What's the difference between algebra and complement?

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.

Complement


Definition:

  • (v. t.) That which fills up or completes; the quantity or number required to fill a thing or make it complete.
  • (v. t.) That which is required to supply a deficiency, or to complete a symmetrical whole.
  • (v. t.) Full quantity, number, or amount; a complete set; completeness.
  • (v. t.) A second quantity added to a given quantity to make it equal to a third given quantity.
  • (v. t.) Something added for ornamentation; an accessory.
  • (v. t.) The whole working force of a vessel.
  • (v. t.) The interval wanting to complete the octave; -- the fourth is the complement of the fifth, the sixth of the third.
  • (v. t.) A compliment.
  • (v. t.) To supply a lack; to supplement.
  • (v. t.) To compliment.

Example Sentences:

  • (1) We have cloned the phr gene that encodes DNA photolyase from Salmonella typhimurium by in vivo complementation of Escherichia coli phr gene defect.
  • (2) Patient plasma samples demonstrated evidence of marked complement activation, with 3-fold elevations of C3a desArg concentrations by the 8th day of therapy.
  • (3) Serum complement studies revealed decreased levels of C4, properdin, and C3.
  • (4) Release of 51Cr was apparently a function of immune thymus-derived lymphocytes (T cells) because it was abrogated by prior incubation of spleen cells with anti-thymus antiserum and complement but was undiminished by passage of spleen cells through nylon-wool columns.
  • (5) Many speak about how yoga and surfing complement each other, both involving deep concentration, flexibility and balance.
  • (6) This linkage information was used to design complementation tests to determine allelism with previously characterized complementation groups affecting sensitivity to radiation.
  • (7) Most of the antibodies had some degree of complement-independent neutralizing capacity, but in common was a large neutralization-resistant fraction of virus (range 13 to 78%).
  • (8) Intercistronic complementation of these mutants with pm1493 and dl121, two SV40 mutants that are defective in agnoprotein but encode wild-type T antigen, results in an increased synthesis of agnoprotein in the infected cells.
  • (9) These studies show that complement activation can frequently be detected in the plasma of IgA nephropathy patients.
  • (10) Usually they are characterized by an increased level of complement components involved in the classical pathway and therefore reflect activation by antigen antibody complexes.
  • (11) Allelic complementation was not observed, despite testing of a large number of allele pairs, and alleles suppressible by the ochre suppressor SUP11 were absent from a sample of 48 spontaneous mutants and occurred infrequently (7%) among a sample of ultraviolet-induced mutants.
  • (12) Besides various skin tests with the antigens candida, trichophyton, mumps, streptokinase-streptodornase, tuberculin, DNCB and KLH also in vitro experiments measuring the immunoglobulin- and complement concentrations, the antibody production to KLH, the lymphocyte transformation rate to PHA, Pokeweed, Con A, PPD were done nearly in all patients.
  • (13) Skin allografts survived longer on ALS-treated, complement-deficient (C5 negative) recipients than on ALS-treated, complement-competent (C5 positive) recipients.
  • (14) These antibodies are usually characterized by the conventional platelet complement fixation test.
  • (15) This syndrome is consistently correlated with abnormally elevated serum IgG levels, antinuclear antibodies, anti ds- and ssDNA antibodies, and circulating immune complexes, as well as depressed serum hemolytic complement.
  • (16) This study was conducted using a standard complement-dependent microcytotoxicity assay.
  • (17) A plasmid carrying this mutation, along with wild-type genes encoding the c and b subunits, was unusual in that it failed to complement a chromosomal c-subunit mutation on succinate minimal medium.
  • (18) Viruses isolated from ticks (Ixodes uriae) from a seabird colony on the Isle of May, Scotland, were shown by complement fixation tests to be related to the Uukuniemi and Kemerovo serogroups.
  • (19) In the present study, the role of antiperipheral nerve myelin antibody (anti-PNM Ab) in demyelination by generating the terminal attack complex (C5b-9) of complement was explored in patients with Guillain-BarrĂ© syndrome (GBS) and other demyelinating neuropathies.
  • (20) The same marker was found in all metaphases from 2 different metastases, but skin fibroblasts from the same patient had a normal chromosome complement.