Sentence examples for as a transform from inspiring English sources

First, every completely positive definite "function" on a locally compact quantum group G arises as a transform of a positive functional on the universal C⁎-algebra Cu0 ˆG) of the dual quantum group.

As a transform of an integrable complex-valued function f of one real variable, it is the complex-valued function f ˆ of a real variable defined by the following equation In the integral equation the function f (y) is an integral transform of F x), and K x,y) is the kernel.

For example, "The workers rejected the ultimatum" is a kernel sentence that may be transformed into the nonkernel sentences "The ultimatum was rejected by the workers" or "Did the workers reject the ultimatum?" Each of these may be described as a transform of the kernel sentence from which it is derived.

Nodes may be of any identification domain, as long as a transform exists between the source and the immediate target.

In case of b n being a random variable, the solution of (76) yields an interesting interpretation, which can be revealed by considering the q n -th output node of the DNN as a transform f of x n, p(q_{n} | mathbf{x}_{n}) = f_{q_{n}}(mathbf{x}_{n}) = z_{q_{n}}, (77).

This boundary served as a transform fault while rifting was active in the Abbot Rift.

The non-Gaussian loading was modelled as a transformed Gaussian process.

She challenged audiences to see her as a transformed person, from an ingénue to a grow-up, multi-talented celebrity".

When considered as a transformed second-degree FP, its significance was much greater.

AXL was initially identified as a transforming gene product, and AXL expression is indeed up-regulated in human tumors [ 40, 41].

We discuss the relation between these results and luminance nonlinearities such as a logarithmic transform, as well as the involvement of contemporary model architectures of binocular vision.