An Interactive Guide To The Fourier Transform

The Fourier Transform is one of deepest insights ever made. Unfortunately, the meaning is buried within dense equations: Yikes. What does the Fourier Transform do? Here's the "math English" version of the above: The Fourier Transform takes a time-based pattern, measures every possible cycle, and returns the overall "cycle recipe" (the strength, offset, & rotation speed for every cycle that was found). Time for the equations? If all goes well, we'll have an aha! This isn't a force-march through the equations, it's the casual stroll I wish I had. From Smoothie to Recipe A math transformation is a change of perspective. The Fourier Transform changes our perspective from consumer to producer, turning What did I see? In other words: given a smoothie, let's find the recipe. Why? So... given a smoothie, how do we find the recipe? Well, imagine you had a few filters lying around: We can reverse-engineer the recipe by filtering each ingredient. Filters must be independent. See The World As Cycles Oh!

How to Disappear Online Optical illusion cut-out and fold characters Lateral Thinking Puzzles - Preconceptions Lateral thinking puzzles that challenge your preconceptions. 1. You are driving down the road in your car on a wild, stormy night, when you pass by a bus stop and you see three people waiting for the bus: 1. An old lady who looks as if she is about to die. 2. An old friend who once saved your life. 3. Knowing that there can only be one passenger in your car, whom would you choose? Hint: You can make everyone happy. Solution: The old lady of course! 2. Hint: The police only know two things, that the criminal's name is John and that he is in a particular house. Solution: The fireman is the only man in the room. 3. Hint: He is very proud, so refuses to ever ask for help. Solution: The man is a dwarf. 4. Hint: It does not matter what the baby lands on, and it has nothing to do with luck. Solution: The baby fell out of a ground floor window. 5. Hint: His mother was an odd woman. Solution: When Bad Boy Bubby opened the cellar door he saw the living room and, through its windows, the garden. 6. 7.

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