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30 sty 2014 · A k k -tensor is a multilinear function from V × V × ⋯ × V V × V × ⋯ × V to the reals, where V V is a vector space and k k is the number of the V V 's in the above Cartesian product. (Calculus on Manifolds, Michael Spivak, 1965, page 75). This is the best definition I can find.
In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensors.
What is a Tensor? At its core, a tensor is a mathematical object that generalizes the concept of scalars, vectors, and matrices to higher dimensions. In the context of data science, tensors are multi-dimensional arrays of numbers that represent complex data.
A tensor is by definition a multilinear map. In mathematics, this may express a multilinear relationship between sets of algebraic objects. In physics, tensor fields, considered as tensors at each point in space, are useful in expressing mechanics such as stress or elasticity.
15 sie 2024 · Tensors are multi-dimensional arrays with a uniform type (called a dtype). You can see all supported dtypes at tf.dtypes. If you're familiar with NumPy, tensors are (kind of) like np.arrays. All tensors are immutable like Python numbers and strings: you can never update the contents of a tensor, only create a new one. Basics
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."
2 cze 2023 · Tensors are the data structure used by machine learning systems, and getting to know them is an essential skill you should build early on. A tensor is a container for numerical data.
