Lecture 11 Fast Fourier Transform (FFT) Weinan E1‚2 and Tiejun Li2 1 Department of Mathematics‚ Princeton University‚ weinan@princeton.edu 2 School of Mathematical Sciences‚ Peking University‚ tieli@pku.edu.cn No.1 Science Building‚ 1575 Examples Fast Fourier Transform Outline Examples Fast Fourier Transform Applications Applications Examples Fast Fourier Transform Applications Signal processing Filtering: a polluted signal 1.5 1 0.5 0 −0.5 −1 −1.5 0 200 400 600 800
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The Saint and the Goblin By Hector Hugh Munro Hector Hugh Munro (18 December 1870 – 13 November 1916)‚ better known by the pen name Saki‚ and also frequently as H. H. Munro‚ was a British writer whose witty‚ mischievous and sometimes macabre stories satirized Edwardian society and culture. He is considered a master of the short story and often compared to O. Henry and Dorothy Parker. Influenced by Oscar Wilde‚ Lewis Carroll‚ and Kipling‚ he himself influenced A. A. Milne‚ Noël Coward‚ and P. G
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Saint Sebastian was born in the city of Narbonne‚ in Gaul‚ in the 3rd Century. Saint Sebastian was a young man by the time he was religious. He was a son of a wealthy Roman family and was educated in Milan. Throughout earlier in life‚ he was soon trasfered as an officer in the Imperial Roman army and captian of the guard. He was one of the favourites to Diocletian‚ who was the Emperorer of Rome since 284 AD to 305 AD but died in 312 AD. During Diocletian reign of power as emporer‚ he hated Christians
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Simon Birch “Blessed are the poor in spirit‚ for theirs is the kingdom of Heaven” (Matthew 5:3). This beatitude was practiced by Simon throughout the movie and was shown through his thoughts‚ words‚ actions and deeds. Many who experience this beatitude feel that they have no moral riches and are in need‚ whereas Simon had faith which kept him going. Jesus says that‚ no matter your status in life‚ you must recognize your spiritual poverty before you can come to God in faith to receive the salvation
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’Simon Lee‚ The Old Huntsman‚ With an incident in which he was concerned’ is a poem by William Wordsworth. Written in 1798 (Anthology p420)‚ ’Simon Lee’ was one of the poems included by Wordsworth in his Lyrical Ballads. The purpose or meaning of this poem is debatable‚ but in his own Preface to the Lyrical Ballads‚ Wordsworth says that he wishes to ’follow the fluxes and refluxes of the mind when agitated by the great and simple affections of our nature’ in the case of Simon Lee‚ ’by placing my
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as "The Green Stripe" and "Harmony in Red" by Henri Matisse were given bad critiques. They were mostly objected to the different use of color in the paintings‚ and many did not understand his work. The use of color was used to show his emotional expression. Henri Matisse was born in Northern France in 1869. During his youth‚ he had no interest in art. His father had high hopes for him to become a lawyer or work at a store when he got older. When Henri became twenty years old‚ he was recovering from
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Conner Savage Ms. Janson Period 2 4/23/15 Simon Birch Essay In the movie Simon Birch‚ the main character is Simon. The narrator of the movie is Simon’s best friend Joe Wentworth. Simon is a very special person. For example he has the ability to inspire or annoy the people around him. He also has a special sense that God has a plan for him and he would not be alive if no plan existed. When Simon was born some called him a miracle baby because he was the smallest
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apparitions of saints begun From the time of Adam‚ God has spoken to His saints and prophets through visions‚ dreams‚ and inner voices . . . . Miraculous events are common in the worlds of the Old and New Testaments‚ and the lives of the saints are marked by supernatural intervention. In our time‚ the Eternal Father seems to also be grabbing ordinary people from our midst to use as His mouthpieces. He is calling us to honor the covenant He made with us so that His "will be done on earth as it
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Henri Fyol : One of the first persons to sit down and try to work out what managers do (and what they should do) was a Frenchman called Henri Fayol. Fayol was a mining engineer who became the managing director of an ailing coal mining firm and turned it into a highly successful coal and steel business. All this took place between 1888 and 1918‚ when he retired. In 1916‚ after many years of thinking about the job of the manager‚ he published a small book called General and Industrial Management
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One of the most inspiring saints in history‚ St. Maximilian Kolbe was born on the eighth of January‚ in 1894. He was born with the name of Raymond. Raymond was born in Zdunska-Wola‚ which is located in Poland. At this time‚ Poland was a part of the Russian Empire. Raymond’s father was a weaver‚ and his father’s name was Julius. His mother’s name was Maria. He had two brothers‚ with the names of Francis and Joseph. At this time Poland‚ there was a political split. Raymond said he “lamented the existence
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