What's the difference between algebra and union?

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.

Union


Definition:

  • (n.) The act of uniting or joining two or more things into one, or the state of being united or joined; junction; coalition; combination.
  • (n.) Agreement and conjunction of mind, spirit, will, affections, or the like; harmony; concord.
  • (n.) That which is united, or made one; something formed by a combination or coalition of parts or members; a confederation; a consolidated body; a league; as, the weavers have formed a union; trades unions have become very numerous; the United States of America are often called the Union.
  • (n.) A textile fabric composed of two or more materials, as cotton, silk, wool, etc., woven together.
  • (n.) A large, fine pearl.
  • (n.) A device emblematic of union, used on a national flag or ensign, sometimes, as in the military standard of Great Britain, covering the whole field; sometimes, as in the flag of the United States, and the English naval and marine flag, occupying the upper inner corner, the rest of the flag being called the fly. Also, a flag having such a device; especially, the flag of Great Britain.
  • (n.) A joint or other connection uniting parts of machinery, or the like, as the elastic pipe of a tender connecting it with the feed pipe of a locomotive engine; especially, a pipe fitting for connecting pipes, or pipes and fittings, in such a way as to facilitate disconnection.
  • (n.) A cask suspended on trunnions, in which fermentation is carried on.

Example Sentences:

  • (1) He voiced support for refugees, trade unions, council housing, peace, international law and human rights.
  • (2) 2.39pm BST The European Union called for a "thorough and immediate" investigation of the alleged chemical attack.
  • (3) The night before, he was addressing the students at the Oxford Union , in the English he learned during four years as a student in America.
  • (4) David Cameron has insisted that membership of the European Union is in Britain's national interest and vital for "millions of jobs and millions of families", as he urged his own backbenchers not to back calls for a referendum on the UK's relationship with Brussels.
  • (5) Also critical to Mr Smith's victory was the decision over lunch of the MSF technical union's delegation to abstain on the rule changes.
  • (6) Unions have complained about the process for Chinese-backed companies to bring overseas workers to Australia for projects worth at least $150m, because the memorandum of understanding says “there will be no requirement for labour market testing” to enter into an investment facilitation arrangements (IFA).
  • (7) But still we have to fight for health benefits, we have to jump through loops … Why doesn’t the NFL offer free healthcare for life, especially for those suffering from brain injury?” The commissioner, however, was quick to remind Davis that benefits are agreed as part of the collective bargaining process held between the league and the players’ union, and said that they had been extended during the most recent round of negotiations.
  • (8) George Osborne said the 146,000 fall in joblessness marked "another step on the road to full employment" but Labour and the Trades Union Congress (TUC) seized on news that earnings were failing to keep pace with prices.
  • (9) Anna Mazzola, a civil liberties lawyer who advises the National Union of Journalists and whom I consulted, told me that in general if police can view anyone's images, they can only do so in "very limited circumstances".
  • (10) Solzhenitsyn was exiled from the Soviet Union in 1974 and returned to Russia 20 years later.
  • (11) For a union that, in less than 25 years, has had to cope with the end of the cold war, the expansion from 12 to 28 members, the struggle to create a single currency and, most recently, the eurozone crisis, such a claim risks accusations of hyperbole.
  • (12) Both face and paw receptive fields are unions of a certain set of skin areas called compartments.
  • (13) If wide notice is taken of a current spat over what we can read about Shakespeare’s sexuality into the sonnets in the correspondence columns of the Times Literary Supplement, Sonnet 20 may be a future favourite at civil unions.
  • (14) As the US and the European Union adopted tougher economic sanctions against Russia over the conflict in eastern Ukraine and downing of Malaysia Airlines flight MH17 , Russian officials struck a defiant note, promising that Russia would localise production and emerge stronger than before.
  • (15) The values of human dignity, freedom, democracy, equality, the rule of law and the respect for human rights are absolutely fundamental to the European Union.
  • (16) • Queen Margaret Union, one of the University of Glasgow's two student unions, says 200 students there are marching on the principal's office at the moment to present an anti-cuts petition.
  • (17) Whatever else Scott is about, Waverley ends with a vision of Britishness and a British union.
  • (18) A teaching union has questioned appointment of a trustee of Britain's largest academy chain group as chairman of the schools regulator Ofsted , in what was a surprise announcement meant to calm some of the internal conflicts within the coalition.
  • (19) Corruption scandals have left few among the Spanish ruling class untainted, engulfing politicians on the left and right of the spectrum, as well as businesses, unions, football clubs and even the king’s sister .
  • (20) Thatcher made changes to the UK's tax system, some changes to welfare, and many to the nature of British jobs, both through privatisation and economic liberalisation – not least in her battle with the unions.