Sentence examples for essential use of the from inspiring English sources

The known proofs on the symmetric Fock space make essential use of the Nevanlinna Pick properties.

The construction makes essential use of the representation of CFT tensor operators as polynomials in an auxiliary polarization tensor.

To overcome this difficulty, we make essential use of the concept of two-scale Young measures for algebras with mean value, associated with bounded sequences in L2.

The analysis makes essential use of the EXIT charts [9, 10], which are obtained through a repeated application of density evolution at different decoding stages.

As the (sparse) mixing operation of network coding finds natural connection to low-density parity-check (LDPC) codes, both make essential use of the LDPC coding structure.

Dirac's attempt to prove the equivalence of matrix mechanics and wave mechanics made essential use of the delta function, as indicated above.

This manuscript focuses on the essential use of uncertainty analysis for the determination and experimental verification of the dynamic primary drying Design Space for pharmaceutical freeze-drying.

Mr. Garfield also describes the essential use of dyes in molecular biology and the pioneering stages of chemotherapy, and explains the precise nature of the colors used on a computer screen.

They are distinguished from the other subsystems of NF known to be consistent by the circumstance that they allow a proof of the axiom of infinity which makes essential use of Specker's proof of the axiom of infinity.

While most people think of light as the most essential use of technology, Off Grid found the number one reason their customers sign up is because they want to charge their phones.

As such, the development of in vitro methods complement and may eventually reduce the essential use of in vivo studies, which directly supports the principles of Green Toxicology.