A LOT of talk. But there is still not as much meaningful action going on as there really should be.
Unfortunately, the meaning is buried within dense equations: What does the Fourier Transform do? Given a smoothie, it finds the recipe.
Run the smoothie through filters to extract each ingredient. Recipes are easier to analyze, compare, and modify than the smoothie itself. How do we get the smoothie back? Time for the equations? From Smoothie to Recipe A math transformation is a change of perspective.
The Fourier Transform changes our perspective from consumer to producer, turning What do I have? Well, recipes are great descriptions of drinks.
A recipe is more easily categorized, compared, and modified than the object itself. Well, imagine you had a few filters lying around: Pour through the "banana" filter. Pour through the "orange" filter.
Pour through the "milk" filter. Pour through the "water" filter. We can reverse-engineer the recipe by filtering each ingredient. Filters must be independent. The banana filter needs to capture bananas, and nothing else.
Adding more oranges should never affect the banana reading. Filters must be complete. Our collection of filters must catch every possible ingredient. Ingredients must be combine-able.From Smoothie to Recipe.
A math transformation is a change of perspective. We change our notion of quantity from "single items" (lines in the sand, tally system) to "groups of 10" (decimal) depending on what we're counting.
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Lafley is the former Chairman of the Board, President, and Chief Executive Officer of Procter & Gamble. Under Lafley’s leadership, P&G’s sales doubled, its profits quadrupled, its market value increased by more than $ billion, and its portfolio of billion-dollar brands—like Tide, Pampers, Olay, and Gillette—grew from 10 to BibMe Free Bibliography & Citation Maker - MLA, APA, Chicago, Harvard.
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