Sentence examples for Under relation from inspiring English sources

The notation (sum _{i in I}(prod _{m in A_{i}}m)=sum _{j in J}(prod _{m in B_{j}}m)) means that (sum _{i in I}(prod _{m in A_{i}}m)) and (sum _{j in J}(prod _{m in B_{j}}m)) are equivalent under relation R. Thus, the semantics they represent are equivalent.

The Colombian president had "put a bomb under" relations between the two countries, said Diosdado Cabello, the speaker of Venezuela's National Assembly.

Under this relation the space of possible mathematical systems forms an intricate hierarchy of increasingly strong systems.

One very general way to investigate the space of possible mathematical systems is under the relation of interpretability.

The interpretability hierarchy is the collection of all theories (satisfying our three simplifying assumptions) ordered under the relation ≤.

If she does so, then she indirectly ascribes the property of being hungry to Bill, under the relation of being a man uniquely seen.

The seismic moment M 0 (Nm) is calculated from the moment magnitude M w under the relation derived by Hanks and Kanamori (1979): log {M}_0=1.5{M}_W+9.1 (1).

Note that in the previous theorem (the parts (ii), (iii), (iv)) it is proved that the logical entropy and conditional logical entropy are invariant under the relation ≈.

Seymour became a captain's servant on the yacht William & Mary, and two years later moved to HMS Pearl under his relation Captain John Leveson-Gower, stationed off Newfoundland.

In other words, [ j] is the equivalence class of vertex j under the relation of strong connectivity, as defined above.

In doing so, all the initial components are connected in a global network that can be navigated under the relation "one link one change".