Introduction to Exponent Values

What is/are Exponent Values?

Exponent Values - The stress–strain curves of welded specimen at different strain rates were analyzed in terms of Hollomon, Ludwik and Swift equations to determine work hardening exponent values. ^[1] We used k-means as clustering algorithm for the 3003 Hurst exponent values of these series, improving the visualization of all of the data to identify a relationship between Hurst exponent with MAPE and sMAPE forecasting error of the Simple Exponential Smoothing and ARIMA. ^[2] Each class was a set of time series with the Hurst exponent values in a predetermined range. ^[3] The obtained path loss exponent values were found between 1. ^[4] Exponent values of 0. ^[5] In consequence, the power-law exponent values become greater than 1 and exhibit super-linear and/or NCL (nearly constant loss) nature. ^[6] Based on exponent values, ionic conductivity exists in the glass sample. ^[7] Stress exponent values were determined through a constant loading process utilizing a spherical micro indentation method, where the strain rate is extracted from the indentation rate. ^[8] Basing on the modified Arrott and Kouvel-Fisher techniques, scaling hypothesis, and critical isotherm analysis, we have determined the critical exponent values characteristic of magnetic order of La1−xSrxCoO3, with β = 0. ^[9] By analyzing the field dependence of the magnetic entropy change data as well as the relative cooling power, it was possible to evaluate the critical exponent values which were found not only agree with those deduced from (MAP), (KF) and (CIA) methods, but they also obey the scaling theory. ^[10] The stress exponent values were found to be varied from 3. ^[11] Furthermore, two Hurst exponent values were obtained for each recording, by subjecting them to time intervals of 1 and 2 milliseconds respectively. ^[12] The paper is closed with the conclusion of a wide crossover effect that covers the whole line between tricritical points, where earlier papers indicate the possibility of non-universal behavior with the critical exponent values varying continuously. ^[13] 125, and the linear fitting exponent values obtained in this work were nearly same with the previous data in similar systems. ^[14] The stress exponent values of the as-cast alloy were smaller than those of the extruded alloy. ^[15] Hurst exponent values of IZO films indicate that although IZO/Si films have highest vertical roughness, it has strongly correlated (highest self-similarity) surface morphology than other two films deposited on glass and ITO substrates. ^[16] First, we provide a reconciliation of the numerically different power-law exponent values for fatality distributions across entire wars and within single wars. ^[17] Also, the observed localization performance is consistent across different pathloss exponent values. ^[18] In addition, the Hurst exponent values were in a non-proportional function to (q), which is a weight value indicating the multifractal behavior of the dynamics of the earthquakes analyzed in this work. ^[19] The stress exponent values were found to be 19. ^[20] These exponent values convey that the growth dynamics of PLD Cu films can be best described by a combination of local and non-local models under a shadowing mechanism and under highly sticking substrate conditions. ^[21] Finally, the invariant value of maximal coupling efficiency across mammal species could partly explain why scaling exponent values are very close to 1 at maximal metabolic rates. ^[22] The exponent values (b slope) of length-weight relationship of big eye scad was 3,185 indicating isometric growth pattern. ^[23] The deduced critical exponent values for the nanocrystalline La0. ^[24] The power law exponent values obtained from dynamic swelling in aqueous Na2SO4 solution indicated that the sorption mechanism of both the nanocomposite NC/BENTm-Hgel and NC/BENTm-Cgel samples was Fickian controlled. ^[25] The analysis of creep curves by Norton's law indicated n exponent values between 8. ^[26] We perform a systematic study of the maximum Lyapunov exponent values λ for the motion of classical closed strings in Anti-de Sitter black hole geometries with spherical, planar and hyperbolic horizons. ^[27] In particular, these exponent values are calculated for the Clarke-Vvdensky and Das Sarma-Tamborenea models characterized by very strong corrections to the scaling, for which large deviations of these values had been reported. ^[28] The exponent values so obtained significantly differ from the ones obtained on the basis of an analysis of the static phase-space distribution, with no reference to dynamics. ^[29] However, the estimated critical exponent values β  = 0. ^[30] These results shed some light on the Euclidean first-passage process but also raise some theoretical questions about the scaling laws and the derivation of the exponent values and also whether a model can be constructed with maximal wandering, or non-Gaussian travel fluctuations, while embedded in space. ^[31] Obtaining appropriate, applicable exponent values of distance and elevation in the modified inverse distance method for hourly rainfall interpolation is difficult because the range of the e. ^[32] In the case of 3D SC, the exponent values obtained from the two independent measurements show excellent match. ^[33] We use a Fisher matrix analysis to show that, in fact, this range in exponent values is exactly as expected in $\Lambda CDM$ given the multipole coverage and power spectrum uncertainties for each experiment. ^[34] Indeed, comparing our determined exponent values with those of standards model, there is a shifting tendency from the mean field model for the compositions La0. ^[35] The scaling relations agree well with the exponent values obtained experimentally and numerically in the ET regime of a viscoelastic fluid in different flow geometries. ^[36] The estimated monthly mean absorption Angstrom exponent values range from 0. ^[37] The multivariate Newton’s method is applied to the difference between the observed and estimated data to optimize the exponent values of the governing parameters. ^[38] It was found that double layer capacitance exponent values obtained from impedance measurements cannot be used for direct modeling to describe the behavior of electrochemical noise spectra. ^[39] We used k-means as clustering algorithm for the 3003 Hurst exponent values of these series, improving the visualization of all of the data to identify a relationship between Hurst exponent with MAPE and sMAPE forecasting error of the Simple Exponential Smoothing and ARIMA. ^[40] DFA exponent values are different regarding the concerned synoptic stations, reflecting the effect of geographical position and climate on the LTM. ^[41] The critical exponent values are β = 0. ^[42] The developed simplified equation was verified by comparing the isentropic exponent values obtained by this equation with reference values obtained by the equations IAPWS-IF97. ^[43] The stress exponent values for the solder alloy doped with TiO2 were found to be varied with aging temperatures between (4. ^[44] Critical exponent values () have been obtained by employing the Kouvel–Fisher method and Widom-scaling relation; confirming the second order phase transition observance in the magnetic transition region. ^[45] The obtained scaling exponent values are found between 0 and 3 and are not correlated everywhere with the estimated depths and the geology of the region. ^[46] Exponent values of 1. ^[47] The maximum shear modulus increased with increasing the effective confining stress exponentially with relatively high exponent values compared to those reported for siliceous sands. ^[48] We perform a systematic study of the maximum Lyapunov exponent values $\lambda$ for the motion of classical closed strings in Anti-de Sitter black hole geometries with spherical, planar and hyperbolic horizons. ^[49]

Critical Exponent Values

Basing on the modified Arrott and Kouvel-Fisher techniques, scaling hypothesis, and critical isotherm analysis, we have determined the critical exponent values characteristic of magnetic order of La1−xSrxCoO3, with β = 0. ^[1] By analyzing the field dependence of the magnetic entropy change data as well as the relative cooling power, it was possible to evaluate the critical exponent values which were found not only agree with those deduced from (MAP), (KF) and (CIA) methods, but they also obey the scaling theory. ^[2] The paper is closed with the conclusion of a wide crossover effect that covers the whole line between tricritical points, where earlier papers indicate the possibility of non-universal behavior with the critical exponent values varying continuously. ^[3] The deduced critical exponent values for the nanocrystalline La0. ^[4] However, the estimated critical exponent values β  = 0. ^[5] The critical exponent values are β = 0. ^[6] Critical exponent values () have been obtained by employing the Kouvel–Fisher method and Widom-scaling relation; confirming the second order phase transition observance in the magnetic transition region. ^[7]

Hurst Exponent Values

We used k-means as clustering algorithm for the 3003 Hurst exponent values of these series, improving the visualization of all of the data to identify a relationship between Hurst exponent with MAPE and sMAPE forecasting error of the Simple Exponential Smoothing and ARIMA. ^[1] Each class was a set of time series with the Hurst exponent values in a predetermined range. ^[2] Furthermore, two Hurst exponent values were obtained for each recording, by subjecting them to time intervals of 1 and 2 milliseconds respectively. ^[3] Hurst exponent values of IZO films indicate that although IZO/Si films have highest vertical roughness, it has strongly correlated (highest self-similarity) surface morphology than other two films deposited on glass and ITO substrates. ^[4] In addition, the Hurst exponent values were in a non-proportional function to (q), which is a weight value indicating the multifractal behavior of the dynamics of the earthquakes analyzed in this work. ^[5] We used k-means as clustering algorithm for the 3003 Hurst exponent values of these series, improving the visualization of all of the data to identify a relationship between Hurst exponent with MAPE and sMAPE forecasting error of the Simple Exponential Smoothing and ARIMA. ^[6]

Stres Exponent Values

Stress exponent values were determined through a constant loading process utilizing a spherical micro indentation method, where the strain rate is extracted from the indentation rate. ^[1] The stress exponent values were found to be varied from 3. ^[2] The stress exponent values of the as-cast alloy were smaller than those of the extruded alloy. ^[3] The stress exponent values were found to be 19. ^[4] The stress exponent values for the solder alloy doped with TiO2 were found to be varied with aging temperatures between (4. ^[5]

Law Exponent Values

In consequence, the power-law exponent values become greater than 1 and exhibit super-linear and/or NCL (nearly constant loss) nature. ^[1] First, we provide a reconciliation of the numerically different power-law exponent values for fatality distributions across entire wars and within single wars. ^[2] The power law exponent values obtained from dynamic swelling in aqueous Na2SO4 solution indicated that the sorption mechanism of both the nanocomposite NC/BENTm-Hgel and NC/BENTm-Cgel samples was Fickian controlled. ^[3]

Scaling Exponent Values

Finally, the invariant value of maximal coupling efficiency across mammal species could partly explain why scaling exponent values are very close to 1 at maximal metabolic rates. ^[1] The obtained scaling exponent values are found between 0 and 3 and are not correlated everywhere with the estimated depths and the geology of the region. ^[2]

Lyapunov Exponent Values

We perform a systematic study of the maximum Lyapunov exponent values λ for the motion of classical closed strings in Anti-de Sitter black hole geometries with spherical, planar and hyperbolic horizons. ^[1] We perform a systematic study of the maximum Lyapunov exponent values $\lambda$ for the motion of classical closed strings in Anti-de Sitter black hole geometries with spherical, planar and hyperbolic horizons. ^[2]

exponent values obtained

125, and the linear fitting exponent values obtained in this work were nearly same with the previous data in similar systems. ^[1] The power law exponent values obtained from dynamic swelling in aqueous Na2SO4 solution indicated that the sorption mechanism of both the nanocomposite NC/BENTm-Hgel and NC/BENTm-Cgel samples was Fickian controlled. ^[2] In the case of 3D SC, the exponent values obtained from the two independent measurements show excellent match. ^[3] The scaling relations agree well with the exponent values obtained experimentally and numerically in the ET regime of a viscoelastic fluid in different flow geometries. ^[4] It was found that double layer capacitance exponent values obtained from impedance measurements cannot be used for direct modeling to describe the behavior of electrochemical noise spectra. ^[5] The developed simplified equation was verified by comparing the isentropic exponent values obtained by this equation with reference values obtained by the equations IAPWS-IF97. ^[6]