tensor properties

Tensors are mathematical objects that can be thought of as multi-dimensional arrays, generalizing scalars (single numbers) and vectors (one-dimensional arrays). They have specific properties related to how they transform under changes in perspective, such as rotation or stretching. This makes tensors valuable in physics and engineering, where they describe physical quantities like stress, strain, or electromagnetic fields. Tensors can represent relationships between different physical states and dimensions, capturing complex interactions in a compact form, enabling us to analyze and predict behaviors in systems ranging from materials to the universe itself.