Learning Undergrad Physics
Book recommendations
Is there a limit to Rule 0? Rule Zero: All other rules can be changed by the GM.   I appreciate that there is a massive amount of work that goes into being a GM and the last thing that any GM wants or deserves is to have his players constantly questioning everything they do. However, a group I am currently playing with has been having a huge problem with a GM who has been using rule 0 to deny virtually every skill check and give all his custom enemies powers that have either no save or unbeatable DCs. Then, whenever he realizes he has made the fight unwinnable he brings in one of his level 60+ GMPCs to instantly win the fight, making us feel even more helpless.  We try to hold our tongues and not be the dreaded Rules Lawyer, but he keeps pulling out stuff so ridiculous that we have to question it… and every time we do we find that he is either misunderstanding or completely disregarding the rules. When this happens he always jumps immediately to rule 0. He probably cited rule 0 around 6 times in our last session (and we only had one combat encounter). Whole disk unallocated? Gparted error or partition overlapping? What does Morgoth look like? Is Morgoth, the original enemy in J. R. R. Tolkien's Middle-earth ever visually described? I envisage him as a bigger, meaner version of the physical Sauron, but I cannot find any reference in The Simarillion. Which objects can I use in a finalizer method? Android Min SDK Version vs. Target SDK Version I've taken up self-study of math. (How smart can that be?) I've just about finished a course in real analysis which spent a lot of time on metric spaces and some time revisiting calculus.  I was thinking of trying abstract algebra. I would appreciate any book recommendations.  Thanks in advance.  Andrew primitive n-th roots of unity Show that the primitive n-th roots of unity have the form $e^{2ki\pi/n}$ for $k,n$ coprime for $0\leq k\leq n$.  Since all primitive n-th roots of unity are n-th roots of unity by definition they all have that form, the question is, how to show $k$ and $n$ are coprime. How do I create bookmarks with pdfLaTeX? I'm using MiKTeX and using pdfLaTeX. I can generate the PDF, but there are no bookmarks. In the .tex-file it is using:  \chapter \section \subsection   (with labels)  I originally used make with sphinx to output LaTeX. It must work somewhat or I wouldn't get the PDF. When I say bookmarks, I mean when you are in Acrobat and the left side has the Bookmarks panel.  I am reading   But I am not sure where to apply this.  EDIT:  I applied this, \usepackage{bookmark}, and got bookmarks, but I never get the subsection bookmarks. How to search a string in the list of answers added by me on Stack Overflow? I am able to view all the answers given by me and questions asked by me, but not able to search a string in them?  Currently I have no other choice than clicking each ques/ans link manually (very hectic) ? Currently questions are added in a rapid pace to SO, so that new questions disappear very quickly from the homepage. It I want to see questions from my areas of interest I can do either:   Go to the tagged/my tags page, but then I will see the questions only according to the votes Supply a list of tags "x or y or z", but it seems the list is limited to 15 or 20 tags.   What I suggest is to have categories as grouping of tags - the .net category , java category , web development category , etc. It can also help new users to locate questions from their area of expertise they can answer. We can decide that a category can contain between 5 and 20  tags in order no to have too narrow or too broad categories (numbers were given just for the sake of argument) Why shift-cmd-n fails as a custom shortcut for Firefox "New Private Window"? I created the shiftcommandn shortcut for Firefox in Syst Prefs to match other browsers' behavior.     It registers in the Firefox Menubar.     But pressing the shortcut opens a new non-private window, and it loads there the first item in my "Top Sites".   I imagine I could create another shortcut to override this behavior, but what is this behavior? I don't see anything highlighted in the Firefox Menubar when I hit the shortcut. Or might there be another solution (other than using a different shortcut to open new private windows)?   Problem exists on both Mojave and High Sierra. Default Firefox shortcut (shiftcommandp) still opens a new private window. Entire function with vanishing derivatives? Let $f:\mathbb{C}\rightarrow\mathbb{C}$ be an entire function. And assume that at each point, one of it's derivatives vanishes.  What can you say about $f$?  A hint suggests that $f$ must be a polynomial. Not sure how to make tables, but:  For a binary operation $*$, and set $\{e,a,b,c\}$, in the Cayley table, $a*a$ can be filled with either the identity or an element different from both $e$ and $a$. If in the table the place for $a*a$ is filled with $e$, then the rest of the table can be filled out in two different ways.  What are the two different ways?  Thanks Is there a term for a word that serves as its own antonym? For example:   &quot;transparent&quot; can mean both &quot;obvious&quot; and &quot;hidden&quot;  &quot;aught&quot; can mean both &quot;all&quot; and &quot;nothing&quot;    Is there a term for a word which has multiple definitions that are antonyms? Plurals of acronyms, letters, numbers — use an apostrophe or not? Why does the new review page sometimes shows questions to vote to close without anybody having voted to close it? I was reviewing  for , and noticed that nobody voted to close it, even though the page reports a duplicate.      Why does this happen? Capitalize fields of study? Do I say "I study computer science," or "I study Computer Science"? Similarly, "I really liked that computer science course," vs. "I really liked that Computer Science course." "going to" definition, does it imply intent? I have had a debate with one of my friends about this little game:  "1 rabbit saw 9 elephants while going to the river. Every elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise in each hand. How many animals are going to the river?"  Answers:   4 - if you could rabbit and monkeys (which are described as "going to" the river)  10 - if you are counting tortoises in monkeys' hands 19 - if you assume all   my argument is that the tortoises are not "going to", but are being either "taken to" or "move towards" river. That's what I would say if someone holds me and goes to the river.  my friend's argument is that because they move towards the river, they are "going to" the river. he gave example of me being in the car.  Me: If I don't intend to go there, I'm being "taken to", even if in the car.  Question: does "going to" implies intent of the subject ? Show that the determinant of $A$ is equal to the product of its eigenvalues Show that the determinant of a matrix $A$ is equal to the product of its eigenvalues $\lambda_i$.   So I'm having a tough time figuring this one out. I know that I have to work with the characteristic polynomial of the matrix $\det(A-\lambda I)$. But, when considering an $n \times n$ matrix, I do not know how to work out the proof. Should I just use the determinant formula for any $n \times n$ matrix? I'm guessing not, because that is quite complicated. Any insights would be great. Most efficient way to test equality of lambda expressions