Part title in TOC only
How to add \part only to TOC?
Similar matrices and minimal polynomial Why upload rates are lower than download rates in normal internet connections? What is the difference between image size and image quality? I have a Casio EX-S12. It has a setting for image size, but also a separate setting for what it calls "image quality". There are three image quality values: "Fine", "Normal", and "Economy".  The Casio manual is not clear on what image "quality" actually means -- specifically how it's different from image size. All they say is that the "Fine" setting "helps to bring out details when shooting a finely detailed image of nature that includes dense tree branches or leaves, or an image of a complex pattern." I'm confused because isn't this what image size is all about (more pixels = more detail)?  In terms of memory usage, the manual also says that for a 5 megapixel picture, a "Fine" image takes up 2.99 MB, a "Normal" image takes up 1.62 MB, and an "Economy" image takes up 1.12 MB, so this "image quality" setting of theirs is certainly having a significant impact on memory usage.  My question is, what exactly is "image quality", if it's not image size? What is the "thing" that is taking up additional memory?  Thank you. What is the datatype of facebook userid I left my cast iron pot on the gas stove, on high flame, and then forgot about it for 3 hours. It was empty and I was drying it before I oiled it to store it. After I discovered it and let it cool, I oiled it with a paper towel and all this rusty stuff came off and continues to come off. Is my pan ruined? What should I do? In C#, should I use string.Empty or String.Empty or "" to intitialize a string? In C#, I want to initialize a string value with an empty string.  How should I do this?  What is the right way, and why?  string willi = string.Empty;   or  string willi = String.Empty;   or  string willi = "";   or what? Road Front Derailleur / Shifter Tuning I've recently converted into 2spd crankset so I've bought a new 2spd road lever. I'm really struggling now to tune the front derailleur. Could you please assist me by answering this questions:   Why the shifter does 2 clicks instead of 1 when you go up? Is that normal? It's 2spd shifter isn't it supposed to have only 1 click? And at the same time ... When I do one click up with the shifter the derailleur moves but always seems like not far enough so I need go up for another click, which leads to ... When I try to go down the gears and I release the shifter that was clicked 2 times it goes all 2 click at once and the derailleur makes this ugly very loud clutch back to the first gear. It doesn't sound right at all.   Can you tell me what am I doing wrong here? I guess I'm missing something very important here, but I don't know exactly what.  I watched bunch of youtube instructions on how to properly tune a front derailleur, but I still facing the same problem over and over again.  Thank you in advance, and please ask if the question is not clear enough. Can I connect to a sandbox using JWT Flow and Prod connect app? I'm trying to connect to a sandbox using the sfdx cli and the JWT flow through force:auth:jwt:grant. According to , we can use the same connected app information from Production to connect to our Scratch Org.  Is it something that should work for sandbox too ? I'm getting a "Failed: Not approved" error.  Connected app in sandbox comes from the refresh but has a different consumer key. The Permission set is set correctly on my user.  Is there a way to connect to a recently refreshed sandbox using the JWT flow (without manually changing something like the consumer key) ? I am trying to show $$\lim_{n\rightarrow \infty} \int_{[0,1]^n} \frac{|x|}{\sqrt{n}}dx=\frac{1}{\sqrt{3}}$$ where $[0,1]^n$ is the unit cube in $\mathbb{R}^n$. I would appreciate any hint. Can I still command/control concentration spells while in the Border Ethereal? If I have cast something like Animated Objects or Bigby's Hand and then follow up the next round with casting Etherealness, can I still command/control those spells? Vectorization operator Is "89.9%" singular or plural? The user who first created a tag wiki is treated as owner for suggested edits was declined by the user who created the tag wiki excerpt, who doesn't yet have the reputation to be a trusted user. (The site is still in beta, and the reputation necessary to be a trusted user is 4000.)        Should the user who first proposed a tag wiki, or a tag wiki excerpt be the one who can unilaterally decide about a proposed edit for a tag wiki? The user who first proposed it isn't necessarily the one who knows if the tag's purpose can be better described with different words, nor does that user necessarily know if the tag has been lately used differently from how it was first used. Since a tag wiki is different from other posts, there should be an exception to the rule "the author of a post can unilaterally decide about any edits."  The paradox is then that the creator of a tag wiki still needs two users to approve their suggested edit. That's what happened in .        The funny fact is that in the revisions for the tag wiki, or tag excerpt (as in the screenshot), the tag wiki/excerpt is said to be created from the Community user.        This bug is  definitely . Change to default start folder for Windows command prompt My new Windows XP work computer's command prompt automatically brings up "H:\&gt;" when I open it.  Is there a way for me to change that safely?  Specifically, to "C:\foo\bar\Something Else"?  I found the method of changing the Autorun value through Google, but it came with a warning that it "might affect the functionality of batch scripts."  Bonus note: I was originally getting at this issue in , but I didn't ask very directly.  The answer I ended up accepting was really good, so I wanted to leave it there. When does a Möbius transformation map $\Im(z)>0$ to itself? Show Möbius transformation which maps $\Im(z)&gt;0$ to itself iff  $$ f(z)= \frac{az+b}{cz+d}\,,\,\,ad-bc&gt;0$$ and $a,b,c,d$ are real. Subscribing to questions and comments that don't belong to you There has been some discussion about getting notified on comments to questions or answers that don't belong to you, and the long-standing wish to be able to keep track of new answers or developments in questions asked by other people.  Previous discussion in regards to subscribing to questions:                  (very similar to this one)      In regards to subscribing to comments:                    The general feeling - at least here on meta - seems to be against broadening the notification rules, out of fears of useless notifications to flood users' inboxes, turning SO into more of a discussion forum than it should be, etc.   Here's a suggestion that would keep the user 100% in control what they get notified about, not generate any notifications by default, and require only minimal modifications to the User Interface.  Each question and each comment area would get an envelope symbol.    it is inactive (=white) by default.  When those envelopes are hovered over, the tooltip says click to subscribe or something.  When clicked on, the envelope lights up in green or some other colour (but different from the actual notification envelope's orange to avoid confusion.) You are then subscribed to any updates to that question or comment thread.    For each subscription, you receive notifications in the "responses" tab, as if you were the owner of the comment or question.     To unsubscribe from a question or comment thread, you open the page, and click the green envelope. It turns back white, and the notifications disappear from your responses tab (if technically possible - otherwise, there just won't be any new ones added.)    No further functionality, like managing subscriptions or anything, is necessary IMO. If the flood of notifications from a subscribed question starts to annoy you, you just open it and unclick the envelope. Done.   It would make it possible to leave a comment to a newbie's question and make sure their answer reaches you even if they don't know they need to address you using @username You could subscribe to those "oh, I'd like to know the answer to that" questions and receive active notification, instead of them getting forgotten in your favourites list You could subscribe to discussions you are interested in the outcome of, but don't want to participate in. It would (in my opinion) sort out a number of woes aired by many users in a good way, without adding annoyances to those who like the system just fine the way it is. It would not require a change in the visible layout. As far as I can see, the space the envelope would need to be is empty everywhere.   I don't know SO under the hood of course, but technically, the system would be doing what it's doing already, notify question owners of updates - just that the circle of internal "owners" would grow. How to find the roots of $x^4 +1$ I'm trying to find the roots of $x^4+1$. I've already found in this site solutions for polynomials like this $x^n+a$, where $a$ is a negative term. I don't remember how to solve an equation when $a$ is a positive term as the equation above.  Thanks What's the difference between the snap folder in /home/UserName and the snap folder in root (/)? Problem: Prove that $1^2+2^2+\cdots+n^2=\frac{n(n+1)(2n+1)}{6}$ for $n \in \mathbb{N}$.  My work: So I think I have to do a proof by induction and I just wanted some help editing my proof.  My attempt:  Let $P(n)=1^2+2^2+\cdots+n^2=\frac{n(n+1)(2n+1)}{6}$ for $n \in \mathbb{N}$.  Then $$P(1)=1^2=\frac{1(1+1)(2+1)}{6}$$ $$1=\frac{6}{6}.$$ So $P(1)$ is true.  Next suppose that $P(k)=1^2+2^2+\cdots+k^2=\frac{k(k+1)(2k+1)}{6}$ for $k \in \mathbb{N}$. Then adding $(k+1)^2$ to both sides of $P(k)$ we obtain the following: $$1^2+2^2+\cdots+k^2+(k+1)^2=\frac{k(k+1)(2k+1)}{6}+(k+1)^2$$ $$=\frac{2k^3+3k^2+k+6(k^2+2k+1)}{6}$$ $$=\frac{2k^3+9k^2+13k+6}{6}$$ $$=\frac{(k^2+3k+2)(2k+3)}{6}$$ $$=\frac{(k+1)(k+2)(2k+3)}{6}$$ $$=\frac{(k+1)((k+1)+1)(2(k+1)+1)}{6}$$ $$=P(k+1).$$ Thus $P(k)$ is true for $k \in \mathbb{N}$. Hence by mathematical induction, $1^2+2^2+\cdots+n^2=\frac{n(n+1)(2n+1)}{6}$ is true for $n \in \mathbb{N}$. How do I create an animated gif from still images (preferably with the command line)? I want make a .gif animated picture from a given set of .jpg pictures.  I would prefer to do it from the command line, so command line tools would be very welcome.