
RWA Problem formulations
... Set of connection requests that need to be established on the network. Network topology: number of Nodes, Links Matrix An optional constraint on the number of wavelengths. We are required to determine the different light paths to be established, the routes over which they are set up and also d ...
... Set of connection requests that need to be established on the network. Network topology: number of Nodes, Links Matrix An optional constraint on the number of wavelengths. We are required to determine the different light paths to be established, the routes over which they are set up and also d ...
One-Class Matrix Completion with Low-Density
... datasets, since the knowledge required for labeling examples as negative is typically not available explicitly and difficult to collect. In such cases, the observed events are reliable indicators of what the user liked. However, there is no explicit information about what the user did not like, beca ...
... datasets, since the knowledge required for labeling examples as negative is typically not available explicitly and difficult to collect. In such cases, the observed events are reliable indicators of what the user liked. However, there is no explicit information about what the user did not like, beca ...
Backward-wave regime and negative refraction in chiral composites
... materials, because the negative refraction effect offers a possibility to create super-resolution imaging devices (among other potential applications). The known realizations are based on the use of metal inclusions of various shapes, especially split rings, needed to realize negative permeability. ...
... materials, because the negative refraction effect offers a possibility to create super-resolution imaging devices (among other potential applications). The known realizations are based on the use of metal inclusions of various shapes, especially split rings, needed to realize negative permeability. ...
Preliminary review / Publisher`s description: This self
... problems. Typically, Step 3 provides a list of candidates and Step 1 allows the identification of optimal solutions among them, if the given problem is solvable. The second order conditions in Chapter 5 give some insight although they do not play a crucial role in this approach because they can seld ...
... problems. Typically, Step 3 provides a list of candidates and Step 1 allows the identification of optimal solutions among them, if the given problem is solvable. The second order conditions in Chapter 5 give some insight although they do not play a crucial role in this approach because they can seld ...
The Lagrangian Method
... If we have a multidimensional setup where the Lagrangian is a function of the variables x1 (t), x2 (t), . . ., then the above principle of stationary action is still all we need. With more than one variable, we can now vary the path by varying each coordinate (or combinations thereof). The variation ...
... If we have a multidimensional setup where the Lagrangian is a function of the variables x1 (t), x2 (t), . . ., then the above principle of stationary action is still all we need. With more than one variable, we can now vary the path by varying each coordinate (or combinations thereof). The variation ...
Problem 1. If we increase the length of each edge of a cube by 100
... Solution outline. It suffices to go through 16 ways to vary the left-hand side and see if the right-hand side can be changed accordingly. The process can be speeded up by various observations (for instance the result has to start with 2, hence the first number is 4 and the second one starts with 5). ...
... Solution outline. It suffices to go through 16 ways to vary the left-hand side and see if the right-hand side can be changed accordingly. The process can be speeded up by various observations (for instance the result has to start with 2, hence the first number is 4 and the second one starts with 5). ...
Multiple orthogonal polynomials in random matrix theory
... The MOPs are described by a Riemann-Hilbert problem that may be used for asymptotic analysis as n → ∞ by extending the Deift-Zhou method of steepest descent [25]. The extensions are non-trivial and involve either an a priori knowledge of an underlying Riemann surface (the spectral curve) or the form ...
... The MOPs are described by a Riemann-Hilbert problem that may be used for asymptotic analysis as n → ∞ by extending the Deift-Zhou method of steepest descent [25]. The extensions are non-trivial and involve either an a priori knowledge of an underlying Riemann surface (the spectral curve) or the form ...