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Sentences with TENSOR

Check out our example sentences below to help you understand the context.

Sentences

1
"The tensor analysis provides a mathematical framework for studying physical phenomena."
2
"In high-dimensional spaces, tensor calculus becomes essential for solving complex problems."
3
"The tensor components determine the behavior of a physical system."
4
"The tensor product of two vectors produces a new vector."
5
"A tensor transformation can change the coordinate system of a physical model."
6
"A contraction operation can be used to combine tensor indices."
7
"The tensor rank characterizes the number of indices needed to represent a tensor."
1
"A tensor is a mathematical object that generalizes the concepts of scalars, vectors, and matrices."
2
"In physics, tensors are commonly used to represent physical quantities that have both magnitude and direction."
3
"The stress tensor in mechanics is a mathematical tool used to describe and analyze the distribution of forces within an object."
4
"In deep learning, tensors are multi-dimensional arrays used as the fundamental data structure for representing and manipulating data."
5
"Tensor calculus is a branch of mathematics that deals with operations involving tensors."
6
"The tensor product is a mathematical operation that combines two tensors to create a new tensor."
7
"A second-order tensor can be represented by a 3x3 matrix."
8
"Einstein's field equations in general relativity involve the use of tensors to describe the curvature of spacetime."
9
"A Jacobian tensor is a matrix of partial derivatives used to linearize a system of nonlinear equations."
10
"In fluid mechanics, the velocity gradient tensor is used to study the flow behavior of fluids."
11
"The elastic modulus tensor describes the relationship between stress and strain in an anisotropic material."
12
"A rank-3 tensor has three indices and represents a multi-dimensional array of values."
13
"Quantum mechanics uses tensors to represent quantum states and operators."
14
"The moment of inertia tensor is used to calculate the rotational motion of an object."
15
"A symmetric tensor is one that remains unchanged under certain transformations."
16
"Tensor transposition involves interchanging the indices of a tensor."
17
"The determinant of a tensor can be used to determine its invertibility."
18
"Tensor contraction is an operation that sums over repeated indices in a tensor product."
1
"In mathematics, a tensor is a multidimensional array."
2
"She explained the concept of a tensor using the analogy of a rubber sheet."
3
"The tensor product is a mathematical operation that combines tensors to form a new tensor."
4
"A symmetric tensor is a tensor that remains unchanged when its components are exchanged."
5
"Einstein's theory of general relativity involves tensors to describe the curvature of spacetime."
6
"Tensor calculus is used to study the properties and transformations of tensors."
7
"The stress tensor describes the distribution of stresses within a material."
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