![]() ![]() It is written in a robust style that gives the student the opportunity to continue his study at a higher level beyond what a course would usually offer. More advanced material in the second half of the book, including appendices, also serves more experienced students well.įurthermore, this text is also suitable for a seminar for graduate students, and for self-study. The first half of the text is suitable for a university-level course, without the need for referencing other texts, as it is completely self-contained. Riemannian connections, brackets, proof of the fundamental theorem of Riemannian geometry, induced connection on Riemannian submanifolds, reparameterizations and speed of geodesics, geodesics of the Poincare's upper half plane.This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject. Proof of the existence and uniqueness of geodesics. Integration on manifolds, definition of volume, and proof of the existence of partition of unity.Ĭonnections, covariant derivative, parallel translations, Foucault's pendulum, and geodesics. The notion of distance on a Riemannian manifold and proof of the equivalence of the metric topology of a Riemannian manifold with its original topology. Proof that RP n is oreintable for n odd and is not orientable for n even.ĭefinition of a Riemannian metric, and examples of Riemannian manifolds, including quotients of isometry groups and the hyperbolic space. ![]() Proof of the nonorientability of the Mobius strip and the nonembeddability of the real projective plane in R 3. Various definitions of orientability and the proof of their equivalence. Proof of Sard's theorem (not yet typeset, but contains some exercises). Regular values, proof of fundamental theorem of algebra, Smooth manifolds with boundary, Sard's theorem, and proof of Brouwer's fixed point theorem. Proof of Whitney's 2n+1 embedding theorem. Proof of the smooth embeddibility of smooth manifolds in Euclidean space. Proofs of the inverse function theorem and the rank theorem. Characterization of tangent space as derivations of the germs of functions. Proof of the embeddibility of comapct manifolds in Euclidean space.ĭefinition of differential structures and smooth mappings between manifolds.ĭefinition of Tangent space. Proofs of the Cauchy-Schwartz inequality, Heine-Borel and Invariance of Domain Theorems.ĭefinition of manifolds and some examples. Review of basics of Euclidean Geometry and Topology. The Gauss-Bonnet theorem, and its applications. Mainardi equations, and Theorema Egregium revisited.ĭefinition of geodesic curvature, and the proof that it is intrinsic. Self adjointness of the shape operator, Riemann curvature tensor of surfaces, Gauss and Codazzi The covariant derivative and Lie bracket Riemann curvature tensor and Gauss's formulas ![]() Riemann curvature tensor, and a second proof of Gauss's Theorema Egregium. Gauss's formulas, Christoffel symbols, Gauss and Codazzi-Mainardi equations, Intrinsic metric and isometries of surfaces, Gauss's Theorema Egregium,īrioschi's formula for Gaussian curvature. Ratio of areas, and products of principal curvatures. Interpretations of Gaussian curvature as a measure of local convexity, Gaussian curvature, Gauss map, shape operator, coefficients of the firstĪnd second fundamental forms, curvature of graphs. ![]() Torsion, Frenet-Seret frame, helices, spherical curves. The four vertex theorem, Shur's arm lemma, isoperimetric inequality. Osculating circle, Kneser's Nesting Theorem, total curvature, convex curves. General definition of curvature using polygonal approximations (Fox-Milnor's theorem).Ĭurves of constant curvature, the principal normal, signed curvature, turning angle, Isometries of Euclidean space, formulas for curvature of smooth regular curves. Basics of Euclidean Geometry, Cauchy-Schwarz inequality.ĭefinition of curves, examples, reparametrizations, length, Cauchy's integral formula, curves of constant width. ![]()
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![]() ![]() Note that, although you are anonymized, you still need to be careful with your personal data. This new IP address cannot be tracked back to your identity or your real IP address. partly automatically: If you choose a specific country, the server to be used will be activated automatically by CyberGhost, again based on an internal load balancing system.Īfter being successfully connected to a server, CyberGhost displays the country you are surfing from, the name of the server in use, and its IP address. completely automatically: If you use the 'Best Location' option, the country as well as the server to be used will be chosen by CyberGhost, based on an internal load balancing system, which takes account of performance as well as protection levels. If you choose a specific country, CyberGhost automatically connects to the best suited server in this country.ĭepending on the connection type valid (as can be seen directly below the power button), a VPN connection will be initiated either. Go for any country, return to the main screen and fire up your connection now. Just click on the yellow power button while connecting.Īlternatively, choose a country by tapping on the connection description between 'Connect to' and the little downwards showing arrow: Note: To cancel your connection you don't have to wait until the connection process ends. ![]() To activate your VPN tap on the yellow power button (while the connection mode is in 'Best Location'). The app will open with the main screen, stating you are not connected to the VPN network yet. To start using CyberGhost, simply start the app via your home screen. ![]() ![]() ![]() Free of: gluten, wheat, dairy, soy, yeast, sugar, sodium, artificial flavor, sweetener, preservatives and color. Is Solgar vitamin D3 vegan? Suitable for vegans. Is Swisse vitamin D vegetarian? Advanced source of Vitamin D, Vegan & Vegetarian: The Vitamin-D component in Swisse Ultiboost Vegan Calcium+ Vitamin D is made from Lichen cladonia rangiferina, the most advanced source of Vitamin D, derived from an organic plant based algae. … Is cyanocobalamin vegan? Vitamin B12 cyanocobalamin supplements are made without using animal produced ingredients, where as natural vitamin B12’s are made using anaerobic microorganisms (bacteria) that are common inside the gastrointestinal tract of animals. What type of gelatin is used in vitamin D3? Nature’s Bounty Vitamin D3 10,000 IU contains gelatin which is sourced from bovine (cow). What is Ergocalciferol made from? Ergocalciferol (vitamin D2) is obtained from plant sources or dietary supplements derived from irradiated fungi, and cholecalciferol (vitamin D3) is produced by synthesis in the skin with ultraviolet B light exposure, from animal sources, or dietary supplements. ![]() Which vitamin D has no gelatin? Halal Vitamin D3 Gummies 2000 IU | 90 Gummies, 45 Servings | Vegetarian, Non-GMO, Gluten-Free, Gelatin-Free, Dairy-Free | Support For Bones, Muscles & Immune System | SHIFAA NUTRITION. 25 Where do you get vitamin D vegan? Is Ergocalciferol vegan? 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If you like this software and want to see it improved more often, consider supporting me on Patreon or through another channel: Tip Crypto readme.md I've put hundreds of hours into this and I love being able to give it away for free. Build Publish Bugs Hidden by fullscreen apps Workaround Graphical issues on Linux Hidden by fullscreen apps on Linux Debugging Command-line lags -debug -reset -version Credits Support this project This project is entirely developed, built, and maintained by one person. ![]() If you have nvm installed, run nvm install & nvm use to switch to the correct node version. To un-quarantine: Development Run You will need node.js v14.x.x installed. Settings Crosshair Reticle Hide on ADS Harware acceleration Start on boot Automatic Updates Keybinds Duplicate crosshairs Reset What works/doesn't work (compatability) ❌ Most games don't work in Fullscreen mode on Windows or Linux Operating Systems Newer MacOS' may quarantine the CrossOver.app package. Linux: Some distributions do not center on double-click. Windows Mac Linux Further instructions for Windows and Mac Usage Default Keyboard Shortcuts Mac: the Option key is used instead of Alt. Windows Defender and Mac Gatekeeper will prevent you from running the app the first time. Click the arrow icon -> Keep to finish downloading. This means Chrome may warn about an untrusted download, this is normal. CrossOver Download CrossOver for Windows All Downloads (Mac, Linux, Windows) To Use CrossOver: Control-Alt-Shift-X Mac: Control-Option-Shift-X Documentation Download View All Dowloads (for any OS) Windows Mac Linux Quick Start Features Download CrossOver for Windows View all dowloads for any OS Thanks to Reddit user /u/IrisFlame for the premade library of crosshairs! Install Download the latest version of CrossOver from the releases page Because this app is Free and Open-Source, we cannot afford to sign our code. ![]() ![]() ![]() ![]() Many users complain of other problems with the software, independently of the internet connection. The quality of calls and videos is dependent on your internet connection - if it’s good, call quality is perfect and if it’s bad, it’s a subpar experience. It’s pretty easy to find your way around once you’ve added your contacts but make no mistake - adding these contacts in the first place is one of Skype’s greatest challenges. Even though it’s regularly updated, it is reminiscent of software from the early 2000s, with cutesy emoticons and a soft, rounded feel. Visually, Skype for Mac is acceptable but not great. It lets you make telephone and video calls to anyone else using the software and, for an extra charge, to “normal” telephone numbers too. In case you’ve managed to avoid the app until now, Skype is VoIP (voice over internet protocol or internet calling) software. Skype for Mac has been around for years and has changed from being a piece of must-have software to something that’s no longer everyone’s first choice when they want to call someone online. However, if you’re short on budget, the expensive plans could be a deterrent.Power or bloat? That’s up to you to decide. Since the platform integrates with every Microsoft tool, it can be used seamlessly to perform several functions. ![]() For established companies, Microsoft Teams can be an excellent choice. With instant messaging, interactive features, and lightweight architecture, it’s perfect for small businesses and startups. For instance, Slack is a good choice, and comes with the simplest UI in the business. While Skype is a great tool, you could also check out a few other alternatives. You can download the app on Android, iOS, and Windows. Skype For Business is available on multiple platforms and allows seamless cross-device collaboration. However, this service is supported in limited regions, and could turn out to be quite expensive in the long run. With the platform, you can also make phone calls to landline and mobiles. While the app supports files less than 300 MB in size, it’s still a good function for cross-team collaboration. Skype For Business allows you to receive and send files with convenience and ease. Quick sharing, accessibility, and phone calls Additionally, the ‘Search’ function lets you access certain parts of your conversations easily. All these elements add flavor to your chat messages. With Skype For Business, you can set up free video conferences and meetings with multiple participants.įor an instant messaging app, Skype comes with all the standard features, such as emojis, reactions, GIFs, and more. Moreover, there are other interactive features like real-time translations, live subtitles, and more. With this tool, you can effortlessly make high-quality video and audio calls. Since it’s primarily a communication tool, Skype For Business focuses on calling and video functionalities. ![]() From thereon, you can use additional features, including collaboration tools and fun emojis. All you need to do is select a contact from the list and initiate an instant chat, make a call, or share your screen. Integrates well with core Microsoft products, including Outlook!Īmong video conferencing and calling apps, Skype For Business comes with a simple and clean interface. ![]() ![]() ![]() Charles Mintz served as a middleman producer between Disney and Universal through his company, Winkler Pictures, for the series of cartoons starring Oswald. Mickey Mouse was created as a replacement for Oswald the Lucky Rabbit, an earlier cartoon character that was created by the Disney studio but owned by Universal Pictures. The sketches are the earliest known drawings of the character. ![]() ![]() Ĭoncept art of Mickey from early 1928, from the collection of The Walt Disney Family Museum. In 2009, Disney began to rebrand the character again by putting less emphasis on his friendly, well-meaning persona and reintroducing the more adventurous and stubborn sides of his personality, beginning with the video game Epic Mickey. Though originally characterized as a cheeky lovable rogue, Mickey was rebranded over time as a nice guy, usually seen as an honest and bodacious hero. Mickey generally appears alongside his girlfriend Minnie Mouse, his pet dog Pluto, his friends Donald Duck and Goofy, and his nemesis Pete, among others (see Mickey Mouse universe). He appears in other media such as video games as well as merchandising and is a meetable character at the Disney parks. Mickey also features in television series such as The Mickey Mouse Club (1955–1996) and others. Mickey has also appeared in comic books such as Mickey Mouse, Disney Italy's Topolino and MM – Mickey Mouse Mystery Magazine, and Wizards of Mickey. The Mickey Mouse comic strip, drawn primarily by Floyd Gottfredson, ran for 45 years. In 1978, Mickey became the first cartoon character to have a star on the Hollywood Walk of Fame.īeginning in 1930, Mickey has also been featured extensively in comic strips and comic books. Ten of Mickey's cartoons were nominated for the Academy Award for Best Animated Short Film, one of which, Lend a Paw, won the award in 1941. Mickey appeared primarily in short films, but also occasionally in feature-length films. The character went on to appear in over 130 films, including The Band Concert (1935), Brave Little Tailor (1938), and Fantasia (1940). The character was originally to be named "Mortimer Mouse", until Lillian Disney instead suggested "Mickey" during a train ride. Mickey is one of the world's most recognizable and universally acclaimed fictional characters of all time.Ĭreated as a replacement for a prior Disney character, Oswald the Lucky Rabbit, Mickey first appeared in the short Plane Crazy, debuting publicly in the short film Steamboat Willie (1928), while it was third cartoon featuring Mickey to be produced, it was also one of the first sound cartoons. The character's status as a small mouse is personified through his diminutive stature and falsetto voice, the latter of which was originally provided by Disney. Taking inspiration from silent film personalities such as Charlie Chaplin's Tramp, Mickey is traditionally characterized as a sympathetic underdog who gets by on pluck and ingenuity in the face of challenges much bigger than himself. The longtime mascot of The Walt Disney Company, Mickey is an anthropomorphic mouse who typically wears red shorts, large yellow shoes, and white gloves. Mickey Mouse is an American cartoon character co-created in 1928 by Walt Disney and Ub Iwerks. ![]() ![]() ![]() This contemporary knob placement is both aesthetically pleasing and easy for installers. Most cabinet knobs today are installed by lining up the installation hole with the edge of the rail. Where do you put everything? There are a few factors that come into play including the cabinet style, size, and use. You've picked out your cabinet hardware and it's time to install. Use longer pulls for extra-tall cabinets such as pantries.įor ultra-modern cabinetry, you can use extra long pulls that span nearly the entire width of each cabinet. Generally, pulls between 5 - 7" for uppers are a safe choice - go larger for a more contemporary look. When in between sizes, size up.Ĭabinet doors do not follow the 1/3 rule. Using a pull that is approximately 1/3 the length of the drawer is a good rule of thumb. This can offer a cleaner, more contemporary appearance and it also is easier to operate your drawers with. Rather than using two pulls on wide drawers, you can use a single pull that is longer in length. If you choose to use a smaller size throughout, we highly recommend using two pulls on wide drawers. Their slightly longer length offers a more updated appearance, while still being small enough to fit onto most drawers. 5" - 6.5" pulls are also an excellent choice. This size looks pleasing on most cabinets, while still being large enough to grip comfortably. There is no right or wrong size to choose, but we do recommend choosing pulls that have at least a 3-3/4" center to center (the distance between the screw holes). One of the most popular options is to pick one size and use it throughout your cabinetry. Keep in mind that the longer the pull, the more contemporary the appearance. There are many options for sizes and many configurations to choose from. For an impressionable oversized appearance, choose something larger. So, which should you pick? Knob Sizesįor knobs, 1-1/4" is always a safe bet. So you've decided between knobs and pulls, now you must pick a size. Kichen by Studio McGee featuring the Cotswold Ball Knob Their smaller size is proportional to the shorter door height and having a row of knobs or latches can add visual interest and character. It simply comes down to personal preference.įor double stacked cabinetry, we typically recommend using knobs or cabinet latches on the top row of cabinetry. Note that neither option mentioned is more superior than the other. The second option we recommend if using a combination of knobs and pulls is to put knobs on all doors and pulls on all drawers. The first suggestion is to put knobs on all upper cabinets and pulls on all lower cabinets. To make the combination look harmonious, we suggest one of two options. Click here to shop some of our favorite pulls.įor the best of both worlds, use a mixture of knobs and pulls. With so many unique designs, it is easy to give your cabinets a designer touch. Lastly, pulls are available in a wider selection of designs than knobs. Pulls also reduce the amount of contact your hands have with your cabinets, which helps to keep your cabinetry clean. First, pulls are typically a little easier to use than knobs, making them an excellent choice for homes with weak or arthritic hands. Click Here to shop some of our favorite knobs.Ĭhoosing pulls has a number of benefits. If you have stunning cabinetry, or a beautiful backsplash that you'd prefer to have shine, you may want to choose knobs. Knobs are typically small in size, giving them a more subtle appearance than pulls. There are four options we recommend: All Knobs ![]() The first decision you must make is if you'd like to use knobs, pulls, or a mixture. While there are no hard and fast rules of what is right and wrong, there are some general guidelines that can be followed to ensure your hardware is proportional and well placed on your cabinets. Some of the most common questions we hear about cabinet hardware are, "What size do I get?" and "Where do I put them?". ![]() ![]() ![]() ![]() Yet, because Cooper is such a pro at modulating his music, the low-intensity Whirring and its varying levels of minimalism never scare off the listener. ![]() If there’s any doubt as to who is the centrifugal force in Eluvium, Cooper contributes pianos, synthesizers, vocals, virtual instruments, modular synths, samples-not to mention some additional orchestration of his own. Nonetheless, Eluvium’s 13th effort is the fullest representation yet of Cooper’s outlandish compositions, as it’s his first album to feature a live orchestra (he’s joined here by five fellow musicians as well as a scoring orchestra). From then ’til now, he’s crafted a dozen full-lengths that are often tagged as “experimental ambient music” (a redundant name for a genre, if there ever was one). Matthew Robert Cooper initiated his Eluvium project in 2003. Eluvium’s new (Whirring Marvels In) Consensus Reality is a quiet masterpiece that fits the bill. With that in mind, there’s no better time for all of us to shut up and commune with instrumental music of the inviting, soothing, and healing variety. At the same time, never in the course of human history have people failed to listen to others as much as they do today. From incessant and often toxic chatter on social media to cell conversations broadcast on speakerphone, everyone wants their voice to be heard-not just by friends and family, but by the entire world. Never in the course of human history have people talked as much as they do today. ![]() |