Sentence examples for problem can be given from inspiring English sources
The intuition of the problem can be given with the following simple example.
Then, the minimizer of the BP problem can be given as h ⋆=h+e.
Considering the network elements, an abstract formulation of the studied resource allocation problem can be given as follows: Fig. 2 Heterogeneous network scenario.
With the fixed FIR filter f ¯, the transmit waveform x optimization problem can be given by argmin x max i ≠ j μ i, j (15).
Dalla Chiara shows that the duality in the description of state evolution, encoded in the ordinary (i.e. von Neumann's) approach to the measurement problem, can be given a purely logical interpretation: "If the apparatus observer O is an object of the theory, then O cannot realize the reduction of the wave function.
If we again view x i and d i as eigenvalues of positive definite matrices, an equivalent formulation of the problem can be given in terms of their Frobenius matrix norms: Theorem 7 For n ∈ { 2, 3 }, let P 1, P 2 ∈ R n × n be positive definite real matrices.
Let, which denotes the node set associated with coupled variables of of sensing node, then the decoupled primal problem (DPP) can be given by (2).
Consequently, the optimum solution of problem (13) can be given by widehat{mathbf{v}}=mathrm{E}mathrm{i}mathrm{g}left[{mathbf{M}}_2^{-1}{mathbf{M}}_18ight] (18).
For an AF protocol-based TWR network, the optimal solution to the per-subcarrier optimization problem (9) can be given by e_{A}^{mathrm{P}} left k right) = frac{{zleft k right)left[ {left| {h_{AR} left k right)} right| + left| {h_{BR} left k right)} right|} right]}}{{left| {h_{AR} left k right)} right|^{2} left| {h_{BR} left k right)} right|}}, (10).
Theorem 2. The problem represented by (16) is a convex optimization problem, whose solution can be given by (18).
The non-linear optimization problem for FCM can be given as begin{aligned} {left{ begin{array}{ll} mathrm{Min} A_{m}(mathbf {U},mathbf {V};mathbf {X}=sum nolimits _{j=1}^{p}sum _{i=1}^{m}du_{ij})^{2}d^{2}(x_{j},v_{i})) text {such that} sum nolimits _{i=1}^{c}u_{ij}=1, 1 le jle p 0 le u_{ij} le 1, 1 le jle p, 1 le ile c 0 le sum nolimits _{j=1}^{c}u_{ij}<p, forall i end{array}right.
