Tensorové

Tensorové is a term that can refer to several related concepts, primarily in mathematics and physics. In its most general sense, a tensor is a geometric object that describes linear relations between geometric vectors, scalars, and other tensors. Tensors generalize scalars (which are rank-0 tensors), vectors (which are rank-1 tensors), and linear operators (which are rank-2 tensors) to higher orders. The rank of a tensor indicates the number of indices required to specify its components.

The components of a tensor change in a predictable way when the coordinate system is changed. This transformation rule is a defining characteristic of a tensor. Tensors are fundamental tools in many areas of physics, including general relativity, where they are used to describe spacetime curvature and the distribution of matter and energy. They also appear in continuum mechanics to describe stress and strain, and in electromagnetism.

In computer science and machine learning, the term "tensor" is often used in a more generalized way to refer to a multi-dimensional array of numbers. This usage, while not strictly adhering to the geometric definition, is practical for representing and manipulating large datasets and complex models. Libraries like TensorFlow and PyTorch are built around the manipulation of these multi-dimensional arrays, hence the name "tensor" becoming widely known in this context. These computational tensors are crucial for tasks like image recognition, natural language processing, and deep learning.