I'm about to level up in a fifth edition campaign and so far I'm a level 3 paladin. I'm thinking of multiclassing into a fighter instead of increasing my paladin level to 4. I am wanting to know, if I do multiclass into a fighter and not increase my paladin level, will I still get the +1 (to two) or +2 (to one) ability score improvement or not?
Given that every class gets a minimum of 5 ability score improvements each at levels 4, 8, 12, 16, and 19 (Rogue and Fighter get more at other levels), do these ability score improvements occur by character level or by class level?  For example, is it possible to create a character who never once gains a single ability score improvement by reaching level 3 in a class and then switching to a different class repeatedly?  I had originally thought the 5 that every class gets would occur by character level, so for example a sorcerer1/bard3 would earn an ability score improvement for reaching character level 4. But there are others who have expressed the opinion that this is wrong.
How is "I have come" + infinitive different from Present Perfect? Is it possible to disable the Super+ shortcuts that switch to apps in 12.04? Making overview with linked detailed maps in QGIS? What is the best way to store user settings for a .NET application? I have a .NET 2.0 Windows Forms application. Where is the best place the store user settings (considering Windows guidelines)?  Some people pointed to Application.LocalUserAppDataPath. However, that creates a folder structure like:     C:\Documents and Settings\user_name\Local Settings\Application   Data\company_name\product_name\product_version\   If I release version 1 of my application and store an XML file there, then release version 2, that would change to a different folder, right? I'd prefer to have a single folder, per user, to store settings, regardless of the application version. ­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­ Let $f:X \to Y$ be a homeomorphism between topological spaces $X$ and $Y$. Let $A \subseteq X$ and $B = f(A) \subseteq Y$ (given the subspace topology) and let $g: A \to B$ be the restriction of $f$ given by $g(a) = f(a)$ for $a \in A$.  Showing that $g$ is a homeomorphism.   $g$ injective   Let $g(a_1) = g(a_2)$, $a_1, a_2 \in A$.  $\implies f(a_1) = f(a_2)$  $\implies a_1 = a_2$ as $f$ homeomorphic.   g surjective   Let $y \in B$  $\implies y = f(a)$ for some $a \in A$.  $\implies y = g(a)$ for some $a \in A$.   $g$ continuous   Let $U \subseteq B$ be an open set in $B$.  $f(a) = g(a)$ for all $a \in A =&gt; f^{-1}(b) = g^{-1}(b)$ for all $b \in B$.  So $g^{-1}(U) = f^{-1}(U)$ which is open in $A$ as $f$ homeomorphic.   $g^{-1}$ continuous   Let $U \subseteq A$ be an open set in $A$.  $g(U) = f(U)$ which is open in $B$ as $f$ homeomorphic.  So $g$ is homeomorphic.  Is my understanding correct, this seems almost too straightforward so I was wondering have I overlooked something? Suppress Chrome 'Failed to load resource' messages in console Does Auto White-Balance Really Work? How? Does $E = mc^2$ apply to photons? Photons are massless, but if $m = 0$ and , then $E = 0c^2 = 0$. This would say that photons have no energy, which is not true.  However, given the formula $E = ℎf$, a photon does have energy as $ℎ$ is a non-zero constant and photons with a zero frequency do not exist.  What am I missing here, or does the famous formula not apply to photons? Is there a particle called a "tachyon" that can travel faster than light?  If so, would Einstein's relativity be wrong?  According to Einstein no particle can travel faster than light. Movie about gene therapy and genetics-based jobs I saw a movie several years ago and I have not been able to find it since.  It was about a dystopian society where parents could modify the genes of their children before birth.  Some individuals, including the protagonist, had not had this done, and so had a somewhat inferior genetic makeup.  Jobs are based on the results of genetic tests, and the protagonist, a male, was slated for a less than ideal job. In the movie, he fakes his identity and has major surgery to make him a little taller to match his ID. He is trying to get his dream job (astronaut?).  The only other parts I remember are   the protagonist, to keep up the ruse, managing to run on a treadmill faster than his  genetic limit a very suspicious character pulling the protagonist's DNA from a hair left in a comb Looking for a command to create the geometry line symbol (\overline with arrows on both ends) I need a way of encoding the geometry line symbol. $\overline{AB}$ gives me the line segment symbol and $\overrightarrow{AB}$ gives me the ray symbol, I need a way to get a bar over the letters that has arrows on both ends. $\overrightleftarrow{AB}$ does not work.   Thanks! Are delphi variables initialized with a value by default? I'm new to Delphi, and I've been running some tests to see what object variables and stack variables are initialized to by default:  TInstanceVariables = class   fBoolean: boolean; // always starts off as false   fInteger: integer; // always starts off as zero   fObject: TObject; // always starts off as nil end;   This is the behaviour I'm used to from other languages, but I'm wondering if it's safe to rely on it in Delphi?  For example, I'm wondering if it might depend on a compiler setting, or perhaps work differently on different machines.  Is it normal to rely on default initialized values for objects, or do you explicitly set all instance variables in the constructor?  As for stack (procedure-level) variables, my tests are showing that unitialized booleans are true, unitialized integers are 2129993264, and uninialized objects are just invalid pointers (i.e. not nil).  I'm guessing the norm is to always set procedure-level variables before accessing them? Troubleshoot High CPU usage by the "System" process I have noticed that from some time my system is freezing and its probably caused by the high CPU usage which is caused by the system process.  All applications I'm running is the Skype, TeamSpeak and Chrome so it definitely shouldnt eat that amount of CPU.  You can see the problem itself and running processes in the screenshot below:    Sometimes CPU usage is reaching 90%, but the average usage is like 40-65%.  My PC parameters:   Windows 8 (customer preview) Intel Core i3 - 2350M 8 GB RAM   I'd appreciate any help attempt! Regards.  --UPDATE--  As the user below posted a great answer, I have noticed that the process that is eating the most CPU in the system is called Arthurx.sys, simple google tells that it's a TPLink driver (an wifi adapter, I have bought like 2 weeks ago!) drivers has been installed from the Windows MSDN, but also tried to install the drivers from the attached CD, but it doesn't help. From the system start, it is using like 5% of the CPU only, but after 2-4 hours of working it is growing up and reaching 40-60% of the CPU usage.  Device name: TPLink WN722N Let's say I have a video running in an application.  If I hover my mouse over the taskbar, it shows a little popup windows that diplays the video  (aero peek).  Sometimes I'm running a maximized window and I want to have this little screen always popped up.  (Kind've like when your using the TV Guide menu, you still see a little clip of the video) Please add a spell checker to the Markdown editor It would be nice to see a built-in spell checker into the main text-panel for posts. Every time I post here or Stack&nbsp;Overflow I quickly open up Gmail, paste my post there, and use its spell checker to make sure I didn't make any stupid mistakes. I know other services have these types of features, and it would be nice to see Stack&nbsp;Overflow have one as well.  Agree/disagree?  (BTW, I found two small mistakes for this short post.)  I know I made a comment about this on ChrisF's answer, but I thought that I should also mention it here in the question. I know there are many third-party tools to add spell checker functionality to Stack&nbsp;Overflow. But some (if not many) people out there do not have these tools. They are either at work (like me), or some other place where they using a machine that is not owned by them, or they aren't power users and just don't have these tools installed.  If Stack&nbsp;Exchange becomes used for other non-technical sites, then you will probably have to count on the fact that people are using  or something just as bad. That's why it would just be nice to have a built-in spelling tool. Again, it may not be worth it, but I think it would be interesting to discuss it at least. Looking for a Simple Argument for "Integral Curve Starting at A Singular Point is Constant" Let $U$ be an open subset of $\mathbf R^n$ and $V:U\to\mathbf R^n$ be a differentiable vector field on $U$. Let $\mathbf p\in U$ be a singular point of $V$, that is, $V(\mathbf p)=\mathbf 0$.     Then the only integral curve which starts at $\mathbf p$ is the constant curve.   I know that one could simply use the theorem of "uniqueness of integral curves" and in fact adapt the same proof for this particular case.  But is anybody aware of a simple argument for this? How many characters have appeared in both Marvel and DC comics? The  (the character from Guardians of the Galaxy) says that she has appeared in both Marvel comics as Mantis and DC comics as Willow because her creator "took her with him".     After leaving Marvel Comics, writer Steve Englehart carried Mantis' tale through two other companies before returning to Marvel. In DC Comics' Justice League of America #142, she appears as Willow. Asked where she came from, Willow replies, "This one has come from a place she must not name, to reach a place no man must know." (Mantis refers to herself as "this one").   Are there any other examples of a character appearing in both Marvel and DC comics?  Especially if it's because the original creator has switched companies but still wants to utilize the same character, even under a different name? I am coding a small Python module composed of two parts:   some functions defining a public interface, an implementation class used by the above functions, but which is not meaningful outside the module.   At first, I decided to "hide" this implementation class by defining it inside the function using it, but this hampers readability and cannot be used if multiple functions reuse the same class.  So, in addition to comments and docstrings, is there a mechanism to mark a class as "private" or "internal"? I am aware of the underscore mechanism, but as I understand it it only applies to variables, function and methods name. I run into this infinite product today. I don't have that much experience evaluating products therefore I don't have any idea of how to tackle this.   Here is the question. Evaluate (if possible) in a closed form the product:  $$\Pi = \prod_{n=1}^{\infty} \frac{1}{1+\pi^{{\large \frac{1}{2^n}}}}$$  The numerical value seems to be $\Pi= 0.534523$ which is very close to $\frac{\pi}{6}$ taking into account that $\frac{\pi}{6} \approx 0.523598$. In the mean time W|A evaluates it to $0$. I'm lost.   Can the community help?  Edit: Based on the answer we have two products. The product I asked tends to zero and the bonus product provided by @you're in my eye (thanks for that) is $\frac{\ln \pi}{\pi-1}$.   Thanks for the quick response. Why can't pdflatex print EPS figures?