![]() ![]() That first spring when we got back here, you know what goals are of UConn basketball – win a national championship, Final Fours, lottery picks, that type of thing. “I thank Dan for giving me the opportunity to just try to be a small part of this when we came back (to UConn). Now he’s back at the Final Four with coach Dan Hurley, who has returned the program to an elite level since being hired in 2018. But when this comes, it galvanizes everybody and they all want a piece of it. They watched us from afar during the season. “It’s neat,” assistant coach Tom Moore said of the turnout. Rudy Gay, Caron Butler and Chris Smith couldn’t make it Saturday but planned to be there for the national championship game on Monday, if UConn reaches that stage. ![]() Hall of Fame coach Jim Calhoun, who guided the Huskies to three of the program’s four nationals titles (1999, 2004, 2011) has made the trip to every site during the NCAA tournament run. Ray Allen, perhaps the greatest player ever to wear a UConn men’s basketball uniform, showed up, as did A.J. National championship winners Rip Hamilton (1999), Jake Voskuhl (1999), Marcus Williams (2004), Emeka Okafor (2004), Rashad Anderson (2004), Charlie Villanueva (2004) and Kemba Walker (2011) were expected to be in attendance. Houston – Any UConn trip to the Final Four turns into a basketball program family reunion.Ī number of ex-Huskies flocked to NRG Stadium Saturday to support their former college team in the national semifinals against Miami. Connecticut center Donovan Clingan practices for their Final Four college basketball game in the NCAA Tournament on Friday, March 31, 2023, in Houston. ![]()
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![]() ![]() It concerns increasing/decreasing functions as well as concave up/concave down. We have been discussing a problem in my Advanced Placement Calculus class. In that corner … it can be closedīut that is not the only way to define “increasing on an interval”!īack in 1997, Doctor Jerry had answered a similar question, pertaining to the rules for AP calculus: Brackets or Parentheses? It is important to note that both the question and the answer come from the perspective of calculus, and depend on defining “increasing” in terms of the derivative. An endpoint cannot have both of these properties. So he concludes, In summary, for a function to be increasing (all of these concepts are similar for decreasing intervals as well), we have to be able to show that the function is greater for larger values of "x," and less for smaller values of "x" in a small neighborhood around each point in the interval. He goes on to explain that in order for the derivative to be positive at a point, the derivative must exist there, so the function must be defined, and increasing, and differentiable, in some interval around that point. Intervals where the derivative is positive suggest that the function is increasing on that interval, and intervals where the derivative is negative suggest that the function is decreasing on that interval. We use derivatives to decide whether a function is increasing and/or decreasing on a given interval. Let me attempt to give comprehensive reasoning as to why this should be. I completely agree with your claim that the intervals should be open (that is, should not include the endpoints). But should we describe that as the open interval \(\left(-2,2\right)\), or as the closed interval \(\left \)? Different textbooks give different answers.ĭoctor Minter began: You pose an excellent question, and I agree that the discrepancy among the various textbooks is quite misleading. We see that it is increasing from -2 to 2. Could you clarify this for me please? Can both versions be correct?įor example, for the function \(y = -x^3 12x\), I noticed that the AP Central always include the ends in the formal solutions of such problems (one can see many examples there), but an author like Howard Anton never does. Why do some calculus books include the ends when determining the intervals in which the graph of a function increases or decreases while others do not? I feel that the intervals should be open and the ends should not be included as they may be, for example, stationary points where a horizontal tangent can be drawn. Let’s start with the 2009 question from Bizhan, answered by Doctor Minter: Endpoints of Intervals Where a Function is Increasing or Decreasing This one page in our archive actually contains two of the three answers to the question in our archive, the second being a challenge to the first. Here, I want to show how and why they differ in talking about intervals on which a function is increasing or decreasing. ![]() The reality is that they can even give conflicting definitions, depending on the perspective from which they approach a topic. Students commonly expect that textbooks all say the same thing (in fact, some think they can ask us about “Theorem 6.2” and we’ll know what they’re talking about!). ![]() ![]() ![]() The Narcissos requires Gnome Level 3 (max). This placement is to enable the Broken Doll (Junkyard) Land’s Gnome levels to spawn Fernando the Narcissos as a pet. Rachel will give you the Jade Egg Artifact. If he leaves the pub, you can go out into Domina’s map, where after a short dialogue, he will join you no matter what you say. You can choose to stick up for Rachel, or side with Elazul so that he joins you as a partner. To obtain the Jade Egg Artifact, you will need to follow Elazul into Domina’s pub. Tell him you’re Not Afraid of the bandits.You will need to trigger his Event, Niccolo’s Business Unusual: To get the Wheel, you will need to encounter Niccolo in Domina’s market. You begin the game with the Mailbox Artifact (Home), while you will be given the Colorblocks Artifact (Domina) when you try to leave to the world map. On NG+, this placement can become even better once you have access to Nightmare mode to increase monster levels for the rarer loot. Visuals for the map added for easier reference from this Legend of Mana Artifact Placement Guide. Full Mana Levels for Orchard for fastest produce growing speed.All levels of mineral and highest level possible weapon shop at time of placement.This set up is considered to be the most flexible, set up to be as easy as possible with access to: ![]() Follow the game proper, you’re allowed to pick a starting spot as long as the square isn’t greyed out, but this is considered the most optimal: only two water spots, fitting the one mandatory requirement: via LOM.info EASIEST SET UP ![]() ![]() The neck is rounded out with traditional trapezoid inlays and a flatter 12" fretboard radius. The mahogany neck is topped with a granadillo fretboard, providing warm, rich tone with an almost "bell-like" quality to the top end. Neck and FingerboardFans of thin, fast necks rejoice! The Les Paul Signature "T" features Gibson's popular '60s-style SlimTaper neck profile, allowing players easy access to chords and scales that are more difficult on larger, baseball-bat-style necks. 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Other refinements include a wax bath to eliminate microphonic feedback and keep your pickup pristine and clean throughout its years of service. ![]() In the bridge position, you'll find the '57 Classic Plus, with an over-wound magnet that increases its output and allows its rich lows and midrange to … read more humbuckers, these '57s deliver a smooth, crisp high end, with all the juicy midrange you would expect from a modern-classic pickup. Designed and built like the famous original P.A.F. However, on the Gibson Les Paul Signature "T," the '57 Classic and '57 Classic Plus pickups are mounted open-coil-style, for a hot-rodded and raw look. Typically, '57s have chrome cover plates that lend these pickups a traditional look. '57 Classic Pickups with Coil-TappingThe Gibson Signature "T" comes loaded with arguably the most popular Gibson pickups on the market: the '57 Classic and '57 Classic Plus humbuckers. Traditional Les Paul specs, Gibson USA build quality, and master craftsmanship make this a highly capable guitar, while the SlimTaper neck and traditional weight relief make the "T" a very comfortable guitar to play. ![]() Capturing the beauty of those tonewoods are a '57 Classic and '57 Classic Plus pickup with smooth, creamy top end and plenty of midrange bite. A powerful and versatile tool for today's guitarist, the Signature "T" pairs a mahogany body with a gorgeous, carved AA-grade figured maple top for the ultimate in harmonically rich tone. The Les Paul Signature "T" honors the legacy of Les Paul by combining 70+ years of Les Paul innovation with modern Gibson refinements. Classic design, modern appointments, timeless tone. ![]() ![]() ![]() While some would need replacement, many were not expected to be run on tablets anyway. So the tablet version lost the undercar shadow, SSAO, dynamic shadows, car headlights at night, and a few other graphics features. As this pass was designed for a cubemap, it does not read any screen space maps. Codemasters opted to use these shaders for the new tablet mode. This cubemap pass was not even used in ultra-low settings as the dynamic reflections had been disabled. The studio wanted to avoid writing a new shader version for every object in the game, so they looked at quickly prototyping a simpler render pass for tablets.įortunately, simple versions of the shaders are used in the dynamic car environment cubemap pass. Removing the velocity/depth pre-pass was particularly important as it contributed ~30% of the total number of draw calls per frame and ~25% of the total render workload. Work, that when removed, also took the requirement for a velocity/depth pre-pass with it. The removal of some effects, such as complex depth of field and motion blur in the final post-processing, meant many of the pixel shaders were doing redundant work. Just scaling model textures, creating more aggressive LODs, and removing geometry did not reach the required 30FPS. It was apparent the traditional approach would not work. ![]() The right side shows pre-optimization render times in ms by feature. Several post-processing features were also disabled, including features like crowds, driver models, and even particle effects that were not considered essential to the GRID 2 experience (Figure 1).įigure 2: On the left is a frame from GRID Autosport* at ultra-low quality settings. To help make GRID 2 playable on a wide array of older and lower-power GPUs, Codemasters lowered the quality settings on existing effects, such as shadow resolution. This ensures maximum compatibility on older hardware. In addition to higher-quality settings for high-end gaming PCs, GRID 2 also provides several lower-quality settings. Game performance is a stable 30FPS at a resolution of 1366x768 on a 15-watt Ultrabook. GRID 2* was designed to run at Medium settings on the Intel® graphics in 4th gen Intel Core processors, which have comparable performance to the Playstation* 3 and Xbox 360*. It has been heavily optimized for 4th gen Intel Core processors, typically found in Ultrabooks. The graphics engine in GRID Autosport* is an evolution of the GRID 2 Engine. The challenge is to add touch controls to a dense front-end UI while keeping the experience seamless across tablets, Ultrabooks, and PCs. While providing plenty of extras on high-end hardware such as an Iris Pro™ graphics-powered Ultrabook or PC as detailed in a previous article: Taking the Pole Position: Codemasters Leads the Pack in PC-to-Tablet Optimization with GRID Autosport. How their ingenuity allows GRID Autosport to look great on a 4-watt Intel Atom processor-based tablet offering a visual experience that would not have looked out of place on a good PC a few years ago. Herein is the story of how the team at Codemasters optimized GRID Autosport for tablets. "We’ve made sure that the game has a set of comprehensive graphics options that can scale up to the top end, though still looks great if you’re using a tablet." "It's really important for us to cater to the whole market," said Richard Kettlewell, a senior programmer at Codemasters’ headquarters in Southam, England. The collaboration between Codemasters and Intel allows GRID Autosport to take advantage of the entire 4 th generation Intel® Core™ processor product line, including 4-watt Intel® Atom™ processor-based tablets. They want to bring console-level graphics to tablets with intuitive touch controls. ![]() Codemasters, the UK-based game developer, aims to change that with GRID Autosport*. ![]() However with power-conserving tablets and Ultrabook™ devices, the typical mobile game is less ambitious than PC games of the same era. 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Of course, we also learn that the crystals have been the cause of "countless wars", which eventually formed the six nations now in the game: the Grand Duchy of Rosaria, the Holy Empire of Sanbreque, the Kingdom of Waloed, the Dhalmekian Republic, the Iron Kingdom, and the Crystalline Dominion.Įach place views the world differently and, obviously, this leads to some political disagreements between the nations. As is always the case with Final Fantasy, the blessings bestowed by the Mothercrystals has allowed these powers to thrive, and their people to live in comfort. ![]() During this time, six powerful nations have risen up around the Mothercrystals and each place now lives in relative peace. The world is tied to six different Mothercrystals, which have been around for generations. 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