What's the difference between algebraic and rational?

Algebraic


Definition:

  • (a.) Alt. of Algebraical

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.

Rational


Definition:

  • (n.) A rational being.
  • (a.) Relating to the reason; not physical; mental.
  • (a.) Having reason, or the faculty of reasoning; endowed with reason or understanding; reasoning.
  • (a.) Agreeable to reason; not absurd, preposterous, extravagant, foolish, fanciful, or the like; wise; judicious; as, rational conduct; a rational man.
  • (a.) Expressing the type, structure, relations, and reactions of a compound; graphic; -- said of formulae. See under Formula.

Example Sentences:

  • (1) Our data suggest that a rational use of surveillance cultures and serological tests may aid in an earlier diagnosis of FI in BMT patients.
  • (2) Consensual but rationally weak criteria devised to extract inferences of causality from such results confirm the generic inadequacy of epidemiology in this area, and are unable to provide definitive scientific support to the perceived mandate for public health action.
  • (3) We are the generation who saw the war,, who ate bread received with ration cards.
  • (4) The yeasts amounts used did not protect the test animals from the kidney infiltration with lipids and cholesterol; 12 g of yeasts per 100 g of the ration promoted elevation of sialic acid content in the blood plasma.
  • (5) Spontaneous reports of suspected adverse reactions may be the only way of revealing very rare events but they present great difficulties of rational interpretation.
  • (6) The rational surgical methods of treatment in 85 patients with suppurative hepatic echinococcosis penetrating into the abdomen cavity are presented.
  • (7) Knowledge of these lesions could form the basis for establishing a useful and rational therapy for such cases.
  • (8) It seams rational to proceed to an earlier total correction in these cases when well defined criteria are fullfilled, as the mortality figures of the palliative and corrective procedures have a tendency to reach each other: (3,2 versus 5,7%).
  • (9) --The influence of the digestibility of the energy in the ration on the energetic retention effect of BFC is small.
  • (10) The length of delay is determined by unconscious, non-rational processes, and other factors beyond her control.
  • (11) But it can be a more rational and better developed approach to long-term care based on the experience and knowledge we have gained in the past 50 years.
  • (12) The authors further show how test results can be used rationally by clinicians by so-called threshold analysis.
  • (13) The aetiology remains at present uncertain and therefore rational therapeutic strategies are difficult to plan.
  • (14) The origin of these substances is unknown, but these findings provide a rational basis for trials of benzodiazepine-receptor antagonists in the management of this disorder.
  • (15) We reviewed our experience with 245 thyroidectomies to define the spectrum of hypocalcemia, elucidate the mechanisms of hypocalcemia, and formulate a rational basis for its management.
  • (16) The data obtained can be useful when choosing a rational method for the therapy of gastric scretory disorders.
  • (17) Willie Spies, its legal representative, said: "Rationality has to return to the debate.
  • (18) A 35-kg Duroc pig died 3 days after eating a ration containing aflatoxin B1, B2, G1, and G2.
  • (19) In a Europe (including Britain) where austerity has become the economic dogma of the elite in spite of massive evidence that it is choking growth and worsening the very sickness it claims to heal, there are plenty of rational, sensible arguments for taking to the streets.
  • (20) The resolution of the cellular events which underlie the development of pancreatitis in combination with the introduction of new therapeutic agents may enable a rational and safe protocol to be developed for the support of patients with pancreatitis.