Sentence examples for characterizing up to from inspiring English sources

This is done by global methods: since the associated Euler functional might be unbounded from below, we define a new model space, generalizing the so-called space of formal barycenters and characterizing (up to homotopy equivalence) its low sublevels.

Each material of the PM microgenerator is magnetically or electrically characterized up to 375 °C.

As such, it can be fully characterized (up to a constant scale factor) by its zeros in the plane.

We prove that these two functions characterize, up to the automorphism exchanging the two letters, the language of factors of each single infinite Sturmian word.

At the present time the linac has been tested and the electron beam characterized up to the maximum operating energy (150 MeV).

Finally, the thermal diffusivity of coatings was characterized up to 523 K with the use of laser flash method and thermal conductivities of coatings were determined.

Finally, post-necking hardening behavior was successfully characterized up to the initial stage of localized necking using the VFM with Swift and modified Voce laws.

We show that every unitary representation π of a connected Lie group G is characterized up to quasi-equivalence by its complete moment set.

The sensor array is also characterized up to 1.4 MPa and the sensitivities of 13.7 fF/kPa and 13.4 fF/kPa is observed at temperatures of 20 ℃ and 180 ℃, respectively.

This system can monitor and characterize up to three TEGs simultaneously and it is comprised by two main electronic circuits: The first one is composed by twelve input channels being three for reading voltage, three for reading current by making use of instrumentation amplifiers (reference ACS712) and six thermocouples for signal reading (<400 °C).

Second, objects are always characterized up to isomorphism (in the best cases, up to a unique isomorphism).