Sentence examples for map in normal from inspiring English sources

Let T be a map in normal form, defined on a neighborhood V of the origin.

Let T be a map in normal form with Q and ℓ as in (9).

From now on, T denotes a map in normal form defined in a neighborhood of the origin.

Let T be a map in normal form (9). If (Q 0) > 0), then there exist (delta >0) and a (C^{1}) curve (phi^{u} subset mathcal{B}_{delta }cap mathcal{Q}_{1}) with one endpoint at ((0,0)) and the other one on the line (x=delta ) such that (i) (phi^{u}) is (T^{-1} -invariant.

Let T be a map in normal form (9). If (Q 0) > 0) and ℓ is odd, or if (Q 0) < 0) and ℓ is even, then there exists (delta > 0), a set (mathcal{B}) such that ((mathcal{B}_{delta } cap mathcal{Q}_{2}) subset mathcal{B} subset mathcal{Q}_{2}), and a (C^{1}) curve (phi^{s} subset mathcal{B}) with one endpoint at ((0,0)) and the other one on the line (x = delta ) such that (i) (phi^{s}) is T-invariant.

Chen, Z. G., Li, T. Q. & Hindmarsh, T. Diffusion tensor trace mapping in normal adult brain using single-shot EPI technique.

ReTm (previously recorded at the iliac crest) were mapped in "normal" aged vertebral bodies (T11 L5 autopsy; 20 females, 10 males) and corresponding proximal femora (autopsy; 10 females).

This study serves as a baseline assessment of the limits imposed on the detection of plastic changes by experimental variations of the digit BOLD fMRI activation maps in normal animals, and as an indicator of the likely performance limits in human studies.

The degree of symmetry in the location and size of muscle maps in normal subjects also appears to be variable.

Typical CE-T1 images, T2 images, R1 maps, and AUC maps in normal, 10-day glioma, and 17-day glioma animals are shown in Figure 4.

These network patterns are in overall agreement with data from previous SCN studies [ 28, 30] and functional connectivity mapping in normal populations [ 52– 52].