In addition, in the USA, a major monthly magazine, Computer Shopper, carried a list of BBSes along with a brief abstract of each of their offerings.

In addition to their abstract properties, group theorists also study the different ways in which a group can be expressed concretely ( its group representations ), both from a theoretical and a computational point of view.

The following properties of integer addition serve as a model for the abstract group axioms given in the definition below.

In addition, as we know today ancient Slavs used only abstract names among nobility.

In computer science, a queue ( ) is a particular kind of abstract data type or collection in which the entities in the collection are kept in order and the principal ( or only ) operations on the collection are the addition of entities to the rear terminal position and removal of entities from the front terminal position.

In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the operations of addition and multiplication.

Among the works exhibited were Le Fauconnier's vast composition Les Montagnards attaqués par des ours ( Mountaineers Attacked by Bears ) now at Rhode Island School of Design Museum, Joseph Csaky's Deux Femme, Two Women ( a sculpture now lost ), in addition to the highly abstract paintings by Kupka, Amorpha ( The National Gallery, Prague ), and Picabia, La Source, The Spring ( Museum of Modern Art, New York ).

The traditional debate has focused on whether an abstract ( immaterial, intelligible ) realm of numbers has existed in addition to the physical ( sensible, concrete ) world.

In abstract algebra, the idea of an inverse element generalises the concept of a negation, in relation to addition, and a reciprocal, in relation to multiplication.

In the branch of mathematics known as abstract algebra, a ring is an algebraic concept abstracting and generalizing the algebraic structure of the integers, specifically the two operations of addition and multiplication.

The following example shows how to use Bison and flex to write a simple calculator program ( only addition and multiplication ) and a program for creating an abstract syntax tree.

In addition to the abstract architecture, ARM offers several microprocessor core designs, including the ARM7, ARM9, ARM11, Cortex-A8, Cortex-A9, and Cortex-A15.

Besides counting fruits, addition can also represent combining other physical and abstract quantities using different kinds of numbers: negative numbers, fractions, irrational numbers, vectors, decimals and more.

A rangatira is a chief, the nominalising suffix-tanga makes the word an abstract noun referring to the quality or attributes of chieftainship, and the addition of intensifier tino in this context means the phrase can be translated as ' highest chieftainship ' ( Kawharu, 1989, p. 314 ), the intention of which was to ' emphasize to a chief the Queen ’ s intention to give the complete control according to their customs ' ( ibid., p. 319 ).

In addition, Unicode also assigns some code points to a small number ( other than for compatibility reasons ) of formatting characters, whitespace characters, and other abstract characters that are not graphemes, but instead used to control the breaks between lines, words, graphemes and grapheme clusters.

His view of arithmetical algebra is as follows: " In arithmetical algebra we consider symbols as representing numbers, and the operations to which they are submitted as included in the same definitions as in common arithmetic ; the signs and denote the operations of addition and subtraction in their ordinary meaning only, and those operations are considered as impossible in all cases where the symbols subjected to them possess values which would render them so in case they were replaced by digital numbers ; thus in expressions such as we must suppose and to be quantities of the same kind ; in others, like, we must suppose greater than and therefore homogeneous with it ; in products and quotients, like and we must suppose the multiplier and divisor to be abstract numbers ; all results whatsoever, including negative quantities, which are not strictly deducible as legitimate conclusions from the definitions of the several operations must be rejected as impossible, or as foreign to the science.

In addition, one can obtain a " short " birth certificate, which is an abstract of the original entry and only includes the surname, forename ( s ), date of birth, sex, registration district and sub-district in which the birth took place.

This is an abuse of notation, since element of matrices being multiplied must allow multiplication and addition, but is suggestive notion for the ( formally correct ) abstract group ( the wreath product of the group G by the symmetric group ).

In abstract algebra, ring theory is the study of rings — algebraic structures in which addition and multiplication are defined and have similar properties to those familiar from the integers.

The Lantern tower was an earlier addition to improve light but its glass was replaced by an abstract design designed by Amber Hiscott in 1998-99.

In addition, Jung discusses the abstract attitude.

In abstract algebra, a matrix ring is any collection of matrices forming a ring under matrix addition and matrix multiplication.

A random-access machine ( RAM ) is an abstract computational-machine model identical to a multiple-register counter machine with the addition of indirect addressing.

In addition, DARPA began to pursue new concepts for small, lightweight satellites ( LIGHTSAT ) and directed new programs regarding defense manufacturing, submarine technology, and armor / anti-armor.

In the same direction, the neo-Piagetian theories of cognitive development suggest that in addition to the concerns above, sequencing of concepts and skills in teaching must take account of the processing and working memory capacities that characterize successive age levels.

Other principles such as Accountability have sometimes been proposed for addition – it has been pointed out that issues such as Non-Repudiation do not fit well within the three core concepts, and as regulation of computer systems has increased ( particularly amongst the Western nations ) Legality is becoming a key consideration for practical security installations.

Languages which utilize vowel length or intonation rather than or in addition to syllabic accents in determining meter, such as Ottoman Turkish or Vedic, often have concepts similar to the iamb and dactyl to describe common combinations of long and short sounds.

Prime numbers give rise to two more general concepts that apply to elements of any commutative ring R, an algebraic structure where addition, subtraction and multiplication are defined: prime elements and irreducible elements.

In addition to the two aliens, Niven includes a number of concepts from his other Known Space stories:

In addition, some concepts from Roman law made their way into the common law.

There is a great similarity between the two ; this is not only one of words, small phrases and concepts but extends to the total structure of the two letters which is in addition different from what is taken to be the standard Pauline form.

In addition, other legal systems have concepts comparable to torts.

In addition, the film helped popularize many ideas about love that have become household concepts now, such as the " high-maintenance " girlfriend and the " transitional person ".

In addition, mathematician Keith Devlin has investigated similar concepts with his book The Math Instinct.

In addition to study and preparation offered through the synagogue and Hebrew schools, bar mitzvah tutors may be hired to prepare the youngster through the study of Hebrew, Torah cantillation and basic Jewish concepts.

In addition to these " fundamentals " there are other important concepts employed in music both in Western and non-Western cultures including " Scales and / or Modes " and " Consonance vs.

A critical task in setting up a business is to conduct research in order to validate, assess and develop the ideas or business concepts in addition to opportunities to establish further and deeper understanding on the ideas or business concepts as well as their commercial potential.

Starting at the Advanced level the square dancer is introduced to square dance concepts, an addition to a call which modifies it in some way.

In addition to providing abstractions for many DVB and MPEG-2 concepts, it provides interfaces for other features like network card control, application download, and layered graphics.

In addition to inventive color and page design concepts, King introduced real-time continuity to comic strips by showing his characters as they grew to maturity and aged over generations.

In addition to the Core Vocabulary, The Makaton Charity has illustrated a Makaton resource of over 7, 000 concepts.

In addition, such characteristically situationist concepts as the construction of situations and the supersession of art were first developed by the LI.

* In mathematics there are, in addition to the dimensions mentioned above ( equal if there is an isometry ), various other concepts of size for sets:

In addition, new aesthetic concepts and architectural solutions were created to reflect their assumed role in history.

Nice aims to be feature-rich, and as such, in addition to the common features of modern object-oriented programming languages, it implements contracts in the style of Eiffel, class extensibility through multimethods, and many concepts drawn from functional programming such as anonymous functions, tuples, pattern matching (“ value dispatch ”), and parametric polymorphism.

: Revisions ( for example, correction of numerous grammatical or spelling errors ; clarification of concepts or methodology ; addition of sections ) are required.

Kulintang music likely evolved from this simple signaling tradition, transitioning into a period consisting of one player, one-gong type ensembles ( like those found among the Ifugao of Luzon or Tiruray of Mindanao ), developing into a multi-gong, multiplayer ensemble with the incorporation of concepts originating from Sunda and finally transforming into the present day kulintang ensemble, with the addition of the d ’ bakan, babndir and musical concepts of Islam via Islam traders.