What's the difference between algebra and calculus?

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.

Calculus


Definition:

  • (n.) Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc.
  • (n.) A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation.

Example Sentences:

  • (1) The proportion of teeth per child with calculus was approximately 8 percent for supragingival and 4 percent for subgingival calculus.
  • (2) Attention is drawn to the desirability of differentiating between supra- and sub-gingival calculus in the CPITN scoring system and to the excessive treatment requirements that arise from classifying everyone with calculus as requiring prophylaxis and scaling.
  • (3) This may be one mechanism in the development of a giant vesical calculus.
  • (4) Among preventive procedures, most dentists removed plaque or calculus.
  • (5) Eleven patients spontaneously passed the calculus, ten prior to delivery and one patient postpartum.
  • (6) Basic laboratory studies then demonstrated that short pulsed laser energy absorbed by the calculus resulted in fragmentation.
  • (7) Renal calculus removal was successful in over 78.1% of the patients (91.3% for recent 4 months).
  • (8) Organization of a central laboratory for calculus analysis is recommended.
  • (9) Nearly half (48%) of this calculus accumulated within the first 3 weeks.
  • (10) The study has shown that: There is a significant increase in the severity of gingivitis during pregnancy; The gingival changes progressively increase during the course of pregnancy; The gingival changes are more marked than the periodontal changes seen during pregnancy (increase in periodontal disease was seen in only a limited number of cases); There was an appreciable increase in the calculus and debris deposits in the pregnant as compared to the nonpregnant women; Increase in the calculus and debris deposits was apparent in all the trimesters of pregnancy; Gingival changes showed a greater correlation with the calculus and the debris index in the pregnant than in the nonpregnant women; The role of the irritant oral deposits either as a precipitating or perpetuating factor in the genesis of gingivitis during pregnancy can not be excluded.
  • (11) One hundred and three adults completed a double-blind, 6-month controlled study to assess the effects of rinsing with Plax (Oral Care Division of Pfizer Inc., New York, NY) before brushing on plaque, gingivitis and calculus.
  • (12) The political calculus here is clear: it is about fighting a battle on two fronts.
  • (13) In a prospective study, the influence of sole Diclofenac-Na therapy (3 X 25 mg Rewodina, Voltaren) on the calculus recurrence rate of eight frequently relapsing and therapy resistant calcium-oxalate stone patients is analysed.
  • (14) Calculus was assessed using the Volpe-Manhold Index.
  • (15) Prior overnight occlusion of the ureter by means of ureteral dilatation further facilitates dislodgment of the calculus, which was successful in 12 of 13 patients.
  • (16) At concentrations of 4 or 5%, swabbed over molar teeth, it was essentially equally effective in retarding the formation of rat calculus.
  • (17) Organic phosphonates have been introduced in dentifrices to reduce the formation of dental calculus.
  • (18) Retrograde nephrostomy and subsequent calculus removal were completed successfully in 90 and 83 per cent of the 30 patients, respectively.
  • (19) It has been reported that dental calculus contains trace elements of mercury besides lead, cadmium and zinc.
  • (20) No calculus formation or crystalluria was observed.