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addition and field
In addition, demographic inquiries, supposedly involving field investigations, were conducted in selected minor divisions ( circonscriptions ) containing about 3 percent of the total population.
In addition to mathematics and statistics, the arithmetic mean is used frequently in fields such as economics, sociology, and history, though it is used in almost every academic field to some extent.
Alfred's military reorganisation of Wessex consisted of three elements: the building of thirty fortified and garrisoned towns ( burhs ) along the rivers and Roman roads of Wessex ; the creation of a mobile ( horsed ) field force, consisting of his nobles and their warrior retainers, which was divided into two contingents, one of which was always in the field ; and the enhancement of Wessex's seapower through the addition of larger ships to the existing royal fleet.
In addition to field geology training, the astronauts also participated in training for the use of the spacesuits, adapting to the reduced lunar gravity, landing and recovery post-mission, sample collecting, maneuvering in the Lunar Roving Vehicle, survival training and preparation for other technical aspects of the mission.
In mathematics, an associative algebra A is an associative ring that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R. Thus A is endowed with binary operations of addition and multiplication satisfying a number of axioms, including associativity of multiplication and distributivity, as well as compatible multiplication by the elements of the field K or the ring R.
For one thing they had too good an opinion of their own ability ... Another point was their faulty field dispositions, and in addition there was rampant indiscipline and inexperience displayed ...
In addition, Ethiopia had just begun to emerge from a long and brutal famine ; Harold Marcus reminds us that the army was restive over its long service in the field, short of rations, and the short rains which would bring all travel to a crawl would soon start to fall.
For example, the CIA World Factbook uses the word in its " Country name " field to refer to " a wide variety of dependencies, areas of special sovereignty, uninhabited islands, and other entities in addition to the traditional countries or independent states ".< sup id = Note_1 >
In addition to the traditional American team sports ( football, basketball, baseball, and ice hockey ), Dartmouth competes at the varsity level in many other sports including track and field, sailing, tennis, rowing, soccer, skiing, and lacrosse.
Further, as they are vector fields, all magnetic and electric field vectors add together according to vector addition.
In addition, relativity theory shows that in moving frames of reference a magnetic field transforms to a field with a nonzero electric component and vice versa ; thus firmly showing that they are two sides of the same coin, and thus the term " electromagnetism ".
Intuitively, a field is a set F that is a commutative group with respect to two compatible operations, addition and multiplication, with " compatible " being formalized by distributivity, and the caveat that the additive identity ( 0 ) has no multiplicative inverse ( one cannot divide by 0 ).
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.
According to Stallman, " The only thing in the software field that is worse than an unauthorised copy of a proprietary program, is an authorised copy of the proprietary program because this does the same harm to its whole community of users, and in addition, usually the developer, the perpetrator of this evil, profits from it.
In addition, the entire field of synthetic biology began with researchers such as Erik T. Kool, where bases other than A, C, T and G are used in a synthetic DNA.
An example of such a finite field is the ring Z / pZ, which is essentially the set of integers from 0 to p − 1 with integer addition and multiplication modulo p. It is also sometimes denoted Z < sub > p </ sub >, but within some areas of mathematics, particularly number theory, this may cause confusion because the same notation Z < sub > p </ sub > is used for the ring of p-adic integers.
In addition to the field identification of rocks, petrologists identify rock samples in the laboratory.
The most recent addition to the field approach the problem in a different manner.

addition and being
In San Francisco he has worked with Brew Moore, Charlie Mingus, and other `` swinging '' musicians of secure reputation, thus placing himself within established jazz traditions, in addition to being a part of the San Francisco `` School ''.
And this in addition to his usual fear of being among people of high society, his fear of making some inane or inappropriate remark.
Thus, there has come into being a situation in which the state must raise all of its own revenues and, in addition, must give assistance to its local governments.
But Schnabel was a great teacher in addition to being a great performer, and the fact that four of the ten versions I listened to are by Schnabel pupils ( Clifford Curzon, Frank Glazer, Adrian Aeschbacher, and Victor Babin ) also sheds light on the master's pedagogical skills.
In addition, the effects of the 1988 earthquake, which killed more than 25, 000 people and made 500, 000 homeless, are still being felt.
The high price was likely due to the rare documents and packaging offered in the sale in addition to the computer, including the original packaging ( with the return label showing Steve Jobs ' parents ' address, the original Apple Computer Inc ' headquarters ' being their garage ), a personally typed and signed letter from Jobs ( answering technical questions about the computer ), and the original invoice showing ' Steven ' as the salesman.
In addition to being married to Jochebed, Amram is also described in the Bible as having been related to Jochebed prior to the marriage, although the exact relationship is uncertain ; some Greek and Latin manuscripts of the Septuagint state that Jochebed was Amram's father's cousin, and others state that Amram was Jochebed's cousin, but the Masoretic text states that he was Jochebed's nephew.
As a public hygienic measure in addition to regular cleaning, antimicrobial copper alloys are being installed in healthcare facilities and in a subway transit system.
Titration involves the addition of a reactant to a solution being analyzed until some equivalence point is reached.
The latter flame, in addition, offers a more reducing environment, being ideally suited for analytes with high affinity to oxygen. A laboratory flame photometer that uses a propane operated flame atomizer
Amputations are traumatic experiences that reduce the quality of life for patients in addition to being expensive.
The prehistory of arithmetic is limited to a small number of artifacts which may indicate conception of addition and subtraction, the best-known being the Ishango bone from central Africa, dating from somewhere between 20, 000 and 18, 000 BC although its interpretation is disputed.
In addition to this, there are certain circumstances in which some candidates win what are known as overhang seats when the seats are being distributed.
Most lipids have some polar character in addition to being largely nonpolar.
In addition, if all human hemoglobin were free in the plasma rather than being contained in RBCs, the circulatory fluid would be too viscous for the cardiovascular system to function effectively.
In addition to being buried with her wand, she had received great riches which included horses, a wagon and an Arabian bronze pitcher.
The pope, in addition to being the Bishop of Rome and spiritual head of the Catholic Church, is also the Patriarch of the Latin Rite.
Several scholars consider the book to be anonymous, with verse 1: 1 being a later addition.
In addition to English being the film's primary language, French, Latin, and Scottish Gaelic are also spoken.
Today, there is a palette of attack techniques that a block cipher must be secure against, in addition to being robust against brute force attacks.
In 1846 Robert Smirke was replaced as the Museum's architect by his brother Sydney Smirke, whose major addition was the Round Reading Room 1854 – 1857 ; at in diameter it was then the second widest dome in the world, the Pantheon in Rome being slightly wider.
The next major addition was the White Wing 1882 – 1884 added behind the eastern end of the South Front, the architect being Sir John Taylor.
In 1604 James I ordered some further changes, the most significant of these being the addition to the Catechism of a section on the Sacraments.
In addition to being a place of worship, the cathedral or parish church was used by the community in other ways.
And being a citizen often meant being subject to the city's law in addition to having power in some instances to help choose officials.

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