Mathematical & Computational Physics
2 terms
Taylor Series
Mathematical & Computational Physics
Infinite Polynomial Expansion
An infinite polynomial series representation of a smooth function expressed in terms of its higher-order derivatives evaluated at a single point a.
f(x) = ∑_(n=0)^(∞) (f^(n)(a) / n!) (x - a)^n
Tensor
Mathematical & Computational Physics
Geometric Multilinear Object
A multilinear geometric object describing linear relationships between algebraic vectors, tensors, and scalars independent of coordinate choice.
T'^ij = (∂x'^i / ∂x^k) (∂x'^j / ∂x^l) T^kl