What's the difference between algebra and difference?

Algebra


Definition:

  • (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.

Difference


Definition:

  • (n.) The act of differing; the state or measure of being different or unlike; distinction; dissimilarity; unlikeness; variation; as, a difference of quality in paper; a difference in degrees of heat, or of light; what is the difference between the innocent and the guilty?
  • (n.) Disagreement in opinion; dissension; controversy; quarrel; hence, cause of dissension; matter in controversy.
  • (n.) That by which one thing differs from another; that which distinguishes or causes to differ; mark of distinction; characteristic quality; specific attribute.
  • (n.) Choice; preference.
  • (n.) An addition to a coat of arms to distinguish the bearings of two persons, which would otherwise be the same. See Augmentation, and Marks of cadency, under Cadency.
  • (n.) The quality or attribute which is added to those of the genus to constitute a species; a differentia.
  • (n.) The quantity by which one quantity differs from another, or the remainder left after subtracting the one from the other.
  • (v. t.) To cause to differ; to make different; to mark as different; to distinguish.

Example Sentences:

  • (1) All transplants were performed using standard techniques, the operation for the two groups differing only as described above.
  • (2) This study was undertaken to determine whether the survival of Hispanic patients with squamous cell carcinoma of the head and neck was different from that of Anglo-American patients.
  • (3) Patients with papillary carcinoma with a good cell-mediated immune response occurred with much lower infiltration of the tumor boundary with lymphocyte whereas the follicular carcinoma less cell-mediated immunity was associated with dense lymphocytic infiltration, suggesting the biological relevance of lymphocytic infiltration may be different for the two histologic variants.
  • (4) Spectral analysis of spontaneous heart rate fluctuations, a powerful noninvasive tool for quantifying autonomic nervous system activity, was assessed in Xenopus Laevis, intact or spinalized, at different temperatures and by use of pharmacological tools.
  • (5) Age difference did not affect the mean dose-effect response.
  • (6) The prenatal risk determined by smoking pregnant woman was studied by a fetal electrocardiogram at different gestational ages.
  • (7) Although the mean values for all hemodynamic variables between the two placebo periods were minimally changed, the differences in individual patients were striking.
  • (8) Phospholipid methylation in human EGMs is distinctly different from that in rat EGMs (Hirata and Axelrod 1980) in that the human activity is not Mg++-dependent, and apparent methyltransferase I activity is located in the external membrane surface.
  • (9) The high amino acid levels in the cells suggest that these cells act as inter-organ transporters and reservoirs of amino acids, they have a different role in their handling and metabolism from those of mammals.
  • (10) The outward currents are sensitive to TEA and their reversal potentials differ.
  • (11) During control, no significant difference between systolic fluctuation (delta Pa) and pleural swings (delta Ppl) was found.
  • (12) This difference was not due to ATPase activity in the assay.
  • (13) No differences between the two substances were observed with respect to side effects and general tolerability.
  • (14) Five probes of high specificity to individual chromosomes (chromosomes 3, 11, 17, 18 and X) were hybridized in situ to metaphase chromosomes of different individuals.
  • (15) The cross sectional area of the aortic lumen was gradually decreased while the length of the stenotic lesion gradually increased by using strips with different width.
  • (16) For male schizophrenics, all symptom differences disappeared except one; blacks were more frequently asocial.
  • (17) Between 22 HLA-identical siblings and 16 two-haplotype different siblings, a significant difference in concordance of reactions for the B-cell groups was noted.
  • (18) It would be fascinating to see if greater local government involvement in running the NHS in places such as Manchester leads over the longer term to a noticeable difference in the financial outlook.
  • (19) Snooker, which became and remains a fixture in the BBC2 schedules, was chosen for showing because it is the sport in which different shades are most significant.
  • (20) Would people feel differently about it if, for instance, it happened on Boxing Day or Christmas Eve?