Sentence examples for relative type from inspiring English sources

More generally, it is the analogue of the fact that the relative type of a finite-dimensional simple Lie algebra (in characteristic 0) or of a simple algebraic group is an invariant of the algebra or group in question.

The element c is central and d is a degree derivation for a natural grading of L. If h is the standard Chevalley split Cartan subalgebra of g, then H = h π + k c + k d plays the role of the Cartan subalgebra for E. The invariance of the relative type was established in [1] by using strictly methods from EALA theory.

The (relative) type Δ is an invariant of L. After sorting through the several relevant definitions, the Theorem follows from our conjugacy of Borel Mostow MAD subalgebras in view of the realization of the Lie tori in question as multiloop algebras as established in [3].

Given the relative type of these comparative data, it was not possible to unequivocally ascertain the real status of the CNVs not RT-PCR validated, and hence whether they were deletions or duplications in the reference or in the test samples.

The first, the relative type (O R ) includes the between-subject variance.

No meaningful differences in risk were observed with regard to relative type or race (data not shown).

Here, oesophageal cancer status was fixed as a trait; pair correlations were estimated and concentrated on the following relative types: parents and offspring, siblings, avuncular, and cousins.

Family history was classified as the number of first degree relatives with any cancer, lung cancer, or aerodigestive tract cancers with distinction by relative types.

Family history (FH) by different relative types and risk of upper gastrointestinal (UGI) cancers has been only rarely reported; the data on UGI cancer survival are sparse.

The excess risk due to the presence of affected family members can be classified according to whether disease in the relatives is considered a risk factor for the index person (type I relative risk) or whether the disease status of the index person is considered a risk factor for the relatives (type II relative risk).

To assess the generalizability of our population, we compared disease prevalence and heritability within our families to the general population using relative-type recurrence-risk ratios (lambdas) [ 32- 34].