I want to create a sports simulation game, something along the lines of Championship Manager (if you're not familiar, you can check out ). It's essentially a 2D game with top-down view, with the exception that the ball seems to behave as if it was 3D.  Given that the game is almost entirely 2D and only the ball is 3D, is there a good way to deal with that without making an entirely 3D game just because of the ball? Can the ball be hooked into a 3D physics engine, the rest to a 2D engine and somehow reconcile the two, then when rendering, just make the ball grow the higher it goes and show a shadow, or something along those lines?
A 2D game called Deer Hunter has projectiles like this:    Are the projectiles 2D or 3D models? How could I implement something similar?
I own a Panasonic DMC-G81 (same as G80/G85) with in-body Image Stabilization.  When turned on everything is just fine, but when turned off, the sensor is wobbling around in the body. When no lens attached, it's clearly visible moving about 1/2 cm in the body. I didn't find anything about it in the internet. Shouldn't the sensor be in a kind of parking position, should I worry about the sensor ?  I'm not sure if that is the usual behavior, maybe someone with the same or similar body can have a look. Removing elements with Array.map in JavaScript How to render text pixel-perfectly with subpixel antialising with Illustrator? How do I calculate the resistor value for a simple LED circuit? How to make a Copper/Rose Gold smudge material? Please tutor the usage of patchcmd and xpatch I understand that the  package provides a command \patchcommand that can be used to add material at the beginning and/or end of the replacement text of an existing macro. It works for macros with any number of normal arguments but has limitations for macros with optional arguments.   was introduced to take care of the above limitations as well as provide some additional functionality.   Now, when I try to comprehend the usage of the above packages by reading the user documentations (, ), I get the feeling that they move to implementation details a little too quickly compared to other package documentations. There are not enough explanations or examples.  I also tried to grasp the concepts by reading the  and more or less understood whatever is presented there. However, that is not enough.  So, do you think we can ask for a complete tutorial on the usage of patchcmd and xpatch? Explaining the usage of the relevant commands like \patchcmd, \pretocmd and \apptocmd as well as, \xpatchcmd, \xpretocmd and \xapptocmd with sufficient examples should suffice. Automate fixes for issues found by Sonar Why does "unisex" mean both sexes? There are some places where men and women are segregated — for example public toilets and public swimming pool changing areas.  By this I mean, for example, that there are "Men's toilets" and "Ladies' toilets".  However, in some more cosmopolitan swimming baths, and other places, there are such things as unisex changing areas, or unisex toilets.  From my understanding uni- implies one, as in universe, unilateral or unicycle.  However when it comes to unisex, this means both sexes, so applies to two things.  How does uni- mean one in unisex? Does it mean one? Can I use film that's 20+ years old? Unable to mount ISO in write mode package makeidx: print first letter for each group of keys I've created index with makeidx package. It works. What really need is to print the first letter above every group of keys (i.e. referring to the image I want to print the red letter, that I have manually inserted). In the following method definitions, what does the * and ** do for param2?  def foo(param1, *param2): def bar(param1, **param2): How to get coloured terminal over ssh? When I connect over ssh to remote hosts everything is just a single font/color. I would like to have colours like I do locally e.g. green for executable and blue for symlinks etc. And such that when I run $ git diff on the ssh host it shows me diff with colours =) What is $\int_{-\pi}^\pi \cos(nx)\cos(mx)\,dx$? calculation of $\int_{0}^{1}\tan^{-1}(1-x+x^2)dx$ Compute the definite integral   $$ \int_{0}^{1}\tan^{-1}(1-x+x^2)\,dx $$   Failed Attempt:  Let $1-x+x^2=t$. Then  $$ \begin{align} (2x-1)\,dx &amp;= dt\\ dx &amp;= \frac{1}{(2x-1)}dt \end{align} $$  Changing the limits of integration, we get  $$\int_{1}^{1}\tan^{-1}(t)\cdot \frac{1}{(2x-1)}dt = \int_{1}^{1}\tan^{-1}(t)\cdot f(t)dt = 0 $$  where $f(t)=\frac{1}{(2x-1)}$.  Is it true that $\int_{a}^{a}f(x)dx = 0$? If not, then where have I made a mistake in my attempted solution? I've sometimes seen this construct, used to avoid repetitive handwriting, but I don't even know if it's proper English.  If it is, what is the name of this construct? I have no idea what to search for when looking it up...        Don't forget to buy eggs.   &emsp;"&emsp;&emsp;      "&emsp;&emsp;"&emsp;"&emsp;yogurt.   &emsp;"&emsp;&emsp;      "&emsp;&emsp;"&emsp;"&emsp;milk. This is an exercise in some textbooks.     Let $E$ be an algebraic extension of $F$. Suppose $R$ is ring that contains $F$ and is contained in $E$. Prove that $R$ is a field.   The trouble is really with the inverse of $r$, where $r\in R$. How to prove that $r^{-1}\in R$, in apparent lack of a characterization of $R$.  It occurred to me to use the smallest field containing $R$ ($R$ is easily shown to be an integral domain), that's the field of quotients, and proving that it's $R$ itself, but I don't really know how to proceed.  A not-too-weak, not-too-strong hint will be much appreciated.   Beware $ $ Readers seeking only hints should  beware that there is now a complete answer. I'm a beginner at photography and own a Canon 20D with two lens; a 50mm prime and a 17mm-85mm zoom.  I've purchases all my filters at 67mm to fit my zoom lens and use a  to use them with my prime lens.  I'm looking at buying a . My question is, will the same principal work? Can I buy a 67mm wide angle lens and use it on my 52mm prime without any trouble.  One of the reasons for the purchase of a wide angle is my cropped sensor makes the 50mm prime rather close - I'm hoping the wide angle will make it easier to capture more.  Many thanks for any help in advance. Pete Why can I see the output of background processes? For example, when I type ping 8.8.8.8 &amp;, why can we see ping process working? And when I type find / -name '*test*' &amp; , it's also seen on monitor.  Why is that? Is it not really in background? I use a dual monitor.  The colors appear entirely different on the new monitor than they do on my laptop.  When you are selecting colors etc, to be included in a website design, it totally freaks me out.  Is there no software solution that finds how the settings of one of the monitor is and puts that to the second one?  Otherwise what all settings do I need to change manually on the second monitor to make it appear as it does on the laptop?  Thanks in advance.