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The bifurcation behavior of the response is investigated by varying both the amplitude and the frequency of the forcing.
An analytical expression for the modal effective nonlinearity is obtained and used to analyze the influence of the beam's tapering on the nonlinear primary resonance behavior of the response (softening/hardening).
We also discuss results that are reminiscent of phase transitions in spin systems, where the divergent behavior of the response function at the critical point (zero magnetic field) leads to large fluctuations, and we discuss a curious "symmetry breaking", a feature qualitatively identical to the behavior of the probability density of the magnetization for fixed values of the inverse temperature.
Moreover, the value of the coefficient d 5 indicates that precursor molarity affected the behavior of the response in a quadratic manner.
The regression polynomial equation (Eq. 7) was used to evaluate the behavior of the response surface for the response function Y 1, and the predicted response respectively.
The values of the coefficients a 4 and d 4 suggest that the precursor flow rate and molarity affected the behavior of the response in a quadratic manner.
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The parameters of the quadratic model for each response variable were estimated by multiple linear regression (MLR), and statistical analysis of the results led to the elucidation of mathematical models capable of predicting the behavior of the responses as a function of the main variables involved in the process.
Finer hexagonal meshing around and on the surfaces of the building is obtained by providing inflation, which leads to simulate uniform flow and measure the actual behavior of the responses accurately.
If we take the mathematics of the theory in its most straightforward sense, the situation is even more surprising than the apparent backward-in-time behavior of the responses.
The behavior of artificial glomeruli signals are illustrated in Fig. 6, where the time behavior of the responses at the glomeruli level (sum of the input signals) are shown.
The responses of these combinations can be graphically represented and a quadratic or cubic model can describe the behavior of the responses.
More suggestions(15)
behaviours of the response
behavior of the responses
behavior of the region
behavior of the government
behavior of the error
behavior of the behavior
behavior of the trend
behavior of the duopoly
behavior of the inequality
behavior of the entity
behavior of the bill
behavior of the material
behavior of the balance
behavior of the plug-in
behavior of the reflection
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