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Hrvoje Zoric
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Explain, plase to me: 2D covariant, conravariant and physical components of vector. I can not find this thematic in my official study book.
Hrvoje Zoric said:Explain, plase to me: 2D covariant, conravariant and physical components of vector. I can not find this thematic in my official study book.
A tensor is a mathematical object that represents the relationship between vectors and scalars in a multidimensional space. It is important because it allows us to describe physical quantities in a way that is independent of the coordinate system used.
Covariant components of a tensor transform in the same way as the coordinates of the underlying space, while contravariant components transform in the opposite way. This means that covariant components change when the coordinate system is rotated or stretched, while contravariant components stay the same.
In physics, physical components are the actual values of a physical quantity in a specific coordinate system. Covariant and contravariant components are related to physical components through a transformation matrix, which takes into account the change in coordinates. This allows us to express physical quantities in different coordinate systems.
Tensors are essential in physics because they allow us to describe physical quantities in an invariant way, meaning they are independent of the coordinate system used. This is important because physical laws and equations should not depend on the choice of coordinates.
Tensors are used in a variety of fields, including physics, engineering, and computer science. They are used to describe physical quantities such as force, stress, and electromagnetic fields. In engineering, tensors are used to model the behavior of materials under different conditions. In computer science, tensors are used in machine learning algorithms for image and speech recognition.