Looking for a story about a Sun that becomes self-aware
Looking for title/author of SF novel about malevolent creatures/gods residing inside stars
Simple Math Problem A bat and ball cost \$1.10.  The bat costs a dollar more then the ball.  How much does the ball cost?  If this is not the correct place to ask a question like this please tell me and I will remove it :)     The ball costs \$0.05, not \$0.10 Given a filesystem path, is there a shorter way to extract the filename without its extension? Prove that the sequence with $T(0)=1$ and $T(n) = 1 + \sum_{j=0}^{n-1}T(j)$ is given by $T(n)=2^n$ $T(0)=1 \\ T(n) = 1 + \sum_{j=0}^{n-1}T(j) \\ $  Show that $T(n) = 2^n$.  I know how to prove this by induction, but I would like to know how to show this using first principles.  Edit: The way I want to solve this problem is manipulate $T(n)$ in such a way that it ends up as $2^n$. Are there any references to Eru or the Valar in the Lord of the Rings movies? The closest references to Eru or the Valar in Peter Jackson's Lord of the Rings and The Hobbit movies I can think of are Gandalf's vague description of his resurrection ("I've been sent back... until my task is done.") and his later description of Aman to Pippin ("White shores and beyond, a far green country under a swift sunrise." -- as an aside, he's taunting Pippin here, since Hobbits suffer from the Gift Of Men) and the equally vague information viewers are given about where the elves are going when they leave Middle Earth.  Are there any more direct references I'm missing? Maybe a mention of Aule by a dwarf? Is there a way in Java to determine if a path is valid without attempting to create a file? When I turn 13 years old, will some of my Roblox account restrictions unlock automatically? Express $\sqrt{3}\sin\theta - \cos\theta$ as: $a\cos (\theta + \alpha) $ How to get the date in a batch file in a predictable format? In a batch file I need to extract a month, day, year from the date command.  So I used the following, which essentially parses the Date command to extract its sub strings into a variable:  set Day=%Date:~3,2% set Mth=%Date:~0,2% set Yr=%Date:~6,4%   This is all great, but if I deploy this batch file to a machine with a different regional/country settings, it fails because month, day and year are in different locations.   How can I extract month, day and year regardless of the date format? Reset the password in Ubuntu / Linux Bash in Windows I have installed Linux Bash on Windows 10 (available from Microsoft), but I've forgotten my password.  I've searched for a solution but I only find suggestions that involve doing something before the system boots, like accessing recovery mode, but that will not work in this case as this Ubuntu is just an application within a Windows system and doesn't have its own boot process.  How can I reset my password? Book set in contemporary times about a travel writer who is inducted into the world of the supernatural How many Marvel Earths (Universes) are there? Opposite of "straight talk" What is the opposite for the straight talk idiom? How do I best call the activity when someone makes a very long preamble before he says what he wants? If you run a code snippet, a hat still appears (hats are above snippets in the Z-order) iOS 12 tapping on notification to open app not working Solving the recurrence $T(n) = \sqrt n T(\sqrt{n}) + \sqrt{n}$ I'm looking for a shapefile containing an 1000m or 2000m UTM grid ("graticule"). All I was about to find on the web is a 10000m UTM grid (here: ) and I am aware that a 1000m UTM grid for the whole world might be quite big.  That's why I'm now wondering if and how it would be possible to generate such a shapefile for a part of the world. I would prefer to use open source tools like gdal. Others output formats than a shapefile might be ok too.   Has anyone an idea? What is the percentage increase to any value when initial value is 0? This is a very simple maths problem, which doesn’t seems simple to me when I just put some extra thoughts on it. So need to borrow some extra brains for this.   Question: If cost of coffee in my office was Dollar 0 till yesterday and today it is Dollar 2.5 then what is the percentage increase in the cost of coffee?  Initially it seemed like 2.5% increase, simply by distributing number from 0 to 100, but this is not the case.   Some suggested it is infinitely more than the previous value, because we are calculating percentage by dividing by zero. But what about this if the cost of coffee was $0.25? Isn’t still infinitely more! Something is wrong here.   PS: Yes, coffee were free in our office but not anymore, and we are still recovering from this shocker. 😥 How do I boot my PC from GRUB? Shutdown from terminal without entering password? I have desktop edition of Ubuntu.  I like the Terminal so that that I prefer to shutdown my computer with the shutdown command.  However when I type shutdown now it prompts me to enter my password.Is there any way I can shutdown my computer using this command without entering my password? Is it possible to mark the same tag as "Interesting" and "Ignored"? Can you mark the same tag as both interesting and ignored? If you can, what is the resulting appearance of a question with that tag?