![]() ![]() It really is a shame that I hadn’t.īut I can’t assign this to the undergraduates at UNI. I wish it had been my textbook and that I had read any of it before yesterday. The current text requires a more advanced reader. The book by do Carmo is a clearly written exposition of differential geometry with a viewpoint similar to this one, but at a more advanced level. But in the bibliography to O’Neill’s book, he has this little bit to say: I won’t include the MathSciNet review for this book, as it doesn’t say anything useful. (Maybe I have to exclude graph theory stuff.) What O’Neill Said I would bet that most of these theorems would be more recent than anything else in a typical undergraduate curriculum. I skimmed through the final chapter and noted Liebmann’s theorem on the rigidity of the sphere, the Hopf-Rinow theorem on complete surfaces, Bonnet’s theorem on the compactness of positively curved complete surfaces, theorems of Hadamard on simply connected surfaces having curvature bounds, Hilbert’s theorem on the impossibility of embedding the hyperbolic plane as a regular surface in Euclidean three-space, some global theorems on curves, and more. (Mashed potatoes and homemade gravy! Pumpkin Pie! Pecan Pie!) Certainly more than in the other books I have read so far. Many landmark results in differential geometry show up in the final chapter. This book has been adopted by so many different classes at strong universities over the last forty years that I am sure you can find every exercise discussed in detail somewhere on the internet. In each case the relevant properties are carefully discussed. For example, the sphere shows up at least four times in the chapter: on page 55 to discuss its construction via overlapping coordinate patches on page 86 to exhibit the idea of a tangent plane on page 95 where we compute the first fundamental form and on page 104 where we see it as an oriented surface. I especially like the fact that examples reappear. The discussions are clear and there are ample examples and exercises. There is an appendix to the second chapter with a short review of the notions of continuity and differentiability for functions from one Euclidean space to another, but the author really just supposes that you are ready to talk at this level.Ī figure on the construction of the tangent plane Assuming that students have seen the inverse function theorem in several variables is not workable at UNI by a long shot. This is too high a bar for most undergraduate classes in the United States. ![]() Points of Noteĭo Carmo assumes that his readers have some experience with advanced calculus, and even some basic analysis. I read chapter two, because that is where surfaces are introduced. And there is lots of good stuff on surfaces! Essentially all of the theorems I learned in a first year Riemannian geometry course in graduate school makes an appearance here in the special case of a surface. The essentials seem to be there, but do Carmo wants to move on and get to some surfaces. For me, it is a bit like going home for Thanksgiving.Īs you can see, curves get short shrift. ![]() A simple Google search also yields a lovingly compiled list of errata.īecause I used this books brother at a formative stage of my mathematical training, reading it is very comfortable. The text is published by Prentice Hall, which these days is an imprint of Pearson. (The two books are sometimes referred to as “baby do Carmo” and “grown up do Carmo” when it is not otherwise clear which one is being discussed.) The course I took did not use this, but I used do Carmo’s Riemannian Geometry as a text during my first year of graduate studies. I know many people who were taught from it as undergraduates. This text is very popular with professional mathematicians, and it has been a standard for a long time. It is time to look at a classic: Manfredo do Carmo’s Differential Geometry of Curves and Surfaces. Do Carmo’s Differential Geometry of Curves and Surfaces ![]()
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![]() ![]() The quality and sheer number of stock devices that it comes with is amazing. I haven't been able to crash it yet but I'm still working on it. It has never crashed on me and I never have glitches with it. It does everything you need it to do to make music, period. I cranked it up again and it just clicked with me. I had it for several years but used other DAWs. I have been using Logic for about six months straight now. If you have a Mac and make music this is the DAW you want. Export and share your songs directly to SoundCloudĦGB available storage space for minimum install / 72GB storage space for full Sound Library installation.Export your spatial audio mix as a Dolby Atmos ADM file compatible with Apple Music.Import and export XML to support Final Cut Pro workflows.Share to GarageBand option allows you to remotely add new tracks to your Logic project from your iPhone or iPad via iCloud.Expand your instrument and effects library with third-party Audio Units-compatible plug-ins.14,750 Apple Loops in a wide range of genres.Over 5,900 instrument and effect patches.Add movement to your tracks with a variety of modulation effects.Play your sounds through a variety of realistic acoustic spaces or creative synthesized reverbs.Access a professional collection of vintage and modern delays, EQs and compressors.Design a custom Pedalboard from a collection of delay, distortion, and modulation stompboxes.Build your own guitar or bass rig with Amp Designer using vintage and modern amps, cabinets, and mics.Play faithful models of classic organs, keyboards, and vintage synths.Instantly turn a simple chord into a rich performance with the Arpeggiator.Quickly find sounds or create unique new ones with Alchemy, a powerful sample manipulation synthesizer. ![]() Get inspired by collection of synths that provide analog, wavetable, FM, additive, granular, spectral, and modeling synthesis.Import a single audio file or record directly into Quick Sampler to instantly build a playable instrument.Use Sampler to quickly create and edit sophisticated multi-sampled instruments.Create authentic acoustic, electronic, or hip-hop drum tracks using Drummer, a virtual session player and beat producer.Program beats, bass lines and melodic parts using Step Sequencer.Use Drum Machine Designer to build and perform your own custom kits.Produce simple lead sheets or orchestral scores with built-in Score editor.Perform and mix from anywhere in the room using Logic Remote on iPad or iPhone.Use Smart Tempo to import audio and have it automatically conform to your project BPM.Manipulate the timing and tempo of any recording with ease using Flex Time.Fix out-of-tune vocals and change the melodies of recorded audio with Flex Pitch.Track Alternatives let you create and switch between different playlists of regions and edits on a track.Keep takes organized with take folders and build comps quickly with Quick Swipe Comping.Record and edit MIDI or audio using a comprehensive set of editors and tools.Use Live Loops to capture inspiration and quickly build arrangements by mixing and matching loops, samples, and your recordings.Use a complete set of spatial audio authoring tools that provide everything you need to mix and export your music for Dolby Atmos.Logic Pro includes a massive collection of instruments, effects, loops and samples, providing a complete toolkit to create amazing-sounding music. Logic Pro is a complete collection of sophisticated creative tools for professional songwriting, beat making, editing, and mixing, built around a modern interface that’s designed to get results quickly and also deliver more power whenever it’s needed. ![]() ![]() ![]() Activate your Xbox One Game Code on your XBox Live account to download Kerbal Space Program. Doesn't look updated but I'll give it a look. Buy Kerbal Space Program Xbox One Digital Edition Game Code Compare Prices. I see there's a mod for mouse control at least. I hope this all explains better what I'm trying to ask about. You have to design the whole thing around the lack of precise controls. It makes a big difference especially in things like planes. So far, I the answer seems no, made even more annoying by the fact that mods like Mechjeb seem to have that. This is what I'm wondering if anyone has achieved in KSP. Steering wheels allow precise control that allows cars to stay on a road with ease. Kerbal Space Program Enhanced Edition is now available for PlayStation 5 and Xbox Series, publisher Private Division and developers Squad and Blitworks. If cars could only turn 100% left or right, they would be zig zagging all down the road in a struggle to stay on it. Imagine driving a car with KSP control vs a steering wheel. Xbox Series S runs Kerbal Space Program at 1080p and also boasts better framerate. Instead of 0% OR 100% rudder, or elevon, 0% TO 100% and every % in between AKA analog control. Playing Kerbal Space Program Enhanced Edition on PlayStation 5 and Xbox Series X results in a technical boost, with the action running at Quad high definition 1440p and an improved framerate over previous console versions. 12.73 Mortal Shell: Enhanced Edition XBOX LIVE Key TURKEY 13.98. ![]() youll have a chance to try Kerbal Space Program mods created by the community. Xbox one enhanced kaina Kerbal Space Program (Enhanced Edition) XBOX LIVE Key GLOBAL. Xbox One/Series Kerbal Space Program - Complete Bundle Enhanced Edition EN EU. "While digital sticks rely on single electrical connections for movement (using internal digital electrical contacts for up, down, left and right), analog sticks use continuous electrical activity running through potentiometers to measure the exact position of the stick within its full range of motion." Experiment and use your creativity to help develop the Kerbal Space Program. I'm wondering if there is any analog support for KSP inputs. I know anything will work so let me try to clarify what I mean. ![]() ![]() ![]() Kaikoura is popular for whale tours and helicopter flights! If you’re a wine person, drink up some Sauvignon Blanc at the Marlborough Sounds. Find a cheap place to stay in Christchurch, but then move on – Christchurch isn’t worth a long visit. If you’re backpacking New Zealand for nature, this South Island itinerary for you. Then go to the Waitomo Caves: damp, underground tunnels home to glowing worms! Before getting back to Auckland, surfers should stop at Raglan, the hippy beachside slow-town of North Island.ġ. If you’re a wino, drive through Hawke’s Bay Wine Country on your way to Wellington.Īfter visiting Wellington, loop back around to Mt Taranaki, a classic 2,518m volcanic cone. Next stop: a stay in Wellington, the cool, hipster capital of New Zealand known for its food, drink, and art. This is a great spot to bike and New Zealand’s great walks. You can also engage with the indigenous Maori culture.įurther south you’ll find Taupo and the epic Tongariro National Park. Then head to Rotorua, a geothermal hotspot (no pun intended) full of geysers, mud pools, and, yes, smelly sulfur. ![]() You can also make a trip to Hobbiton, the real live set they used to film the Hobbit wonderland in Lord of the Rings. This is also a great place to base yourself if you’re making the trip to the Bay of Islands (north), the Rangitoto Islands just off the coast of Auckland, or Coromandel, slightly East. If you’re a city person, you can definitely find plenty of things to do in Auckland – restaurants, nightlife, galleries, and nearby beaches galore. Dramatic prehistoric scenery, endless oceans of sheep and cows, and the feeling of being outside of the world’s chaos: South Island is the tits.ġ. Near empty of people by comparison – and it only gets emptier the further south you go – South Island brings New Zealand’s best. There are a lot more developments and urban areas and while there are still many of New Zealand’s beautiful places, it lacks the uncut, untamed, and unabashed glory we’ve come to expect from Aotearoa. North Island is much more populated (by New Zealand standards).That’s what makes deciding where to stay in New Zealand a real struggle. That said, travelling on New Zealand’s North and South Islands are two different experience. It’s fair to say that everywhere in New Zealand is mindbogglingly beautiful (except Auckland – curse you Auckland). The two islands do stand in noticeable contrast to each other. Made up of two islands, your adventures are infinite. Travelling in New Zealand is every outdoor enthusiast’s dream. Made famous by the dramatic, unearthly scenery in Lord of the Rings, New Zealand is more than just an unbelievable movie set. Jurassic Park or a hike in New Zealand? Why Go Backpacking in New Zealand? All that’ll be left is buying a plane ticket and that dream campervan you’ve always wanted.īecause New Zealand was made for the vanlife. By the end of this guide, you’ll have everything you need for New Zealand. I’ll go over what to do, where to stay, and how to travel in New Zealand cheap. I’ve spent more than six months exploring this INCREDIBLE land and here is all my knowledge in this neat little koha: the one-stop travel guide for New Zealand! ![]() ![]() I landed in January with a year-long visa and felt a bit like Bilbo Baggins: it was to be a hobbit’s journey! And what an adventure it has been backpacking New Zealand on a budget. Broke adventures resulted in great stories, new friends, and unforgettable experiences. It may seem like an expensive country but (with a bit of imagination) it’s possible to travel New Zealand on a shoestring budget. Truly, New Zealand is a country kind to the penniless vagabond. The best experiences I’ve had whilst backpacking New Zealand have been when I was completely broke, hitchhiking, or meeting people who convinced me to ditch my plans and follow my adventurous instinct. Oh, and amazing scenery that makes you weep. Or… New Zealand! Land of Kiwis and hobbits. ![]() ![]() ![]() The heavy-duty commando is holding his own for now, but his ammo’s low and he’s about to be vomited on by a huge, bloated monster. The sharpshooter up on the ledge doesn’t see the cloaked enemies sneaking up behind her. You might look around and see that, over by the bus, a zombie is gnawing on the medic’s leg while others close in for a bite. The Walking ZedKilling Floor is great at replicating those moments in movies where everything is going very wrong for our heroes. Gearing up, putting together a balanced team, and seeing how well you do remains fun time after time. Once you do find a few classes you like, you can really dive into what Killing Floor is all about: killing stuff with your friends, earning money (or “Dosh”), buying better guns and armor between rounds, and doing it all over again. If you’re into Killing Floor for the long haul, it might matter, but the bonuses I saw from this throughout 15 hours of play were negligible. You can level up classes you aren’t even playing, which is a good touch, but that progress is very slow and it forces you to buy odd weapons or play in ways that don’t line up with your equipped class. “So, if you’re interested in a class but you’re not sure if it fits your style, you can easily put in the time of a short-ish shooter campaign only to learn that you don’t care much for it. I felt incredibly strong and useful, as I did with each class given enough time to unlock their abilities. ![]() The first class to hook me was the Field Medic, which passively gains armor and movement speed, wields weapons with secondary-fire healing darts, and gains the ability to self heal while healing others. With that mindset clearly front and center for developer Tripwire, Killing Floor 2 delights on the back of its great gameplay.Killing Floor’s 10 classes, awkwardly referred to in-game as “perks,” are distinct and fun to play, and putting together a good team has a huge impact on whether you’ll succeed. It’s not a buffet though it’s comfort food, meant to be eaten again and again and again. However, zoom out from the gorefest a bit and you’ll see Killing Floor 2 is also an online shooter with only two modes, two boss battles, and some unnecessary time sinks. It’s a fast, fun co-op shooter with cool classes, satisfying guns, and aggressive, grotesque enemies, all doused in fitting heavy metal music. ![]() The few things it does, it does boldly and unabashedly well. Continued abuse of our services will cause your IP address to be blocked indefinitely.Killing Floor 2 wears its heart on its sleeve-a bold move considering there’s no ace stuffed up there. 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![]() ![]() About Isla's Parent's Previous Relationships So, he didn't want to miss his daughter growing up. Johnny English actor Rowan, was 62 years old when his youngest daughter Isla was born. Isla is blessed to have a father who would put his work on hold to be with her. The Sun has reported that Rowan was more than happy to be at home for Isla while Louise would be out making money. However, her mother Louise continued with her work. Rowan took that decision because he wanted to be there for his daughter. Isla made her father, Rowan Atkinson take a break from acting for a year. Rowan Atkinson Took Break From Acting For His Daughter She has also worked in a family movie, Tooth, and a short film, The Fifty Cent Smile. She is an actress and has even worked with her father Rowan on two of his films, Johnny English Reborn and Mr. Isla's step-sister, Lily was born on July 11, 1995. Isla Atkinson's step-sister, Lily Sastry (Source: Lisa Gibson YouTube Channel)ĭailyMail reports that Isla's step-brother Benjamin wanted to join the military after he spent three months in Nepal. He took a completely different career path than his father as he joined the military. Their names are Benjamin Atkinson and Lily Sastry.īenjamin is the oldest of the three having been born in the year 1993. It is because she does have a stepbrother and a sister from her father's ex-wife, Sunetra Sastry. Isla is the only daughter of Rowan and Louise. Bean also owns a lot of vintage cars, some of them are McLaren F1, Aston Martin V8 Zagato, Ford Falcon Sprint, BMW 328, and Lancia Delta HF Integrale. Her father, Rowan had purchased the house and the land in 2006 and replaced the existing old house with his new home. Isla lives with her parents in a house that is valued at $5.9 Million. Louise's source of income is acting as well. However, the biggest commercially successful film Rowan has worked on is The Lion King, which has made over $760 Million. Bean who he played in multiple shows and movies. Her father's wealth can be mostly credited to his iconic character Mr. Isla Atkinson's father, Rowan Atkinson, and mother, Louise Ford has an estimated net worth of $150 Million & $650,000 respectively. However, the news of them seeing each other only came out in 2014. Isla's parents first met in 2012 while they were working on the play called Quartermaine’s Terms. Isla Atkinson's mother, Louise Ford (Source: Channel 4 YouTube Channel)īoth Rowan and Louise are actors and it was their profession that helped them to cross paths. Her mother, Louise is 26 years younger than Mr. Their relationship has been considered controversial because of the age gap between the two. Isla Atkinson is the daughter of Rowan Atkinson and Louise Ford. A Quick Look AT Isla's Parent's Love Story Both of her sibling's mother is Sunetra Sastry, Mr. He also has an elder sister named Lily Sastry and a brother named Benjamin Atkinson. His father has an estimated net worth of $150 Million. Her father is more popularly known by his other name, Mr. Isla Atkinson is the daughter of legendary actor, Rowan Atkinson and his comedian partner, Louise Ford. ![]() ![]() ![]() Natural grey stone texture and seamless background. Seamless vector texture: dirty and old concrete wall. Thousands of new, high-quality pictures added every day. Wide variety of patterns & colors, in plank flooring & floor tiles. Find Texture Seamless Concrete stock images in HD and millions of other royalty-free stock photos, illustrations and vectors in the Shutterstock collection. Usually, concrete textures are minimalist and simple so that you can use any bold creative fonts for it.Ĭheck out the 31 best concrete textures below and let me know your feedback. This collection is perfect for a quick and seamless. It allows you to edit or customize it through editing apps and add text, images or adjust lights or shadows as per your preference. These patterns will be a perfect choice for websites, typography, lettering, photo effects, branding, and more. download License- For Personal and Commercial Use This Cracked Seamless Concrete Texture gives you a fantastic cracked concrete surface to be easy while working. Bookmark this post to get back to it when you need a unique high-resolution texture. Download the seamless concrete texture, dirty concrete wall 5443209 royalty-free Stock Photo from Vecteezy for your project and explore over a million other. ![]() I have put together all sorts of concrete textures in this roundup. You can use these examples of concrete pavements in every kind of work. There are plenty of concrete textures available on the web: you can find grunge, dirty, white, grey, black, and even stamped concrete backgrounds. ![]() ![]() ![]() This means that everything must be returned exactly as it was sent to you, within reason. A copy of your receipt in the package, and return it to us. Once approved, please send the product back to us, and repackage the item, including all original parts, packing materials, instructions, etc. ![]() If we approve the Return, we will send you a return ticket. Please wait for approval from one of our Customer Service agents before sending any item(s) back to us. Customer Care will call you to confirm details of the product, the fault description, and the address and manner to send the product in question.
![]() Many third-world countries that have struggled with civil strife and governmental corruption have been unable to shift their production possibility curves outward, because the political instability has made it difficult for capitalism and free markets to properly function. People in these countries have little freedom and few opportunities to advance, and the incentive to work hard and innovate is minimal. These countries’ production possibilities curves have shifted out considerably because of freer markets, greater incentives to produce and innovate, and increases in capital stock.Ĭommunist (or command economy) countries, such as North Korea, Venezuela, and Cuba, have experienced far less economic growth than their capitalist counterparts. India has also become more capitalist and opened its borders to increased free international trade in the 1990s. China adopted significant free market elements primarily starting in the late 1980s, and as a result has experienced record growth. Among others, Western Economies, Taiwan, Singapore, China, Vietnam, Chile, the United Arab Emirates, South Africa, and several East bloc countries have increased their production capacities significantly during the past several decades. However, during most years, industrialized countries experience economic growth (an increase in overall production). ![]() When people become more productive (for example, by gaining skills and becoming more educated), the production possibilities curve shifts outward.Īs evidenced by the 2008/2009 recession and the recent pandemic related downturn, we don’t have economic growth all the time. Advances in human technology also stimulate economic growth. Countries that allow entrepreneurs to keep most of these rewards (by limiting taxation and limiting government involvement) have been shown to experience greater rates of technological growth. When lower costs lead to higher profits and greater rewards, entrepreneurs are motivated to continue to improve their products and production processes. Inventions and improvements take place when entrepreneurs have incentives to produce more efficiently and lower their costs. A government can encourage more production of capital goods by, for example, providing tax breaks for the production of capital goods, or by increasing taxes on the production or sale of non-capital (consumption) goods.Īdvances in technology occur because of inventions and improvements in producing goods and services. Looking at the diagram in the previous section, this is reflected by a move from a point on the curve from the lower right to the upper left (for example, from point D to point A, or from point B to point C). ![]() If a country is producing at full employment (operating on the curve), more capital goods can be produced only if the country produces fewer consumption goods. How does a country increase its capital goods, and how does it achieve advances in technology? Let’s take a look at increases in capital goods first.Ĭapital goods are produced just like other goods, such as cars or food. Therefore, economic growth is made possible by advances in technology and/or increases in resources, such as natural resources (land, oil, trees, etc.), workers, and capital goods, including machinery, equipment, assembly lines, office buildings, factories, roads, highways, and airports. ![]() For the curve to shift outward, resources (land, labor, capital, and raw materials) must increase, or we must improve the way we use these resources (technology). ![]() In the graph below, the production possibilities curve shifts outward to the right (for instance, through point F), so that the country’s production capacity level rises. Economic growth occurs when the economy realizes greater production levels. ![]() ![]() ![]() ![]() However, it doesn’t delve too deep into any of the “pain” that those plot points can potentially be sucked into. I’d dare say that this work won’t be as enjoyable with any one of them removed, even the most annoying ones are well portrayed to serve their purpose in the story.Ī coming-of-age story at its core, the story is somewhat bittersweet as the characters deal with “growing pains” during their college years, like peer pressure, jealousy and then some. Not only the MCs, the side characters are interesting, each of them with their own “colour”. It's a joy to read how their clashing personalities complement and collide with each other. The MCs are multi-dimensional and equally likeable in their own ways. I'm all for storylines that are carried along by solid character portrayal and development, and this is one of the better ones out there. The characters are refreshing and hilarious with their unique quirks. This is the aspect that makes Woori a true gem. With the change in environment, amidst college mates of different values and personalities, at the age when senses are awakened to the opposite sex, the two best friends discover what they truly mean to each other, slowly but surely. ![]() after serving two years in the military service. The story starts when Woojin enrols in the same university as Gayoung Woori is about a boy and a girl who became the best of friends in high school, despite being total opposites in character. Here's my version of a (spoiler-free!) synopsis because the one on Lezhin leaves too much guesswork. In terms of target audience, the story falls more towards josei, yet you'll also get the sweet, fuzzy feels for shoujo audiences, which is an amazing balance. It hits the right notes in the coming-of-age, slice-of-life, romance and comedy genres. Something About Us (Woori) was a real treat to read from start to finish. ![]() |
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