Since R is an Abelian group and multiplication in a ring is bilinear ( distributive ), this makes R a preadditive category.

Since these two constructions are inverses of each other, we can say that every Boolean ring arises from a Boolean algebra, and vice versa.

Since bundle theory states that all concrete particulars are merely constructions or ' bundles ' of attributes, or qualitive properties, the substance theorist's indiscernibility argument claims that the ability to recognize numerically different concrete particulars, such as concrete objects, requires those particulars to have discernible qualitative differences in their attributes and that the metaphysical realist who is also a bundle theorist must therefore concede to the existence of ' discernible ( numerically different ) concrete particulars ', the ' identity of indiscernibles ', and a ' principle of constituent identity '.

Since many common constructions in mathematics are limits or colimits, this provides a wealth of information.

Since the techniques of calculus were unknown, it was generally presumed that a squaring should be done via geometric constructions, that is, by compass and straightedge.

Since projective geometry excludes compass constructions, there are no circles, no angles, no measurements, no parallels, and no concept of intermediacy.

Since the 1930s they were mostly replaced with cantilever constructions, and became rare except in light aircraft.

Since the t ' i-yung or " essence-function " construction is originally used by East Asian Buddhists to show a non-dualistic and non-discriminate nature in their enlightenment experience, it should not exclude any other frameworks such as neng-so or " subject-object " constructions.

Since the sphere is not an affine space, familiar properties of affine constructions may fail, though the constructed curves may otherwise be entirely satisfactory.

Since this is an expression of time rather than modality, constructions with will ( or sometimes shall ; see above and at shall and will ) are often referred to as the future tense of English, and forms like will do, will be doing, will have done and will have been doing are often called the future simple, future progressive ( or continuous ), future perfect and future perfect progressive ( continuous ).

Since then, several solutions have been described in the literature, including combinatorial constructions, one-time revocation schemes based on secret sharing techniques, and tree-based constructions.

* Since 1995: " Barrieren " ( Barriers ) — foundation-like, knee-high constructions in concrete and steel reinforcement, made on site, designed for the dimensions of the space, and blocking the evident path through the room.

Since then, many other drugs have been developed to treat cancer, and drug development has exploded into a multibillion-dollar industry, although the principles and limitations of chemotherapy discovered by the early researchers still apply.

Since at least the 1940s, the approach of traditional Christians was to apply the meaning of cult such that it included those religious groups who use other scriptures beside the Bible or have teachings and practices deviating from traditional Christian teachings and practices.

Since two houses may be very different from one another, a design pattern for houses must be broad enough to apply to both of them, but not so vague that it doesn't help the designer make decisions.

Since the fruit of the poisonous tree doctrine does not apply to Miranda violations, the exclusionary rule exceptions, attenuation, independent source and inevitable discovery, do not come into play.

Since the Licensing Act 2003 premises in England and Wales may apply to extend their opening hours beyond 11 pm, allowing round-the-clock drinking and removing much of the need for lock-ins.

* Since a ship traveling at impulse velocities ( slower than, but approaching, the speed of light ) is still traveling in the normal space-time continuum, concerns of time dilation apply, so high relativistic speeds are avoided unless absolutely necessary ; impulse power is therefore customarily limited to a maximum of ¼ lightspeed.

Since then, only members of non-Muslim minorities such as Hindus, Christians and Zoroastrians are allowed to apply for permits for alcohol.

Since the voters almost surely won't have perfect information, it may not apply to real elections.

Since 2009, countries with non-Latin based alphabets or scripting systems may apply for internationalized country code top-level domain names, which are displayed in end-user applications in their language-native script or alphabet, but use a Punycode-translated ASCII domain name in the Domain Name System.

Since the power flow in a DC link is controlled independently of the phases of the AC networks at either end of the link, this stability limit does not apply to a DC line, and it can transfer its full thermal rating.

Since the newly passed 22nd Amendment did not apply to whoever was president at the time of its passage, he was eligible to run again.

Since breaking a coupling path is equally effective at either the start or the end of the path, many aspects of good EMC design practice apply equally to potential emitters and to potential victims.

Since the resolution stipulates that both principles should apply they can be viewed jointly as giving up land for peace, referred to more concisely as ' land for peace '.

Since the topology on R < nowiki ></ nowiki > X < nowiki ></ nowiki > is the ( X )- adic topology and R < nowiki ></ nowiki > X < nowiki ></ nowiki > is complete, we can in particular apply power series to other power series, provided that the arguments don't have constant coefficients ( so that they belong to the ideal ( X )): f ( 0 ), f ( X < sup > 2 </ sup >− X ) and f ( ( 1 − X )< sup >− 1 </ sup > − 1 ) are all well defined for any formal power series f ∈ R < nowiki ></ nowiki > X < nowiki ></ nowiki >.

Since Chinese Americans were already nearly half the student population, the consent decree had the effect of requiring competitive Lowell high school to apply much higher academic admission standards for Chinese American students than other students.

Since 2001, the Canadian Engineering Accreditation Board has accredited several university programs in software engineering, allowing graduates to apply for a professional engineering licence once the other prerequisites are obtained, although this does nothing to help IT professionals using the title with degrees in other fields ( such as computer science ).

Since multistatic radar may contain both monostatic and bistatic components, the advantages and disadvantages of each radar arrangement will also apply to multistatic systems.

Since a newly-elected member is required to eulogize his predecessor in his installation ceremony, it is not uncommon that potential candidates refuse to apply for particular seats because they dislike the predecessors so much that even an enormous exercise in tact will not suffice.

Since the towns were in the same location, the Postmaster General ordered the towns to apply for a joint post office.

Since March 25, 2001, fifteen States apply the SAAC and have lifted police controls at their internal borders.

Since many sīra reports also contain isnād information and some of the sīra compilers ( akhbārīs ) were themselves practicing jurists and hadīth transmitters ( muḥaddiths ), it was possible to apply the same methods of hadīth criticism to the sīra reports.

Since telephone switches are symmetric ( callers and callees are interchangeable ), the same logic will apply to the output layer, and the middle subswitches will be " square ", having the same number of inputs as outputs.

Since 1988 certain scientists have produced work proposing that Lamarckism could apply to single celled organisms.

Since Protestants accept that men are saved only and decisively by their belief in Christ's atonement, they often rank preaching that message more than sacraments which apply the promises of the gospel to them as members of the Church.

Since the dawn of Newtonian science with its vision of simple mechanical principles governing the entire universe, some philosophers have been tempted by the idea that consciousness could be explained in purely physical terms.

Since Arthur Drews published his The Christ Myth ( Die Christusmythe ) in 1909, occasional connections have been drawn between the modern idea that Christ was a myth and docetist theories.

Since Ōtomo had weak political support from his maternal relatives, the general wisdom of the time held that it was not a good idea for him to ascend to the throne, yet Tenji was obsessed with the idea.

Since the 2005 general election the government has floated the idea of voluntary mergers of local councils, avoiding a costly reorganisation but achieving desired reform.

Since they are produced automatically without any rational analysis and verification ( see the modern idea of the subconscious ) of whether they are correct or not, they need to be confirmed ( epimarteresis: confirmation ), a process which must follow each assumption.

Since 1990 they became the apologists of the idea of civil society as a result of work of communist propaganda in Poland using it as a tool of neoliberal transformation, legitimizing development of the third sector as a substitute for the welfare state.

Since Protagoras is dead, Socrates puts himself in the sophist's shoes and tries to do him the favor of defending his idea ( 166a-168c ).

Since it was often decided by lot which prisoners should be killed, the idea that the god " chose " his victims, through the instrument of the priestesses, must have been a familiar one, apart from the obvious assumption that some were chosen to fall in war.

Since the research by Eleanor Rosch and George Lakoff in the 1970s, categorization can also be viewed as the process of grouping things based on prototypes-the idea of necessary and sufficient conditions is almost never met in categories of naturally occurring things.

Since the NBC network owns the Telemundo company, executives at NBC decided that it would be a good idea for Arrarás to be a panelist for the candidates ' debate during the " Iowa Brown and Black Presidential Forum " in 2004.

Since suicide itself is legal, assistance or encouragement is not punishable by the usual legal mechanisms dealing with complicity and incitement ( German criminal law follows the idea of " accessories of complicity " which states that " the motives of a person who incites another person to commit suicide, or who assists in its commission, are irrelevant ").

Since 1605, Alleyn had owned the manorial estate of Dulwich, and it may have been around this time that he first had the idea of establishing a college or hospital for poor people and the education of poor boys.

Since 2004, one of the awards at the Prix Ars Electronica brings a young innovator or team of innovators to the FutureLab for a summer to develop a budding idea or technology in electronic media.

Since no idea and no literary or philosophical movement ever germinated on Persian or Arabian soil without leaving its impress on the Jews, the Persian Ghazali found an imitator in the person of Judah ha-Levi.

Since no idea and no literary or philosophical movement ever germinated on Persian or Arabian soil without leaving its impress on the Jews, the Persian Ghazali found an imitator in the person of Judah ha-Levi.

Since it is hard to see how this is credible to those who read the poem, perhaps the idea was that Piers was a mask for the author.

Since the Second World War, the idea of the melting pot has become more racially inclusive in the United States, gradually extending also to acceptance of marriage between whites and non-whites.

Since 1955 there was a return to the old idea of a shallow metro network.

Since Reagan's presidency, the non-profit American Security Council Foundation ( ASCF ) has sought to influence United States foreign policy by promoting the idea.

Since the idea was not only to defeat Germany but to destroy Nazism in general, that would have been a highly undesirable development.

Since all we can see of reality is appearances, Kant postulates the idea of an unknowable.

Since no other material was found in his home save what he had purchased from the undercover postal inspectors, Justice Byron White believed the operation had implanted the idea in his mind through mailings decrying politicians for assaulting civil liberties by passing laws such as the one the inspectors hoped he would break.

Since that idea of putting a rudder on the stern can be traced back to the models found in Egyptian tombs, the need to have the concept brought into the Middle East is questionable at best.