Tensoriales

Tensoriales refers to quantities that are described by tensors. Tensors are mathematical objects that generalize scalars and vectors. Scalars are zero-order tensors, represented by a single number. Vectors are first-order tensors, represented by a list of numbers (components) that transform in a specific way under a change of basis. Higher-order tensors have more indices and represent more complex relationships between vectors and other tensors.

The defining characteristic of a tensor is how its components change when the coordinate system is transformed. This transformation rule is what distinguishes tensors from mere arrays of numbers. For example, the components of a vector change differently under rotation than the components of a scalar.

In physics and engineering, tensors are used to describe physical quantities that have directionality and magnitude, such as stress, strain, electromagnetic fields, and curvature in spacetime. They provide a concise and general way to express physical laws that are independent of the chosen coordinate system. The concept of tensoriales is fundamental in fields like general relativity, continuum mechanics, and differential geometry. The study of tensors and their properties is known as tensor calculus.