For strict total orders these two associated reflexive relations are the same : the corresponding ( non-strict ) total order.
2.
If we also define that every thermodynamic system is in thermal equilibrium with itself, then thermal equilibrium is also a reflexive relation.
3.
An example of a reflexive relation is the relation " is equal to " on the set of real numbers, since every real number is equal to itself.
4.
Another set of suffixes is used to simultaneously indicate the subject and object / instrument, as shown in the following tables . ( Note that when the reflexive relation .)
5.
In mathematics, an "'equivalence relation "'is a binary relation that is at the same time a reflexive relation, a symmetric relation and a transitive relation.
6.
Taken two per time, these can configure 12 different transitive and non-reflexive relations each, resulting in a total of 12 power 12 ( 874.296.672.256 ) possible relations.
7.
These are propositions 1, 2, 8, 28, 31, 41, 52, 54, and 58 in the " Begriffschrifft " . ( 1 ) ( 3 ) govern indiscernibility of identicals, and ( 8 ) asserts that identity is a reflexive relation.
8.
The Territorialist approach intends to combine these three objectives, according priority to " place-consciousness ", i . e . a reflexive relation with local identity and heritage ( with reference to the themes of bio-regionalism dealt with by Patrick Geddes ), viewed as the strategic keys for a sustainable future.
9.
"Reflexive relations : where a relation holds between any object and itself, or where all the members of a set or sub-set share the same stated relation { ( a, a ), ( b, b ), ( c, c ) }, for example the inherent relation is identical with .
10.
A Buekenhout geometry consists of a set " X " whose elements are called " varieties ", with a symmetric reflexive relation on " X " called " incidence ", together with a function ? called the " type map " from " X " to a set ? whose elements are called " types " and whose size is called the " rank ".
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