![]() We represent moves by three actions $a_$) indicate progress (“ $ 1$”) or regress (“ $−1$”) in solving the classical puzzle (we add a game reset move when the classical puzzle is solved) and their base letters indicate whether the two disks to be lifted at the respective vertices of this edge are of matching (“ $x$”) or mismatching (“ $y$”) color. So the goal becomes how many moves does it take to transform $11\cdots 1$ to $33\cdots 3$. This uniquely represents a configuration because larger disks need to be below smaller disks. The $k$th entry of the string is which peg the $k$th smallest disk is on. The set of configurations of the game are represented by a string of $n$ $1$'s, $2$'s, or $3$'s. Let's stick with 3 pegs, and $n$-disks, it gets confusing with more pegs. I'll give a quick overview of how the model works. ![]() I might add V Nerkrashevych's book "Self-similar groups" or " From fractal groups to fractal sets" for the theory, though I forget off hand if the Hanoi towers game is in there. The language of finite automata is useful in understanding these groups Mangual did a fairly thorough rundown of references. I'd say this mostly falls under the label of geometric group theory, and is quite useful in the study of dynamical systems. ![]() The language which I have usually seen it written in is that of self-similar groups, which are automorphisms of rooted trees.
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Posts with a goal of advertising tournaments, coaching, products, discord channels, non-content services, or anything non-MTG related are not-allowed. If it is a deck tech / focus, please post your decklist in a copiable form in the body of your self-post or as a comment. Articles / YT links must include a brief writeup (Paragraph or two) of what the article is about. Post your deck along with some information in the body of a self post instead. Link only posts / Blog / YT spam will be removed. If you believe that a Regular REL event that you attended would be considered competitive, qualify that in your post. Reports from events like PTQs, Premier Events, and Leagues (with a consistent record in Leagues) on MTGO are allowed. Tournament reports must come from Competitive REL or higher events. Mods can add it, but it only makes our jobs harder. This way people can filter the flairs and find your post. We do not allow ban chatter to overshadow everything else, so complaining about how X or Y needs to be banned outside of a Banned & Restricted announcement will be removed. Posts discussing potential bans/un-bans, decks with cards from only half-spoiled sets, anything 'post-rotation' or non-WOTC sponsored formats are prohibited. Treat formats as they do exist, not how you want them to exist. Posts discussing Hypothetical Formats will be removed. Topics such as finance, alters, cosplay, etc should be directed to r/MagicTCG.īudget-based competitive discussion should only be posted in our weekly "Ask Spikes" or "Deck Check" threads (posted on Mondays). psychological factors, tips for tournament preparation, etc). Non-deck magic discussion must be had with competition in mind. No exceptions! See this post for details and accepted descriptive tags. Posts without descriptive tags in square brackets will be removed automatically. Otherwise, please use the weekly Deck Check thread or the /r/spikes Discord, as posts without these points addressed are subject to removal. ![]() If you can discuss these three questions, your post is welcomed and encouraged. (If Bo3) How do you currently sideboard with this deck against the established metagame? What does it do well / not so well in the current/established metagame? Why should someone play this deck as a competitive option over a different one? - "Just because" or "I like it" is not a valid answer Why does this deck exist in its current form? Explain your choices clearly.With that in mind, we ask for three key points when posting about new decks: We know that spikes like testing the waters of the metagame, particularly around the time of new set releases. Show Your Work - New Decks, Brews, and Theorycrafting: Posts that do not meet this bar are better suited for a weekly thread or the /r/spikes Discord, and will be removed from the subreddit. Posts that include all three points are welcomed and encouraged. ![]()
![]() Consider a Mesh-Based SystemĪ more expensive but more thorough option is to invest in a wireless mesh router system. This site has a good roundup of the best ones available right now. These are relatively inexpensive and can be particularly useful in larger homes or places where there are a lot of obstructions. These devices go by the names “repeater,” “booster” and “extender,” but they all basically do the same thing: take your Wi-Fi signal, amplify it and then send it out again from a different location. Get a Repeater/Booster/ExtenderĪnother thing to consider is buying a product that will give your Wi-Fi signal a leg up. You can learn more about the differences between the 2.4 and 5GHz bands here. The caveat here is that the 5GHz signal doesn’t travel as far and doesn’t fare as well with obstructions as the 2.4GHz band does, so it isn’t a great option for devices that are located far away (or many walls away) from the router. You will usually get better performance if you select 5GHz, because it’s less commonly used and there will be less interference. If you have a “dual band” router, you have the option of using either the 2.4GHz band or the 5GHz band. For example, if you want to make sure your streaming of the big game isn’t interrupted because your kids are playing games online you would assign a higher priority to your streaming service than their device’s browser. You can use these tools to prioritize certain apps over others. Most routers come with something called Quality of Service (QoS) tools that can help you limit the amount of bandwidth different apps use. See if There Are Apps Hogging Your Bandwidthĭifferent applications use different amounts of bandwidth, and if you’ve got multiple apps running that are bandwidth hogs, overall performance is going to suffer. PCMag has more information on how to do that. If your router doesn’t have that option, you’ll need to change the channel manually. Check your router’s administration interface to see if yours is set on “automatic.” If it’s not and that option is available, select it. ![]() Most routers are set up to automatically use the clearest channel available, but that’s not the case for all of them. If you and your neighbors are trying to use the same channel, everyone’s router performance can suffer. If you live in a densely populated area, your Wi-Fi signal could be suffering from congestion. Here are keys to keeping your home Wi-Fi network safe and secure. If neighbors or even just passersby are using your signal, that means there’s less available for you. Making sure your wireless network is secure not only helps protect you from malicious activity, but it can also ensure that no one is stealing your precious bandwidth. This article goes into detail about what the process involves. The updating process varies from router to router, but you should be able to find updating instructions on the website of your router’s manufacturer. ![]() If you’ve never updated your router’s firmware, that might explain the issues you’re having with your Wi-Fi signal. When a new version of your computer’s operating system is released, it’s a good idea to run the update in order to patch security holes and get the best performance. Other things that can help are making sure the router is elevated and that it’s not surrounded by other electronic devices. If you use Wi-Fi primarily for streaming to televisions in your home, you’ll benefit from the router being closer to those TVs. Ideally, you want to place your router in a central location in your home so you’re never too far from it even if you’re moving about with your mobile devices. In general, the farther your router is from the devices connected to its signal, the weaker that signal is going to be. The next thing to consider when you’re trying to optimize your Wi-Fi signal is where you place your router. In the same way that restarting your computer can clear up issues with its performance, rebooting your modem and wireless router could be the remedy for a weak Wi-Fi signal.Īs with anything technical, there’s a right way and a wrong way to do it, so make sure you follow the manufacturer’s instructions and check the tips here. Let’s start with the simplest thing you can do to try to improve your Wi-Fi signal strength. ![]()
Fortunately, there are several other excellent options, and one of them is the Vamvo Outdoor Indoor screen. They recently discontinued many of their products, and are no longer widely available. Up until recently, we’ve recommended Silver Ticket as the go-to brand for affordable projector screens. What We Don’t: Needs a very dark environment, easy to tip over. What We Like: Simple to assemble, with a great picture for the price. If you're looking for a less-expensive automated screen, we'd recommend the Spectrum Electric, also from Elite Screens.īest Budget Home Projector Screen Under $300 2. The Elite Screens VMAX 2 comes in multiple sizes, like most screens here, but to be honest, it's still a little expensive for what it is. That said, we do think the price could stand to drop a little. It's a clear choice over screens from Silver Ticket, its big competitor. Installation is dead simple, as it comes shipped fully assembled (so no electronics knowledge required) and you won't have to get up to adjust it, either, as it comes with its own remote. There is a full 180 degree viewing angle, and like many models in this range, it comes ready for both 4K and 3D viewing. For starters, not only do you get a very sizeable usable area, but you get a slightly increased aspect ratio, at 16:10. In our opinion, the Elite Screens VMAX 2 ticks all three boxes. We think that right now, the best projector screen needs to be automated, easy to set up and use, and guarantee a particular level of picture quality. What We Don’t: Perhaps a little too pricey for some people. What We Like: Elite quality with automation added. Best Portable Screen for Large Home Theaters: Stewart Filmscreen Cimaīest Overall Home Projector Screen 1.A Solid Portable Projector Screen: Pyle PRJTP46.Fully Motorized: Elite Screens Spectrum 2.Best Outdoor Home Projector Screen: Giant Gemmy Airblown.Best High-End Projector Screen: Seymour Screen Excellence.Best Budget Home Projector Screen: Vamvo Outdoor Indoor.Best Overall Home Projector Screen: Elite Screens VMAX 2.For more background, see our projector screen comparison table and buying advice below the picks. Below are the best projector screens of this year, no matter your budget. But do you get wall-mounted screen or freestanding? Which size and aspect ratio? Manual or motorized? Don't worry - we've got you covered. ![]() ![]() Even if your wall is a crisp, spotless white, any imperfections will be obvious. Did Brad Pitt's head get really wrinkly or is that just your crown molding? If you have a projector but no projector screen, you're getting subpar picture quality and are wasting a great machine. |
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