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  The faster-than-fast Fourier transform

The Fourier transform is one of the most fundamental concepts in the information sciences. It’s a method for representing an irregular signal — such as the voltage fluctuations in the wire that connects an MP3 player to a loudspeaker — as a combination of pure frequencies. It’s universal in signal processing, but it can also be used to compress image and audio files, solve differential equations and price stock options, among other things.The reason the Fourier...

   FFT,Fast fourier transform,MIT,Compression     2012-01-19 09:59:09

  How Speeding The "Most Important Algorithm Of Our Lifetime" Could Change This Modern World

Math breakthroughs don't often capture the headlines--but MIT researchers have just made one that could lead to all sorts of amazing technological breakthroughs that in just a few years will touch every hour of your life. Last week at the Association for Computing Machinery's Symposium on Discrete Algorithms (SODA) a new way of calculating Fast Fourier Transforms was presented by a group of MIT researchers. It's possible that under cert...

   FFT,Speed-up,Fast fourier transform     2012-03-20 07:47:04

  Encrypting and decrypting PGP file or text on MacOS

When doing data exchange among different parties, there is a frequent need of encrypting data or file and sending it to partner and asking partner to use corresponding key to decrypt the data or file. A famous way of exchanging data is using asymmetric keys where no secret key needs to be shared. One party can just use the public key shared by partner to encrypt the data and the other party uses the private key to decrypt the data. Today, we will introduce how to use PGP to encrypt and decrypt d...

   PGP,GPG,ENCRYPTION,DECRYPTION,TUTORIAL     2020-10-29 05:06:09