In his book Astrophysics for People in a Hurry, Neil de Grass Tyson starts of with the Big Bang and narrates on what (probably) happened within the first moments of our universe. He further states (p. 26)      By now, one second of time has passed. The universe has grown to a few light years across, about the distance from the Sun to its closest neighboring stars.   Q: Wouldn't this mean that by that means, the universe expanded vastly faster than the speed of light?
just after the Big Bang and before inflation the currently observable universe was the size of a coin. One millionth of a second later the universe was the size of the Solar System, which is an expansion much much faster than speed of light. Can space expand with unlimited speed?
I just made a minor , and  the grammar correction was unnecessary.  The original text was     Another factor--sometimes life happens and you can't fly. In the old days you could simply sell your ticket to someone else, now you either have to eat a hefty change fee or lose it outright. That's money in their pockets that they didn't used to get.   It was corrected to:     Another factor--sometimes life happens and you can't fly. In the old days you could simply sell your ticket to someone else, now you either have to eat a hefty change fee or lose it outright. That's money in their pockets that they didn't use to get.    Was this grammatical correction an improvement? Was the original text grammatically correct? Is the edited text grammatically correct? Can I travel to the USA while working remotely for my non-US employer? Minecraft Empty Chests Command Block I am using the following Command to spawn a new chest at the given coordinates with stuff in it at each new round:  /setblock 264 4 997 minecraft:chest 0 replace {Items:[{id:274,Count:1,Slot:0},{id:275,Count:1,Slot:1}]}   The problem with that is that when replacing the old chest all the stuff in the old chest is thrown out. And that's pretty much not what I want. I need to find a way to replace a chest which might have stuff in it without throwing those things out.  Someone else said I should replace the given position for one tick with lava, which I tried. Works in 90% of the tries (in the other 10% the items from the chest are thrown to far away - out of the spawned lava block), but the problem with that is that I can't use it in wooden areas because it might burn everything down.  So what can I do to fix that problem, because otherwise my custom made Pv.P map is not gonna work?  Thanks very much! Why have we chosen our number system to be decimal (base 10)? After learning about the binary number system (only 2 symbols, i.e. 0 and 1), I just thought why did we adopt the decimal number system (10 symbols) after all?  I mean if you go to see, it's rather inefficient when compared to the octal (8 symbols) and the hexadecimal (16 symbols)? I have one website. I have two domain names that I want to point to the same site install.   So whether you go to name-one.com or name-two.com you see the exact same site.  Now, I can either set up name-two.com to serve 301 redirect header redirecting to name-one.com – or, I can set up name-two.com as a CNAME in the DNS pointing to name-one.com  What is the different implications for SEO on this? What is recommended?  I would guess it's better for branding to use a 301 redirect, so that visitors will see one consistent url for my site, right?  The reason I want the two domains is that I want a version with regional letters ('ö' instead of 'oe' ) in the name. How to Compact geodatabases in multiple directories using ArcPy? I am trying to write a script to walk through all folders in my workspace and find and compact all geodatabases in my workspace.  I feel like I'm on the right track but I am stuck.  import acrpy, os from arcpy import env  arcpy.env.workspace "C:"  for (path, dirs, files) in os.walk(arcpy.env.workspace)     for file in files         if ".gdb" in file:         workspaces = arcpy.ListWorkspaces("*", "FileGDB")             for workspace in workspaces:             arcpy.Compact_management(workspace)   I am using ArcGIS 10.2.2 for Desktop. Following a global preference for , as of now, the preferences for enabling keyboard shortcuts and disabling the fixed topbar are network-wide* as well.  If you had either checked off on any site in the network, that setting has been preserved and applied to the whole network for your account already. Future changes will also apply to all* Q&amp;A sites.  Find them in their usual spot as previously on the  pages.    * With the exception of , which will support the fixed topbar after the . Blank screen after installing nvidia restricted driver I've  and rebooted my machine and now I get a black or blank screen.   How can I fix this? Automorphisms of the complex plane How can it be shown that $$Aut(\mathbb{C})=\{f|f(z)=az+b,a\neq 0\},$$ where an automorphism of $\mathbb{C}$ is defined as a bijective entire function with entire inverse?  If $f$ is of the form $f(z)=az+b$, with $a\neq 0$, then obviously $f$ is in $Aut(\mathbb{C})$. How can I prove the converse? I am having a lot of trouble with these series questions. Up until this point, I had relatively little trouble with all the questions in the book. These seem to require knowledge about approximations of functions and other external experience-based knowledge, which I just don't have yet.  Determine convergence or divergence of the given series. In the case of convergence, determine whether the series converges absolutely or conditionally.  $$\sum_{n=1}^\infty (-1)^n\left[e-\left(1+\frac 1 n \right)^n\right]$$  It's easy to see that  $$\lim_{n\to\infty}\left[e-\left(1+\frac 1 n\right)^n\right]=0$$  however, in order to apply Leibniz's Rule and show conditional convergence I need to show that the sequence is monotonically decreasing. This doesn't seem doable with straight inequalities, so I tried taking the derivative, which just resulted in an uninterpretable mess. This doesn't even begin to address the question of absolute convergence/divergence.  There are 54 of these questions... I must be missing something really fundamental if they all take this long. Is reusing old code for a new assignment considered self plagiarism? How to protect yourself if you consider it to be, and a group partner does not? I am taking a graduate machine learning course and am working with another student in the class on a final project. In his undergraduate studies, the other student wrote code that accomplished a similar task, and mentioned in our previous meeting that we would be able to leverage much of this code for our current project if we wanted to. I responded that I believe it would constitute textbook cheating and self-plagiarism, but the other student disagrees and believes that re-using the code would not constitute self-plagiarism because he himself wrote it, and it would be redundant to re-write what he had already done.  Now, the course instructors have made it clear that we are not allowed to use any external libraries to perform certain classes of algorithms for this project. This students' prior code would fall under this category of prohibited tools, but he claims that it doesn't qualify because he wrote the code himself (so it is not an "external library"). I believe this is hyperbole, but he disagrees. It is also worth mentioning that this code is licensed under an , though it is not widely used at all.  It has gotten to the point where I am uncomfortable going forward with the project by re-using his old code, and he does not want to do work on the project that he considers to be redundant. My worry is that if it turns out we're not allowed to reuse the code, then using it could cause us to fail the course and severely negatively affect our reputations. Even if we don't get caught, I personally feel that it would be unethical to copy-paste old code and present it as though it's fresh code for this current project.  I am unsure of how to proceed. I have tried reaching out to the professor of the course some time ago (she has been traveling for some conferences recently and will be for a while) but I have not heard back from her. Additionally, the course TAs have been unwilling to weigh-in on the situation.  I have the following questions:   Is the above situation usually considered to be self plagiarism? Why or why not? Is the above act typically allowed in an academic setting? Assuming you are in my position, and consider re-using the code to be cheating and/or unethical, what is the best way to proceed; both in terms of how to make progress on the project, how to compromise with my group mate, and how to protect myself if my group mate refuses to budge. I want to be able to lock my translation/scale operations to two axes at a time, say xy, xz or yz. It currently takes two operations (one for each axis).  Example, say for a cylinder, I would like to reduce the radius. I currently have to scale on the x axis first, then on the y axis, or I have to manually input the scale values in the object properties panel.  This option is easily accessible in 3dsmax via the axis constraints command bar. Or I can click the intersecting area between the 3d manipulator of the axes in question and move in that plane. At work today, I came across the volatile keyword in Java. Not being very familiar with it, I found . Given the detail in which that article explains the keyword in question, do you ever use it or could you ever see a case in which you could use this keyword in the correct manner? Let $X,Y,Z$ be subspaces of $V$ so that $X$ is a subspace of $Y$. Prove that $Y\cap (X+Z)=X+(Y\cap Z)$ Let $X,Y,Z$ be subspaces of $V$ so that $X$ is a subspace of $Y$. Prove that $Y\cap (X+Z)=X+(Y\cap Z)$  I know that I need to prove that $Y\cap (X+Z)\subseteq X+(Y\cap Z)$ and $X+(Y\cap Z)\subseteq Y\cap (X+Z)$ but I´m having a hard time.  Can you lend me a hand please? I would really appreciate it I have looked in several different Fate games' rulebooks, including Fate Core, DFRPG, Atomic Robo, FAE, and Jadepunk, which all describe Boosts as temporary Aspects you get to invoke for free, one time, and which disappear after being invoked.  In the other "invoke for free" situation I'm aware of (on Aspects newly-created via the Create Advantage action), they aren't singled out as "temporary."  I looked in many books but I'm interested in Fate Core.  So I haven't been able to figure out whether Boosts need to be invoked immediately or they disappear, without having been invoked at all? Is it possible to cancel or clear a notification created by using notify-send? So I wrote a little script that makes sure a certain user plugs in a laptop when he logs on (it disables if he doesn't). The script uses notify-send to tell him to plug it in. If he plugs it in, the script quits. Is it possible to clear the notification automatically when he plugs it in? I'm thinking it might require somehow getting the process id spawned by notify-send and killing that PID, but I don't know how to do this.  Here's the current script:  #!/bin/bash   cat /sys/class/power_supply/BAT0/status OUTPUT="$(cat /sys/class/power_supply/BAT0/status)" echo "${OUTPUT}" if [ "${OUTPUT}" = "Charging" ] || [ "${OUTPUT}" = "Unknown" ]; then     echo charging or full elif [ "${OUTPUT}" = "Discharging" ]; then     notify-send -i /home/evamvid/Documents/Programming/OokiNoUse/power25.png "Hey there brother" "plug it in"     COUNTER=0 while [ "$COUNTER" -le 12 ] do     cat /sys/class/power_supply/BAT0/status     OUTPUT="$(cat /sys/class/power_supply/BAT0/status)"     echo "${OUTPUT}"     if [ "${OUTPUT}" = "Charging" ] || [ "${OUTPUT}" = "Unknown" ]; then         exit     elif [ "${OUTPUT}" = "Discharging" ]; then         COUNTER=$(($COUNTER+1))         echo $COUNTER         sleep 1     fi done fi Rich Wizards, Poor Muggles Why, oh why, don't the Weasleys "conjure" up some diamonds/gold/etc, sell 'em to Muggles, and get rich? They could buy a mansion (like the Malfoys), and live there happily ever after.  I know there's  that prohibits one from conjuring food (which doesn't make much sense to me, either). Even if it applied to gold, what about all the other elements/compounds/materials? Could the law really be 'don't let a wizard conjure something if it'll make them richer'? That's totally nonsensical.  Why does Wizard society still have poor people, especially if they're talented? Python dateutils print recurrence rule according to iCalendar format (see RFC 5545) I need to install a new TeX/LaTeX/ConTeXt package on my computer.  I'm running Ubuntu/Fedora/Slackware/Some-Version-Of Linux.  What are the possible ways to do this?    Note:&nbsp;&nbsp; We get a number of questions that essentially reduce to this one; it was felt a good idea to have one question-and-answer that can cover all the standard methods.  See  for the discussion.  The question-and-answer are CW so that more information can be easily added.  If you have information to add, please do so.  If you are unsure, leave a comment here or (preferably) in .  Comments on the question and answer will be periodically removed to ensure that the information is clear. Need to develop a tapered spacer for under a car lift on an angled concrete slab I need to fabricate/develop an angled spacer.  13 inch wide by 10 inch long, by 3/4 inch to 1 3/8 inch thick. This spacer is needed to go under two of the posts of a hobbyist car lift in my garage. The garage floor is angled by the door where two of the four corner posts will go. These two rear posts need to be on a flat surface and at the same level as the two front posts.  Each post pad will need to handle approximately 2000 pounds. I was thinking of building a 4-sided mold where the column pads would be on the angled concrete and pouring some type of epoxy, resin, or cement into the mold. Which the metal plate from car lift posts would sit on. enter image description here