Sentence examples for at denoted from inspiring English sources

(4) The unit tangent at, denoted by, must be parallel to either or.

The Clarke's generalized subdifferential of at, denoted by, is defined as follows: (2.2).

Then, the Fréchet derivative of at, denoted by, can be described as (see [1]) (3.5).

Denote as the item to be maximized in (26), then the gradient of at, denoted with, writes.

For and, the nabla derivative of at, denoted by (provided it exists) with the property that for each, there is a neighborhood of such that (2.3).

The generalized gradient of at, denoted by, is defined to be the subdifferential of the convex function at, that is, (2.3).

For a real valued twice differentiable function defined on, denotes the gradient vector of f with respect to x at, denotes the Hessian matrix with respect to x at.

A two-dimensional computational model is presented in which the maximum thermal distortions (with an assumed cell diameter of 50 μm, nucleating at −5 °C while being cooled at 5 °C/min; denoted as Scenario 1) and the lowest-possible thermal distortions (with an assumed cell diameter of 5 μm, nucleating at −20 °C while being cooled at 100 °C/min; denoted as Scenario 2) are determined.

The value of a linear operator at is denoted by.

The open ball of radius centered at is denoted by.

The value of a linear mapping at is denoted by.