What's the difference between algebra and ring?

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.

Ring


Definition:

  • (v. t.) To cause to sound, especially by striking, as a metallic body; as, to ring a bell.
  • (v. t.) To make (a sound), as by ringing a bell; to sound.
  • (v. t.) To repeat often, loudly, or earnestly.
  • (v. i.) To sound, as a bell or other sonorous body, particularly a metallic one.
  • (v. i.) To practice making music with bells.
  • (v. i.) To sound loud; to resound; to be filled with a ringing or reverberating sound.
  • (v. i.) To continue to sound or vibrate; to resound.
  • (v. i.) To be filled with report or talk; as, the whole town rings with his fame.
  • (n.) A sound; especially, the sound of vibrating metals; as, the ring of a bell.
  • (n.) Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
  • (n.) A chime, or set of bells harmonically tuned.
  • (n.) A circle, or a circular line, or anything in the form of a circular line or hoop.
  • (n.) Specifically, a circular ornament of gold or other precious material worn on the finger, or attached to the ear, the nose, or some other part of the person; as, a wedding ring.
  • (n.) A circular area in which races are or run or other sports are performed; an arena.
  • (n.) An inclosed space in which pugilists fight; hence, figuratively, prize fighting.
  • (n.) A circular group of persons.
  • (n.) The plane figure included between the circumferences of two concentric circles.
  • (n.) The solid generated by the revolution of a circle, or other figure, about an exterior straight line (as an axis) lying in the same plane as the circle or other figure.
  • (n.) An instrument, formerly used for taking the sun's altitude, consisting of a brass ring suspended by a swivel, with a hole at one side through which a solar ray entering indicated the altitude on the graduated inner surface opposite.
  • (n.) An elastic band partly or wholly encircling the spore cases of ferns. See Illust. of Sporangium.
  • (n.) A clique; an exclusive combination of persons for a selfish purpose, as to control the market, distribute offices, obtain contracts, etc.
  • (v. t.) To surround with a ring, or as with a ring; to encircle.
  • (v. t.) To make a ring around by cutting away the bark; to girdle; as, to ring branches or roots.
  • (v. t.) To fit with a ring or with rings, as the fingers, or a swine's snout.
  • (v. i.) To rise in the air spirally.

Example Sentences:

  • (1) The Tyr side chain had two conformations of comparable energy, one over the ring between the Gln and Asn side chains, and the other with the Tyr side chain away from the ring.
  • (2) Sterile, pruritic papules and papulopustules that formed annular rings developed on the back of a 58-year-old woman.
  • (3) The teeth were embedded in phenolic rings with acrylic resin.
  • (4) Surgical removal was avoided without complications by detaching it with a ring stripper.
  • (5) The Labour MP urged David Cameron to guarantee that officers who give evidence over the alleged paedophile ring in Westminster will not be prosecuted.
  • (6) These results coupled with previous studies support activation of benz[j]aceanthrylene via both 2 and cyclopenta ring epoxidation.
  • (7) TK1 showed the most restricted substrate specificity but tolerated 3'-modifications of the sugar ring and some 5-substitutions of the pyrimidine ring.
  • (8) Endothelium-dependent relaxations to acetylcholine and endothelium-independent relaxations to nitric oxide were observed in rings from both strains during contraction with endothelin.
  • (9) Aortic rings from the rabbit were similarly potently antagonized by the protein kinase C inhibitors, however, K(+)-induced contractions were also equally sensitive to these agents in both rat and rabbit tissues.
  • (10) The intracellular distribution and interaction of 19S ring-type particles from D. melanogaster have been analysed.
  • (11) Rings of isolated coronary and femoral arteries (without endothelium) were suspended for isometric tension recording in organ chambers filled with modified Krebs-Ringer bicarbonate solution.
  • (12) In all cases Richter's hernia was at the internal inguinal ring.
  • (13) Seventy-five hands showed normal distal latency, in which cases, however, the SNCV of the ring finger was always outside the normal range, while the SNCVs of the thumb, index and middle fingers were abnormal in 64%, 80% and 92% of cases respectively.
  • (14) The cells are predominantly monopolar, tightly packed, and are flattened at the outer border of the ring.
  • (15) Defects in the posterior one-half of the trachea, up to 5 rings long, were repaired, with minimal stenosis.
  • (16) A new analog of salmon calcitonin (N alpha-propionyl Di-Ala1,7,des-Leu19 sCT; RG-12851; here termed CTR), which lacks the ring structure of native calcitonin, was tested for biological activity in several in vitro and in vivo assay systems.
  • (17) The chemical shift changes observed on the binding of trimethoprim to dihydrofolate reductase are interpreted in terms of the ring-current shift contributions from the two aromatic rings of trimethoprim and from that of phenylalanine-30.
  • (18) Three strains of fluorescent pseudomonads (IS-1, IS-2, and IS-3) isolated from potato underground stems with roots showed in vitro antibiosis against 30 strains of the ring rot bacterium Clavibacter michiganensis subsp.
  • (19) Both adiphenine.HCl and proadifen.HCl form more stable complexes, suggesting that hydrogen bonding to the carbonyl oxygen by the hydroxyl-group on the rim of the CD ring could be an important contributor to the complexation.
  • (20) Serial sections from over a hundred such structures show that these are tubular structures and that the 'test-tube and ring-shaped' forms described in the literature are no more than profiles one expects to see when a tubular structure is sectioned.