Sentence examples for the gradient map from inspiring English sources

In this note, we study properties of the gradient map of the isoparametric polynomial.

That is, the number of contours in the gradient map should be small.

Firstly, the magnitude of the biggest contour in the gradient map should be large.

In order to resolve this, the gradient map is extended to points away from boundaries using a computational diffusion process.

The result is normalized with reference to the gradient map and is calculated as the mean of the SSD.

Visual observations of the gradient map show peaks and valleys in canopy openness that visually match openness on photos at corresponding locations in the plot.

Shen et al. [10] suggested a method whose outputs are generated from the gradient maps by employing a Poisson equation.

Then the following conditions are equivalent: (i) the gradient mapping ∇f is strongly metrically subregular at ((bar{x},0)),   (ii) the Hessian matrix (nabla^{2} f(bar{x})) is positive definite.  . the gradient mapping ∇f is strongly metrically subregular at ((bar{x},0)), the Hessian matrix (nabla^{2} f(bar{x})) is positive definite.

It follows from the last inequality that lambda|x-bar{x}|lebiglVert nabla f(x bigrVert quad mbox{for all } xin mathbb {B}_{varepsilon}(bar{x}), which verifies the gradient mapping ∇f is strongly metrically subregular at ((bar{x},0)) with modulus (lambda^{-1}).

The key components of our framework involve detecting regions in the document that can be enhanced by the NIR spectra, compositing the enhanced gradient map using the NIR bands, and reconstructing the final image from the composited gradients.

The resulting gradient map provides detailed information on compositional vegetation patterns.