Six Mathematical Pillars // Interactive Theory Academy
Formal mathematical foundations powering Zoth Studio and autonomous agent swarms across three tiers of mastery: Beginner Intuition, Intermediate Closed-Form, and Advanced Tensor Equations.
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Pillar I: Linear Algebra
Tensors, projections, geometry, and attention -
Pillar II: Multivariable Calculus
Gradients, loss optimization, and momentum -
Pillar III: Probability & Info Theory
Logit distributions, Shannon entropy, and sampling -
Pillar IV: Hessian & Loss Manifolds
Curvature tensors, saddles, and second-order dynamics -
Pillar V: Lyapunov & Phase Dynamics
Attractors, dynamic coherence, and stability bounds -
Pillar VI: Neuromorphic STDP
Synaptic plasticity, memory traces, and causality