Since this holds true when performing addition on any real numbers, we say that " addition of real numbers is an associative operation.

In addition to performing for the Pope, the singer participated in a live broadcast on British television for Christmas Eve in 1997, before she flew home to County Donegal to join her family at midnight Mass.

( With the consent of several other bishops, a single bishop has performed the ordination another bishop, in emergency situations, such as times of persecution ), The consecration of a bishop takes place near the beginning of the Liturgy, since a bishop can, in addition to performing the Mystery of the Eucharist, also ordain priests and deacons.

In addition to issues of reliability, the dynamic nature and the diversity of the Internet and its components provide no guarantee that any particular path is actually capable of, or suitable for, performing the data transmission requested, even if the path is available and reliable.

In addition to prayer services, observant traditional Jews recite prayers and benedictions throughout the day when performing various acts.

In addition of performing at games and pep rallies, members function as goodwill ambassadors of the team, participating in corporate, community and charitable events in the Jacksonville metropolitan area where they sign autographs and pose for pictures.

But in addition to performing different tasks, various artisans could have labored at the same job, such as the work of illustration in the Libro de juegos, thereby revealing a variety hands or styles.

In 2009, in addition to his continued work with The Presidents, Ballew began recording and performing as children's artist Caspar Babypants.

In addition to performing their own music, they also hold regular DJ nights where they mix other artist's tracks ( in the style of Brothers Gonna Work It Out ).

The success of the tour encouraged the Oliviers to make their first West End appearance together, performing the same works with one addition, Antigone, included at Leigh's insistence because she wished to play a role in a tragedy.

In addition to recording and performing concerts, ZZ Top has also been involved with films and television.

In addition to performing on air for KVOW, Jennings later worked as a D. J.

In addition to Daley's strong-armed tactics, Washington's time in the Illinois House was also marred by problems with tax returns and allegations of not performing services owed to his clients.

A major disadvantage of webmail is that the hosting corporation or institution retains control over the individual's email as it is performing a storage function in addition to the service function.

In addition to performing some of his own songs the group covered Arctic Monkeys ' " I Bet You Look Good on the Dancefloor ".

In addition, there are several performing arts organizations that present professional theater, including Toby's Dinner Theatre, which has produced the area premieres of several musicals.

Haley hired several new musicians to take their place: Rudy Pompilli on sax, Al Rex ( a former member of the Saddlemen ) on double bass, and Ralph Jones on drums ; in addition, lead guitarist Franny Beecher, who had been a session musician for Haley since Cedrone's death in the fall of 1954, became a full-time Comet and Haley's first performing lead guitarist.

In addition, two complementary awards are given: The Ramon John Hnatyshyn Award for Voluntarism in the Performing Arts, recognizing the voluntary services to the performing arts by an individual or group, and the National Arts Centre Award, which recognizes an individual artist's or company's work during the past performance year.

As such, they often have diverse responsibilities that may include training pathology residents, teaching medical students, conducting basic, clinical, or translational research, and / or performing administrative duties, all in addition to the practice of diagnostic anatomical pathology.

In addition to performing linear classification, SVMs can efficiently perform non-linear classification using what is called the kernel trick, implicitly mapping their inputs into high-dimensional feature spaces.

But in addition, throughout the 1970s, salsa groups from Colombia, the Dominican Republic, and Venezuela, among other Latin American nations, emerged, composing and performing music that related to their own specific cultural experiences and affiliations, which posited salsa as a cultural identity marker for those nations as well.

In addition to performing, Hattie was also a songwriter, a skill she honed while working with her brother's minstrel show.

Montero had set up a strong position, using every bale and box we had in addition to barricades of logs and brush.

Besides showing no inclination, apparently, to absent himself from his native region even for short periods, and in addition writing a shelf of books set in the region, he has handled in those books an astonishingly complete list of matters which have been important in the South during the past hundred years.

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

In addition to omitting the axiom of regularity, non-standard set theories have indeed postulated the existence of sets that are elements of themselves.

The method of standard addition is used in instrumental analysis to determine concentration of a substance ( analyte ) in an unknown sample by comparison to a set of samples of known concentration, similar to using a calibration curve.

Typical examples of binary operations are the addition (+) and multiplication (×) of numbers and matrices as well as composition of functions on a single set.

Some authors require in addition that μ ( C ) < ∞ for every compact set C. If a Borel measure μ is both inner regular and outer regular, it is called a regular Borel measure.

If, for instance, an addition operation was requested, the arithmetic logic unit ( ALU ) will be connected to a set of inputs and a set of outputs.

If the addition operation produces a result too large for the CPU to handle, an arithmetic overflow flag in a flags register may also be set.

The range of times and places in which the horrors of the Mythos can be encountered was also expanded in late 2005 onwards with the addition of Cthulhu Dark Ages by Stéphane Gesbert, which gives a framework for playing games set in eleventh-century Europe, Secrets of Japan by Michael Dziesinski for gaming in modern day Japan, and Secrets of Kenya by David Conyers for gaming in interwar period Africa.

Improvements were made in nursing accommodation in order to recruit more nurses and reduce labour shortages which were keeping 60, 000 beds out of use, and efforts were made to reduce the imbalance “ between an excess of fever and tuberculosis ( TB ) beds and a shortage of maternity beds .” In addition, BCG vaccinations were introduced for the protection of medical students, midwives, nurses, and contacts of patients with TB, while a pension scheme was set up for employees of the newly-established NHS.

In all of these approaches, in addition to the choice of method, it is necessary to choose a basis set.

The scheme functions slightly differently in each area, and is managed by each branch, but the overall rule is that each participating pub is allowed to purchase beer from whatever brewery they wish, but if it the beer is to be promoted as a ' LocAle ' it must come from a brewery within a predetermined number of miles ( which is set by each CAMRA branch, but generally is around 20 or 25 miles, although, the North London branch has set it at 30 miles ) from brewery to pub door, even if it comes from a distribution centre further away ; in addition, each participating pub must keep at least one LocAle for sale at all times.

S < sub > N </ sub > 1 leads to the non-stereospecific addition and does not result in a chiral center, but rather in a set of geometric isomers ( cis / trans ).

In the Babbage design, one iteration i. e. one full set of addition and carry operations happens once for four rotations of the crank.

The Ethiopian Orthodox Deuterocanon, in addition to the standard set listed above, along with the books of Esdras and Prayer of Minasse, also includes some books that are still held canonical by only the Ethiopian Church, including Enoch or Henok ( I Enoch ), Kufale ( Jubilees ) and 1, 2 and 3 Meqabyan ( which are sometimes wrongly confused with the " Books of Maccabees ").

In addition to element refinements, Qualified Dublin Core includes a set of recommended encoding schemes, designed to aid in the interpretation of an element value.

The architecture defined a set of 32 integer registers and a set of 32 floating-point registers in addition to a program counter, two lock registers and a floating-point control register ( FPCR ).

In addition to infrared lasers, sufficiently intense visible and ultraviolet lasers can also easily set paper afire.

In addition to his body of music, Satie also left a remarkable set of writings, having contributed work for a range of publications, from the dadaist 391 to the American culture chronicle Vanity Fair.

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.