The result of this query shows you the object representation of a hypercube.View the vertices as elements of $\mathbb\right)$ are eigenvectors for $\theta_i+1$ and $\theta_i-1. Finally, in Section 5, we describe how this algorithm can be used to obtain efficient hypercube algorithms for the other geometric problems listed above.
It is called dimensionless, because in the XBRL universe, the four basic aspects are not considered XBRL dimensions.Įxample - The dimensionless hypercube import module namespace hypercubes = There is an elegant recursive definition of hypercube. It does not restrict the value of any of these aspects. The hypercube topology has multiple paths between nodes and a low overall diameter of n for a. The simplest hypercube you can imagine is made of four "standard" aspects: concept, entity, period and unit. Note: From a practical perspective, it is disputed whether units are considered aspects, or whether they "stick" to the value. The definition of an n-sphere is: A set of all points at a distance R, from a centre c, in an n-dimensional Euclidian Space. This hypercube potentially contains 2 x 2 x 3 = 12 facts. If there is more, it often indicates an inconsistency in the submission.įor example, if we stick to the USD unit, you can imagine a cube whose width represents concepts (Assets, Revenues), the height of which represents entities (Amex, Disney) and the depth of which represents periods (year 2012, year 2013, year 2014). They are bipartite, and the Qn graph is n-regular, meaning all of its vertices. Usually, there will be either zero or one fact for each possible tuple of aspects. We'll define hypercube graphs/k-cube graphs in today'. Meaning, pronunciation, translations and. It is possible to organize facts along hypercubes, the dimensions of which are these aspects. hypercubes synonyms, hypercubes pronunciation, hypercubes translation, English dictionary definition of hypercubes. Hypercube definition: a figure in a space of four or more dimensions having all its sides equal and all its. In geometry, a hypercube is an n-dimensional analogue of a square and a cube. HypercubesĬoncepts, entities, periods, units, as well as further dimensions are called aspects. We now go more into detais on this, and eventually show how you can build your own hypercubes and query for fact tables, outside of any SEC network. The facts in an SEC network are actually organized in a hypercubic structure. You may have seen at several place occurrences of the word "Hypercube". As used here isomorphic means that each hypercube has ONE meaning.
Define hypercube how to#
In the former section, we showed how to get the fact table associated with an SEC network. In geometry, a hypercube is an n -dimensional analogue of a square ( n 2) and a cube ( n 3 ). A hypercube is a k dimensional cube where each node has k bit address and is connected to k other nodes. Isomorphic Hypercubes Isomorphic comes from the greek term iso meaning one.
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