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Scalars, Vectors and Tensors A scalar is a physical quantity that it represented by a dimensional num-ber at a particular point in space and time. Examples are hydrostatic pres-sure and temperature. A vector is a bookkeeping tool to keep track of two pieces of information (typically magnitude and direction) for a physical quantity. Examples are

Tensors are simply mathematical objects that can be used to describe physical properties, just like scalars and vectors. In fact tensors are merely a ...

Let's create some basic tensors. Here is a "scalar" or "rank-0" tensor . A scalar contains a single value, and no "axes". # This will be an int32 tensor by ...

Find sources: "Scalar–tensor theory" – news · newspapers · books · scholar · JSTOR (December 2018) ( Learn how and when to remove this template message) In theoretical physics, a scalar–tensor theory is a field theory that includes both a scalar field and a tensor field to represent a certain interaction. For example, the Brans ...

The strain rate tensor (or rate of deformation tensor) is the time deriva-tive of the strain tensor. γ˙ ij ≡ dγ ij/dt (1-38) The components of the local velocity vector are v i = du i/dt (1-39). Since the coordinates x i and time t are independent variables, we can switch the order of differentiations. γ˙ ij ≡ ∂v i ∂x j + ∂v j ...

In theoretical physics, a scalar–tensor theory is a field theory that includes both a scalar field and a tensor field to represent a certain interaction.

This question refers to latest version in master branch. When we define a Tensor object, what is the best way to retrieve one of element as scalar value ? x ...

In the following example a 2 by 3 tensor is multiplied by a scalar value (2). # Build a graph graph = tf.Graph() with graph.as_default(): # A 2x3 matrix a ...

Can we compare a scalar with a tensor in tensorflow? In this tutorial, we will discuss this topic. The answer is yes. We can compare a ...

04.05.2016 · In Tensorflow, I'd like to convert a scalar tensor to an integer. Is it possible to do? I need to create a loop and the index of the loop is a scalar tensor, and inside the loop body, I want to use the index to access an entry in a tensor array.

11.04.2018 · This question refers to latest version in master branch. When we define a Tensor object, what is the best way to retrieve one of element as scalar value ? x = torch.Tensor([2, 3]) x.data[0] still returns Tensor type x.numpy()[0] gives scalar value, but with type numpy.int64 which sometimes leads to problems x.tolist()[0] returns int type. Seems for now tolist() works well. …

Apr 11, 2018 · This question refers to latest version in master branch. When we define a Tensor object, what is the best way to retrieve one of element as scalar value ? x = torch.Tensor([2, 3]) x.data[0] still returns Tensor type x.numpy()[0] gives scalar value, but with type numpy.int64 which sometimes leads to problems x.tolist()[0] returns int type. Seems for now tolist() works well. The question is, why ...

13 · In Tensorflow 2.0+, it's as simple as: my_tensor.numpy() ; 3 · You need to create a tf.Session() in order to cast a tensor to scalar with tf.

How do you express quantities ?Scalar, Vector and Tensor! · A scalar can be called as tensor of rank 0 which has only one component,Magnitude. · A Vector can be ...

Returns a Tensor with the specified device and (optional) dtype.If dtype is None it is inferred to be self.dtype.When non_blocking, tries to convert asynchronously with respect to the host if possible, e.g., converting a CPU Tensor with pinned memory to a CUDA Tensor.When copy is set, a new Tensor is created even when the Tensor already matches the desired conversion.

Dec 15, 2021 · Improved limits on the tensor-to-scalar ratio using BICEP and Planck. We present constraints on the tensor-to-scalar ratio r using a combination of BICEP/Keck 2018 and Planck PR4 data allowing us to fit for r consistently with the six parameters of the CDM model without fixing any of them. In particular, we are able to derive a constraint on ...

Modern physics tries to derive all physical theories from as few principles as possible. In this way, Newtonian mechanics as well as quantum mechanics are derived from Hamilton's principle of least action. In this approach, the behavior of a system is not described via forces, but by functions which describe the energy of the system. Most important are the energetic quantities known as the Hamiltonian function and the Lagrangian function. Their derivatives in space are known as Ha…

May 05, 2016 · In Tensorflow, I'd like to convert a scalar tensor to an integer. Is it possible to do? I need to create a loop and the index of the loop is a scalar tensor, and inside the loop body, I want to use the index to access an entry in a tensor array. For example:

Scalars, Vectors and Tensors. A scalar is a physical quantity that it represented by a dimensional num- ... The stress tensor is always symmetric σij = σji.