Within the services sector, the main activities in terms of gross value added are business activities, distributive trade, education and public administration.

Organisations such as DHJ and as with the left-wing inherently were no longer seen as the community or civic brotherhoods they once were, previously these societies were the mainstay providers in Kowloon communities of social and distributive services covering ; social security, medicare and funds for distressed wives, pensions, education allowances, free law advice, schools and clinics.

A near-field is an algebraic structure similar to a division ring, except that it has only one of the two distributive laws.

Two terms with the same variables raised to the same powers are called " similar terms " or " like terms ", and they can be combined, using the distributive law, into a single term whose coefficient is the sum of the coefficients of the terms that were combined.

Apart from quantifiers that refer to a unique singularity, like there is and once, they necessarily imply a distributive concept: multiple similar things.

Some theorists have posed a level playing field conception of equality of opportunity, similar in many respects to the substantive principle, ( although it has been used in different contexts to describe formal equality of opportunity ) and it is a core idea regarding the subject of distributive justice espoused by John Roemer and Ronald Dworkin and others.

The composer ’ s model for the distributive serial process corresponds to a development of the Zwölftonspiel of Josef Matthias Hauer " ( Maconie 2005, 56 ), and Goeyvaerts, in such a work as Nummer 4, provides a classic illustration of the distributive function of seriality: 4 times an equal number of elements of equal duration within an equal global time is distributed in the most equable way, unequally with regard to one another, over the temporal space: from the greatest possible coïncidence to the greatest possible dispersion.

" He generally regarded government redistribution of income or capital as an unacceptable intrusion upon individual freedom: " the principle of distributive justice, once introduced, would not be fulfilled until the whole of society was organized in accordance with it.

* It is useful to define gcd ( 0, 0 ) = 0 and lcm ( 0, 0 ) = 0 because then the natural numbers become a complete distributive lattice with gcd as meet and lcm as join operation.

Briefly, a ring is an abelian group with an additional binary operation that is associative and is distributive over the abelian group operation.

* An internal operation ( addition ) which is associative, commutative, distributive and with zero and unity elements

* Heyting algebra: a bounded distributive lattice with an added binary operation, relative pseudo-complement, denoted by infix " ' ", and governed by the axioms x ' x = 1, x ( x ' y )

Often contrasted with just process, which is concerned with the administration of law, distributive justice concentrates on outcomes.

In the context of organizational justice, distributive justice is conceptualized as fairness associated with outcomes decisions and distribution of resources.

Many governments are known for dealing with issues of distributive justice, especially countries with ethnic tensions and geographically distinctive minorities.

Post-apartheid South Africa is an example of a country that deals with issues of re-allocating resources with respect to the distributive justice framework.

Procedural justice concerns the fairness and the transparency of the processes by which decisions are made, and may be contrasted with distributive justice ( fairness in the distribution of rights or resources ), and retributive justice ( fairness in the punishment of wrongs ).

As with ordinary arithmetic, multiplication and addition are commutative and associative, and multiplication is distributive over addition.

* A bounded distributive lattice with an involution satisfying De Morgan's laws ( i. e. a De Morgan algebra ), additionally satisfying the inequality x ∧− x ≤ y ∨− y.

A non-associative algebra ( or distributive algebra ) over a field K is a K-vector space A equipped with a K-bilinear map.

* In the category of modules over some ring R, the product is the cartesian product with addition defined componentwise and distributive multiplication.

; Ring: A ring is a set R with two binary operations, usually called addition (+) and multiplication (*), such that R is an abelian group under addition, a monoid under multiplication, and such that multiplication is both left and right distributive over addition.

Thus, a module, like a vector space, is an additive abelian group ; a product is defined between elements of the ring and elements of the module that is distributive over both parameters and is compatible with the ring multiplication.

* A limited liability company with multiple members that elects to be taxed as partnership may specially allocate the members ' distributive share of income, gain, loss, deduction, or credit via the company operating agreement on a basis other than the ownership percentage of each member so long as the rules contained in Treasury Regulation ( 26 CFR ) 1. 704-1 are met.

The cube root operation is not associative or distributive with addition or subtraction.

The main distinction is between theories that argue the basis of just deserts is held equally by everyone, and therefore derive egalitarian accounts of distributive justice — and theories that argue the basis of just deserts is unequally distributed on the basis of, for instance, hard work, and therefore derive accounts of distributive justice by which some should have more than others.

See: distributive law between monads.

In welfare economics, trade-offs between efficiency and distributive justice, particularly in redistribution – to the extent that a certain policy decreases efficiency – is often visualized by the metaphor of the leaky bucket, imagining income or wealth as water moved between individuals, and inefficiency as leakage.

This establishes a bijection ( up to isomorphism ) between the class of all finite posets and the class of all finite distributive lattices.

This bijection can be extended to a duality of categories between homomorphisms of finite distributive lattices and monotone functions of finite posets.

Another case of Stone duality is Birkhoff's representation theorem stating a duality between finite partial orders and finite distributive lattices.

A fallacy of distribution is a logical fallacy occurring when an argument assumes there is no difference between a term in the distributive ( referring to every member of a class ) and collective ( referring to the class itself as a whole ) sense.

We should distinguish between distributive and redistributive systems.

Other requirements for graduation include the completion of ten " distributive requirements " in a variety of academic fields, proficiency in a foreign language, and completion of a writing class and first-year seminar in writing.

In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice.

then, according to the distributive law, there will be one term in the expansion for each choice of either x or y from each of the binomials of the product.

According to Belloc, the distributive state ( the state which has implemented distributism ) contains " an agglomeration of families of varying wealth, but by far the greater number of owners of the means of production.

Another form is a distributive egalitarianism in which the wealth created by labor is organized and controlled in some equal manner.

For example, Jex & Britt mention research that indicates that interactional justice is a better predictor than procedural justice, which is in turn a better predictor than distributive justice.

This section describes some widely held theories of distributive justice, and their attempts to answer these questions.

In one sense, all theories of distributive justice claim that everyone should get what they deserve.

In his A Theory of Justice, John Rawls used a social contract argument to show that justice, and especially distributive justice, is a form of fairness: an impartial distribution of goods.

Robert Nozick's influential critique of Rawls argues that distributive justice is not a matter of the whole distribution matching an ideal pattern, but of each individual entitlement having the right kind of history.

On the basis of this theory of distributive justice, Nozick argues that all attempts to redistribute goods according to an ideal pattern, without the consent of their owners, are theft.

Some property rights theorists also take a consequentialist view of distributive justice and argue that property rights based justice also has the effect of maximizing the overall wealth of an economic system.

) Georgian and Latin have distributive numbers, such as Latin singuli " one-by-one ", bini " in pairs, two-by-two "), terni " three each ", etc.

the scheme of distributive and corrective justice that would be established under the best political community ; were this to take the form of law, this could be called a natural law, though Aristotle does not discuss this and suggests in the Politics that the best regime may not rule by law at all.

Tactics are more frequently used in distributive negotiations and when the focus in on taking as much value off the table as possible.

To work out the product of two polynomials into a sum of terms, the distributive law is repeatedly applied, which results in each term of one polynomial being multiplied by every term of the other.

Since distributive constructions apply an idea relevant to each individual in the group, rather than to the group as a whole, they are most often conceived of as singular, and a singular pronoun is used.

The fact that singular forms are, nonetheless, more natural in distributive constructions is inadvertently demonstrated by websites that, not having access to the original languages in these cases, assume singular interpretations of they in what are actually translations of plurals.