Tensor notation

Tensor notation is a mathematical framework used to describe physical quantities in various fields, such as physics and engineering. Tensors are multi-dimensional arrays of numbers that encapsulate relationships between different physical properties. For example, a vector is a one-dimensional tensor, while a matrix is a two-dimensional tensor. Tensor notation allows for compact representation of complex equations and facilitates operations like addition and multiplication, making it easier to analyze systems involving multiple dimensions, such as spacetime in general relativity. This notation helps scientists and engineers communicate and solve problems involving forces, stresses, and other multidimensional data effectively.