1. 64 is an exponential expression.

2. The policy tried to check the exponential growth of public expenditure.

3. We are looking for exponential growth in our investment.

4. 4 is an exponential expression.

5. There has been an exponential increase in the world population this century.

6. Exponential smoothing would again normally be used for short term forecasting, for periods up to six months ahead.

7. This would produce exponential curves, which do not fit the data, particularly in the first 3 months after radiotherapy.

8. However, the fraction of light absorbed is an exponential function of the pigment concentration in a leaf of a given thickness.

9. Text messaging has experienced exponential growth in the past year.

10. Claude has suggested that there is an exponential relationship between the number of tight junctional strands and transepithelial resistance.

11. Exponential shape transducer horn is adopted to linear speed.

12. The reformer and ideologist Zheng Guanying was the exponential.

13. Im writing a book about trigonometric and exponential functions.

14. The frictional dissipation will introduce an exponential decay.

15. Computer technology has risen an exponential curve.

16. Tumors grow on an exponential curve.

17. Populations tend to grow at an exponential rate.

18. You may recognise this as an exponential decay graph.

18. is a sentence dictionary, on which you can find nice sentences for a large number of words.

19. Compared with the exponential distribution, the unified velocity distribution of pipe flow is very reliable.

20. Based on the analysis of HGMD, an exponential decay of the size distributions of the small insertions and deletions is revealed in association with the number of nucleotides inserted or deleted.

21. In this paper, the persistence and exponential decay characteristics of wavelet coefficient are analyzed, a model parameter initialization method is proposed.

22. This diversification has been shown to correspond closely to a simple exponential growth model.

23. Most market professionals agree that the tax-deferred funds are a major force behind the exponential growth in stock prices.

24. Possible models are a power of the intensity or its exponential, where the radiometer is used to measure the intensity.

25. If only passive properties determine the pressure elastic modulus, an exponential increase would have been expected.

26. The liquid emptying plots were all straight lines and were fitted to a single exponential function by an iterative least squares method.

27. The present paper deals with theoretical model of random sequence of exponential attenuate acoustic pulses caused by ship propeller cavitation noise.

28. First, this paper introduces the statistical inference for the exponential distribution with two parameters type - I censoring.

29. The equation shows that the magnetic induction intensity is a sinusoidal oscillation signal and its amplitude is a damped exponential law.

30. The testing results show that the core porosity, permeability, compressibility of low-permeability core are sensitive to confined pressure, and there are exponential degression relation among them.

1. 64 is an exponential expression.

2. The policy tried to check the exponential growth of public expenditure.

31. The Fisher - type statistic is very effective for testing outlier in exponential sample.

32. As shown, high-priority tasks receive the vast majority of the processor, while low-priority tasks receive considerably less in an exponential curve.

33. The theoretical models for slug test include exponential decay model, underdamped model and nonlinear model.

34. The circuit shows th at the input capacitance (CIN) must be charged toRSCINvolts, at an exponential rate of the ISRS time constant.

35. In virtue of nonlinear measure, a delay- independent sufficient condition is derived for the existence, uniqueness and exponential stability of the equilibrium point.

36. With this new approach, some sufficient conditions for the exponential stability of nonlinear systems are obtained, and the exponential decay estimation oft he solution is also proposed.

37. Regression analysis, grey-system and exponential smoothing method are in common use as forecasting methods of maritime accidents nowadays.

38. The character of the earth's atmosphere with the altitude exponential decay had made the cooling effect very strong at the early stage of the uplift.

39. The electron number density does not strictly obey exponential damping law in a long period.

40. In this dissertation, we study the mean value of the two-term exponential sums with Dirichlet characters, and give an exact calculating formula for its fourth power mean.

41. RL circuit is taken into consideration, in which the transient current signal includes a period component varying in sinusoidal waveform and a non-period component varying in exponential waveform.

42. The sufficient conditions of the weak exponential asymptotic stability of impulsive differential system are obtained.

43. Floating-Point literals may also be represented using exponential notation: a real number followed by the letter e(or E), followed by an optional plus or minus sign, followed by an integer exponent.

44. An analysis using complex exponential series is developed for the problem of a crack on the boundary between two dissimilar materials.

45. Robustness with Respect to Small Delays for Exponential Stability of Pritchard - Salamon Systems with Admissible State Feedback.

46. Instead of being a gentle growth curve, it's an exponential curve, and we're almost at a vertical wall.

47. Packrat parsing solves the problem of this kind of parser, i.e. exponential parse time.

48. As to the networks whose activation functions are strictly increased and whose neuron connection matrix T is diagonal stable, the exponential convergence rate is given.

48. try its best to collect and create good sentences.

49. Through the compare we can draw a conclusion that the gray forecasting precision is the best, the exponential curve method is the second best, and the logarithmic curve method is the worst.

50. In this paper we study systems of Diophantine inequalities and equations with prime numbers. We improve previous results by more delicate estimates of exponential sums.

51. The Six Sigma Black Belt should be familiar with the commonly used probability distributions, including: hypergeometric, binomial, Poisson, normal, exponential, chi-square, Student's t, and F.

52. It is found that the change of threshold voltage value fits in exponential law with absorbed dose, which is caused by the effect of space charge and interface charge.

53. Weapon-Target Assignment problem (WTA) is NP hard. Classical methods for solving such problems are based on graph search approaches and usually result in exponential computational complexities.

54. Results The average equivalent sound level and the detectable rate of workers hearing loss were exponential positive correlation, the coefficient of correlation r was 0 812 45.

55. It consists of a variable-gain cell based on a current-steering structure, a novel wide-range exponential voltage generator, and a stage of a fixed-gain amplifier.

56. We have discovered that the income sequence of Chinese exponential sequences demonstrates the complex fractal and non-linear characteristics.

57. This paper studies a genetic model where genotypic fitness is an exponential function of the expected payoff in the matrix game under partial selfing selection.

58. The exponential gain coefficient . diffraction efficiency, phases conjugate reflectivity a nd the response time were measured.

59. When the pesticides were applied with rice-hull carrier the dynamics of residual degradation exprespse as two exponential equation reaction.

60. The flux is in the tendency to the exponential decay along with filtration time and achieves the relative stability index in a few minutes.

61. Grey model is an exponential model, which has high precision to observation data series fiting in with exponential rule.

62. We get approximate confidence limit of reliability of series system based on grouped data or binary data of k exponential type components.

63. Based on G-O model, we propose a software cost model incorporating fault-remove time which followed exponential distribution and reliability function of software in this paper.

64. By using related inequalities, some inequalities similar to Hlder inequality, Minkowski inequality or Tchebychef inequality of logarithmic or exponential mean are proved.

65. Accoroding to the field data of sediment laden flow and hyperconcentrated flow, the exponential law of velocity distribution are studied in this paper.

66. In this paper we prove that the exponential series of LCM function is less than 4.

67. Conclusion Clozapine effectual procedure shows a rule of exponential curve.

68. Facing fuzzy market demand, this paper presents bilevel decision models for system with negative exponential quantity discounts and capital constraint.

69. This paper introduces accelerated life testing GLM and MLE of parameters under the exponential distribution case.

70. The fatigue life of the welding structure exhibits an exponential decay function of the welding angle.

71. We point out the similarity and difference between the properties of the order statistics from the geometric distribution population and exponential distribution population.

72. Finally, the curve of the relation between input and load impedance of the exponential waveguide is given and discussed.

73. The stress relaxation curves were fitted using the second order exponential decay function and it showed that the coefficient of determination was large.

74. The fitted result proves that the hypothesis that load-life curve in single logarithm should be exponential curve is right.

75. In this paper, we describe some inequalities for the Taylor coefficients of a composite exponential function.

76. The motion of plunger of oleo damper excited by colored Gaussian noise with exponential correlation time is governed by first order nonlinear differential equation.

77. Application of seasonal exponential smoothing method to groundwater level prediction is discussed herein.

78. The exponential function rules coal briquette penetrability coefficient coal briquette loading and unloading.

79. The models for the exponential process and quantum beat are presented to extract the photodissociation dynamics information from the data.

80. The exponential gain, the diffractive efficiency, the response time,[http:///exponential.html] photoconduction and signal to noise ratio or the crystals were measured.

81. According to its exponential wave responses, the impulse measurement errors of a digitizer can be calculated.

82. Nonlinear directly estimating formula for exponential curve which, through fixed point, was derived, by using first order approximation of Taylor expansion.

83. The exponential equation is used in master getting system in order to develop hero growth curve individually with a slowing down growth rate.

84. Single solitary wave solutions, multi-solitary wave solutions and exponential localized solitary wave solutions can be constructed from the results.

85. A direct grey model of unequal gap which possesses white exponential law coincidence property is built.

86. The confidence level and uncertainty limit of even exponential of uniform R.

87. China's oil imports are on the same exponential growth path as its car fleet.

88. According to their characteristics, the antagonistic substances produced by PNB in exponential phase were bacteriocin and they had been classified into small heat-stable peptide (SHSP).

89. It is the most important and the most difficult that how to determine the value of smoothing parameters with Holt Exponential Smoothing.

90. Learn how exponential growth can affect your level of success in your chosen field.

91. The original key assumption of the model was that the world contains only a 250-year supply of nonrenewable resources, and that the demands on that supply are exponential.

92. As a consequence, either additional credit has to be taken up, thus triggering constraints of exponential growth, or there will be a redistribution of income from debtors to lenders .

93. The forward modeling of models in 2 D random media has been produced by taking 2 D exponential ellipsoidal auto correlation function for an example.

94. By Lyapunov function and semimartingale convergence theorem, some results on its properties such as asymptotic stabilities, polynomial stabilities and exponential stabilities have been given.

95. The reason of bias for using the exponential deliverability equation is analyzed.

96. However, two characters in the fuzzy exponential smoothing model have never been clearly discussed.

97. Based on action values, an exponential function and a logarithmic function are used to compute action rewards and discount rate dynamically, which accelerates agents to choose optimized actions.

98. The spirit of the exponential slippage guidance method is keeping the direction from temporary position to the aiming point while decreasing the approach speed.

99. The algorithm makes the moving exponential average model as the foundation, depend on the history travel time data to predict the link travel time in future times.

100. Of course one of the driving factors of this business is the exponential increase in processor performance.

101. The lower confidence limits of storage reliability for exponential type products were studied.

102. The regularity of rigidity degeneration of either loading or unloading condition accords with exponential law.

103. Two mathematic methods are presented to prove that 2-parameter hyperbolic model and exponential model are the superior limit and lower limit of the corresponding new 3-parameter model respectively.

104. Furthermore, it proposes a new method of round trip time (RTT) estimation, named exponential weighted moving average RTT.

105. The logarithmic function is defined as the inverse of the exponential function.

106. The concentrations of particulate matter presented the exponential decay with the height increassinsg.

107. The lifting computation is rather complicated and involves the computation of the matrix exponential function and matrix integration.

108. In the stable production period, the decline feature presents exponential law.

108. is a online sentence dictionary, on which you can find nice sentences for a large number of words.

109. Exponential weighting coefficients are used to increase the sensitivity of the measurement.

110. This paper presents an adaptive exponential filter used for edge detection. It can be designed to eliminate the noise of image and obtain good precision of edge localization.

111. Exponential and trigonometric Functions: read Chapter 2 and do exercises.

112. The spectrum was found to be an exponential decay followed by a stretched exponential decay, with a decreasing width parameter.

113. The life curve of the transformer is different from life curve of the electronic product and it disobeys the exponential distribution.

114. With the assumption that the component processing time is exponential distribution, components' average queueing time in the system was calculated by queueing theory.

115. Forward kinematics is established by twist - product - of - exponential formula.

116. The anti-malaria measures are evaluated by using the exponential curve model.

117. Exponential, hyperbolic, and harmonic curve equations are often used to mathematically express the decline curve.

118. We draw the conclusion that negative exponential weighting of future tracking errors can improve the control performance of the control systems.

119. The envelopes of the strain peaks is an exponential function.

120. Surface potential based drain current model for organic thin-film transistor (OTFT) is presented considering the exponential distribution within the bandgap.

121. It is shown that these schemes are approximate schemes to local exponential scheme. Some of them are effective. In addition, a piecewise appro...

122. The bare land is studies the area to spread with the compound exponential quantity highest type.

123. A closed form for the exponential generating function of the generalized Cauchy numbers is obtained.

124. In his view, Luddism was, indeed, a fallacy when productivity improvements were still on the relatively flat, or slowly rising, part of the exponential curve.

125. The relation were good between ALP/Cr, PALP/Cr or thermostable ALP/Cr (y) and pregnant weeks(x) with exponential functions.

126. To study this mechanism, we used the exponential autoregression model which is originated from non-linear auto-vibration.

127. if there's more of it, you'll just have more at any given time decaying over to products. So you have an exponential decay.

128. kT So the energy has to get to be very big.Before it's bigger kT than kT. And as long as it isn't, then this exponential term is not small.

129. In this paper, the problem of boundary value for analytic function system is discussed by introducing exponential matrix and logarithmic matrix.

130. The exponential utility function and elimination and choice translation algorithm ( ELECTRE ) are introduced into the study.

131. The truncated binary exponential back-off CRA(Collision Resolution Algorithm) has been widely applied in random multi-access channel, such as LAN and HFC.

132. To study the dynamic priority algorithm on CAN-bus, a mixed traffic scheduler(MTS) based on exponential assignment was proposed. It gives attention to both hard and soft realtime messages.

133. There will be shielding charges in the penetration layer with a exponential distribution. The shielding charge has opposite sign and equal amount to the surface induced charge caused by moving.

134. As doublings accumulate, however, and technology moves into the steep part of the exponential curve, great leaps become possible.

135. The multistage reliability growth model of exponential life distribution is researched under the mode of failure lingering repair.

136. Using the improved seasonal exponential smoothing to finish the prediction of water consumption of Zhengzhou at the same time.

137. Basing on the assumptions of exponential fluid and narrow plate model, formula of climbing height in base post-grouting is deduced.

138. It is found that the secondary exponential smoothing method is much better in forecasting.

139. By means of higher transcendental functions(exponential integral, sine and cosine integral),[] the general solutions ofthe problem are obtained.

140. The input (record) is filtered by the application of an optimum bilateral exponential filter, and the output model of gold signal for each line is produced.

141. An exponential moving average is slow but steady, like a directional indicator on a steamroller.

142. The hardware resource required for parallel Viterbi decoding shows an exponential increase with the increase of constraint length of convolutional code, which limits its hardware implementation.

143. Nevertheless, I showed in 2002 that within the black box model, any quantum algorithm needs exponential time to solve the collision problem.

144. Using the method of characteristics, we obtain the results of the exponential decay properties of the strong solutions for the b-family of equations.

145. According fuzziness of quality of digital image, we propose a set of fuzzy exponential objective functions.

146. The coefficient of a binary solution, like that of a single liquid, can be expressed as an exponential function of activation energy and temperature.

147. The second one is a brand - new method based on dual - exponential curve transformation.

148. In chapter 4, we derive the exponential upper bounds of loss probability under some different conditions.

149. It is shown that the grey exponential law can be obtained by means of accumulative generation for non-negative smooth discrete function.

150. The results show that the COD at the inflow and outflow follows the rule of exponential equation.

151. The figure of regression equation of linearise turned from the functional equation of exponential curve is the best line to express the correlation of exponential curve in colorimetric analysis.

152. These measurements showed that the electronic heat well below Tc was dominated by an exponential dependence.

153. Result shows that the model established agrees with the assumptive exponential model based on the nerve network theory and the feasibility of the method is prove.

154. When told the data are from an exponential or Erlang distribution the Six Sigma Black Belt should know that the run chart is preferred over the standard X control chart.

155. The regression analysis showed that the rate constant was greatly related to the initial concentration of cellulous, and the exponential function was the fittest model.

156. The relationship between the order M of the exponential series function and astringency was also analyzed.

157. In combination with the Bayes estimator for the parameter of linear exponential model under the same loss function, the nonparametric empirical Bayes estimator of the unknown parameter was obtained.

158. This paper through the analysis and study of the law of pavement roughness index IRI over developing with time points out using exponential smoothing method to improve forecast accuracy.

159. An exponential decay of solutions for quantum drift-diffuse model is studied.

160. The exponential matrix function exhibition series was applied to solve the static problem; adopt the state space iterative method was applied to solve dynamic problem.

161. The exponential type horn can suppress high harmonic wave and low harmonic wave.

162. On the basis of fitting the shell flight-time of anti-aircraft gun by integral exponential, this paper researches into the problem on changing the exponents of the parameter.

163. Then using the matrix, the accumulated generated grey exponential law about the sequence is proved.

164. In this paper, the exponential smoothing method and the prediction process of the cubic exponential smoothing method are introduced in detail.

165. In the paper , a simulated data under Exponential Distribution is given.

166. Finally, the subsequent processing combining an exponential transform with an output revise was used to restore the true signal. Thus, the multiplicative noise embedded in observation was removed.

167. A direct grey model of unequal gap which possesses white exponential law coincidence property is built. In the meanwhile, niche genetic algorithm to optimize model parameters is given.

168. Exponential growth in human knowledge as a result of interaction of science and technology.

169. The forecasting course has used mathematical approach to make science decisions such as correlation recurrence and exponential smoothing etc.

170. Regression analysis includes linear, polynomial and exponential curve fitting, plotting[ ], and interpolation.

171. The results indicated that, there are both negative exponential functions between safety input(especially the safety education input) and direct accident loss and accident frequency.

172. Through mathematic analysis, the author of this paper comes to a conclusion that negative exponential equation can not be used to elucidate the regularity of the settling of suspended matter.

173. The paper describes the RSA arithmetic about cipher, showing the exponential expression of it.

174. The equation of exponential curve model, which used to predict single pile limit bearing capacity, is super-set and nonlinear.

175. Then fit heat output curve by exponential function and hyperbolic function, and solved heat output coefficient of different composition ratio cement.

176. A delay dependent stability criterion for a class of linear large scale time varying system is deduced by employing matrix differential equation theorem and matrix exponential properties.

177. As for the reachable problem, in this paper, on the basis of the improved variable rate reaching law, exponential rate and extension control, a new hybrid control strategy is formed.

178. In this thesis, the feasible criteria of several ANNs to criticize existence of the unique global exponential stable equilibrium.

179. The paper describes the RSA arithmetic about cipher, and shows the exponential expression of it.

180. The equivalent impedances of inductor and capacitor in transient response were deduced from the exponential transient solution and the volt ampere relation of these elements.

181. The switching surface was obtained by using the optimal method and the controller was designed by using the method of exponential approach law.

182. Microarrays have been used to compare the expression profiles obtained by modifying in vitro growth conditions to impose stress on S. pyogenes during exponential growth.

183. The paper gives a derivation rule of the exponential function and analyzes some common calculation methods.

184. The hydrolysis rate constant increases at a exponential function with temperature increase.

185. Abstract: The sufficient conditions of the weak exponential asymptotic stability of impulsive differential system are obtained.

186. As the number of online information increases in exponential, how to organize numerical information efficiently has become the basic requirement of terminal information search.

187. It was also found that the tracer concentration decayed with distance in a larger negative exponential order for the upwind direction than that for the downwind direction.

188. Then, by virtue of frequency domain multiplier method, we prove that the closed loop system with both a locally distributed feedback control and a boundary one is of exponential decay.

189. The input (record) is filtered by the application of an optimum bilateral exponential filter, and the output model of gold signal fore...

190. In the model, the sample temperature is layered and the exponential smoothing is introduced to determine the adjusting coefficients for each and all temperature layers.

191. The infrastructure uses an exponential back-off algorithm to determine when to retransmit, based on a computed average round-trip time.

192. These exponential or logarithmic relationship, that characterize harmonious growth with changing proportions, are termed " allometric ".

193. The input (record) is filtered by the application of an optimum bilateral exponential filter, and the output model of...

194. However, the complexity of the design verification exponential with the increase of the chip scale.

195. Those difficulties might be overcome by an "adaptive numerical integration algorithm", frequency transformation, and exponential weighting of the signals, respectively.

196. For many years, processing power has increased at an exponential rate.

197. Note the exponential decay in the current using both a positive and a negative test voltage.

198. The first exponential has been introduced to allow for variation of amplitude with attitude./exponential.html

199. The paper also points out the advantages and disadvantages of the exponential smoothing method.

200. Moreover, the control laws using smooth time varying feedback do not at exponential convergence rate.

201. An exponential function is one in which the variable appears in an exponent.

202. By combining the Gauss quadrature with the calculation technique of matrix exponential function in the precise time-integration method, a new precise time-...

203. In the early years of the ICT revolution, during the flat part of the exponential curve, progress seemed interesting but limited in its applications.

204. In the chapter when the boundary conditions are as following we discuss the global existence, uniqueness and exponential decay for the system (1.1)—(1.2).

205. This exponential growth in processing power has enabled cutting-edge technology to spread beyond the purview of governments and into the hands of over a billion individuals around the world.

206. The present paper deals with the asymptotic properties of estimation and likelihood ratio test for-two exponential populations with partially missing data.

207. In addition, they perform a linear extrapolation from the approximately linear tail of what appears to be an exponential curve.

208. The entire sports industry enjoyed exponential growth when he was the superstar in NBA.

209. This paper gave a simple computing rule for the derivative of exponential power functions and discussed the changes of function definition domain caused by logarithm derivation.

210. This says that in the exponential decay model (for this time range) I would have been getting about 20 hits per minute. And here you can see where my model breaks down.

211. Relationships between embryo weight and incubation time were exponential regression.

212. Viewed increase closely resembles the classical exponential growth curve - a growth pattern that cannot be sustained.

213. In this model, the longitudinal momentum of scattered particle is given by stopping law while the transverse momentum is sampled from exponential or Guassian distribution.

214. This paper proposes a new model of exponential velocity profile equation for laminar flow.

215. However, under the different conditions of flow and boundary, exponent values in the exponential formula and related parameters in the logarithmic formula are different.

216. In this paper new exact solitary wave solutions of some nonlinear evolution equations are constructed by replacing the hyperbola function with the combinations of the exponential functions.

217. Based on the assumption that products' lives follow exponential distribution, the maintenance records were analyzed with the consideration that the overall sample number is unknown.

218. The breakdown current and the corona current are represented by a new pulse function and a double exponential function respectively.

219. Modified Multi-valued Exponential Correlation Associative Memory Model (MMECAM) is a neural network with higher storage capacity.

220. A simple and practical scheme is presented for establishing exponential auto - regressive model.

221. An exponential assessment model is established on the basis of the comprehensive evaluation, the fuzzy integrating assessment and the exponential operator.

222. Bayesian reliability sequential testing method is gave out for exponential distribution.

223. In this paper, the fog hours in 1961-1990 are counted every year. It is found that the fog hours have been increased by the exponential law in the last 30 years.

224. Additionally, a model of demand forecast, which bases on methods of least square and exponential smoothing, also be made.

225. By using the perturbed-energy method, the exponential decay of the solution is obtained for the nonlinear wave equations with time-dependent coefficients and dissipative boundary condition.

226. Both the numbers of tree species and tree density decreased as height class or diameter class increased, fitting both negative exponential and negative power equations.

227. Three Exponential Smoothing model's precision is high, but the result of this model are far away from actual.

228. It is shown that the variation of gusty cueffieient with height can be fitted by negative exponential law.

229. The variograms of arsenic persistently increased and could be fitted by exponential equation.

230. The procedure for calculating the exponential matrix guarantees that the simulation accuracy is not restricted by the calculating step length, then the calculating efficiency has been raised greatly.

231. Through academic discussion and exponential analysis, the cause of vibration, the amelioration measure was provided.

232. The comparison between unbiased GM (1,1) model and exponential equation model is given by theoretical analysis and examples computation.

233. In this paper, we prove the inequality relations of arithemetric mean, logarithmic mean, exponential mean and geometric mean for two positive numbers by using probabilistic method.

234. If the area-time curve and exponential type function are used as the waiting time probability density function,[sentence dictionary] then the GIUH is equivalent to the conceptual models of CFW.

235. The paper investigates the optimization design of power efficiency of exponential impedance transformer with analytic method and numerical method.

236. Component's life and repair time includes six kinds ofdistributions: Exponential, Normal, Lognormal, Gamma, Beta and Weibull.

237. But after two centuries of technological improvements, productivity has "turned the corner" and is now moving rapidly up the more vertical part of the exponential curve.

238. Cybercrime has become a multimillion dollar industry , demonstrating exponential growth.

239. In this paper, a tree-shaped network of strings equipped with velocity feedback controllers is considered, and the exponential stability of the closed-loop system is obtained.