The stress-energy tensor is a tensor quantity in physics that describes the density and flux of energy and momentum in spacetime, generalizing the stress tensor of Newtonian physics. It is an attribute of matter, radiation, and non-gravitational force fields. The stress-energy tensor is the ...
“Whether a physical quantity should be a tensor or not is a decision for the physicist to make...
Divergence, curl, and gradient are operations commonly used in continuum mechanics and physics for transforming tensor fields into other forms of tensor fields using partial derivatives. For example, divergence [62] is a tensor operator that produces tensor field giving the quantity of a tensor field...
For example, divergence [62] is a tensor operator that produces tensor field giving the quantity of a tensor field's source at each point. Gradient descent is an important optimization machine learning algorithm which finds the values of parameters of a differentiable function that minimizes the ...
In the theory's mathematical formulation, all these quantities are but aspects of a more general physical quantity called the energy–momentum tensor. 在理论的数学方程中,这些量都是但又只是一个范围更广的物理量的一部分,它叫做应力-能量张量。 LASER-wikipedia2 To reduce the computational cost and...
As we already know, the tensor transformation rule means that the tensor components transform while the tensor itself corresponds to a (geometric or physical) coordinate-independent quantity. When we change the coordinate system, our point of view changes, and hence we may see something different ...
Measurable Quantity:A quantity is measurable, if and only if, the size, degree, or amount of the quantity can be determined. For example, the amount of money in the wallet is a measurable quantity. In other words, measurable quantities are also known as physical qu...
I am stuck with a tensor problem. Can you please help me solving these coupled pdes(Attached in the image). The unknowns are u, pw and T Dear Aminul, Your problem is significantly different from mine. While I am trying to solve for a quantity which is a tensor field, you merely have...
a term in mathematics that came into use in the mid-19th century and has since been employed in two distinct senses. The term is most commonly used in the modern tensor calculus, where it refers to a special type of quantity that transforms according to a special law. In mechanics, partic...
The notion of second-order depolarization is introduced and is shown to be a useful quantity for obtaining information on the translational and rotational motions of microsystems and their optical anisotropy.doi:10.1080/00268977600100471Kozierowski, M....