Their topics include elementary convex analysis, quantum mechanics, for mathematicians, metric entropy and concentration of measure in classical spaces, Gaussian processes and random matrices, the geometry of the set of mixed states
, and Bell inequalities and the Grothendieck-Tsirelson inequality.
2) Patients often present with mixed states
, such as manic or hypomanic states with mixed depressive features or a major depressive episode combined with subsyndromal hypomania or mania.
Usually one regards mixed states
as representing one's state of knowledge of, in this example, the quantum coin.
This return to thinking of mood disorders as existing on a continuum, as psychiatrist Emil Kraepelin, MD, theorized around the turn of the last century, pivots on the decision to do away with mixed states
and to instead add the mixed features specifier.
They began after World War I, when the former Ottoman Empire was carved into ethnically and religiously mixed states
We consider a provision to be associated with less identity theft if it is common in the Better states, uncommon in the Worse states, and neither common nor uncommon in Mixed states
As Bosnia, Syria and Iraq have shown, divorces in mixed states
invariably lead to great violence as every community tries to carve out a "pure" territory for itself.
In some patients, treatment with antidepressant medication precipitates the emergence of mixed states
A BD diagnosis is highly predicted by mixed states
, especially BD II, which has been linked with an increased lifetime risk for comorbid psychiatric disorders, more mood episodes, higher rates of treatment contacts, and lower rates of full-time employment compared to pure states.
The mathematical definition of entanglement varies depending on whether we consider only pure states or a general set of mixed states
It is true that Saudi Arabia and Iran today represent the two powers of Sunnis and Shiites in the world, but their mixed states
are together facing serious sectarian challenges that prevent them from proceeding in that dangerous adventure to the end," Noureddin said in his column on March 18.
AKN98] on quantum circuits with mixed states
, Ambainis and Watrous [AW02] introduced an alternative model, the two-way finite automaton with quantum and classical states (2QCFA), which includes a constant-size quantum part which may be in a mixed state
, but requires the tape head position to be classical.