Kalid Azad (@betterexplained) profile picture

Clear, intuitive math explanations. Learn right, not rote.

Seattle, WA
Joined February 2009
Photo by Kalid Azad (@betterexplained)Photo by Kalid Azad (@betterexplained)Photo by Kalid Azad (@betterexplained)Photo by Kalid Azad (@betterexplained)Photo by Kalid Azad (@betterexplained)Photo by Kalid Azad (@betterexplained)Photo by Kalid Azad (@betterexplained)Photo by Kalid Azad (@betterexplained)Photo by Kalid Azad (@betterexplained)
Had trouble remembering the big SI prefixes, especially the new ones. Kilo/Mega/Giga/Tera are old school. Peta you see sometimes. Then it gets easy, why argue? E Z Y R Q
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• STAY, DAUGHTER By @YasminAzad1 • A brilliant memoir where Azad tells her story objectively, without judgement, and with a fond account of her upbringing. . Thank you @RandomTTours & @_swiftpress for the book and spot on the tour #staydaughter #booktwt #swiftpress #yasminazad
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New Post: How to Learn Trig Derivatives betterexplained.com/articles… All trig functions changed using the same pattern: (sign)(scale)(swapped function)
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Teaching a free webinar with @CBOE on mental models to understand investing. 9am PST on Tue, May 10. events.bizzabo.com/393284 Will be using ADEPT model: betterexplained.com/articles…
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New Post: betterexplained.com/articles… If the exponential function is water, the hyperbolic functions (cosh and sinh) are hydrogen and oxygen. They're the technical, rarely-discussed parts that combine into a famous whole.
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Difficult ideas are one analogy away.
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Analogy in progress: Fourier Transform: Given a smoothie, get a recipe. LaPlace Transform: Given a smoothie, get a recipe *book*. The FT assumes perfect ingredients. The LT lets you specify how old your ingredients are. The FT is the first page of the book.
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The LaPlace transform is "overdetermined". You don't need the entire book, you can use the recipe from any page. The LaPlace transform is mostly used to see how the recipes change over time. Do weird things happen to specific ingredients as we flip through the pages?
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Got to ring in the new year with math fan @AndrewYang — congrats on hitting the goal, looking forward to 2020!
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New Post: Integral of Sin(x): Geometric Intuition betterexplained.com/articles…
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Work in progress. Integral of sin(x) is better visualized as total horizontal change between endpoints, vs a generic "area under the curve"
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Gotcha: remember that sine isn't inherently "vertical". It's just a percentage. If you rotate your triangle, it determines the horizontal distance traveled as you change your angle.
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I have very few equations on my pages in part because I don't know how to present them. @betterexplained uses color for equations (betterexplained.com/articles…); @ch402 uses layout for equations (github.com/distillpub/post--…); so I wanted to try both together 🧐
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Happy #PiDay! One of my favorites from the archives... betterexplained.com/articles…
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