What's the difference between algebra and commutative?

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.

Commutative


Definition:

  • (a.) Relative to exchange; interchangeable; reciprocal.

Example Sentences:

  • (1) The lies Trump told this week: from murder rates to climate change Read more “President Obama has commuted the sentences of record numbers of high-level drug traffickers.
  • (2) In an exceptionally rare turn, the Texas Board of Pardons and Paroles, a panel appointed by the governor that is almost always hardline on executions, recommended that his death sentence be commuted to life in prison because of his mental illness.
  • (3) Whether out of fear, indifference or a sense of impotence, the general population has learned to turn away, like commuters speeding by on the freeways to the suburbs, unseeingly passing over the squalor.
  • (4) It also devalues the courage of real whistleblowers who have used proper channels to hold our government accountable.” McCain added: “It is a sad, yet perhaps fitting commentary on President Obama’s failed national security policies that he would commute the sentence of an individual that endangered the lives of American troops, diplomats, and intelligence sources by leaking hundreds of thousands of sensitive government documents to WikiLeaks, a virulently anti-American organisation that was a tool of Russia’s recent interference in our elections.” WikiLeaks last year published emails hacked from the accounts of the Democratic National Committee and John Podesta, chairman of Hillary Clinton’s election campaign.
  • (5) The surface mount electronic internal controller provides motor commutator, energy management, telemetry, and physiologic control functions.
  • (6) The pair woke up early and gathered their birth certificates, social security cards and passports before making the roughly three-hour commute.
  • (7) But Clegg also says he is not going to be cowed into taking Cameron's vow of silence about Farage's assertion that he finds Britain unrecognisable and is uncomfortable at the lack of English spoken on commuter trains out of Charing Cross.
  • (8) Well, news from the commuters and the rail users is that we don't like it, and we want a cheaper more equitable service.
  • (9) Two weeks after the July 7 suicide bomb attacks that killed 52 London commuters and injured more then 750, Shahid, a young Londoner who had just completed his fourth year at medical school, flew to Pakistan .
  • (10) Stephen Joseph, its chief executive said: "This is bitter news for everyone who relies on the train to get to work, not least the large number of commuters in marginal constituencies who will be a key group at the next election."
  • (11) Concluding an inquiry into the experience of rail passengers that became dominated by the events at Southern , the transport select committee said commuters had been badly let down.
  • (12) When you factor in commuting costs, it's not surprising many families decide it doesn't make sense financially for both parents to work.
  • (13) If you are a London commuter dreading tube strike chaos this evening and tomorrow there is an alternative to fighting your way on to overcrowded buses or a long walk.
  • (14) Prenatal care is provided in rural areas by health care people that commute from the cities.
  • (15) Sir Stephen Richards, 59, was arrested by detectives investigating an alleged sexual assault on a commuter service between London Waterloo and Wimbledon in south-west London.
  • (16) Another described First Great Western as " the worst commuter line I've ever had to endure ": "Not only is it the most expensive train line in Europe, it was never on time.
  • (17) Mahaneela Choudhury-Reid, a Londoner of colour, clashed with a smartly dressed commuter during what should have been the mid-morning quiet.
  • (18) Transport for London stepped in with a £750m pledge to prevent meltdown in the public-private partnership for the underground yesterday, as the capital's mayor warned of a "difficult period" for commuters after the tube's biggest maintenance firm entered administration.
  • (19) Potential London escapees will probably be put off by the cost of commuting, as an annual season ticket costs about £5,000, and the knowledge that state schools in London are better, on the whole, although Oxford has a stellar independent sector thanks to the likes of Oxford High School for Girls and Magdalen College School .
  • (20) The commutations are meant to combat the strict mandatory minimum sentences for drug crimes – symbolically, at least – an area where Republicans and Democrats both support reform .