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2. Tensor - Wikipedia

   en.wikipedia.org/wiki/Tensor

   The tensors are classified according to their type (n, m), where n is the number of contravariant indices, m is the number of covariant indices, and n + m gives the total order of the tensor. For example, a bilinear form is the same thing as a (0, 2)-tensor; an inner product is an example of a (0, 2)-tensor, but not all (0, 2)-tensors are inner ...

3. Tensor (machine learning) - Wikipedia

   en.wikipedia.org/wiki/Tensor_(machine_learning)

   In machine learning, the term tensor informally refers to two different concepts (i) a way of organizing data and (ii) a multilinear (tensor) transformation. Data may be organized in a multidimensional array (M-way array), informally referred to as a "data tensor"; however, in the strict mathematical sense, a tensor is a multilinear mapping over a set of domain vector spaces to a range vector ...

4. Category:Tensors - Wikipedia

   en.wikipedia.org/wiki/Category:Tensors

   In mathematics, a tensor is a certain kind of geometrical entity and array concept. It generalizes the concepts of scalar, vector and linear operator, in a way that is independent of any chosen frame of reference. For example, doing rotations over axis does not affect at all the properties of tensors, if a transformation law is followed.

5. Glossary of tensor theory - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_tensor_theory

   The earliest foundation of tensor theory – tensor index notation. [1] Order of a tensor The components of a tensor with respect to a basis is an indexed array. The order of a tensor is the number of indices needed. Some texts may refer to the tensor order using the term degree or rank. Rank of a tensor

6. Raising and lowering indices - Wikipedia

   en.wikipedia.org/wiki/Raising_and_lowering_indices

   A (0,1) tensor is a covector. A (0,2) tensor is a bilinear form. An example is the metric tensor . A (1,1) tensor is a linear map. An example is the delta, , which is the identity map, or a Lorentz transformation .

7. What Is The Difference Between A Celery Stalk And A ... - AOL

   www.aol.com/difference-between-celery-stalk...

   For example, a recipe calling for "one stalk" of celery might actually mean the entire bunch, not just one rib. Using only one rib is such cases could lead to a dish with a much milder flavor than ...

8. Tensor (intrinsic definition) - Wikipedia

   en.wikipedia.org/wiki/Tensor_(intrinsic_definition)

   In mathematics, the modern component-free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of multilinear concept. Their properties can be derived from their definitions, as linear maps or more generally; and the rules for manipulations of tensors arise as an extension of linear algebra to multilinear algebra.

9. Refinance rates for Tuesday, January 7, 2025 - AOL

   www.aol.com/finance/mortgage-and-refinance-rates...

   Average mortgage rates inched higher as of Tuesday, January 7, 2025, pushing borrowing costs for the 30-year benchmark back over 7.00%. Mortgage rates plunged to two-year lows after the Federal ...