and General Motors and Du Pont were to be ordered to terminate any agreement that provided for the purchase by General Motors of any specified percentage of its requirements of any Du Pont manufactured product, or for the grant of exclusive patent rights, or for a grant by General Motors to Du Pont of a preferential right to make or sell any chemical discovery of General Motors, or for the maintenance of any joint commercial enterprise by the two companies.

The outside surface of the solid units shall be of an exterior grade of panel board such as plywood, plastic coated panel board, high density particle board, asbestos-cement board, or any other product locally obtainable upon recommendation of your building supply dealer.

In any given time period, the aggregate demand for the industry's product is determined by two things: the price charged by the industry, and the level of Aj.

Though it is not easy to apply the evidence of the Iliad to any specific era, this marvelous product of the epic tradition had certainly taken definitive shape by 750.

Several companies also saw possibilities in using the technique for extruding or molding vinyl products with a slight cellular core that would reduce costs yet would not affect physical properties of the end product to any great extent.

: Given any family of nonempty sets, their Cartesian product is a nonempty set.

** The Cartesian product of any family of nonempty sets is nonempty.

There is hardly any product in our surroundings that does not contain at least one adhesive-be it the label on a beverage bottle, protective coatings on automobiles or profiles on window frames.

" An abstraction " is the product of this process – a concept that acts as a super-categorical noun for all subordinate concepts, and connects any related concepts as a group, field, or category.

The fundamental theorem of arithmetic states that any positive integer n can be represented uniquely as a product of powers of primes: where p < sub > 1 </ sub > < p < sub > 2 </ sub > < ... < p < sub > k </ sub > are primes and the a < sub > j </ sub > are positive integers.

It is not known whether a pair of coprime amicable numbers exists, though if any does, the product of the two must be greater than 10 < sup > 67 </ sup >.

The SIG also manages the Bluetooth SIG Qualification program, a certification process required for any product using Bluetooth wireless technology and a pre-condition of the intellectual property license for Bluetooth technology.

The tensor product X ⊗ Y from X and Y is a K-vector space Z with a bilinear function T: X × Y → Z which has the following universal property: If T ′: X × Y → Z ′ is any bilinear function into a K-vector space Z ′, then only one linear function f: Z → Z ′ with exists.

They were unable to detect any product atoms.

are just different notations for expressing an inner product between two elements in a Hilbert space ( or for the first three, in any inner product space ).

According to Unilever, " in blind taste tests, 10 % didn't notice any difference in taste, 40 % preferred the original and 50 % preferred the new product.

Conversely the equilibrium position is said to be " far to the left " if hardly any product is formed from the reactants.

A product is any good produced for exchange on a market.

These categories surely have some objects that are " special " in a certain way, such as the empty set or the product of two topologies, yet in the definition of a category, objects are considered to be atomic, i. e., we do not know whether an object A is a set, a topology, or any other abstract concept – hence, the challenge is to define special objects without referring to the internal structure of those objects.

In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that " the product of a collection of non-empty sets is non-empty ".

Each choice function on a collection X of nonempty sets is an element of the Cartesian product of the sets in X.

Alpha decay is by far the most common form of cluster decay where the parent atom ejects a defined daughter collection of nucleons, leaving another defined product behind ( in nuclear fission, a number of different pairs of daughters of approximately equal size are formed ).

from which it is clear that and for k > n. To see that these coefficients count k-combinations from S, one can first consider a collection of n distinct variables X < sub > s </ sub > labeled by the elements s of S, and expand the product over all elements of S:

Relationships are alleged to include shared collection methods, such as the system described in the popular media as ECHELON, as well as analysed product.

* Knowledge base, a collection of knowledge helping users with a given product

A product group is a " collection of similar products ".

He donated all their research materials, most of which were the product of his career, to the College of Charleston, insisting that the collection be known under Towles ' name alone.

One may define the Cartesian product of any finite collection of sets recursively:

where the product is over all maps from X to compact Hausdorff spaces C. This works intuitively but fails for the technical reason that the collection of all such maps is a proper class rather than a set.

In category theory and its applications to mathematics, a biproduct of a finite collection of objects in a category with zero object is both a product and a coproduct.

In mathematics, Tychonoff's theorem states that the product of any collection of compact topological spaces is compact.

Also let be the direct product of the structures and I be the collection of finite subsets of Σ.

The Hebrew Bible is not a single book but rather a collection of texts, most of them anonymous, and most of them the product of more or less extensive editing prior to reaching their modern form.

A semi-modular synthesizer on the other hand is a collection of modules from a single manufacturer that makes a cohesive product.

Physicians certified in Transfusion Medicine are trained in blood product selection and management, immunohematology, apheresis, stem cell collection, cellular therapy, and coagulation.

He took over the collection of basic slag ( a waste product of steelworks used as fertiliser ) when local company Harrison Ivinson went out of business, and purchased two Ford Thames Trader trucks which were also painted in his favourite colours with his logo on the doors.

The Independent Institute's collection of research does not seem to provide much coverage of intellectual property debates ; its book Winners, Losers and Microsoft approaches the issue of copyright owner monopoly power only indirectly, opining that barriers to entry for a new product can be overcome by offering a discount during an introductory period ; the ability to design software to be compatible with competitors ' products ; potential coordination of customers in switching to a new standard ; etc.

Marketing collateral, in marketing and sales, is the collection of media used to support the sales of a product or service.

The impact of this product was huge as it changed the available Macintosh game library from a very small, select group to nearly the entire collection of PlayStation games.

A business process or business method is a collection of related, structured activities or tasks that produce a specific service or product ( serve a particular goal ) for a particular customer or customers.

The first Stiefel – Whitney class classifies smooth real line bundles ; in particular, the collection of ( equivalence classes of ) real line bundles are in correspondence with elements of the first cohomology with Z / 2Z coefficients ; this correspondence is in fact an isomorphism of abelian groups ( the group operations being tensor product of line bundles and the usual addition on cohomology ).

The Digital Library is the digital descendant of the Maruzen Meiji Microfilm, the product of an ambitious project to microfilm the NDL's entire collection of Meiji era books, a collection of some 60, 000 volumes.