* In elementary arithmetic, the set of integers, Z, considered as a group under addition, has a unique nontrivial automorphism: negation.

She makes the argument that grouping all people of African descent together regardless of their unique ancestral circumstances would inevitably deny the lingering effects of slavery within the American community of slave descendents, in addition to denying black immigrants recognition of their own unique ancestral backgrounds.

In addition, the population has created styles that are unique to the region.

In addition, 578 unique visits have been made to secondary degree confluences.

The most common way to formalize this is by defining a field as a set together with two operations, usually called addition and multiplication, and denoted by + and ·, respectively, such that the following axioms hold ; subtraction and division are defined implicitly in terms of the inverse operations of addition and multiplication :< ref group =" note "> That is, the axiom for addition only assumes a binary operation The axiom of inverse allows one to define a unary operation that sends an element to its negative ( its additive inverse ); this is not taken as given, but is implicitly defined in terms of addition as " is the unique b such that ", " implicitly " because it is defined in terms of solving an equation — and one then defines the binary operation of subtraction, also denoted by "−", as in terms of addition and additive inverse.

A unique addition to this style of presentation was The Story of the Kelly Gang, made in Australia in 1906.

Critical scholarship generally holds to the two-source hypothesis as most probable, which argues that the author used the Gospel of Mark and the hypothetical Q document in addition to unique material, as sources for the gospel.

In addition, Gesta Danorum offers singular reflections on European affairs in the High Middle Ages from a unique Scandinavian perspective, supplementing what has been handed down by historians from Western and Southern Europe.

In addition, the environment is unique in that it is the only known place where wolves and moose coexist without the presence of bears There are usually around 25 wolves and 1000 moose on the island, but the numbers change greatly year to year.

In addition, Maxwell's equations required that all electromagnetic waves in vacuum propagate at a fixed speed, c. As this can only occur in one reference frame in Newtonian physics ( see Galilean-Newtonian relativity ), the aether was hypothesized as the absolute and unique frame of reference in which Maxwell's equations hold.

In addition to the six boards, there was a Lifan Yuan unique to the Qing government.

In addition, Bo Diddley introduced a new beat and unique electric guitar style, heavily influenced by African music and in turn influencing many later artists.

In addition to its unique architecture, the castle is famous because of persistent myths that it was once the home of Vlad III Dracula.

Gameplay changed significantly ; in addition to the time-limit, Link can use masks to transform into creatures with unique abilities.

For instance we might follow the statement " an integer can be factored as a product of prime numbers " with " the product is unique up to ordering ", meaning the order of the operands is irrelevant, integers and their prime factorization are ; or we might say " the solution to an indefinite integral is, up to addition by a constant ", meaning that the constant is not the focus here, the solution is, and that the addition of a constant is to be regarded as a background, of secondary focus.

The Happy Planet Index, introduced in 2006, is unique among quality of life measures in that, in addition to standard determinants of well-being, it uses each country's ecological footprint as an indicator.

In addition to speed enhancements, TallyGenicom was also known for other important innovations, adding unique features to line matrix technology.

In addition to the unit's tactical variation, they were also unique in two ways:

In addition to their disproportionately large genomes, dinoflagellate nuclei are unique in their morphology, regulation, and composition.

The Hebrew text of Samuel is widely recognised to be heavily corrupted with errors ( meaning that scribes, over the centuries, have introduced many mistakes while copying the original version ), while in addition the Greek and Hebrew versions differ considerably ; modern scholars are still working at finding the best solutions to the many problems this presents.

In addition to this direct employment, the government heavily subsidizes other major employers in other areas of the economy, including Great Greenland's sealskin purchases, Pilersuisoq's rural stores, and some of Air Greenland and Royal Arctic's regional routes.

In addition to his scholarly activities, Neusner has been heavily involved in the shaping of Jewish and Religious Studies in the American University.

In addition to the slave trade, Rhode Island was also heavily involved in the Industrial Revolution.

According to former Prime Minister Patrick Manning, the nation is the financial capital of the Caribbean, and being so heavily reliant on the oil and energy sectors, fosters and facilitates an environment of constant demand for specialized jobs. In addition, the Natural Gas sector is for the first time facing competition from countries such as Qatar and the United States.

In addition to being a parody of James Bond and clearly being heavily influenced by Peter Sellers, Austin Powers represents an archetype of 1960s Swinging London, with his constant advocacy for free love — defending this attitude in an argument with Doctor Evil by arguing that they were rebelling against authority figures like Doctor Evil and the movement would have used less drugs if they had been aware of the long-term consequences — his use of obscure impressions and his clothing style ( including crushed velvet suits and Beatle boots ).

In addition to cutting off supplies to Ukraine, Russian gas flowing through Ukraine — which included nearly all supplies to Southeastern Europe and some supplies to Central and Western Europe — was cut off, creating a major crisis in several countries heavily dependent on Russian gas as fuel.

The band's compositions are heavily influenced by classical music in addition to jazz and – at least in their early years – hard rock.

In addition, many early sword and sorcery writers, such as Robert E. Howard and Clark Ashton Smith, were heavily influenced by the Middle Eastern tales of the Arabian Nights, whose stories of magical monsters and evil sorcerers were a major influence on the genre-to-be.

In addition to the silent " Eugene ," his most familiar characters were the fey, lisping poet Percy Dovetonsils, and the heavily accented German disc jockey, Wolfgang von Sauerbraten.

In addition, while still heavily concentrated in the Southern US, the SBC has member churches across the United States and 41 affiliated state conventions.

Furthermore through the use of color correcting tools and the addition of music and sound, the atmosphere of the movie can be heavily influenced.

In addition, some of Yorke's vocals on Kid A are heavily modified by digital effects ; Yorke's vocal effect on the title song was created with the ondes Martenot, giving an effect comparable to vocoder.

During these periods, in addition to administration of the region, the Secretary of State was also heavily involved in the negotiations with all parties to restore devolved government.

In addition, the album contains several cover songs, including " Day by Day ," from the musical Godspell, and a heavily overhauled version of " In the Light " originally by Charlie Peacock.

Prior to World War II, the British Air Ministry had identified Germany's heavily industrialised Ruhr Valley, and especially its dams, as important strategic targets: in addition to providing hydro-electric power and pure water for steel-making, they also supplied drinking water and water for the canal transport system.

In addition, voters could voluntarily choose to make certain heavily farmed areas a " herd district ," where livestock needed to be fenced in, a process that also became popular in areas where development of hobby farms created conflicts between large and small landowners.

In addition modern and ancient philosophy and his own experiences heavily influenced his new theoretical developments to psychotherapy.

The Mālikī school, in addition, relies heavily upon the practice of the salaf people of Medina as a source ( composed of the Ṣaḥābah, tābi ‘ īn, and the older successors.

In addition, there was an opportunity to assess the impact of preparatory bombardment upon heavily fortified defences.

In addition, Octel innovated substantially new technology which contributed heavily to its success including a system architecture that was physically smaller, faster, more reliable, and much less costly than other corporate vendors.

During the 1970s the limited state of Government finances led Dr. Walsh and his team to attract European Investment Bank and World Bank funding in addition to private and alumni donors at a time when Irish universities depended heavily on the State for funds and did not aggressively seek other avenues of finance.

In addition to the thermodynamic considerations indicated by the phase diagram, the phase transformations in steel are heavily influenced by the kinetics.