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Linear Algebra and Python Programming
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At its heart, linear algebra is the study of linear spaces and the linear maps that ope…
A Comprehensive Analysis of the Sigmoid Fami…
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Moving beyond the non-differentiable classical functions, these S-shaped (sigmoidal) fu…
A Deep Dive into Classical Activation Functi…
October 12, 2025
Activation functions are the cornerstone of artificial neural networks. They introduce …
Vector Analysis A Comprehensive Treatise fro…
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Why do we need vectors? Consider the simple act of navigating. Telling a friend "I walk…
On the Domain of a Function A Foundational I…
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Before one can contemplate limits, derivatives, or integrals, one must first rigorously…
An Introduction to Complex Analysis The Gene…
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The trigonometric functions-sine, cosine, and tangent-are born from the geometry of the…