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While realizability conditions are well known, least order solutions, which require as few integrators as possible, pose a difficult problem.
Because the properties of the beam have to be well known in order to compare the results of the experiment and the simulation on an absolute basis, the benchmark experiment was performed using the research electron accelerator of the Physikalisch-Technische Bundesanstalt (PTB), whose beam was accurately characterized in advance.
In this work, these two techniques are presented, and comparison are carried out using the well known First Order Reliability Method (FORM), Direct Monte Carlo Simulation and Monte Carlo Simulation with Adaptive Importance Sampling technique with approximated and exact limit state functions.
Vitreous physical characteristics need to be well known in order to recognize its active role in ocular physiology, as shown in Table 2 [ 6].
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For example if both and are zero mean Gaussian distributed, with variances and then the MAP filter becomes the very well known zero-order Wiener filter [10].
Most recently, Alam and Imdad [23, 24] established a new relation-theoretic version of the Banach contraction principle employing general binary relation which in turn generalizes several well known relevant order-theoretic fixed point theorems.
It is well known that fractional order models are more realistic and practical than the classical integer order models (see, e.g., [1 7]).
It is well known that partial order plays an important role in vector optimization theory.
