Sentence examples for provide characterizations for from inspiring English sources
One of our main aims in the present paper is to use these constraint qualifications (or their variations) involving subdifferentials, which have been studied and extensively used, see, for example, [2, 3, 6, 12, 26], to provide characterizations for the total Lagrangian duality.
To complete the model, which is two-dimensional, we also provide simple characterizations for the lengths of short and long packets.
In Section 3, we provide some characterizations for the weak Lagrange dualities and the total Lagrangian dualities to hold.
To our knowledge, not many results are known to provide complete characterizations for the total Lagrangian duality for the DC optimization problem (1.3).
The phylogenetic characterization of transcriptome sequence information (see previous section) was leveraged to provide taxonomic characterizations for all probes on the microarray.
Thus, the definition of a WSM signal has been extended to deal with improper signals providing new characterizations for WLM signals based either on second-order properties or on state-space representations.
We provide a characterization for maximal monotone realizations for a certain class of (nonlinear) operators in terms of their corresponding boundary data spaces.
The disturbed state concept (DSC) is considered to be a unified approach and is able to provide material characterization for almost all of the above factors.
We provide a characterization for a bicameral meet as a weighted game or a complete game, and show that the MSR index is immune to the bicameral meet paradox.
We also provide a characterization for the existence of a left invariant mean on the space of weakly almost periodic functions on separable semitopological semigroups in terms of fixed point property for non-expansive mappings related to another open problem raised by the first author in 1976.
Because the same laboratory has previously provided similar characterization for flagellum and primary cilium, they are uniquely positioned to provide a comparison between these three ciliary structures.
