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Whereas the trace is a scalar-valued function on operators, the partial trace is an operator-valued function. The partial trace has applications in quantum information and decoherence which is relevant for quantum measurement and thereby to the decoherent approaches to interpretations of quantum mechanics , including consistent histories and ...
The trace of a Hermitian matrix is real, because the elements on the diagonal are real. The trace of a permutation matrix is the number of fixed points of the corresponding permutation, because the diagonal term a ii is 1 if the i th point is fixed and 0 otherwise. The trace of a projection matrix is the dimension of the target space.
In mathematics, specifically functional analysis, a trace-class operator is a linear operator for which a trace may be defined, such that the trace is a finite number independent of the choice of basis used to compute the trace. This trace of trace-class operators generalizes the trace of matrices studied in linear algebra.
An oscilloscope trace of a tri-level sync pulse. Tri-level sync is an analogue video synchronization pulse primarily used for the locking of high-definition video signals . It is preferred in HD environments over black and burst, as timing jitter is reduced due to the nature of its higher frequency. It also benefits from having no DC content ...
If the transmission is temporarily interrupted, or a bit slip event occurs, the receiver must re-synchronize. Frame synchronized PCM stream — telemetry application. The transmitter and the receiver must agree ahead of time on which frame synchronization scheme they will use. Common frame synchronization schemes are: Framing bit
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In concurrent programming, a monitor is a synchronization construct that prevents threads from concurrently accessing a shared object's state and allows them to wait for the state to change.
New York City had recorded only trace amounts of snow late Saturday, but the weather service office there said powder was hitting the ground at a rate of 1.5 inches an hour in nearby Harrison, New ...