Coordinates of the centers of the triangles composing a Koch snowflake
Revolution of Koch Snowflake
sudo apt-offline install not updating working with procedure  to update Ubuntu 18.04 offline machine, the sudo apt-offline install /path_to_downloaded_package_folder do not apply any updates/upgrades. The beginning of the massage I get is :   sudo apt-offline install ./updates_path/ No changelog available (Y) Yes. Proceed with installation (N) No, Abort. (C) Display changelog (?) Display this help message. What would you like to do next:  (y, N, ?)y Proceeding with installation ERROR: Path for keyring is invalid: /etc/apt/trusted.gpg gpgv: Signature made Mon 06 Jan 2020 08:17:27 AM MST gpgv:                using RSA key 3B4FE6ACC0B21F32 gpgv: Good signature from "Ubuntu Archive Automatic Signing Key (2012) &lt;ftpmaster@ubuntu.com&gt;" gpgv: Signature made Mon 06 Jan 2020 08:18:52 AM MST gpgv:                using RSA key 3B4FE6ACC0B21F32 gpgv: Good signature from "Ubuntu Archive Automatic Signing Key (2012) &lt;ftpmaster@ubuntu.com&gt;" gpgv: Signature made Mon 06 Jan 2020 08:18:25 AM MST gpgv:                using RSA key 3B4FE6ACC0B21F32 gpgv: Good signature from "Ubuntu Archive Automatic Signing Key (2012) &lt;ftpmaster@ubuntu.com&gt;" gpgv: Signature made Thu 26 Apr 2018 05:38:40 PM MDT gpgv:                using RSA key 3B4FE6ACC0B21F32 gpgv: Good signature from "Ubuntu Archive Automatic Signing Key (2012) &lt;ftpmaster@ubuntu.com&gt;" security.ubuntu.com_ubuntu_dists_bionic-security_InRelease synced. security.ubuntu.com_ubuntu_dists_bionic-security_Release synced. security.ubuntu.com_ubuntu_dists_bionic-security_Release.gpg synced.   What am I doing wrong? How do I convert a SMP server world into a Single-player compatable world? I had a Minecraft world on Minefold.  I archived my Minecraft world just before Minefold closed about a year ago.  I'm trying now to open the world in my local Minecraft installation on OS X, but it doesn't show up in the worlds list.  To import it, I simply unzipped the archive from Minefold into my ~/Library/Application Support/minecraft/saves folder.  I'm running Minecraft 1.8, and I don't have any mods installed.  There's no error; the world just doesn't show up in my list of worlds after I click [Singleplayer] (or [Multiplayer]).  Now, the big clue is that the directory structures are different between my locally-created worlds and the world created on Minefold, but I can't figure out how to adapt the files to make them match:  This is a screenshot of my saves folder. I've circled in blue "local" and "minefold", which contain data files for the local and Minefold worlds, respectively.    I bracketed similar filenames in both worlds, but I'm flummoxed in that the Minefold version has three (3) sets of data files, whereas the local world has only one (1) set of files (even though I have visited Nether in the local world).  How do I load my old Minefold world locally? Aligning table within latex editor What inspired Tauriel's story arc? I know Tauriel is a Jackson created character, but I wondered if anywhere in the legendarium there was fodder for the story arc between her and Kili.  I do not have access to all my books for the time being and recall stories of love between men and elves in the Silmarillion and Appendices but don't remember any such stories between elves and dwarves and wondered if there was any basis of inspiration for this aspect of their relationship within Tolkien's works.   This movie, of course, departs even further from the original than those made before it, but as a story unto itself, I can still appreciate the ride, so if there is no Tolkien basis, what inspired Jackson, Boyens, and Walsh to create this particular arc?  Is there interview info or anything? A beginner's guide to SQL database design Do you know a good source to learn how to design SQL solutions?  Beyond the basic language syntax, I'm looking for something to help me understand:   What tables to build and how to link them How to design for different scales (small client APP to a huge distributed website) How to write effective / efficient  / elegant SQL queries Can md5 be used for encrypting data? I know that md5 shouldn't be used for password hashing because of collisions and possibility of making dictionary attacks e.g. using rainbow tables. But what about other uses? Can I use md5 for encrypting data?  Say, attacker gains access to database where sensitive data was stored using md5. He wants to know just this data that was hashed, not another data that gives this hash. Can he do it?  I know that there are better cryptographic hash functions so don't suggest to use them if md5 is enough. I have three displays, a 4K display flanked by two 1080p displays. Physically, these monitors are roughly the same size. Furthermore, Windows 10 handles the DPI scaling of the 4K monitor separately from the 1080p monitors just fine. So while it appears as such to Windows    the real layout is three monitors of equal size side by side.  The problem is that the mouse keeps getting caught on the edges of display 2 and three when dragging from display 1. I would like the mouse to continue onto display 2 or 3 regardless of which part of the left or right edge of display 1 the mouse touches.  This question has been asked before (e.g. ) and a common answer is to suggest that this behaviour is intentional on the basis that mouse movement should reflect different size displays. Such an answer is not appropriate as it doesn't consider DPI and scaling. Will running a large query on a secondary database in an availability group affect transaction performance in the primary database? I need to provide real-time, or almost real-time, data for SSRS and Tableau reporting. I don't want the production OLTP system to be negatively impacted by long running queries. Will running a large query on a secondary database in an availability group affect transaction performance in the primary database? How do I remove log out, reboot, and shut down from GNOME shell application list? I’m new to Ubuntu. I don't know where the log out, reboot and shut down icons in my application list came from. I just need to remove this from here. Asume the following search queries: osx, cocoa, iphone, xcode, applescript, mac, carbon    Searching for osx, cocoa, iphone or xcode like:   http://stackoverflow.com/search?q=osx   Results into searching by tag:   http://stackoverflow.com/questions/tagged/osx   While searching for applescript, mac and carbon like:   http://stackoverflow.com/search?q=applescript   Results into searching by string.  Yes, I know how to search by tags using brackets: [applescript] But why are the queries above interpreted differently? All queries are valid Stack Overflow tags! Why not convert all queries into search by string or search by tag? What is the logic behind? Tag popularity? It seems rather inconsistent to me. I want to convert a std::string to lowercase. I am aware of the function tolower(). However, in the past I have had issues with this function and it is hardly ideal anyway as using it with a std::string would require iterating over each character. Is there an alternative which works 100% of the time? How should I phrase an important question that I need to ask a professor? When needing to ask a professor about something important and potentially delicate, what is an appropriate way to phrase the question or write the email?  Examples include:   Requesting a recommendation letter Asking for exceptions to policy (e.g., ignoring a course prerequisite, rescheduling an exam) Asking if you can do research with them, join a group, get into a program Scheduling a meeting, exam, or defense Letting them know about a change of plans Letting them know about a life event affecting your work or studies (e.g., wedding, funeral, sickness, vacation) Is there a way to locate diagrams and move them wherever you want in QGIS 1.7.4/ 1.8.0? I created a pie chart under the tab "diagram". I can mark those diagrams with a green box and move them via the label-tool, but they won't change their position in the end. When I create diagrams with the "diagram overlay" tab they cannot even be marked.  Also, what is the difference between "diagram" and "diagram overlay"? "Distribution not supported" when trying to install Intel Graphics Installer in Ubuntu ReadList can't read from file containing high-precision Reals Permalinks: custom post type -> custom taxonomy -> post I am having trouble working with WordPress rewrite rules, and could use some help.  I have a custom post type called _shows_.  All shows have a single custom taxonomy category _show-category_. A _show_ will never have more than one _show-category_.  I would like my urls to route in this manner:  www.mysite.com/shows/  =&gt;  archive-shows.php  www.mysite.com/shows/%category%/ =&gt; taxonomy-show-category.php  www.mysite.com/shows/%category%/%postname%/ =&gt; single-shows.php   So as a real world example, lets say we have a _show-category_ "Foo" and a _show_ post titled "Bar" that has "Foo" as it's _show-category_. I would expect my WordPress app to look like this:  www.mysite.com/shows/foo/ =&gt; shows all posts under the foo category www.mysite.com/shows/foo/bar =&gt; shows the indivual post   I try to avoid plugins when possible, but am open to any solution. I want to make a shell alias that starts a certain program and also changes the title of the terminal to the name of the program.  How can I do that?  In case it matters, I am running the terminal on Ubuntu and connecting to a Debian server via ssh. How fast does gravity propagate? A thought experiment: Imagine the Sun is suddenly removed. We wouldn't notice a difference for 8 minutes, because that's how long light takes to get from the Sun's surface to Earth.   However, what about the Sun's gravitational effect? If gravity propagates at the speed of light, for 8 minutes the Earth will continue to follow an orbit around nothing. If however, gravity is due to a distortion of spacetime, this distortion will cease to exist as soon as the mass is removed, thus the Earth will leave through the orbit tangent, so we could observe the Sun's disappearance more quickly.  What is the state of the research around such a thought experiment? Can this be inferred from observation? Is there a power saving application similar to Jupiter? I'm trying to install the Jupiter power settings app but, I read it is no longer compatible with the new kernel. Is there a similar program or a way to manage the power settings on 13.04? How to access the system tray using the keyboard? Is there a way I can access the system tray items using the keyboard in Windows XP?