This page is part of http://www.productontology.org/, a huge, precise dictionary of product types and brand names for marking up Web sites with schema.org or the GoodRelations e-commerce standard.
Breaking news: schema.org has just implemented our proposal to define an additionalType property with the use of this service in mind!
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On this page: Usage(schema.org/Microdata, RDFa, Facebook) Contact Information Caching Policy License Acknowledgments References
URI http://www.productontology.org/id/Integer_factorization
rdfs:subClassOf gr:ProductOrService, http://schema.org/Product
rdfs:label Integer factorization (as a class or brand name of products of services)
Translation(s):
Primfaktorzerlegung@als;
تحليل عدد صحيح إلى عوامل@ar;
Factorització dels enters@ca;
Prvočíselný rozklad@cs;
Primtalsopløsning@da;
Primfaktorzerlegung@de;
Faktorado de entjero@eo;
Factorización de enteros@es;
Zenbaki osoen faktorizazio@eu;
تجزیه اعداد طبیعی@fa;
is rdfs:domain of gr:category gr:color gr:condition gr:depth gr:hasEAN_UCC-13 gr:hasGTIN-14 gr:hasMPN gr:hasManufacturer gr:hasStockKeepingUnit gr:height gr:isAccessoryOrSparePartFor gr:isConsumableFor gr:isSimilarTo gr:weight gr:width
is rdfs:range of gr:includes gr:isAccessoryOrSparePartFor gr:isConsumableFor gr:isSimilarTo
Note: This is a generic list. Some of the properties may not be applicable to this particular type of object.
Trademark Disclaimer: Since this service returns class descriptions for potentiall any series of characters, it cannot indicate automatically whether a name is a registered trademark or otherwise protected. We assume no liability for the absence of trademark rights and other damages. See the section "License" below for details.
One of the most powerful usages of the class definitions from this site is to describe the type of your page and product for the schema.org product markup in Microdata syntax much more precisely.
Simply add the full URI of a class from this site, e.g. http://www.productontology.org/id/Integer_factorization as an additional type as follows:
<div itemscope itemtype="http://schema.org/Product">
<link itemprop="additionalType" href="http://www.productontology.org/id/Integer_factorization" />
<!-- other schema.org properties go in here -->
</div>
Note: In HTML5, it is valid to use the <link> element in the body of a HTML document.
Here is a complete example:
<!DOCTYPE html>
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"/>
<title>An offer to sell a / some Integer_factorization</title>
</head>
<body>
<div itemscope itemtype="http://schema.org/Product" itemid="#product">
<link itemprop="additionalType" href="http://www.productontology.org/id/Integer_factorization" />
<span itemprop="name">.. a short name for the object ...</span>
Product description:
<span itemprop="description">... a longer description ...</span>
<div itemprop="offers" itemscope itemtype="http://schema.org/Offer" itemid="#offer">
<span itemprop="price">$19.99</span>
<link itemprop="availability" href="http://schema.org/InStock" />In stock
</div>
</div>
</body>
</html>
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix pto: <http://www.productontology.org/id/> .
@prefix gr: <http://purl.org/goodrelations/v1#> .
@prefix foo: <http://example.com/> .
# The object
foo:myObject a <http://www.productontology.org/id/Integer_factorization> ;
a gr:SomeItems ;
gr:name "... a short name for the object ..."@en ;
gr:description "... a longer description ..."@en .
# The agent (person or company) who is offering it
foo:ACMECorp a gr:BusinessEntity ;
gr:legalName "ACME Corp" ;
gr:offers foo:Offer .
# The offer to sell it
foo:Offer a gr:Offering ;
gr:includes foo:myObject;
foaf:page <http://URI_of_the_page_containing_the_offer.com>;
gr:hasBusinessFunction gr:Sell ;
gr:validFrom "2011-01-24T00:00:00+01:00"^^xsd:dateTime ;
gr:validThrough "2011-12-24T00:00:00+01:00"^^xsd:dateTime ;
gr:hasPriceSpecification
[ a gr:UnitPriceSpecification ;
gr:hasCurrency "USD"^^xsd:string ;
gr:hasCurrencyValue "19.99"^^xsd:float ;
gr:validThrough "2011-12-24T00:00:00+01:00"^^xsd:dateTime ] .
Note: Replace gr:SomeItems (http://purl.org/goodrelations/v1#SomeItems) by gr:Individual if you are describing a unique object of that kind (e.g. antique furniture).
<!DOCTYPE html>
<html version="HTML+RDFa 1.1" xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"/>
<title>An offer to sell a / some Integer_factorization</title>
</head>
<body>
<div xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"
xmlns:foaf="http://xmlns.com/foaf/0.1/"
xmlns:gr="http://purl.org/goodrelations/v1#"
xmlns:pto="http://www.productontology.org/id/"
xmlns:foo="http://example.com/"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#">
<!-- The agent (person or company) who is offering it -->
<div about="#ACMECorp" typeof="gr:BusinessEntity">
<div property="gr:legalName">ACME Corp</div>
<div rel="gr:offers">
<!-- The offer to sell it -->
<div about="#offer" typeof="gr:Offering">
<div rel="gr:hasBusinessFunction" resource="http://purl.org/goodrelations/v1#Sell"></div>
<div rel="gr:includes">
<!-- The object -->
<div about="#myObject" typeof="http://www.productontology.org/id/Integer_factorization">
<div rel="rdf:type" resource="http://purl.org/goodrelations/v1#SomeItems"></div>
<div property="gr:description" xml:lang="en">... a longer description ...</div>
<div property="gr:name" xml:lang="en">.. a short name for the object ...</div>
</div>
</div>
<div rel="foaf:page" resource="http://URI_of_the_page_containing_the_offer"></div>
<div rel="gr:hasPriceSpecification">
<div typeof="gr:UnitPriceSpecification">
<div property="gr:hasCurrency" content="USD" datatype="xsd:string">$ </div>
<div property="gr:hasCurrencyValue" datatype="xsd:float">19.99</div>
<div property="gr:validThrough" content="2011-12-24T00:00:00+01:00"
datatype="xsd:dateTime"></div>
</div>
</div>
<div property="gr:validFrom" content="2011-01-24T00:00:00+01:00"
datatype="xsd:dateTime"></div>
<div property="gr:validThrough" content="2011-12-24T00:00:00+01:00"
datatype="xsd:dateTime"></div>
</div>
</div>
</div>
</div>
</body>
</html>
Note: Replace gr:SomeItems (http://purl.org/goodrelations/v1#SomeItems) by gr:Individual if you are describing a unique object of that kind (e.g. antique furniture).
<?xml version="1.0" encoding="UTF-8" ?>
<rdf:RDF xmlns:gr="http://purl.org/goodrelations/v1#"
xmlns:pto="http://www.productontology.org/id/"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#"
xmlns:foaf="http://xmlns.com/foaf/0.1/"
xmlns:foo="http://example.com/"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<!-- The object -->
<rdf:Description rdf:about="http://example.com/myObject">
<rdf:type rdf:resource="http://www.productontology.org/id/Integer_factorization"/>
<rdf:type rdf:resource="http://purl.org/goodrelations/v1#SomeItems"/>
<gr:name xml:lang="en">... a short name for the object ...</gr:name>
<gr:description xml:lang="en">... a longer description ...</gr:description>
</rdf:Description>
<!-- The agent (person or company) who is offering it -->
<gr:BusinessEntity rdf:about="http://example.com/ACMECorp">
<gr:legalName>ACME Corp</gr:legalName>
<gr:offers rdf:resource="http://example.com/Offer" />
</gr:BusinessEntity>
<!-- The offer to sell it -->
<gr:Offering rdf:about="http://example.com/Offer">
<gr:includes rdf:resource="http://example.com/myObject" />
<foaf:page rdf:resource="http://URI_of_the_page_containing_the_offer"/>
<gr:hasBusinessFunction rdf:resource="http://purl.org/goodrelations/v1#Sell"/>
<gr:validFrom rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">
2011-01-24T00:00:00+01:00</gr:validFrom>
<gr:validThrough rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">
2011-12-24T00:00:00+01:00</gr:validThrough>
<gr:hasPriceSpecification>
<gr:UnitPriceSpecification>
<gr:hasCurrency rdf:datatype="http://www.w3.org/2001/XMLSchema#string">USD</gr:hasCurrency>
<gr:hasCurrencyValue rdf:datatype="http://www.w3.org/2001/XMLSchema#float">19.99</gr:hasCurrencyValue>
<gr:validThrough rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">
2011-12-24T00:00:00+01:00</gr:validThrough>
</gr:UnitPriceSpecification>
</gr:hasPriceSpecification>
</gr:Offering>
</rdf:RDF>
Note: Replace gr:SomeItems (http://purl.org/goodrelations/v1#SomeItems) by gr:Individual if you are describing a unique object of that kind (e.g. antique furniture).
prefix foaf: <http://xmlns.com/foaf/0.1/>
prefix xsd: <http://www.w3.org/2001/XMLSchema#>
prefix pto: <http://www.productontology.org/id/>
prefix gr: <http://purl.org/goodrelations/v1#>
prefix foo: <http://example.com/>
# Find the cheapest offer for a Integer_factorization
SELECT * WHERE{
?company gr:offers ?offer .
?offer a gr:Offering .
?offer gr:hasBusinessFunction gr:Sell .
OPTIONAL {?offer rdfs:label ?label } .
OPTIONAL {?offer gr:name ?label } .
OPTIONAL {?offer rdfs:comment ?label } .
OPTIONAL {?offer gr:description ?label } .
?offer gr:hasPriceSpecification ?p .
?p a gr:UnitPriceSpecification .
?p gr:hasCurrency ?currency .
?p gr:hasCurrencyValue ?price .
?offer gr:includes ?product .
?product a <http://www.productontology.org/id/Integer_factorization> .
}
ORDER BY (?price)
LIMIT 10
You can also use the class definitions from this site for better describing the type of your page or product for the Facebook Open Graph Protocol.
Simply define the namespace prefix pto: in the <html> element of your page
<html version="HTML+RDFa 1.1"
xmlns="http://www.w3.org/1999/xhtml"
xmlns:pto="http://www.productontology.org/id/"
>and use the compact URI (CURIE) pto:Integer_factorization in combination with og:type as follows:
<meta property="og:type" content="pto:Integer_factorization"/>
A complete example is here.
Univ.-Prof. Dr. Martin Hepp
E-Business and Web Science Research Group
Chair of General Management and E-Business
Universität der Bundeswehr München
Werner-Heisenberg-Weg 39
D-85579 Neubiberg, Germany
Phone: +49 89 6004-4217
eMail: mhepp(at)computer.org (preferred mode of communication)
Web: http://www.heppnetz.de/
Web: http://www.unibw.de/ebusiness/
In order to minimize the load on the Wikipedia API, all requests are cached internally for 72 hours. This means that changes to the English Wikipedia will be available in this service within 72 hours or less if the same entry has been requested before. Classes not requested within the last six hours are always guaranteed to be in sync with the latest version in Wikipedia.
The RDF/XML dump file is updated every 12 hours only.
The class definition text is taken from Wikipedia, the free encyclopedia under a Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0) license. Accordingly, the ontology class definitions are available under the very same license.
Trademark Disclaimer: Since this service returns class descriptions for potentially any series of characters, it cannot indicate automatically whether a name is a registered trademark or otherwise protected. If you want us to block a certain name, please send your request including proof of your rights on the name to our contact address listed below.. Any of the trademarks, service marks, collective marks, design rights or similar rights that are mentioned, used, or cited in this service are the property of their respective owners. Their use here does not imply that you may use them for any purpose other than for the same or a similar informational use as contemplated by the original authors of the underlying Wikipedia articles under the CC-BY-SA and GFDL licensing schemes. Productontology.org is neither endorsed by nor affiliated with any of the holders of any such rights and as such cannot grant any rights to use any otherwise protected materials. Your use of any such or similar incorporeal property is at your own risk.
Thanks to Stefano Bertolo, Julien Chaumond, Bob Ferris, Kingsley Idehen, Axel Polleres, Andreas Radinger, Alex Stolz, and Giovanni Tummarello for very valuable feedback, and to Katharina Siorpaes and Daniel Bachlechner, who contributed to the initial analysis of the stability of Wikipedia URIs back in 2007.
The work on The Product Types Ontology has been supported by the German Federal Ministry of Research (BMBF) by a grant under the KMU Innovativ program as part of the Intelligent Match project (FKZ 01IS10022B).
Wikipedia: Integer factorization, available at http://en.wikipedia.org/wiki/Integer_factorization.
Hepp, Martin: GoodRelations: An Ontology for Describing Products and Services Offers on the Web, Proceedings of the 16th International Conference on Knowledge Engineering and Knowledge Management (EKAW2008), Acitrezza, Italy, September 29 - October 3, 2008, Springer LNCS, Vol 5268, pp. 332-347.
Hepp, Martin; Siorpaes, Katharina; Bachlechner, Daniel: Harvesting Wiki Consensus: Using Wikipedia Entries as Vocabulary for Knowledge Management, IEEE Internet Computing, Vol. 11, No. 5, pp. 54-65, Sept-Oct 2007.
rdfs:comment
In mathematics, integer factorization is the decomposition of a positive integer into a product of integers. Every positive integer greater than 1 is either the product of two or more integer factors greater than 1, in which case it is a composite number, or it is not, in which case it is a prime number. For example, is a composite number because but is a prime number because it cannot be decomposed in this way. If one of the factors is composite, it can in turn be written as a product of smaller factors, for example . Continuing this process until every factor is prime is called prime factorization; the result is always unique up to the order of the factors by the prime factorization theorem. To factorize a small integer using mental or pen-and-paper arithmetic, the simplest method is trial division: checking if the number is divisible by prime numbers and so on, up to the square root of . For larger numbers, especially when using a computer, various more sophisticated factorization algorithms are more efficient. A prime factorization algorithm typically involves testing whether each factor is prime each time a factor is found. When the numbers are sufficiently large, no efficient non-quantum integer factorization algorithm is known. However, it has not been proven that such an algorithm does not exist. The presumed difficulty of this problem is important for the algorithms used in cryptography such as RSA public-key encryption and the RSA digital signature. Many areas of mathematics and computer science have been brought to bear on this problem, including elliptic curves, algebraic number theory, and quantum computing. Not all numbers of a given length are equally hard to factor. The hardest instances of these problems (for currently known techniques) are semiprimes, the product of two prime numbers. When they are both large, for instance more than two thousand bits long, randomly chosen, and about the same size (but not too close, for example, to avoid efficient factorization by Fermat's factorization method), even the fastest prime factorization algorithms on the fastest classical computers can take enough time to make the search impractical; that is, as the number of digits of the integer being factored increases, the number of operations required to perform the factorization on any classical computer increases drastically. Many cryptographic protocols are based on the presumed difficulty of factoring large composite integers or a related problem—for example, the RSA problem. An algorithm that efficiently factors an arbitrary integer would render RSA-based public-key cryptography insecure. (Source: Wikipedia, the free encyclopedia, see http://en.wikipedia.org/wiki/Integer_factorization)
Note: The extraction of the abstract from the Wikipedia page may sometimes yield imperfect results. We are improving the algorithm regularly.