Matrix trace inequalities related to uncertainty principle. Hideki Kosaki. International Journal of Mathematics and Mathematical Sciences . 2005H. Kosaki. Matrix trace inequalities related to uncertainty principle. Int. J. Math., 16(06):629- 645, 2005....
The trace map on the ring of square matrices with entries in a field can be used to define various quadratic forms on this ring. This paper makes a study of some of these forms and in particular the "scaled trace forms" are shown to have a symmetric matrix representation involving both ...
We define a zeta function with respect to the Grover matrix of a graph, and differentiate the logarithm of its zeta function of a regular graph. Furthermore, we obtain a trace formula with respect to the Grover matrix by a suitable complex integral of its logarithm differential....
A density matrix is basis-dependent, but the trace of it is invariant with respect to a transformation of basis. The density matrix of a state is not unique. Different superpositions may have the same density matrix: (3.12)|ψ1〉=12|0〉+12(12(|0〉−|1〉)), (3.13)|ψ2〉=134(32...
However, for hypothesis for the covariance matrix, the entire covariance matrix or an appropriate functional (not necessarily the trace) needs to be estimated consistently. 3.1 Estimation To obtain consistent estimators for Σ, two methods for reducing the parameter space dimension are used—structural...
The type of lag that is subdivided frome theEDumpType_MainThreadBlockandEDumpType_BackgroundMainThreadBlock, with more than64threads when the lag monitor detected the lag. EDumpType_BlockAndBeKilled 2010 When the application restarts, it is detected that the last application shutdown is because the...
For problems with DmdDevice.dll, specially with coloring, set the log level to Trace and reproduce the problem. You can do that by editing DmdDevice.log.config and changing: <logger name="*" minlevel="Info" writeTo="file" /> to <logger name="*" minlevel="Trace" writeTo="file" /...
depending on whether we want to trace the path to the left or right of the interval \(\left[ \, \underline{\gamma },\overline{\gamma } \, \right] \) , we determine the maximum/minimum ratio in the two end points of this interval, respectively, and update the index tuple \(\left...
with another sparse matrix S (equivalent to S.tocsr()) csr_matrix((M, N), [dtype]) to construct an empty matrix with shape (M, N) dtype is optional, defaulting to dtype=’d’. csr_matrix((data, (row_ind, col_ind)), [shape=(M, N)]) ...
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