(n.) That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.
(n.) A treatise on this science.
Example Sentences:
(1) Alphaxalone and endogenous steroid hormone metabolites inhibit the binding of [35S]-t-butyl bicyclophosphorothionate in some regions, enhance it in others and give biphasic concentration-dependence in others, apparently the result of algebraic summation of two effects involving regional-dependent enhancement or inhibition.
(2) When likelihood ratios are expressed as an algebraic function, maximum values are easily determined, hence fixing the limits of DNA analysis.
(3) Older subjects gave higher absolute error correction scores especially at the low error discriminability level, and the younger subjects did not show the negative correction bias (algebraic error) as suggested by the performance of the two older groups.
(4) Many tasks (e.g., solving algebraic equations and running errands) require the execution of several component processes in an unconstrained order.
(5) algebraic sum of these three cosine functions yielded a circadian waveform with peak-times occurring near 0300 and 1130 hr and a trough-time about 2200 hr.
(6) Parameters of quantitative genetic models have traditionally been estimated by either algebraic manipulation of familial correlations (or familial mean squares), biometric model fitting, or multiple-group covariance structure analysis.
(7) The slight diminution of this increase when (+)-erythro-DOPS was administered after inhibition of peripheral decarboxylase, might result from the algebraic sum of two inversely acting processes: suppression of NE synthesis in the capillary walls and enhancement of parenchymatous NE in some brain areas.
(8) The effect of self fertilization on the distribution of genetic types in a population can be represented algebraically by a linear transformation.
(9) Theories of denture retention have suffered from confusion of model, algebraic errors, and misapprehension of the physics of capillarity, adhesion and cohesion, as well as the role of atmospheric pressure.
(10) This derivation, stemming from first principles and founded on experimental data, does not quantitatively specify the additive (K'1) or multiplicative constant (K'2), but constrains the algebraic relationship of QT as a function of R-R.
(11) An algebraic analysis of patterns of hospitalization and case-control selection demonstrates that Berkson's bias will be avoided if both cases and controls are chosen from the community or if he = 0.
(12) By simple algebraic manipulation, Zelman introduced a pair of new reflection coefficients, and a third new parameter gamma which he misleadingly calls the "deviation from the dilute solution approximation."
(13) He merely wanted to highlight how Islam, which produced algebra and kept safe the Greek philosophers of antiquity in the middle ages, had lost its way scientifically by focusing too much on the study of religion.
(14) The graphic representation of family data for the computation of the coefficients of inbreeding [F] and relationship [r] can be replaced by an algebraic method.
(15) Traditional "stimulus-time-locked signal averaging" of human EEG, as usually practiced in both clinical and basic contexts, assumes the superposition principle of algebraic summation for a linear time series.
(16) Analysis of an algebraic model of multi-level exposure misclassification reveals that all odds ratios based on the misclassified data are constrained between the nonmisclassified odds ratio for the most extreme category and the inverse of this value.
(17) Then the integral equation is reduced to a system of algebraic equations of z - 1th degree with N + 1 unknowns.
(18) In the Appendix to this paper an algebraic relation is given which must be satisfied for two cysteine residues to make a disulfide bond.
(19) Understanding patterns that are associated with survival or death may require alternative mathematic approaches, such as group and set theory manipulated by principles of Boolean algebra.
(20) Concordance-dependent ascertainment is easily modeled algebraically; non-independent ascertainment is more complex and we here propose a model based on survival analysis.
Bilinear
Definition:
(a.) Of, pertaining to, or included by, two lines; as, bilinear coordinates.
Example Sentences:
(1) The optimum lipophilicity value for penetration according to the bilinear model was not the same for all the membranes assayed.
(2) The TC model is shown to be superior to the traditional bilinear principal components model in terms of data reduction, confirming the advantage of the TC model's added assumptions.
(3) On the basis of the data obtained with rat skin and Polysorbate 80 in the receptor solution, it can be concluded that for biological membranes the bilinear model obtained is due to their heterogeneous nature.
(4) The studies of 26 normal females and 23 normal males were subjected to bilinear interpolative background subtraction and horizontal profile analysis.
(5) Reliable prediction of Kp values, using K'w (extrapolated capacity factor in 100% water) and P (n-octanol-water partition coefficient) values as independent variables in the parabolic, bilinear, and hyperbolic functions, were assayed.
(6) As a consequence of these interactions, correlation between membrane absorption and lipophilicity, which was clearly hyperbolic in free solution, becomes potential in the presence of surfactant at CMC, whereas at SMC a bilinear correlation is found.
(7) Combination of the pH-partition theory with the bilinear model leads to a simple quantitative model for the precise description of the relationships between lipophilicity, degree of ionization, and absorption, distribution and biological activity of drugs.
(8) In general, the bilinear and bicubic spline methods of interpolation perform about equally.
(9) The time-courses showed bilinear kinetics, but there was no evidence for general suicide-substrate activity with the cyclopropyl amide, and product ratios did not vary with time.
(10) The correlation with the parabolic (Hansch) or bilinear (McFarland-Kubinyi) models are superior to those with the linear models (Free-Wilson or Fujita-Ban), while no significant differences exist between the parabolic and bilinear models.
(11) The slope of the relationship between average firing frequency and injected current (f-I slope) was linear or bilinear in these cells.
(12) The appropriate combination, learned by the network from spontaneous movement, can be approximated by a bilinear operation that can be interpreted as a projection of the visual information on a reference frame that rotates with the arm.
(13) The bilinear model is applied to experimental data of drug absorption, drug distribution and drug activity in biological systems.
(14) When diastolic stress levels are elevated, passive stiffness-stress relations can be better described as bilinear, with a much greater wall stiffness constant in the higher than in the lower stress range.
(15) A piecewise exponential model is used to model relative risks of delivery associated with a previous spontaneous abortion and a model incorporating digit preference is fitted as a generalized bilinear model in GLIM.
(16) Both perceptual and memory data obeyed the bilinear interaction prediction of the normative multiplicative model.
(17) The in vitro activity of this series of mitosenes in an A204 and a L1210 cell line demonstrated a clear bilinear dependence on log P with optimal activity at log P values of 2.8 and 3.3 respectively.
(18) A parabolic and bilinear relationship was shown between log VR(w) and log biological response.
(19) Bilinear analysis using the absorption spectra of tyrosine and copper metallothionein as targets resulted in a two-component solution which was nearly identical to that obtained using trilinear and quadrilinear models, for which no targets are required.
(20) The bilinear model and the parabolic Hansch model are compared by means of the statistical parameters r, s and F, by a partial F test and by an analysis of the residuals obtained with both models.