap partition is immediately adjacent to the filesystem, so my understanding is that first thing would be to move that partition to the end of the volume. How can this be done?  Also, some sources suggest that the system should be booted from a LiveCD, so the filesystem is not the boot partition, and thus make it easier to resize. As mentioned above, I run a VM, so I am not sure how to boot it from a LiveCD. Any ideas? How to differentiate formally? What is the right way to apply an image texture over a glass or plastic material? I am trying to put a label over the transparent plastic bottle, but i was unable to do so, because when i build the bottle material(plastic) and mix it with the diffuse shader(using the label texture), the label gets faded. So the solution i found was to duplicate the bottle and scale a little bit and apply the label material on it. So it looks its the same material, but in reality its one material over the other. How can I make my plastic material be under my label material(image)? Here's how it looks:   Here's my material setting for the plastic bottle:   Thanks in advance. SQL query to convert columns into rows Why can´t we assign a new string to an char array, but to a pointer? Is it legal to develop a game using D&D rules? For a while now I've been thinking about trying my hand at creating a game similar in spirit and execution to Baldur's Gate, Icewind Dale and offshoots. I'd rather not face the full bulk of work in implementing my own RPG system - I'd like to use D&amp;D rules.  Now, reading about the subject it seems there is something called "The License" which allows a company to brand a game as D&amp;D. This license seems to be exclusive, and let's just say I don't have the money to buy it :p.  Is it still legal for me to implement and release such a game? Commercially or open-source? I'm not sure exactly which edition would fit the best, but since Baldur's Gate is based of 2nd edition, could I go ahead an implement that?  in short: what are the issues concerning licensing and publishing when it comes to D&amp;D?  Also: Didn't see any similar question... Is there an easy way to show which spheres can be Lie groups? I was looking at the task manager in Windows 10 and for the first time noticed a secondary dashed line below the solid? What does this line indicate? Proof that the One-Dimensional Simple Harmonic Oscillator is Non-Degenerate? 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What is the best way to make bold math symbols, in particular Greek letters and \nabla? apt-get stuck at 0 [Connecting to us.archive.ubuntu.com]