I was really struggling with algebra equations. I am embarrassed to say, but the fact is, I am not good in math.
The main component of an OWL 2 ontology is its set of axioms, the structure of which is described in more detail in Section 9. Because the association between an ontology and its axioms is a set, an ontology cannot contain two axioms that are structurally equivalent.
Apart from axioms, ontologies can also contain ontology annotations as described in more detail in Section 3. The ontology IRI and the version IRI together identify a particular version from an ontology series — the set of all the versions of a particular ontology identified using a common ontology IRI.
In each ontology series, exactly one ontology version is regarded as the current one. Structurally, a version of a particular ontology is an instance of the Ontology UML class from the structural specification. Ontology series are not represented explicitly in the structural specification of OWL 2: Each ontology is associated with an ontology document, which physically contains the ontology stored in a particular way.
The name "ontology document" reflects the expectation that a large number of ontologies will be stored in physical text documents written in one of the syntaxes of OWL 2.
OWL 2 tools, however, are free to devise other types of ontology documents — that is, to introduce other ways of physically storing ontologies. Ontology documents are not represented in the structural specification of OWL 2, and the specification of OWL 2 makes only the following two assumptions about their nature: Each ontology document can be accessed via an IRI by means of an appropriate protocol.
Each ontology document can be converted in some well-defined way into an ontology i. An OWL 2 tool might publish an ontology as a text document written in the functional-style syntax see Section 3. In such a case, each subset of the database representing the information about one ontology corresponds to one ontology document.
To provide a mechanism for accessing these ontology documents, the OWL 2 tool should identify different database subsets with distinct IRIs.
OWL 2 tools will often need to implement functionality such as caching or off-line processing, where ontology documents may be stored at addresses different from the ones dictated by their ontology IRIs and version IRIs.
Furthermore, once the ontology document is converted into an ontology, the ontology SHOULD satisfy the three conditions from the beginning of this section in the same way as if it the ontology document were accessed via I.
No particular redirection mechanism is specified — this is assumed to be implementation dependent. The ontology obtained after accessing the ontology document should satisfy the usual accessibility constraints: An ontology series is identified using an ontology IRI, and each version in the series is assigned a different version IRI.
Assume that one wants to describe research projects about diseases. Managing information about the projects and the diseases in the same ontology might be cumbersome. From a physical point of view, an ontology contains a set of IRIs, shown in Figure 1 as the directlyImportsDocuments association; these IRIs identify the ontology documents of the directly imported ontologies as specified in Section 3.
The logical directly imports relation between ontologies, shown in Figure 1 as the directlyImports association, is obtained by accessing the directly imported ontology documents and converting them into OWL 2 ontologies.
The logical imports relation between ontologies, shown in Figure 1 as the imports association, is the transitive closure of directly imports.Rational Expressions Calculator Add, subtract, multiply, divide and cancel rational expressions step-by-step.
In this lesson you will learn to write rational expressions with a common denominator by making connections to rational numbers. The OWL 2 Web Ontology Language, informally OWL 2, is an ontology language for the Semantic Web with formally defined meaning.
OWL 2 ontologies provide classes, properties, individuals, and data values and are stored as Semantic Web documents. UNIT 8 RATIONAL NUMBERS (A) Main Concepts and Results • A number that can be expressed in the form p q, where p and q are integers and q ≠ 0, is called a rational number.
• All integers and fractions are rational numbers. kcc1 Count to by ones and by tens.
kcc2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1). kcc3 Write numbers from 0 to Represent a number of objects with a written numeral (with 0 representing a count of no objects). kcc4a When counting objects, say the number names in the standard order, pairing each object with one and only.
OFFSET: 0. COMMENT: A variant of Stern's diatomic series [A]. See the article of P. Luschny and the Maple function below for the classification by types which is based on a .