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Tensor – obiekt matematyczny będący uogólnieniem pojęcia wektora. Zbiór wszystkich tensorów wraz z działaniami dodawania i mnożenia przez skalar nazywa się przestrzenią tensorową. Tensory, podobnie jak wektory, mogą być swobodne i zaczepione.
To put it succinctly, tensors are geometrical objects over vector spaces, whose coordinates obey certain laws of transformation under change of basis. Vectors are simple and well-known examples of tensors, but there is much more to tensor theory than vectors. The second chapter discusses tensor fields and curvilinear coordinates.
Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important
The following are a few examples: \A tensor is just an n-dimensional array with n indices." \Tensors are simply mathematical objects that can be used to describe physical properties." \Tensors are generalizations of scalars and vectors."
26 lis 2018 · 1. What is a Tensor(A Simple Definition) Tensors are a type of data structure used in machine learning to represent various kinds of objects including scalars, vectors, arrays, matrices and other tensors. Some define tensors as multidimensional arrays.
linking the various forms of tensors1 and, more importantly, in differentiating tensors is the basis of tensor calculus, and the subject of this primer. 1 Examples of tensors the reader is already familiar with include scalars (rank 0 tensors) and vectors
Introduction to Tensor Analysis. Tensor theory provides a remarkably concise mathematical framework for the for-malisation of problems in many branches of physics and engineering.
