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Real-World Differentiation & Integration

Chang-Woo Rhee ยท Aug 02, 2026

Real-World Uses of Differentiation and IntegrationWhere calculus actually appears in daily life, engineering, and AI....
#math #differentiation #integration #calculus #real-world #ai #engineering

ln(x) and Limits โ€” Math Foundations for AI

Chang-Woo Rhee ยท Aug 02, 2026

Natural Logarithm: ln(x)What ln means, its derivative, and why it's used in AI loss functions. What is ln?ln(x) = na...
#ln #logarithm #limits #cross-entropy #math #calculus #ai

Euler's Number (e) โ€” Why AI Uses 2.71828

Chang-Woo Rhee ยท Aug 02, 2026

Euler's Number: e โ‰ˆ 2.71828What it is, where it comes from, and why it appears everywhere in AI. What is e?A mathema...
#euler #e #softmax #sigmoid #math #calculus #ai

Math for AI Part 2 โ€” Backpropagation & Code

Chang-Woo Rhee ยท Aug 02, 2026

Neural Network Backpropagation โ€” Worked ExamplePart 2: Complete forward pass and backward pass with actual numbers, A...
#python #sigmoid #math #integration #ai #backpropagation #neural network #chain rule #relu

Math for AI Part 1 โ€” Derivatives & Gradient

Chang-Woo Rhee ยท Aug 02, 2026

Math for Gradient Descent โ€” Worked Examples with NumbersPart 1: Derivatives, Partial Derivatives, Chain Rule, and Ful...
#gradient descent #math #calculus #ai #derivative #partial derivative #chain rule

Ruby Memory โ€” Line by Line Breakdown

Chang-Woo Rhee ยท Aug 02, 2026

Ruby Memory Internals โ€” What Happens Per LineTracing exactly what Ruby allocates on stack and heap for each line of c...
#ruby #rails #memory #heap #stack #gc #rvalue #optimization

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