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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knowing they were from opposite families.So keep in mind how fast this whole story occured as I mentioned earlier.So is love at first site actully true‚ and why do people rush into things so quickly?In this story I believe Romeo and Juliet rush into things‚ and this caused most all the events in story to happne.So if you dont think about you actions when in love and other people there will be proplems and consequences.
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To be blackballed is to be excluded from membership by a negative vote according to Merriam-Webster (Merriam-Webster’s dictionary‚ 11th ed.‚ 2017). The situation ex-NFL quarterback Colin Kaepernick is now facing due to his actions in the previous season by kneeling during the Star Spangled Banner could be considered such. The former 49ers quarterback‚ who led his team to a Super Bowl in 2013‚ is currently unemployed from football and it appears unlikely he will be employed in the National Football
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Organisations are an integral part of any society. They use various resources from the society to carry out their operations and make financial profits. They have a responsibility toward the society and all the stakeholders involved. Milton’s statement is definitely wrong. Companies need to understand their responsibilities towards the society and public at the large. Nowadays consumers are very much aware and concerned about the practices that the firms use in their day to day operations. People
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Do Smartphones affect today’s society? According to Wikipedia ” A smart phone is a mobile phone built on a mobile operating system‚ with more advanced computing capability than a feature phone”(1). There are many types of smartphones but they all have one thing in common. They combine the performance of a cell phone and a computer. In America 42% of phone users have smartphones (foot). Based on this staggering statistics‚ smartphones has an incredible possibility of affecting today’s society
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is more of an opinionated question. Some research proves that there are possibilities of time travel and others say that it is impossible. In my opinion‚ I think it is possible with right research and advanced technology for time travel to be possible. If time travel is invented‚ and someone did come back in time from the future‚ and change things without making themselves widely known as time travelers‚ it is possible that if it was changed in the past‚ then it changes
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John Greavu My Attempt in Living Morally If life had a rulebook‚ it would be written by the Ancient Greeks. Socrates‚ Plato and Aristotle built the foundation of how every human being “should” live. Making decisions based off what is believed to be right or wrong affects almost countless moments in each day for us humans. Eventually‚ after much practice‚ making correct decisions would become near habitual. Can you imagine the world today if everyone strived to live ethically? Before you change
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Test Essay When observing Chinese dynasties today‚ it is seen that all the dynasties combined have lasted around 4000 years‚ from the Xia to the Qing‚ but how did each individual dynasty truly last so long? There were three major factors that led to lengthy Chinese dynasties. First of all‚ the Chinese dynasties’ trade and its evolution led to the wealth of several Chinese dynasties‚ enabling longer rule. The political innovations and structures created and adapted by the Chinese were effective
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admit their mistakes.”- Unknown. Many societies are really lucky to have a humble leader which can make their societies into one of the best. If societies don’t have a great leader‚ there societys will not succeed. Great societies fall because of the great leaders dying‚ droughts‚ and neighboring tribes causing damage. Alot of great societies fall for many different reasons. The first reason is that Great leaders died. Whenever a great leader died‚ that society would lack that greatness that he/she
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The American Dream When we have a dream we try to do everything that we can do‚ to make it real. Our endeavors depend on our individuality because all of us are different‚ and all of us have different dreams. To some people‚ the American Dream might be more about personal fulfillment than about economic success or owning property. For some of us the American Dream is a wealthy life‚ for others it could be just getting married and gave a birth to children. The American Dream is the opportunity to
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