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Mathematical & Computational Physics

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Mathematical & Computational Physics

Taylor Series

An infinite polynomial series representation of a smooth function expressed in terms of its higher-order derivatives evaluated at a single…

f(x) = ∑_(n=0)^(∞) (f^(n)(a) / n!) (x - a)^n Infinite Polynomial Expansion Mathematical & Computational Physics

Tensor

A multilinear geometric object describing linear relationships between algebraic vectors, tensors, and scalars independent of coordinate…

T'^ij = (∂x'^i / ∂x^k) (∂x'^j / ∂x^l) T^kl Geometric Multilinear Object