Sentence examples for reduction and duality from inspiring English sources

We give, in addition, associated reduction and duality formulas.

Theorem 5.3 We have the reduction and duality relations for the generalized Bose-Einstein functions (55).

Theorem 5.2 We have the reduction and duality relations for the generalized Fermi-Dirac functions (49).

Therefore, from Theorem 2.4 and Theorem 2.5, the following reduction and duality formulas hold.

Hence, from Theorem 2.4 and Theorem 4.1, we deduce the following reduction and duality formulas.

Then, for any complex s with ℜ ( s ) > N, we have the reduction and duality formulas (14) (14).

We discuss both the analysis at finite radius, crucial for preserving the duality in the dimensional reduction, and the zero-size limit that must be supported by a real mass flow and a Higgsing, which can differ case by case.

As an application, we discuss the Bergman projection and duality.

In the imperative mood, plurality and duality are not expressed.

There is good reduction and bad reduction.

The last part of our discussion is devoted to the 4D/3D reduction of the dualities studied above.