Shortcut for input source change on MacOS Mojave I have been using Shift+Space for input source change. MacOS Mojave, however, doesn't allow it. The default shortcut is Ctrl+Space and optionally Capslock. I can customize the shortcut except for Shift+Space.  Am I missing something? Please advise.
What's the keyboard shortcut for keyboard layout switch in Mojave? Shift + Control + Space doesn't seem to work anymore.
Copy file geodatabase using Python? I am trying to copy fgdb from one path to another using Python.  copy(base.gdb,dest)   And got the message:  Error Info:  [Errno 13] Permission denied:   How to fix it? $F$ is a finite field of order $q$. What is the size of $\operatorname{GL}_n(F)$ ?  I am reading Dummit and Foote "Abstract Algebra".  The following formula is given:  $(q^n - 1)(q^n - q)\cdots(q^n - q^{n-1})$.  The case for $n = 1$ is trivial.  I understand that for $n = 2$  the first row of the matrix can be any ordered pair of field elements except for $0,0$. and the second row can be any ordered pair of field elements that is not a multiple of the first row.  So for $n = 2$  there are $(q^n - 1)(q^n - q)$ invertible matrices.  For $n\geq 3$, I cannot seem to understand why  the formula works.  I have looked at Sloane's OEIS A002884.  I have also constructed and stared at a list of all $168$ $3\times 3$ invertible matrices over $GF(2)$.  I would most appreciate a concrete and detailed explanation of how say $(2^3 - 1)(2^3 - 2)(2^3 - 2^2)$ counts these $168$ matrices. Hypothetical party:  1st level human wizard (PC) 3x guard NPC 1x acolyte NPC    This is the player's first time, and it's a solo campaign. The first mini-adventure involves recovering the cargo of a supply caravan that didn't make it to her magic academy due to bandit hijacking (as a sort of graduate-test). The guards and healer are on contract from the school to assist her. The acolyte is essentially just to hang back and tend to wounds and probably won't engage in combat unless someone goes down or the PC is seriously wounded.  So, with that "party" makeup, how do I determine the XP budget for a "medium" or "hard" encounter since there's no clear CR->level mapping in 5e for those NPCs (who will certainly factor into any combat as meatshields and melee damage)? I was thinking about reverse-engineering them as crumby lvl2 fighters (given the 2 HD worth of HP they have), but they certainly aren't on par with a lvl2 fighter, given the lack of action surge, second wind, etc., so the encounters would end up being too hard compared to PCs or DMPCs.   Could they be lvl1-equivalents, essentially trading any abilities a PC would have for extra HP? How would this work at later levels with higher CR NPCs (veteran, priest, mage, etc.)? I'd rather not have to build a bunch of DMPCs as hirelings, because I want the NPCs to be a bit vanilla compared to the versatility of my player. I'm already introducing 1-2 DMPCs to the game for her to take control over as she gets a feel for the flow of the game (for now, she'll handle them out of combat, and I'll effectively show her how to utilize them until she's ready).     Just to be clear, I'm comfortable with the monster-generation rules for crafting NPCs as enemies to determine their CR, but I'm confused on how to use them in the adventuring party when budgeting encounter difficulty XP. How big is my single pattern in Photoshop I pulled a repeating pattern from someone else's PSD. Is there a way to figure out the size of the original pattern? I need to create an image with only one tile. Can I see images and watch movies inside the terminal emulator Change array key without changing order How do I restore iPhone 6s stuck on connect to iTunes screen/Apple logo I'm not really sure how, but after I woke up today, my phone was just displaying the loading spinner and doesn't start up anymore. It's weird because my phone turned off last night and suspecting that it was probably out of charge, I thought charging it overnight would fix the problem.   So, my iPhone is currently stuck on the iTunes/Apple Logo loop. When I put it into DFU/Recovery Mode and connect it to iTunes, it isn't able to restore it. It keeps throwing "Network Connection Problems" -- it downloads iOS 10 for a bit and suddenly stops downloading, throwing the error. I've also tried downloading a custom .ipsw from  but it seems that the file is corrupted whenever iTunes tries to unpack it.   Any thoughts on how I could go about fixing this?   Note - I don't have a jailbroken iPhone. POSTFIX main.cf permission denied I am trying to set up a postfix server for smtp relay. Centos 5.5  I have followed  but am getting a FAILED error when trying to restart or reload postfix.  When I do:  cat maillog   I get:  fatal: open /etc/postfix/main.cf: Permission denied   Here is what I have tried:  chown postfix /etc/postfix/main.cf chmod u+rwx /etc/postfix/main.cf   After that, I do:  ls -l /etc/postfix/main.cf   Which gives me:  -rwx------. 1 postfix anotheruser 27531 Apf 29 12:19 /etc/postfix/main.cf   No dice. Same error. I even tried temporarily doing chmod 777 but got same error.  Any ideas on the permissions problem? I am assuming it is running the service as the postfix user.  Thanks What would be the material or shaders node set up for a smooth gem in blender cycles engine?  I want a result similar to this image: Age and Graduate school Please see the following image, where you can find the inconsistency of SO reputation score among different flair themes (one with 7165, while all other three 7265).   I always thought that these four themes are based on the same data until now. Is this a bug? Are different flair themes really updated individually?    P.S.: The inconsistency only shows on my mobile, no problem from my desktop. Complete Statistic: Uniform distribution Take a random sample $X_1, X_2,\ldots X_n$ from the distribution $f(x;\theta)=1/\theta$ for $0\le x\le  \theta$.  I need to show that $Y=\max(X_1,X_2,...,X_n)$ is complete.  Now, I know I should multiply the sample distribution of $Y$ and multiply it with a function of $Y$, then integrate over the range of $\theta$ and equate them to zero. But how do I get the sampling distribution of $Y$? Show that $\lim _{r \to 0} \|T_rf−f\|_{L_p} =0.$ I am having a hard time with the following real analysis qual problem.  Any help would be awesome.  Suppose that $f \in L^p(\mathbb{R})$, where $1\leq p&lt; + \infty$. Let $T_r(f)(t)=f(t−r)$. Show that $\lim_{r \to 0} \|T_rf−f\|_{L_p} =0$, that is $$ \lim_{r\to 0} \left( \int_{\mathbb R} |f(t-r) - f(t)|^p \mathrm d t\right)^{1/p} =0.$$ Bread and butter is/are my breakfast? Bread and butter (is or are) my breakfast?  And what's the difference between the above sentence and saying "My breakfast is bread and butter"?  Thanks. What is the difference between a "proof by contradiction" and "proving the contrapositive"? Intuitive, it feels like doing the exact same thing. And when I compare an exercise, one person proves by contradiction, and the other proves the contrapositive, the proofs look almost exactly the same.  For example, say I want to prove: $P \implies Q$ When I want to prove by contradiction, I would say assume this is not true. Assume $Q$ is not true, and $P$ is true. Blabla, but this implies $P$ is not true, which is a contradiction.  When I want to prove the contrapositive, I say. Assume $Q$ is not true. Blabla, this implies $P$ is not true.  The only difference in the proof is that I assume $P$ is true in the beginning, when I want to prove by contradiction. But this feels almost redundant, as in the end I always get that this is not true. The only other way that I could get a contradiction is by proving that $Q$ is true. But this would be the exact same things as a direct proof.   Can somebody enlighten me a little bit here ? For example: Are there proofs that can be proven by contradiction but not proven by proving the contrapositve? How to Store Fresh Herbs Evaluate $\int_0^1 \frac{\log \left( 1+x^{2+\sqrt{3}}\right)}{1+x}\mathrm dx$ I am trying to find a closed form for  $$\int_0^1 \frac{\log \left( 1+x^{2+\sqrt{3}}\right)}{1+x}\mathrm dx = 0.094561677526995723016 \cdots$$  It seems that the answer is $$\frac{\pi^2}{12}\left( 1-\sqrt{3}\right)+\log(2) \log \left(1+\sqrt{3} \right)$$  Mathematica is unable to give a closed form for the indefinite integral.  How can we prove this result? Please help me.  EDIT  Apart from this result, the following equalities are also known to exist: $$\begin{align*} \int_0^1 \frac{\log \left( 1+x^{4+\sqrt{15}}\right)}{1+x}\mathrm dx &amp;=\frac{\pi^2}{12} \left( 2-\sqrt{15}\right)+\log \left( \frac{1+\sqrt{5}}{2}\right)\log \left(2+\sqrt{3} \right) \\ &amp;\quad +\log(2)\log\left( \sqrt{3}+\sqrt{5}\right) \\ \int_0^1 \frac{\log \left( 1+x^{6+\sqrt{35}}\right)}{1+x}\mathrm dx &amp;= \frac{\pi^2}{12} \left( 3-\sqrt{35}\right)+\log \left(\frac{1+\sqrt{5}}{2} \right)\log \left(8+3\sqrt{7} \right) \\ &amp;\quad +\log(2) \log \left( \sqrt{5}+\sqrt{7}\right) \end{align*}$$  Please take a look . Play WAV file backward How to control RAM / swap usage Is there a way (application) to control RAM / swap usage policy at application level.  I have some applications that I use all the time and I want them to stay in RAM all the time and there are also application that I use quite seldom and they might be thrown to swap at demand. I know that default configured windows should give me best performance but I want to check whether I can get more :).  I use windows 7. Finding the nth non square free number We all know what  numbers are. I was more interested in checking an efficient way to find nth non square free number.