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where tr denotes the trace function.
The trace function has the following properties.
where tr corresponds to the trace function.
This check is performed using the Trace function (line 5).
where π m - 1 is the inverse trace function of π m.
Node is to be tracked if and only if the result of the Trace function is one.
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g j are trace functions defined on R n − 1.
The control law is designed using the notion of potential energy shaping that rests on the use of modified trace functions.
In subsections 2.1 and 2.2, we briefly introduce the concepts of finite fields, trace functions and cyclotomic cosets for signal processing researchers.
Another result of interest is that, in 2014, Hansen [3], among other things, gave new and simplified proofs of the Carlen-Lieb theorem concerning concavity of certain trace functions by applying the theory of operator monotone functions.
In this paper we show existence of traces of functions of bounded variation on the boundary of a certain class of domains in metric measure spaces equipped with a doubling measure supporting a 1-Poincaré inequality, and obtain L1 estimates of the trace functions.
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