Sentence examples for determinant line from inspiring English sources

We show that the refined analytic torsion is a holomorphic section of the determinant line bundle over the space of complex representations of the fundamental group of a closed oriented odd-dimensional manifold.

When the Novikov Shubin type invariant is positive, we can define the von Neumann algebra determinant of the Dirac Laplacian and the corresponding element in the determinant line of the space ofL2harmonic spinors on the universal covering space, which we also compute for certain locally symmetric spaces.

All in all, this analysis confirms, refutes or presents unclear evidence about the (prior) signs of several suicide determinants, in line with the discussion above.

As mentioned above, Blimp1 is a zygotic determinant of germ line development, expression of which mediates lineage restriction of pluripotent cells.

Stress as a determinant is in line with earlier studies where it has been related to mothers' over-reporting of behavioral problems [ 68, 69].

Deletion and transplantation experiments later demonstrated that germ plasm acts as a determinant of germ line development (Blackler, 1962; Smith, 1966), and recent work shows that transplanted germ plasm can induce ectopic PGCs (Tada et al., 2012).

Experimental approaches to discovering germ plasm in Hemimetabola are limited, but a study involving destruction of the germ rudiment via irradiation in the cricket Gryllus domesticus (Schwalm, 1965) showed that no specific region of early embryos in this species contains a germ line determinant.

For those reviewing the White Plains plan, the chink in the legal armor is that race is the bottom-line determinant, and in the Supreme Court decision, Chief Justice John G. Roberts Jr. ruled that race-consciousness violated the 14th Amendment.

Thus, a preceding stronger pre-activation of hippocampal-cortical networks rather than a different cortical activation by attentional control appears as a critical determinant of off-line restructuring of task representations.

Embryos of many animal models express germ line determinants that suppress transcription and mediate early germ line commitment, which occurs before the somatic cell lineages are established.

First, regulation of germ line determinants is largely post-transcriptional (Arkov and Ramos, 2010; Richter and Lasko, 2011; Sengupta and Boag, 2012; Nousch and Eckmann, 2013).