Примеры использования Equivalence class на Английском языке и их переводы на Русский язык
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An equivalence class may not be used as an endpoint of a range.
Real numbers are defined as the equivalence classes of this relation.
The equivalence classes are called the leaves of the foliation.
In particular→ is a partial order on equivalence classes of directed graphs.
Let the equivalence class of a graph G under homomorphic equivalence be.
These scenarios consist of several types of test cases which are based on the equivalence classes methodology.
Its equivalence classes are called homeomorphism classes. .
In this case, it forms an equivalence relation and each equivalence class separates two connected subgraphs of the graph from each other.
Valid equivalence classes representing valid input data of the program;
If the input condition describes a range of values,then you can identify one valid equivalence class(1≤ integer value≤ 99) and two invalid ones integer value.
An equivalence class of graphs under switching is called a switching class. .
One naturally obtains from this definition canonical functions ϕ i: A i→ lim→ A i{\displaystyle\phi_{i}\colon A_{i}\rightarrow\varinjlim A_{i}}sending each element to its equivalence class.
The division into equivalence classes is performed after the analysis of the real data used by real surveillance systems.
An ordinal is intended to be defined as an isomorphism class of well-ordered sets:that is, as an equivalence class for the equivalence relation of"being order-isomorphic.
The equivalence class of a path f under this relation is called the homotopy class of f, often denoted.
A comparison y≤ c between a form y anda surreal number c is performed by choosing a form z from the equivalence class c and evaluating y≤ z; and likewise for c≤ x and for comparison b≤ c between two surreal numbers.
The equivalence class containing{ 0|} is labeled 1 and the equivalence class containing{| 0} is labeled -1.
There is a technical difficulty involved, however,in the fact that the equivalence class is too large to be a set in the usual Zermelo-Fraenkel(ZF) formalization of set theory.
The equivalence classes of the P{\displaystyle P}-indiscernibility relation are denoted P{\displaystyle_{P.
If the input condition describes the situation"should be",in this case one valid equivalence class(the first symbol is a letter) and one invalid class are defined the first symbol is not a letter.
The equivalence class of a number depends only on the maximal element of its left set and the minimal element of the right set.
Therefore, it is possible to perform a bottom-up computationon this tree decomposition, computing an identifier for the equivalence class of the subtree rooted at each bag by combining the edges represented within the bag with the two identifiers for the equivalence classes of its two children.
Equivalence classes are identified by selecting each input condition and by dividing it into two or more groups.
The numeric forms are placed in equivalence classes; each such equivalence class is a surreal number.
If x represents a number from any generation earlier than n, there is a least such generation i, and exactly one number c with this least i as its birthday lies between L and R. x is a form of this c, i. e.,it lies in the equivalence class in Sn that is a superset of the representation of c in generation i.
Thus, every equivalence class of rays defines a unique haven, and every haven is defined by an equivalence class of rays.
A character with the smallest modulus in an equivalence class is primitive and this smallest modulus is the conductor of the characters in the class. .
The poset of equivalence classes of graphs under homomorphisms is a distributive lattice, with the join of anddefined as(the equivalence class of) the disjoint union, and the meet of and defined as the tensor product the choice of graphs G and H representing the equivalence classes and does not matter.
The separation properties of X need not be inherited by X/~, andX/~ may have separation properties not shared by X. X/~ is a T1 space if and only if every equivalence class of~ is closed in X. If the quotient map is open, then X/~ is a Hausdorff space if and only if~ is a closed subset of the product space X×X. Connectedness If a space is connected or path connected, then so are all its quotient spaces.
So the elements break up into equivalence classes, such that each equivalence class is the set of non-identity elements of a maximal abelian subgroup.