I'm wondering about the following:  I'd like to create isometric sprites for a game that I'm currently developing.  Rather than asking an artist to draw numerous sprites (which will be quite costly), I'd prefer to purchase a 3d model, for a platform such as Blender or 3DS Max, in order to render these models at different angles in an isometric perspective.  Depending on the level of detail, for each angle (0-359 degrees), I would need a sprite. Is there a specific script or feature available in either Blender, 3DS Max or a similar tool, that would suit my purpose?  Thanks a heap!
I want to generate sprite-sheets for an isometric projection of various 3d assets purchased from the Unity3D asset store. I'd preferably also render the normal maps. I am a programmer, but new to 3D modeling software (Blender, etc.)  I found two tools for this;  and , but neither supports enough formats to be worth their cost.  There must be an efficient way of isometrically rendering various animations of a 3d assets in Blender&mdash;but I don't know how. How can I do this?
How to debug suspend? Circular polarizing filter - slim or regular? I have a Canon EOS 550D. Right now I only have some standard lenses, and I'm looking to buy a Tokina AT-X 116 Pro DX II 11-16mm F/2.8. (I love landscape photography and photography in nature in general.) I want to try using a circular polarizing filter, and I've been looking at the Hoya Filter Circ Pol DMC Pro1 77mm. I can see that the "slim" version is cheaper than the regular one, however, I'm not sure what the difference is. Can any of you tell me which would one be preferable for landscape photography? (I found a thread posted about this some years ago but I would like to hear what you guys think, knowing what camera, lens and filter I'm thinking about combining.)  All feedback would be very much appreciated! :-) A map $f:S^n\rightarrow S^n$ satisfying $f(x)=f(-x)$ for all $x\in S^n$ is said to be an even map. Show that if $f:S^n\rightarrow S^n$ is an even map, then $\deg f=0$ when $n$ is even and $\deg f$ is even when $n$ is odd. Moreover show that when $n$ is odd, there exist even maps of any given even degree.   My Try:  So $f=(-I)\circ f$. Then $\deg f=\deg (-I)\times \deg f$. If $n$ is even $\deg (-I)=-1$. Hence, $2\deg f=0$, so $\deg f=0$. But how do I show the results when $n$ is odd. No clue at all. This problem is in Hatchers book (A very complicated text). There is a hint but I do not understand it. Can somebody help me to proceed? How can I list all user names and/or home directories? I want to list all the users dirs on the machine.Usually, I will do:  ls -l /home   But I use it in a script that will be deployed on others machines and maybe on that machines they don't call it home (e.g. myHome). So I want to generalize it to ls -l ~. But it just lists my users home dirs instead of all users home dirs name (basically I want to get a list of the users names on the machine). How can I generalize it? After the death of Lord Voldemort, Harry was taken to the Dursleys and became known as "The Boy Who Lived".  We know that the Wizarding World found out  that Voldemort was dead and undoubtedly it was Dumbledore that advised people that Harry had somehow survived the attack and caused Voldemort's death. According to Snape (in HP:HBP) there were even persistent rumours that Harry was a powerful Dark Wizard in the making until he turned up at Hogwarts a decade later.  My question is : Where did the Wizarding World think Harry was for the intervening 10 years? Power set of a finite set is finite proof, no cardinality of power set Prove that $\mathcal{P}(A)$ of a finite set $A$ is finite.      I need to prove this without using the cardinality of $\mathcal{P}(A)$.  This is my attempt, which is by induction: $\newcommand{\lbrac}[1]{\left(#1\right)}$ $\newcommand{\sett}[1]{\left\{#1\right\}}$ $\newcommand{\pset}[1]{\mathcal{P}\lbrac{#1}}$ Proof by induction over cardinality.  If $A = \varnothing$, then $\pset{A} = \sett{\varnothing}$, which is finite.  Suppose that for a set $A$ of cardinality $n$, $\pset{A}$ is finite.  Let $A$ be a set of cardinality $n+1$. $A$ is not empty, since it is of cardinality $n+1 &gt; 0$, and therefore pick some $x\in A$. It follows that $A = \lbrac{A-\sett{x}}\cup\sett{x}$. We claim that $$ \pset{A} = \pset{\lbrac{A - \sett{x}}\cup\sett{x}} = \pset{A - \sett{x}}\cup\sett{C | C\in\pset{A}\wedge x\in C} $$ Suppose $B\in\pset{A} = \pset{\lbrac{A-\sett{x}}\cup{x}}$. Then either $x\in B$ or $x\not\in B$. If $x\in B$, then $x\in B \wedge B\in\pset{A}\Rightarrow B\in C$. If $x\not\in B$ then $B\subseteq A - \sett{x}$.  \newline Either way, $B\in \pset{A - \sett{x}}\cup\sett{C | C\in\pset{A}\wedge x\in C}\Rightarrow \pset{A}\subseteq\pset{A - \sett{x}}\cup\sett{C | C\in\pset{A}\wedge x\in C}$.  Suppose $B\in\pset{A - \sett{x}}\cup\sett{C | C\in\pset{A}\wedge x\in C}$. Then either $B\in\pset{A-\sett{x}}$ or $B\in\sett{C | C\in\pset{A}\wedge x\in C}$ (or both).  If $B\in\pset{A-\sett{x}}$, then $B\subseteq(A-\sett{x})\cup\sett{x} = A$, and if $B\in\sett{C | C\in\pset{A}\wedge x\in C}$, then by definition, $B\subseteq A$. Either way, we get that $B\in\pset{A} \Rightarrow \pset{A - \sett{x}}\cup\sett{C | C\in\pset{A}\wedge x\in C} \subseteq \pset{A}$.  Since we have shown both sets are contained in each other, they are equal.  My goal is to now prove that $\sett{C|C\in\pset{A} \wedge x\in C}$ is finite. I didn't manage to do so without non rigorous claims that could also "prove" the main question.  If this set is finite, and by induction hypothesis $\pset{A - \sett{x}}$ is finite, I'll be done.  Any ideas on how to prove $\sett{C|C\in\pset{A} \wedge x\in C}$ is finite? Why does Python's itertools.cycle need to create a copy of the iterable? Expanding GCDs Reasoning: $\gcd(a,c) \cdot \gcd(b,c) = \gcd(ab,bc,ac,cc)$ I'm just wondering the reason behind being able to do this:  $$\gcd(a,c) \cdot \gcd(b,c) = \gcd(ab,bc,ac,cc)$$  Is there an elementary proof to the reasoning behind this? How should I structure my URLs for both SEO and localization? What is the difference between test set and validation set? How to remove GNOME Shell from Ubuntu 20.04 LTS to install other desktop environment from scratch? Prove $-(-a)=a$ using only ordered field axioms Are smaller p-values more convincing? Calculate probability (area) under the overlapping area of two normal distributions How to read command line arguments of another process in C#? Any Video formats that render with Alpha Channel? Does anyone know if there are any video formats (besides the HUGE uncompressed avis) that you can render in that maintain the alpha channel? (i.e. for after FX etc.)   I used to use quicktime, but that's no longer an option.  I know you can render in png. or other image formats, but video is significantly smaller, and I often work on machines with less space &amp; resources. Span class in opennlp is not working Is there a way to get new dwellers with higher than normal stats? Dealing with splits in my ground plane Whenever I'm making a cheap, 2-sided PCB, I run into this problem:    Where I have signal lines (on the top layer here) running over top of a big fat power trace (on the bottom layer).  Now, this is obviously terrible because there is no good return path on the bottom side.  For issues like this, Hott consultants has a good recommendation:    However, I wonder if a solution like the one below is also acceptable.    My intuition tells me yes, this solution is ok.  Over the break in the ground plane, the current will hop over the vias and then back down to the lower plane.  Some back of the envelope math tells me that this adds a trivial amount to the loop area, and therefore a trivial amount to the return impedance.  Can someone tell me...   How right / wrong my intuition is here about using vias? If my intuition is wrong, why? Also, if my intuition is wrong, what is the correct solution in this sort of situation (2 layer, with power traces under signal)?   For the record, these particular signal lines aren't terribly fast (500 kHz), but I would like to know how to deal with this situation when I have signals in the 5 - 10 MHz range.  Edit  Below is a screenshot of about 60% of the board.  Maybe it will help with the critique How do I get attention for old, unfixed bug reports and feature requests without official responses here on Meta? I posted a question here on Meta Stack Exchange, or on a per-site meta, regarding a bug I found in the system. I got no comments, or a few comments stating that this is a legitimate bug (and not by design). However, it's been quite a long time, and no official response was ever posted there.  Or, I had an idea for a new feature, but realized it's already requested, either by searching or posting a request myself only to have it closed as a duplicate of the existing one. It's been a while since the original request was filed, but no official response has been made.   I'm aware that staff members are , but either my post isn't about one of the indicated topic areas for which they're accepting escalation requests for that month, or I already flagged to request escalation but it was declined, so the instructions there don't apply for my post.  What can I do to draw attention to meta questions for the SE team, so they can give an official response, and possibly implement the bug fix or feature?  Note: This is different from other general questions which ask for how to get attention for unanswered questions, since the procedures on meta sites are different, and getting an official response isn't necessarily the same as getting a good answer.