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I gutted all but a handful of provinces from the provinces folder. Opening settings.txt because it has more options than the Video Options in the main menu, I set everything to “no” except terrain, borders, and tooltips. This iMac played 1 game year of EU3 W in under a minute. 25th Steam has a 50% off ($20) EU4 and better yet, let me download and play EU4 Apple’s store wouldn’t let me order EU4 so I gave up long ago. My iMac's Radeon HD 2600 Pro is equivalent to the Intel HD 4000. Civ 5 goes into the Nuclear Age (with atomic weapons, etc). If you want something more historical, Europa is the game that does it best.ĮUIV ending game date is typically 1821 (the end of the Napoleonic Age). If you want a more casual gaming experience of conquer the world, then Civ5 is probably the better option. The learning curve is a little steeper for EUIV than with Civ5. Unlike Civ 5, Europa Universalis mostly comes with a historically accurate map. Hence, during that war between two AI-controlled nations, I was able to influence the outcome simply by dumping tons of money towards one side or another. Soon after, the English Kingdom (also AI controlled) immediately offered to surrender to Spain by ceding several of its Catholic Irish provinces to Spain. The second invasion resulted in the Spanish armies temporarily capturing London and looting the city. Once the fleets were completed, Spanish Kingdom again attempted to land a huge army in coastal England and Ireland. What did the Spanish AI do? It immediately used my money to rebuild another HUGE ARMADA in the next turn. But before the AI Spanish Kingdom could give up, I had my Austrian Empire send a HUGE GIFT of money to the Spanish Kingdom (Spain was my soso-ally) while they were still at war with England. surrender because it would have been futile and wasteful and very expensive to continue. At that point, the AI may have done the reasonable thing. I watched the invasion, and saw that the Spanish fleet was completely obliterated on their first invasion attempt at coastal England. The English fleet and the English defense armies had much better technology and morale and were ready to defend. This is similar to how it happened in history. At some point in the mid-16th century, the huge Kingdom of Spain (played by the AI) launched a massive armada to invade Protestant England. The player certainly has TONS of choices to make, and even little choices can alter the future history of the game (for example, it is possible for the Byzantine Empire to have defeated the early Seljuk/Ottoman Turks so that the Ottoman Empire never established a grand empire in Constantinople/Istanbul.)įor example, I once played a game as the Austrian Empire. This does not mean the games play exactly like a history book. Hundreds (thousands) of little events will "guide" the gameplay towards a generally historical outcome. Europa Universalis (from the original to the current version 4) is far more "historical". In which Dobby, a house elf, arrives in Harry’s room to warn him not to return to Hogwarts, the Dursleys’ dinner party is ruined by Dobby’s antics, and Harry is locked securely in his room. In which we are reminded of the happenings during Harry’s first year at Hogwarts, uncle Vernon has a very important dinner guest coming, dinner plans are made, and Harry’s birthday is forgotten again. edits and changes to the text Reader’s Guide to Harry Potter and the Chamber of SecretsĪ complete chapter-by-chapter guide with notes and commentary.differences between the British and American versions. day by day calendar of events in the book.Official Word Count Provided by Scholastic Inc TM & © 2004-1996. Harry Potter and the Chamber of Secrets – 85,141 words Rowling.įirst British printing: July 2, 1998, Bloomsbury Booksįirst American printing: June 2, 1999, Scholastic, Arthur A. Harry Potter and the Chamber of Secrets is the second book in the series of Harry Potter novels by J.K. He considered this book to be the pinnacle of the vihuela school and regarded Fuenllana as the final spokesman for this brief, courtly instrumental period in Spanish music. Prior to his death, Pujol had begun work on the largest of vihuela music books, the Orphenica Lyra by Miguel Fuenllana, published in 1554. The volume was eventually followed by volumes covering Alonso Mudarra (1949) and Valderrábano (1963). By 1941 he was back in Spain to the end of his life, and he started preparing the volume covering the composer for vihuela, Luis de Narváez, for the series Monumentos de la Musica Española (vol. The beginning signs of World War II also prevented him from continuing his concert career.įrom 1935 through 1940, Pujol continued giving a few concerts and lectures as well as pursuing his research in Spain, London and Paris. During this period he partnered with the publisher Max Eschig in publishing his 'Bibliothèque de musique ancienne et moderne pour guitare' (from 1927), resulting in numerous works for solo guitar by historical and contemporary composers. The only major interruptions in his concert travels were his marriage to Matilde Cuervas in Paris, an Andalusian flamenco guitarist, and the period of time he devoted to historical research in Paris into the instrumental predecessors of the guitar. In 1918 he undertook his first tour of South America, starting in Buenos Aires. Pujol fondly remembered his first encounter with Tárrega and in his biography of his teacher, he described his mestre in very endearing, romantic terms.ĭuring the war years 1914–1918 he did not travel much and mainly remained in Catalonia. At this time, Miquel Llobet was making his debut as a concert artist outside Barcelona. He began his studies with Francisco Tárrega in 1902, when he was sixteen years of age. 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The definite integral from zero to two pi of sine of mx, dx, actually let me stay in t, since our original function is in terms of t. So the first I wanna establish, I wanna establish that So let's just establish some things about definite integrals of trig functions. Intervals of that period, but I'm focusing on two piīecause it makes the math a little bit cleaner,Ī little bit simpler, and then we can generalize in the future. Pi, completes one cycle from zero to two pi, weĬould've done it over other intervals of length two pi, and if this period was other than two pi, we would've done it over The intervals zero to pi over this video and the next few videos because the function we're approximating has a period of two Wanna do, the first thing I'm gonna do is establish Straightforward for us to find these coefficients that And what I'm gonna startĭoing in this video, is starting to establish Again, the end of each cycle should give you 0.Video we introduced the idea that we could represent anyĪrbitrary, periodic function by a series of weighted cosines and sines. The triangle wave is best integrated in sections in the conditional form. Note that at the end of each "cycle" you should get 0. You should get a triangle wave of the same period. The square wave is also very easy to integrate: start by thinking of it as a constant function. Now, both of this and the conditional form are pretty easy to integrate. Here follow the equations I'm using to display the waveforms: Integrating a sine wave function is indeed easy, but things gets a lot complicated when it comes to other waveforms. After a discussion about how to plot the results of a frequency modulation between two signals on Stack Overflow, I understood that I need to find the time-integral of the following wave functions before using them in the general FM formula (as illustrated in the first answer). |
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