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Figure 1.4: Illustration of an artificial neural network Evolutionary programming which is derived from the simulation of adaptive behavior in evolution (phenotypic evolution). Evolution strategies which are geared toward modeling the strategic parameters that control variation in evolution, i.e. the evolution of evolution. Differential evolution, which is similar to genetic algorithms, differing in the reproduction mechanism used. Cultural evolution which models the evolution of culture of a population and how the culture influences the genetic and phenotypic evolution of individuals. Co-evolution where initially "dumb" individuals evolve through cooperation, or in competition with one another, acquiring the necessary characteristics to survive. Other aspects of natural evolution have also been modeled. For example, the extinction of dinosaurs, and distributed (island) genetic algorithms, where different populations are maintained with genetic evolution taking place in each population. In addition, aspects such as migration among populations are modeled. The modeling of parasitic behavior has also contributed to improved evolutionary techniques.

0. if a > 0 and b > c> 0 then a+b > a+c > 0 1. if a > b > 0 then ya > Vb > 0 2. 224 > 9 > 0 3. ^/224 > x/9 > 0 (1 and 2) 4. 4714 > 3 > 0 (3 and arithmetic) (0 and 4) 5. 57 + 4x/l4 > 57+3 > 0 6. V57 + 4V14 > V57+3 > 0 (1 and 5) 7. 1 + 2/14 > 2vT5 > 0 (6 and arithmetic) 8. 8 + l + 2vT4 > 8 + 2/15 > 0 (0 and 7) (1 and 8) 9. V8 + 1 + 2/14 > V8 + 2/T5 > 0 (9 and arithmetic) 10. y2 + 7 7 > V 3 + 7 5 > 0

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The conduction band shift depends significantly on the material deformation potential constants and the lattice mismatch, and can be up to a few hundreds of meV as shown in Fig. 7.5. It is interesting to see that although the wurtzite AlGaN layer grown on GaN is highly strained in the growth plane, because of the anisotropy of the hexagonal crystals the overall shift is smaller.

0 ^ PmodQ < Q A P = QxO + PmodQ {

Figure 7.6 Schematic diagram of the conduction band edge of a quantum well with a strain induced energy band shift (SEC). The original conduction band discontinuity is Ec. The lower diagram shows the corresponding in-plane strain distribution across the quantum well.

In this case parasites infect individuals. Those individuals that are too weak die. On the other hand, immunology has been used to study the evolution of viruses and how antibodies should evolve to kill virus infections. Evolutionary computing has been used successfully in real-world applications, for example, data mining, combinatorial optimization, fault diagnosis, classification, clustering, scheduling and time series approximation.

Consider now the influence of the conduction band edge shift on the electronic levels in a single quantum well. For simplicity it is assumed that the well material is strained while the barriers are matched to the substrate (Fig. 7.6). The conduction band edge shift implies the equivalent change in the barrier height, defining the new quantum well potential as:

predicate calculus and arithmetic }

which results in a shift of the discrete energy levels localised within the quantum well. In order to illustrate the importance of strain in quantum wells Fig. 7.7 gives the energy of the ground state (with respect to the quantum well band edge) with and without the strain perturbation, as a function of the alloy composition (x) in the

(15.7) }

LEARNING)

InP/InxAsi_xP quantum well strained on an InP substrate. The calculation shows an average energy shift of around 10%, which can significantly influence the designs and applications. In addition strain will influence the energy difference between subbands so introducing a shift in intersubband transition energies. This implies that strain 'engineering' could be used to reach desired emission and detection wavelengths otherwise unattainable (see for example Faist et al. [155]).

0 = P - Q = O ^ P m o d Q < Q A P = PmodQ 0 = P - f Q = P = PmodQ . Summarizing, 0 = P-^Q = P = PmodQ . Now, we consider the case that P satisfies 0 < P < Q. We have CKP < Q = { {

Figure 7.7 Energy of the ground state (with respect to the conduction band edge in the well) in the InP/In x Asi_ x P system with and without strain, as a function of the alloy composition (x). The well width is set to 50 A and the barrier width to 60 A.

(15.9)

note that at least 30 independent simulations are needed. This allows the normality assumption as stated by the Central Limit Theorem: the probability distribution governing the variable ~Q approaches a Normal distribution as the number of observations (simulations) tends to infinity. Using this result, the confidence interval associated with confidence level a is estimated as i Q ) n _ia p (7.8)

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