![]() In the past I’ve often made claims about the deep unity of fundamental physics and mathematics, One goal of this document is to lay out precisely one aspect of what I mean when making these claims. The basic relationship between quantum mechanics and representation theory explained here is something that I’ve always felt deserves a lot more attention than it has gotten. There’s nothing really new in these notes, but this is material I’ve always found both fascinating and challenging, so writing it up has clarified things for me, and I hope will be of use to others. In a few days I’m heading off for a ten-day vacation in northern California, and one thing I don’t want to be thinking about then is things like how to get formulas involving modular forms correct. This is still a work-in-progress, but I’ve decided today to step away from it a little while, work on other things, and then come back later perhaps with a clearer perspective on what I’d like to do with these notes. I’m posting the current version, working title From Quantum Mechanics to Number Theory via the Oscillator Representation. Since the end of the semester I’ve been trying to clean up and expand this part of my class notes. This past semester I taught our graduate class on Lie groups and representations, and spent part of the course on the Heisenberg group and the oscillator representation. From everything I have seen, that number has always been and remains zero. The problem with this subject though is not the number of people who understand IUTT, but the number who can explain to others in a convincing way the proof of corollary 3.12 in the third IUTT paper. I hope that you will boldly take on the challenge of researching IUT theory together with me so that you can be one of the next. We plan to prepare prizes for such young people and encourage them to continue to participate in the community that seriously researches IUT theory…Īlthough it is difficult to understand, there are already more than 20 mathematicians in the world who understand and develop the IUT theory. A student who blooms his talents that emerges from within. If you pass all of our courses, you will be better equipped with IUT theory than any mathematics student in any university in the world. The website seems to be Japanese-only, here’s what I get via Google Translate: The Center will offer an introductory course on IUTT. One component of the new university will be the Inter Universal Geometry Center, with Fumiharu Kato as director, Ivan Fesenko as deputy director. ![]() Visualized this means that every pair of elements forms either has one element above and one below, or forms a diamond with some pair of elements, one above and one below.The establishment of a new university in Japan has been announced, to be called ZEN University. (Note that they are not comparable because neither is a superset of the other)Īnother example of a lattice would be the powers of a set with set theoretic inclusion.Ī way to think of lattices would be as a sort of structure where every pair of elements has one element above it that is smaller than every other element above it, and one bigger then every below it. A greatest lower bound is an element $l_0$ such that for every lower bound $l$, $l \leq l_0$.Īn example would be $A = \mathbb$ are not comparable. A lower bound is an element $l$ such that for every $b \in B, l \leq b$. ![]() Consider a partially ordered set $(A,\leq)$, and a non-empty subset $B$.
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![]() Read the review 89 The Selfish Giant (2013)Ĭlio Barnard’s second feature doesn’t have the shock of innovation of her verbatim cinema debut, The Arbor, but the story of two lads scrapping around junkyards to escape their homes is a masterpiece of lyrical social realism. CSĮven non-ravers can’t fail to be shaken by Mia Hansen-Løve’s vital tale of love and clubbing, vaguely based on the rise of Daft Punk. CSĮvents soured after the shoot but Nicolas Philibert’s sole big hit remains a disarmingly funny study of a graceful and kind schoolteacher caring for a motley crew of under-11s in rural France. Kathryn Bigelow’s extraordinary story of a controlled explosions team – headed by a never-better Jeremy Renner – is intense, immersive and impossible to shake. Read the review 92 The Hurt Locker (2008) The second in Roy Andersson’s trilogy of wackily incisive Swedish vignettes comes at you thick and fast – about 50 micro-sketches, sometimes loosely linked – yet sticks like plasticine beneath your fingernails. Read the review 93 You, the Living (2007) Yet there are many grace notes under the fire and fury. Russell Crowe bellows and glowers opposite hyper-evil Joaquin Phoenix and lugubrious Oliver Reed (who died during production). Ridley Scott’s deluxe Roman blockbuster is toga soap turned up to the absolute maximus. Photograph: Dreamworks/Sportsphoto/Allstar 94 Gladiator (2000) ![]() Maximus attitude … Russell Crowe in Gladiator. Michael Moore’s finest hour: a blazing juggernaut with George W Bush, the Iraq war, the media, democracy and us, the gullible masses, in its crosshairs. Read the review 97 Fahrenheit 9/11 (2004) The only comic book movie to make the cut is Christopher Nolan’s genre masterpiece: fatalist, bracing and forever the legacy of Heath Ledger, posthumously awarded an Oscar for his terrifying performance. Read the review 98 The Dark Knight (2008) The butterflies are too tropical for Hampstead, but the rest is spot-on. CSĪn early lead for Ben Whishaw as the ailing John Keats romancing Fanny Brawne (Abbie Cornish) is the tremulous soul of this underappreciated Jane Campion drama. Leonardo DiCaprio and Brad Pitt star as a fading western star and his mutt-loving stunt double in this relaxed and loving roast of bygone Tinseltown. Quentin Tarantino’s latest jaw-dropper bumps Kill Bill: Vol 1 off the list in gloriously irreverent fashion. Just be sure to follow the drop shadow’s direction with the shading! by Mky Get creative and weird, don’t be afraid to mess things up-you most certainly will, that’s how we all learn!. Once you get the hang of it, you can mix things up and add different light sources to your angled drop shadows. Look at different objects in your room, both rounded and rectangular, to get a feel of how light and shadow play on it. At first you’ll get lost a bit but that’s okay.Īn easy way to figure this out is by imagining that your letter is an actual object on a table. by MkyĪlright, now that you have mastered adding the drop shadow, go ahead and add some shading to it.įirst thing you need to do is define a light source and stick to it. There is no right or wrong way to do this-you simply have to try all options and see what works best for you. Define a point, connect all edges of the letters to it and trace the letters again on the shadow.Duplicate, resize and move the layer, then connect all the corresponding edges or.If you’re feeling adventurous, you can take it one step further by experimenting with the vanishing point. In the meantime, you can also start experimenting with different shadow sizes. Similar to the previous technique, duplicate, recolor, drag to a 45* angle and connect the edges. This look will make your piece more dynamic. Now that you’re more confident, let’s spice things up by using different angles for the different words. Staying on the same layer, start connecting the edges of the two layers. Instead of dragging the opacity down though, this time you want to recolor it. Start off the same way you did for the drop line: duplicate the layer that contains the letters, send it behind the main one and move it to a 45* angle. ![]() Go ahead and experiment with adding shadows and dimensions to more lettering styles. by Mky Drop shadowĪdding shadows works for bold, blocky letters as well as some thinner scripts. That way, you can just use the papers as guides, just like you would with the layers. If you’re using pen and paper, try working with tracing paper at first. Just make sure that when you draw your initial letters you leave enough space between them for the drop line. ![]() On a new layer, trace the edges of the shifted layer, then delete the low opacity one. Drag its opacity down and slightly move it to the side-this tends to be a 45* degree. If this is your first time doing this, it will help to duplicate the layer that contains the letters. You simply have to trace a line near your main letters. The drop line is probably the simplest and quickest way to give your letters some dimension. But before we begin, keep this essential rule in mind: when creating shadows it’s important to define a light source and stick to it throughout the design to maintain a consistent look. Sounds fun, right? Let’s take a look at each option, starting from the easiest, with quick tips on how to achieve each look. For extra depth you can add some inner shadows to your letters or if you’re feeling adventurous you can play with some bevels, too. Then turn that line into a clean drop shadow, which you can add some shading to later. Start with something as simple as a drop line. ![]() When adding shadows and dimensions to letters, there are quite a few routes you can take. Once you’re no longer intimidated by drawing simple letters, words or phrases, you can jump into the tutorial below and add some mind-blowing dimensions to your lettering! Different types of shadows and dimensions for 3D lettering
![]() Rumbleverse launches on Xbox, PlayStation, and the Epic Games Store on February 8, 2022. You can pre-download the game on Xbox today, but it will not be playable until the release date/time (check the Xbox Store for release date/time in your region). Iron Galaxy and Epic Games announced Rumbleverse, a 40-player 'brawler royale,' at The Game Awards 2021. A first-look preview on PS5, Xbox Series X, and PC will be held Dec. The Rumbleverse Early Access Pack is available to pre-order on the Microsoft Store for $19.99. Iron Galaxy and Epic Games announced Rumbleverse, a 40-player 'brawler royale,' at The Game Awards 2021. Rocket League Rocket League Sideswipe Fall Guys Rumbleverse PC Building Simulator PC Building Simulator. You can purchase new cosmetic items like Full Outfits, Hair Styles, Accessories, Masks, and Emotes! You can purchase new cosmetic items like Full Outfits, Hair Styles, Accessories, Masks, and Emotes Rumbleverse is an all-new, free-to-play, 40-person Brawler. FrameQueueLimit 1 to limit pre-rendered frames. Even before brawling, being greeted with a. Mismatched design worms its way into Rumbleverse's audio/visual qualities too. Includes: - Early Access Beta - Three (3) Karategi Jackets - Three (3) Karategi Trousers - Three (3) Karategi Gloves - Three (3) Karategi Shoes - 2000 Brawlla Bills Brawlla Bills are in-game currency that can be spent in Rumbleverse. A panoply of disparate notes won't mean much without a good rhythm. Master your fighting style as you fight, in-style!Ĭhop through the noise by mixing and matching your favorite outfits. Visit Grapital City, where you can brawl anywhere and be anyone! Enter a 40-person melee as you lay the smack down to be declared Champion in this Brawler-Royale. Be the first to play in the Early Access Beta and become Grapital City's ultimate sensei. Early Access Packs for Rumbleverse are now available to pre-order on Xbox One and Xbox Series X|S for $19.99. By forcing the commands to be declarative, you never have to break out a ruler and measure margins, or trust your gut visually you know what they used, period. This is because all these things are handled like HTML wrappers- in the header, you specify that you're writing a letter, or an article, or a book, etc there's specific packages that deal with modifying margins, etc. You can have students submit a TeX file, which is basically a text file you'd open in Notepad or any text editor, and there's formatting that tells you exactly what size font, exactly what size margins, exactly what line spacing, etc, etc. That, and I really like the LaTeX software you can use to write with: it's free, there's places online (Overleaf and ShareLaTeX) where people can collaborate on a document as if it were Google docs, and it has really nice benefits for teachers: Either way, I really like the Computer Modern font. r/ECEProfessionals: early childhood educationĭo let me know how it goes! I'm curious the results you get. ![]() Share and discuss educational techologies that can support and improve teaching and learning. Share and discover teaching resources, including lessons, demos, blogs, simulations, and visual aids. Learn about and discuss the practice of teaching and receive support from fellow teachers. Learn about and discuss the news and politics of education. Guide: How to set up your User Flair The Reddit Education Network Students and non-teachers must remain positive and respectful. These posts will be manually approved as soon as possible. Note: We welcome new accounts, but posts from accounts with low ages or karma levels will be automatically removed by the filter. The goal of r/Teachers is to provide a supportive community for teachers and to inform and engage in discourse with educational stakeholders about the teaching profession. ![]() Locate and drag the file you want to transfer to the iPhone, or press ‘Select Files…’ and pick your file from Windows Explorer or Mac Finder.Connect your iPhone to your computer via USB (wireless transfer over Wi-Fi is also supported).You literally drag and drop video files (or any type of file, for that matter) onto your iPhone like this:Īs you can see, using a third party app like WALTR Pro is far more intuitive than using iTunes. Here are the steps to take once you’ve installed the app on your computer: Compared to the other programs I’ve used in the past, it’s dead easy. There are numerous iPhone file transfer software solutions out there but my personal recommendation is WALTR Pro. This is also one of the best methods for Mac users –although the Airdrop method (discussed below) is also worth considering. Method 2: Using A Third Party App (PC and Mac)įor PC (Windows) users, using a third party iPhone file transfer app is by far the simplest and fastest method. deleting media on one device effects other devices)Īs a result, I personally don’t use iTunes to put videos on my iPhone anymore. Many video formats are unsupported by iTunes.iTunes on Windows isn’t good and there are much better media library alternatives out there.Forces you to import videos to your iTunes library first, only then can you transfer it over to your iPhone.Your video(s) are now on your iPhone.Īpple designed iTunes with the intention that it would be your all in one media library across all your devices (computer, iPhone, iPad etc.) While this has some advantages, it also comes with its own set of problems: Select the video(s) you just imported to your iTunes library and press Apply/Sync.Your video(s) are now part of your iTunes library. Locate the video you want (or folder of videos) and then click Open.Navigate to File > Add to Library or File > Add Folder to Library.Connect your iPhone to your computer using a Lightning-to-USB cable.It is, after all, Apple’s very own solution. Using iTunes is a very popular way of transferring music, photos and videos to your iPhone. We're likely to see more of the game from Ubisoft at E3 2018 - possibly a gameplay reveal or more information about how the developer intends to keep the game alive post-launch. We've only seen one CGI-heavy trailer for the game so far, suggesting the title is still very early in development. 54.99īeyond Good and Evil 2 (XB1) for Xbox One - Preorder 54.99 It's possible that the game could end up being classified as a 'game as a service' in the same way that Destiny and EA's upcoming Anthem are.īeyond Good and Evil 2 (PS4) for PlayStation 4. You can choose to play as a male or female character - and there will possibly be an option to customise your character.īeyond Good and Evil 2 director, Michel Ancel, said that the development team does anticipate there will be a narrative element that includes fixed story events as well as events based on what decisions the player had made in exploring planets. The player will visit planets that have their own societies, and by completing tasks on these planets, will gain new technologies or other facets to improve their spacecraft. ![]() It has more traditional role-playing elements compared to the first game the player will generate a character that starts the game "at the very bottom of the social system", meaning you'll likely have to do quests to improve your socail and economic ranking.Īs the player completes various tasks, they will improve in various attributes, and gain spacecraft and crew members which they can also improve over time. In this new era of piracy, we will rise from lowly pirate to legendary captain at the helm of massive star-faring vessels, adventuring alongside crews of colorful characters to fight for freedom and the right to determine our own fate among the stars!”īeyond Good and Evil 2 is an action-adventure game set in an open world environment and played from a third-person perspective which takes place a few generations prior to the events of Beyond Good & Evil. While private enterprises fight over resources and power, the first colonists weave together the rich and diverse spiritual and cultural heritages of Old Earth to give meaning to their existence. “System 3 has become the center of interstellar trade and colonization in the Milky Way of the 24th century, thanks to the creation of Hybrid slaves. Here's how Ubisoft formally describes the game: That means, in theory, we will see Beyond Good and Evil 2 set the scene for another game - perhaps a title set after the first game, making a full trilogy. The game was concieved by Michel Ancel - the creative force behind the Rayman series - and was supposed to be the first part in a trilogy. ![]() Publisher: Ubisoft Developer: Ubisoft MontpellierPlatforms: UNANNOUNCEDRelease Date: UNANNOUNCEDīeyond Good and Evil 2 is a prequel to Ubisoft's cult hit game that released for PlayStation 2, Xbox, Gamecube and PC in 2003. ![]() Ressource Washi tape edition, green striped strap, png 432x432px 7.36KB.Ressource Washi tape edition, pink ticket illustration, png 432x432px 4.44KB.Ressource Washi tape edition, white and gray chevron illustration, png 432x432px 50.45KB.Ressource Washi tape edition, ticket, png 432x432px 2.93KB.assorted-color striped color illustration, Paper Adhesive tape Washi Tape Scrapbooking, TAPE, angle, ribbon png 648x576px 167.9KB. ![]() Ressource Washi tape edition, green and white striped pattern, png 432x432px 33.42KB.Adhesive tape Washi Material Computer font, washi tape, text, rectangle png 1500x1500px 483.25KB.Ressource Washi tape edition, pink label illustration, png 432x432px 3.31KB.Ressource Washi tape edition, pink polka-dot strap, png 432x432px 21.27KB.Washi Tape, white paper, png 1384x478px 409.29KB.kinds of Washi Tape Digital Free, png 1000x214px 14.3KB.Adhesive tape Washi Masking tape Ribbon, ribbon, ribbon, text png 1024x1024px 158.1KB.Ressource Washi tape edition, gray bandage, png 432x432px 27.08KB.Ressource Washi tape edition, cheese, png 432x432px 6.62KB.Line Angle, Washi tapes, blue, angle png 936x281px 228.18KB.kinds of Washi Tape Digital Free, white and green leaf print washi tape, png 1000x214px 83.25KB.kinds of Washi Tape Digital Free, png 500x149px 17.67KB.Adhesive tape Paper Washi Tool Dieting, angle, white png 1600x1600px 122.11KB.kinds of Washi Tape Digital Free, png 500x150px 8.72KB.Washi Tape, red surface, png 1429x433px 474.61KB.Washi Tape, brown graphic art, png 1336x454px 373.83KB.kinds of Washi Tape Digital Free, green and white polka dot washi tape, png 500x149px 16.16KB.brown adhesive tape, Paper /m/083vt Line Wood, washi tape, rectangle, material png 1294x435px 409.55KB.Washi Tape, white butterflies illustration, png 1004x418px 330.14KB.Adhesive tape Paper Washi, Clear Tape s, rectangle, magenta png 3600x3600px 324.15KB.Washi Tape, rectangular beige plank, png 1294x435px 409.55KB.Washi Tape, pink and red ribbonm, png 1002x463px 330.25KB.Rectangle Material, Washi tapes, angle, yellow png 886x397px 260.63KB.Washi Tape, newspaper article, png 1264x379px 484.63KB. The crash ‘em up derby races was never my thing, but if you liked that mode from the first two, you will probably like the version here. The rag-doll physics-based gameplay is obviously showing its age, but playing beer pong or miniature golf with your own flailing (dead?) body can be fun in short bursts. There is also an over-the-top stunt mode which retains a lot of the heart from the original FlatOut title. In what felt like an effort to stretch out the career mode, they made the payouts stingy and the extra cars hard to obtain, but there just isn’t enough original tracks or fun to be had to justify the grind. When I saved up my winnings to buy a car in the next tier, you can imagine my disappointment when the track familiarity remained, and the car seemed to be little more than a slightly faster, less rusty version of the first. Worse than that, the game does little to explain how to unlock the many locked cars that just set there, grayed out, teasing me. The problem was you can’t miss that the subsequent tracks quickly begin to rehash many of the same sections and it takes forever to unlock new cars. ![]() So to recap, the over-the-top arcade handling feels good, those first few tracks impress and the music feels just right, and yet the career mode still managed to lose me. Also, the soundtrack does a good job of bringing back that old-school racing feel from the last few generations, simply swapping out the Nu-metal and rap metal from my youth with some decent, yet fairly obscure alternative rock. It is a FlatOut title, so the other cars trying to kill you is a give in, but the ease at which they seem to be able to spin you out did get a bit frustrating. Those first few tracks look pretty, have a ton of old buildings and haystacks to plow through, and they do a good job of offering you multiple shortcuts, which came in handy to avoid the ultra-aggressive AI. The sense of speed when you hit the nos feels satisfyingly intense, and the collisions are aplenty and unavoidable. ![]() Obviously, FlatOut 4 is an arcade style racer and not a driving simulator, and it tackles this job fairly well. I spent 8,000 of my 10,000 budget on a rusty VW Beetle, spent the last 2 grand on upgrades and got to racing. This lack of options would soon become a theme, but at the time, all seemed cool and I was anxious to get behind the wheel. In what turned out to be a precursor of things to come, you can only choose between two cars at the outset. Once popping in the disc, I went straight to the career mode, which is broken into 3 tiers: You start out with the derby mode, which is a bunch of rusted out classics. I can almost imagine the rallying cry at Kylotonn: All right, gang, there’s no way we can screw this up worse than the last one, so let’s do this thing! That’s probably not how it went down, but the good news is, FlatOut 4: Total Insanity is not as bad as FlatOut 3. I’m talking legendarily bad, but Kylotonn is new to the series and should be commended for breathing life into a series that, by all rights, should probably be dead. ![]() It’s a testament to the team at Kylotonn that FlatOut 4 is even here. ![]() With high quality, legal conversions of any video to MP3, you'll be able to listen on any device without having to be connected to the internet. All the popular platforms and formats are available to be converted with Movavi Video Converter and offer one of the safest and most error-free ways to export your video, photo, and audio files to any desired format. Movavi Video Converter is a good, "fast as lightning" conversion software that's free, simple, and offers some of the best flexibility on the market. such as the iPod and Apple TV and TiVo Series3 SD and HD, and for services such as YouTube and Vimeo. 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