(n.) A function involving the coefficients and the variables of a quantic, and such that when the quantic is lineally transformed the same function of the new variables and coefficients shall be equal to the old function multiplied by a factor. An invariant is a like function involving only the coefficients of the quantic.
Example Sentences:
(1) The difference in HDL and HDL2 cholesterol concentrations between the MI+ and MI- groups or between the MI+ and CHD- groups persisted after adjustment by analysis of covariance for the effect of physical activity, alcohol intake, obesity, duration of diabetes, and glycemic control.
(2) We studied the effects of the localisation and size of ischemic brain infarcts and the influence of potential covariates (gender, age, time since infarction, physical handicap, cognitive impairment, aphasia, cortical atrophy and ventricular size) on 'post-stroke depression'.
(3) The multiple logistic model, the most commonly used model for the analysis of coronary heart disease studies, does not consider survival time in assessment of the dependent covariates and does not account for the censoring which usually occurs in such studies.
(4) However, two methodologic factors might account for the covariation of these 'schizophrenia spectrum' personality traits and measures of brain function.
(5) With baseline measures and body mass index controlled for, analyses of covariance showed that adults had greater systolic blood pressure responses than did children; men had greater blood pressure responses to all stressors than did women; and high school boys had greater systolic blood pressure responses than did high school girls.
(6) Analysis of covariance of the Test III means (Test II as covariate) yielded significant (p less than .05)F-ratios for Vo2max and R at Vo2max.
(7) Second, the commonly drawn analogy between blocking in randomized trials and matching in cohort studies is misleading when one considers the impact of matching on covariate distributions.
(8) When rates were covaried for prior violent crime arrests, White House Case subjects with prior arrests had a significantly higher rate of total posthospitalization violent crime arrests than the matched control sample.
(9) Genetic parameters were estimated from sire components of variance and covariance obtained from a multiple-trait restricted maximum likelihood procedure.
(10) The covariates included in the analysis were age, gender, socioeconomic status, and primary language.
(11) Inhibitory ability covaried with victim maturity, and with months spent in a treatment program.
(12) An error and covariances analysis shows that the method is robust and accurate enough for autonomous navigation.
(13) The comparability of therapeutic effect was also evident within the subset of 81 patients who had adenocarcinoma cell type, although MACC showed a small advantage in survival after covariate analysis.
(14) This methodology was used to evaluate possible kinetic isotope effects after the coadministration of an equimolar mixture of ibuprofen and the deuterium-labeled covariant in the beagle.
(15) Using an analysis of covariance to have statistical control on age, occupational level and depression, the results were statistically significant on the 0.05 level.
(16) Analysis of covariance revealed that the onset of the first ME occurred earlier in Day 10 litters than in Day 4 litters, but litter size had no effect.
(17) Furthermore, the approach provides a nice graphical representation of the relationships between the PK-PD parameters and covariates.
(18) The analysis can include covariates and risk factors.
(19) Analysis proceeded by means of the analysis of covariance with the dental dimorphism indices as the dependent variables.
(20) After adjustment for significant covariates (smoking and serum gamma-glutamyl transpeptidase in both sexes, and age and serum ferritin in women), a twofold increase in the Cd concentration in the soil was accompanied by a 6% decrease in blood Cd in men (R2 = 0.03; P = 0.09) and by a 10% decrease in women (R2 = 0.06; P less than 0.01).
Invariant
Definition:
(n.) An invariable quantity; specifically, a function of the coefficients of one or more forms, which remains unaltered, when these undergo suitable linear transformations.
Example Sentences:
(1) In X-irradiated litters, almost invariably, the incidence of anophthalmia was higher in exencephalic than in nonexencephalic embryos and the ratio of these incidences (relative risk) decreased toward 1 with increasing dose.
(2) On the other hand, the injection of minute quantities of endotoxin into PbAc(2)-sensitized rats invariably resulted in disseminated intravascular coagulation, apparently via a complete activation of the intrinsic pathway.
(3) The cytoplasmic and membrane spanning domains of galactosyltransferase were found to be sufficient to retain all of the hybrid invariant chain in trans Golgi cisternae as judged by indirect immunofluorescence, treatment with brefeldin A and immuno-electron microscopy.
(4) The purification and concentration of these viruses in their monomeric forms is hazardous when conventional "tube" rotors are used since they invariably result in dissociation and aggregation of the virus particles.
(5) In contrast, cases of parkinsonism beginning before age 21 years were invariably familial.
(6) Examination of the two types of tissue fragments revealed that IS-treated ICMs almost invariably retained viable endoderm cells whereas MS-isolated ectoderms did so only exceptionally.
(7) It is suggested that a general manner of folding may be a common feature of the heterogeneous population of kappa-chains: one bridge which folds an invariable stretch of the chain, another bridge which folds a stretch that varies from protein to protein, and a bridge at the C-terminus which is the interchain link.
(8) An obsessional artist who was an enemy of all institutions, cinematic as well as social, and whose principal theme was intolerance, he invariably gets delivered to us today by institutions - most recently the National Film Theatre, which starts a Dreyer retrospective this month - that can't always be counted on to represent him in all his complexity.
(9) Patients with anti-NC1 antibodies were characterised by linear immune deposits along the glomerular basement membrane and the clinical outcome was invariably grim.
(10) The PCR amplified a 375-bp DNA fragment which was cloned and sequenced; the deduced amino acid sequence had significant identity with known TS sequences, including strict conservation of all phylogenetically invariant TS amino acid residues.
(11) Using confirmatory factor analysis on an independent sample (N = 377), these dimensions were tested for factorial invariance across spouse and nonspouse caregivers and between caregivers of persons with cancer and those caring for persons with Alzheimer's disease.
(12) The species invariance of this lysine residue, number 175, and the substantial conservation of adjacent sequence support the probability for a functional role in catalysis of the lysyl epsilon-amino group.
(13) Under these assumptions, any time-invariant variable may behave like a metabolite concentration, i.e.
(14) However, in conical cells the new oral apparatus and fission line form well posterior to the cell equator, so the opisthes are invariably smaller than proters.
(15) Unlike posterior tympanoplasty, this technique makes it possible to meticulously remove the osteitic bone invariably found in the facial recess when there is infection of the retraction pocket.
(16) Limited data indicates that, while enhanced thermal stability invariably results, the optimum temperature for catalysis may not change.
(17) The relative invariance of the allometric baselines of wing morphology in nature is most easily explained as the result of continuous natural selection around a local optimum of functional design.
(18) When the paper had some explaining to do, Kuttner was invariably asked to carry out that task.
(19) We found that NS1 cells express correctly sized mRNA for the MHC class II genes A alpha, E alpha and the invariant chain.
(20) When we reached our summit, or whatever spot was deemed by my father to be of adequately punishing distance from the car to deserve lunch, Dad would invariably find he had forgotten his Swiss army knife (looking back, I begin to doubt he ever had one) and instead would cut cheese into slices with the edge of his credit card.