In the variational formulation the equations of motion are formulated in terms of the difference of the kinetic energy and the potential energy. The Newtonian formulation of the equations of motion is intrinsically a particle-by-particle description. The motion of the system is determined by considering how the individual component particles respond to these forces. In the Newtonian formulation the forces can often be written as derivatives of the potential energy of the system. In contrast to the Newtonian formulation of mechanics, the variational formulation of mechanics describes the motion of a system in terms of aggregate quantities that are associated with the motion of the system as a whole. Mechanics, as invented by Newton and others of his era, describes the motion of a system in terms of the positions, velocities, and accelerations of each of the particles in the system. 1 For a great variety of systems realizable motions of the system can be formulated in terms of a variational principle. This is the variational strategy: for each physical system we invent a path-distinguishing function that distinguishes realizable motions of the system by having a stationary point for each realizable path. However, there is an alternate strategy that provides more insight and power: we could look for a path-distinguishing function that has a minimum on the realizable paths-on nearby unrealizable paths the value of the function is higher than it is on the realizable path. Newton's equations of motion are of this form at each moment Newton's differential equations must be satisfied. For example, the output could be a number, and we could try to arrange that this number be zero only on realizable paths. We want this function to have some characteristic behavior when its input is a realizable path. The path-distinguishing function that we seek takes a configuration path as an input and produces some output. The motion of the juggling pin is specified by giving the position and orientation of the pin as a function of time. The juggling pin rotates as it flies through the air the configuration of the juggling pin is specified by giving the position and orientation of the pin. Such a description of the motion of the system is called a configuration path the configuration path specifies the configuration as a function of time. The motion of a system can be described by giving the position of every piece of the system at each moment. How can we distinguish motions of a system that can actually occur from other conceivable motions? Perhaps we can invent some mathematical function that allows us to distinguish realizable motions from among all conceivable motions. We can imagine that the juggling pin might pause in midair or go fourteen times around the head of the juggler before being caught, but these motions do not happen. There are many conceivable ways a system could move that never occur. Complex physical objects, such as juggling pins, can be modeled as myriad particles with fixed spatial relationships maintained by stiff forces of interaction. It is also a remarkable discovery that the same mathematical tools used to describe the motions of the planets can be used to describe the motion of the juggling pin.Ĭlassical mechanics describes the motion of a system of particles, subject to forces describing their interactions. In fact, the skill of juggling depends crucially on this predictability. That mathematics can be used to describe natural phenomena is a remarkable fact.Ī pin thrown by a juggler takes a rather predictable path and rotates in a rather predictable way. The effort to formulate these regularities and ultimately to understand them led to the development of mathematics and to the discovery that mathematics could be effectively used to describe aspects of the physical world. The subject of this book is motion and the mathematical tools used to describe it.Ĭenturies of careful observations of the motions of the planets revealed regularities in those motions, allowing accurate predictions of phenomena such as eclipses and conjunctions. To formulate the aims of mechanics in this way, without serious Position in space with “time.” I should load myĬonscience with grave sins against the sacred spirit of lucidity were I The purpose of mechanics is to describe how bodies change their Structure and Interpretation of Classical Mechanics: Lagrangian Mechanics ⇡
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Branislav Babovic of commented: " Pool of Radiance: Ruins of Myth Drannor could simply be defined as a disk full of bugs, striving to be a slow Diablo based on AD&D third edition rules." Johnny Wilson Dragon for commented: "I like the way the new edition of the D&D rules have been integrated into the game I'm thrilled with the emphasis on drow and undead, the villains we love to hate." really fast!" Later patches fixed some of the stability issues. Chris Chan of the New Straits Times complained that most of the game is spent " with a lot of mindless battles and health and spell recuperation exercises." Mark Meadows of The Wisconsin State Journal called the game: "A half-finished adaptation of D&D's new 3rd Edition rules that was rushed out the door despite being over a year late." GameSpy's review suggested: "If you see this game, walk away. Other bugs included problems with installation, saving game files, graphics, and gameplay. One major bug would cause a player's system files to uninstall when the game was removed. The game received lackluster reviews and was plagued with bugs. By the first week of November, Ruins of Myth Drannor had sold 55,211 units in the United States. It finished 20th on NPD Intelect's chart for the month of September overall, and maintained this spot in October. According to Ubisoft, the game surpassed 150,000 sales in its first 14 days. It held this position on the following week's chart, before falling to #9 in its third week of release. In the United States, the game entered NPD Intelect's computer game sales chart at #1 for September 23–29, 2001. He remarked that certain retailers had placed notes on their displays to warn customers about the title's bugs. Reception SalesĪccording to GameSpot's Desslock, Ruins of Myth Drannor "sold extremely well during its first few weeks, but bad word of mouth and reviews crippled future sales". While Baldur's Gate II implemented a few elements from the 3rd edition, Ruins of Myth Drannor was the first game attempting to comprehensively adapt those rules. Producer Chuck Yager said the game was originally designed using the Advanced Dungeons & Dragons 2nd edition rules, but was converted to the 3rd edition rules partway through development. They must travel to all areas of Myth Drannor, including dungeons and catacombs beneath the city, in an attempt to stop evil from taking over the region. Once the elven ruin is completely in their thrall, the cult intends to expand its domination one city-and one soul-at a time.įour heroes are sent to Myth Drannor by Elminster to stop the dracolich and the sorcerer queen from using the power of the Mythal to conquer Faerûn. A dracolich and his sorcerer queen have seized control of the Mythal, the ancient magic that once protected the long abandoned elven city of Myth Drannor. The story is set in the city of New Phlan. 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Overall Opinion: Advanced file managers are hard to find, but muCommander is perhaps the best tool in its category for such large-volume management. And, I don’t suggest substituting another skillet like a non-stick. The key to cooking tuna is a hot cast iron skillet. Something I think about those larger salt crystals that explode flavor from the tuna! And, make that kosher or sea salt, large grains rather than fine. And, I always love coarse ground fresh pepper. You just have to accentuate it somewhat with some good salt and pepper. In fact, all the flavor is there for you. You don’t need a lot of fru fru when cooking fresh tuna steaks. Whether you like it grilled, baked, or broiled, simplicity is the key for tuna in my book. It’s fine for eating! Cooking Tuna SteaksĬooking tuna steaks is not a daunting task. To keep it tender and moist, you’ll want to have the center still pink. When you’re cooking it, which doesn’t take long, be sure to not get distracted or leave it because it can get dry and chewy when overcooked. You want to have a fresh look and smell to your raw tuna steak. Tuna steak recipes are typically pretty easy and simple. It’s name comes from the fact that this tuna jumps and skips on the ocean’s surface. With a stronger flavor and high fat content, it’s the smallest of the tuna fish. Light chunk tuna is affordable and comes from skipjack tuna, which is popular in Japanese cuisine. Fattier and more flavorful, bluefin tuna is also more expensive, Some of these fish that are caught can weigh up to 1,000 pounds! If you’re a tuna expert, then bluefin tuna is on your plate. This kind of tuna is what you’re probably eating in your sushi! Yellowfin tuna is great for searing and grilling, and you’ll find it in cans, too. It’s got more distinct flavor than albacore and it’s hue is a deep pink. It’s pretty easy to find at the fish market or at your grocery store, sometimes fresh and oftentimes frozen. It’s usually a little pricier than light chunk tuna. You find it oftentimes in the cans and called ‘albacore white’. This tuna is light, almost white, and has a mild flavor. But, there are basically four types of the most popular tuna.Īlbacore. Throw together a simple salad and you’ve got your meal in not time. But, when you’re pan searing tuna steak, it’s totally doable. A healthy dinner in well under 30 minutes sounds almost impossible. It is an extra step, but it makes all the difference.Dinner in well under 30 minutes is doable with this pan seared tuna steak recipe! A simple salad or baked potato and you’re ready to eat healthy! **Reducing the citrus juice intensifies the flavor. * Click here to view our step-by-step guide on how to supreme citrus. Top each salad with a tuna steak, fanning out the slices. Slice each tuna steak across the grain into ½-inch slices. Add the citrus supremes, avocado and shallot and toss again. In a large bowl, gently toss the greens with the reserved vinaigrette. Turn and sear the other side, about 1-2 minutes more, for rare to medium-rare. Add tuna, searing on one side, about 1-2 minutes. Heat a large nonstick skillet over medium-high heat. Add tuna and refrigerate for 30 minutes-1 hour, no longer. Pour remaining half of vinaigrette into a 1-gallon plastic bag. Reserve half (about ⅓ c) of the vinaigrette for dressing the salad. Add the oil in a slow stream while whisking constantly. In a medium bowl, whisk together reduced citrus juice, reserved orange zest, vinegar, honey, soy sauce and mustard. This can also be done by heating in a microwave on high about 5 minutes.* Bring to a boil and reduce until roughly 2 tbsp remain, about 3-5 minutes. To make the vinaigrette: Add citrus juice to small saucepan over high heat. You should have about ⅓ c mixed citrus juice. For the grapefruit, cut off the peel and pith and cut the flesh into supremes, reserving the juice. Cut off the peel and pith and cut the flesh into supremes,* reserving the juice. |
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