Sentence examples for expanding gradient from inspiring English sources

Our result is optimal in the sense when (M,g) is a complete non-compact expanding gradient Ricci soliton.

Given the higher levels of deuterium recovery, expanded gradient programs can be used to allow for higher chromatographic peak capacity and therefore the analysis of larger and more complex proteins and systems.

In this section, we expand the gradient of J near infinity under the assumption that H satisfies ((f)_{beta} -condition.

Knockdown of NvGrm, which results in an expanded pSMAD1/5 gradient, led to impaired outgrowth of mesenteries and inflated mesogloea (the normally thin extracellular matrix separating the ectodermal and endodermal layers).

Conversely, when a source appeared farther away, cells had to use longer runs to reach the expanding front of the gradient and long adaptation times to integrate the weaker signals at its tails.

Let us expand the local gradient δ i (m) by means of the chain rule for vectors as follows δ i ( m ) = ∂ E ( m ) ∂ v i ( m ) = ∂ z i ( m ) ∂ v i ( m ) ⋅ ∂ v i + 1 ( m ) ∂ z i ( m ) ⋅ ∂ E ( m ) ∂ v i + 1 ( m ) (37).

Our theory predicts which eigenvectors will be localized and how this region expands as the gradient becomes steeper.

A systematic literature review and meta-analysis indicates that the average error between simultaneous ICP measures is small (in the order of 1.5 1.6 mmHg), but in 30%% of readings it could exceed ±6 mmHg When there are intracranial gradients due to expanding masses or unilateral hemorrhages, there are likely to be larger differences between separate ICP measures.

The flow for α < 90° is a favorable gradient and never separates, the expanding area produces, α > 90°, low velocity and increasing pressure, an adverse gradient.

We also investigated how β-catenin signalling interacts with other pathways in the nephron and how the β-catenin activity gradient is limited from expanding proximally.

True differences, when intracranial gradients are caused by expanding masses or unilateral hemorrhages, call for clinical judgment.