1. Scalar polynomial curvature singularities therefore can not occur.

2. Usually this will be a scalar polynomial curvature singularity, but a large class of significant exceptions occurs.

3. Such splitting is feasible if the polynomial on the numerator is of lower degree than that on the denominator.

4. The error is in taking the polynomial to be a structural representation of the system, but the basic underlying fallacy remains.

5. The general methods are polynomial approximation and Chebyshev approximation.

6. The curve mesh body created is a polynomial bicubic.

7. Every polynomial is differentiable, and so is every rational.

8. Our algorithms are of polynomial complexity.

9. I have no idea about factorable polynomial.

10. PDF - Irreducible polynomials with the primitive polynomial.

11. Especially when time path is highly nonlinearity, polynomial method will become complex and hard to operate.

12. The Polynomial - Basis Multiplier in the finite field is the key module to realizing ECC basic operations.

13. Secondly, the unknown parameters of a quadratic polynomial are defined by regression analysis and a reasonable approximation of the physical limit state function is obtained.

14. The Frye and Morris polynomial model is adopted for modeling the semi - rigid connections.

15. A polynomial may be used during analysis to generate a metric indicating the suitability of the sensing vector for use in cardiac event detection and analysis.

16. The impedance function is approximated by fractional polynomial, which is represented as a series connection of parallel RL elements (Foster form).

17. Using vertex shader instructions the polynomial coefficients and spherical harmonics functions can be fast calculated, and then the corresponding irradiance environment maps are also generated.

18. The polynomial multiplication is performed by sub-polynomial multiplications and additions.

19. The application of the least square polynomial fit method in the wavelength calibration of the Optical multichannel analyzer with a CCD detector is investigated.

20. The paper emphasizes on the methods of polynomial surface approximation which is part of numerical approximations, and analyzes the precision of polynomial function model through the measured data.

21. More interesting are problems where the answers can be written down, and even checked for correctness, in polynomial time.

22. There are also facilities to display the data's standard errors and select polynomial and rational functions.

23. Then, on the basis of theory of Taylor series, an orthogonal polynomial model of a-N curves is proposed to have more polynomial degree, and higher relation coefficient.

24. With your mouse, drag data points and their error bars, and watch the best-fit polynomial curve update instantly.

25. We study uncapacitated version of the minimum cost flow problem of one-commodity and two-commodity with not only fixed cost but also variable cost, and give them each a polynomial algorithm.

26. Ancient Chinese mathematicians had tried to extend them as for as infinite arithmetic, but the result turned out to be a set of formal operations corresponding to polynomial theory.

27. The author study the minimum cost flow problem with not only fixed cost but also variable cost, and they found it be a mixed 0-1 linear program, and it does not have polynomial time algorithm.

28. The property of companion matrix is studied, and the method of calculating the characteristic polynomial of matrix with similar transformation is explained.

29. The relationship of reading values and standard values for two types of sensors are the polynomial function and the linear equation.

30. Based on the blending functions, a method of generating piecewise polynomial curves with several shape parameters is obtained.

31. There are three important graph polynomials in graph theory, they have a close relationship with each other: chromatic polynomial, Tutte polynomial and flow polynomial.

32. Center conditions and bifurcation of limit cycles at the infinity for a class of quintic polynomial system were studied.

33. Orthogonalization method of simultaneous estimation of polynomial model order and parameter is presented in this paper.

34. The authors define polynomial Lie subalgebras in the infinite matrix Lie algebra, and discuss some main properties of this kind of subalgebras and its construction.

35. The predictive intelligent control scheme is proposed, which is based on approximation theory and numerical method of Chcbyshev orthogonal polynomial.

36. A new method based on orthogonal polynomial integration theory to realize image interpolation with a reduced and constant complexity and with a good precision is presented.

37. The IGAF is used to resolve nonrigid multitarget for it is an ideal tool to analyze polynomial phase signals, and it is proved to be effective by analyzing the radar data.

38. The dielectric property of dispersive media is written as rational polynomial function, the relation between D and E is derived in time domain. It is named shift operator FDTD (SO-FDTD) method.

39. It is a combination of the least-square method and the matrix iteration method. In the calculation, the polynomial function is taken as the trial function.

40. Because graph coloring problem belongs to NP complete problems, it can not get the optimal solution in polynomial time.

41. Polynomial multiply and divide computing process and the general polynomial algebra multiply and divide the same.

42. According the characteristics of the flight data, the moving quadric polynomial regression model is established and is transformed to the orthogonal polynomial to calculate the regression coefficient.

43. The polarities check ability, minimum code distance and capacity of correct single bit error of CRC-CCITT are proved by using galois field polynomial theory.

44. Taking all into account, 5-5-5-orders piecewise polynomial trajectory mode is more applicable.

45. In this paper we introduce an integral recurrence formula for calculating polynomial of powers sum, and gives its a primary proof and some applications.

46. Polynomial curve fitting is a usually used data fitting method. When there are too many data for fitting, only just one polynomial curve function cannot acquire good fitting effect.

47. Least squares polynomial smoothing was constantly used in X ray diffraction test.

48. By use of numerical approximation method, the paper uses the polynomial to approach segmentally the transient electric field from dipole dipole array.

49. Based on DL(discrete logarithm)problem, S1 is decrypted by introducing a multi -channel service parameter and a special polynomial function, S2 is decrypted by Chinese Remainder Theorem.

50. The curvilinear equation of quartic polynomial is used to simulate the boundary of the pile hole to improve the presumption of previous research results which are not well suitable.

51. By companion matrix of polynomial gave one necessary and sufficient conditions of two polynomial having common roots, according to the above gives one method to solute dual higher order equation.

52. The polynomial model fitting for radar cross section (RCS) of target is used for estimating the parameters of precession, which provides a new way for radar target discrimination.

53. The method of orthogonal polynomial regression was used for regression modeling, and then the regression equations and regression coefficients were tested for significance.

54. This paper presents a solution to the problem of the shortest linear recurrence of two sequences over an integral domain and describes the recurrence of the minimal polynomial.

55. The constant of polynomial equation was a good variable for classification with its precision average of 73.45%.

56. The S-curve, trigonometric function, and polynomial planning methods are more smooth and feasible to high speed system.

57. This result can be combined with subdivision method to obtain a piecewise interval polynomial approximation for a rational surface.

58. Another general method explored by Viets was to factor the polynomial into first degree factors.

59. Clearly, the difference operator or operator is the convenient tool for the polynomial of factorial powers.

60. In this paper , we consider a special integer bottleneck problem, and present two polynomial algorithms.

61. TASK: write a program to calculate sum of Polynomial by Horner scheme.

62. It is used the fitting methods based on orthogonal polynomial to study a practical problem, and achieved better results, that provide a new method for the loss of distribution fitting.

63. In chapter two, using piecewise quartic polynomial as kernel function, we give analytical convolution solutions for points, line segments, arcs, quadratic Bezier curves and triangle segments.

64. A multi-point lifting model is built, the deflection and force distributions in every lifting state are obtained using an interpolation polynomial method.

65. The displacement functions of infinite soil piece are given as the product of analytical functions in vertical and radial directions and piecewise polynomial in the angular direction.

66. A decentralized adaptive control scheme is presented for time varying systems by using the polynomial approximation approach.

67. A simple polynomial regression for experimental data shows that main flow velocity and perforation flow velocity are main factors resulting in mixture loss under given conditions.

68. Therefore, there is no algorithm with polynomial computational complexity that guarantees optimal motion vectors.

69. It give the solution for polynomial equations using simplex method.

70. Its form up to a tenth degree polynomial is shown below.

71. The second-order polynomial of pressure variation with different latitudes considering atmospheric pressure is best.

72. In triangular and rectangle elements, the RFI is equivalent to area coordinates of triangular and bilinear polynomial interpolation in quadrilateral, respectively.

73. Clearly, the difference operator or sum operator is the convenient tool for the polynomial of factorial powers.

74. It demonstrates that the composite curve is advantageous in good kinematics behavior and low flow ripple, more appropriate to 10 vane than the polynomial curve conventionally used.

75. A polynomial algorithm about minimal marking of structural live Petri nets is presented, it is based on incidence matrix and the constructive of transitions sequence.

76. For the parsimony this paper presents model a polynomial time greedy algorithm and a compound algorithm that combines the greedy policy with the branch-and-bound strategy in a uniform framework.

77. The inverse filtering restoration approach with polynomial approximation is applied to correct the field-curve photos from an experimental digital camera.

78. Through taking an example and comparing with neural network model and conicoid polynomial fitting model, the availability of LSSVM method o.

79. They are provably secure based on pseudo-random synthesizers, in our scheme, the sender may be unbounded to polynomial time and the receiver is bounded.

80. The static state models of an EGO sensor were obtained by using piecewise polynomial method and nonlinear regression analysis method based on available experimental data.

81. Based on the curve of quintic polynomial, the take-up cam is designed, and the method of optimized design is presented in this paper.

82. The piecewise polynomial regression model was established based on analyzing the scatter diagram of the speed change with the install distance.

83. Accordingly the measurement, the negative friction may be expressed as a interpolation polynomial.

84. The total days frequency of heavy fog of each month presents the double-peak pattern. The polynomial regression analysis result indicates that the annual change of...

85. Because of NP-hard, we cannot find the polynomial algorithm which can achieve the best solution to the planning problem.

86. At present nearly all systems of polynomial manipulation are written by LISP or FORTRAN, and run on a serial computer.

87. The expressions of the chromatic function and the chromatic weight polynomial of a P-graph about a permutation group H are established, de Bruijn s Theorem follows from th.

88. The sixth part forecasts the future logistics demand of Shandong Province on the basis of one linear regression, polynomial regression, gray system G(1,1) model and combination forecast model.

89. Lastly, under the optimum condition the experiment results and those from the equation were fitted well, so it indicated that the second order polynomial equation was feasible.

90. Because only two points a straight decisions, and in between the two curves can be used an infinite number of cubic polynomial approximation.

91. Noting the above draw back, we generalize the polynomial method and chose a new polynomial.

92. Fitting orthogonal polynomial method for characterizing the functional relationship between the dry density and moisture content of earth-fill in standard compaction test is presented.

93. By discussing two different conditions of double-cycles graph, chromatic polynomial on double-cycles graph is solved.

94. A decentralized adaptive control scheme is presented for time varying systems polynomial approximation approach.

95. Independent Function system , between expansions on Independent Function system and Reed - Muller polynomial are discussed.

96. Some embedded inequalities of eigenfunction polynomials are presented and error transformations in polynomial approximation are dealt with by using Wu Xuemou's MSP Transforming Principle.

97. Finally, the experiment results compared with the BP neural network algorithm and polynomial matching algorithm show that the new model improves color conversion accuracy effectively.

98. The absolute values of the coefficients of any chromatic polynomial form a unimodal sequence.

99. On the basis of Chebyshev Polynomial approximation method, a new method to design worn profile tread is proposed by this paper.

100. The transport problem with fixed charge is a kind of NP problem, and there is no polynomial algorithm which can solve it.http:///polynomial.html

101. For behavioral model approaches, polynomial, or Volterra series for memory, is the most common function which is used to fit nonlinearity of power amplifiers.

102. Because the most scheduling problem is NP hard, it is impossible to find out common algorithm with polynomial complexity.

103. The second-order polynomial was used to fit the non-uniform background based on least squares theory.

104. The formulas that used in the iterative procedure are build by means of the distribution of the roots of polynomial equation on the plane, and therefore the generating images are designed in advance.

105. An algorithm with polynomial complexity was presented to generate the public part of the process from its private one.

106. An analytical expression for determining of singularity configuration which is a polynomial equation is set, and the numeric symbolic manipulating technique is introduced.

107. An indirect method is used to study bifurcations of limit cycles at infinity for a class of seventh-order polynomial differential system.

108. We have build the multivariate orthogonal polynomial regression forecasting model of the economical effect on winter wheat production.

109. This note shows that when studying geometric properties, a polynomial system is defined as a line field on a projective space such that its singular set has co dimension at least 2.

110. The approach starts from an analysis of spherical harmonics and finds out a quadratic polynomial form of environment mapping.

111. The FPT algorithm of multi-variable polynomial multiplication in detail was discussed the case of two-variable.

112. According to real tested data, it builds up CVC cambering curve equation by polynomial regression. This paper discusses practical significance of the equation.

113. HMO characteristic polynomial and select eigenvalues for many heterocyclic benzenoids are calculated by using chemical graph theory methods.

114. The method with computation complexity of polynomial order, has been successfully applied to the real-time analysis of signals in mobile ECG telemonitoring systems.

115. Eigenvalue method is one of the fundamental Methods: That solve polynomial system.

116. The polynomials are derived from an original polynomial, which defines a feedback function of a linear feedback shift register capable for generating the pseudo random number.

117. A polynomial algorithm to find the maximum induced forest of a strongly chordal graph is given.

118. Quadratic polynomial curve-fit was used to build the non-linear relationship among the total corrosion volume, pitting number, diameter-depth ratio and shape factor and the max pitting depth.

119. A method of standardization GPS satellite orbits using trigonometric polynomial function is put forward in this paper.

120. When the determinant is expanded, it produces a polynomial, called the characteristic polynomial.

121. The use of the elementary transformation matrix discussed the one yuan polynomial greatest factormatrix law.

122. By using qualitative classical theory of ordinary differential equation, a class of planar quintic polynomial differential system is qualitatively analyzed.

123. The problem of perfect sorting by reversals and deletions was considered, and one kind of polynomial algorithm was given.

124. With trusted centre and the polynomial of degree Z, a new forward-secure threshold scheme is presented. The key updating algorithm is very simple.

125. Finally, a polynomial - time algorithm to find the candidate key whose cardinality is M is given.

126. It is shown that such model is optimal for matched outputs in the sense of integral-square-error criterion subject to an Impulse input and also without steady-state output error for polynomial inputs.

127. At the second correction step, a parametric method based on piecewise polynomial phase model is exploited to eliminate the residual contamination.

128. This paper presents a polynomial time greedy algorithm and a compound algorithm that combines the greedy policy with the branch-and-bound strategy in a uniform framework.

129. Nonlinear multiple regression model on the structure activity relationship of ternary dissymmetric organic phosphate insecticide is obtained by quadratic polynomial stepwise regression method.

130. B - splines are piecewise polynomial curves that have a parametric representation.

131. First,[http:///polynomial.html] a polynomial scaling factor is introduced and a space deformation matrix is constructed.

132. Polynomial time approximation schemes ( PTASs ) for both the undirected and the directed cases are presented.

133. Based on polynomial interpolation to improve the sub-pixel subdivision algorithm.

134. In this paper, algorithms for computing 2-D circular convolution by using Fast Polynomial Transform (FPT) are reviewed and discussed, and then an improved algorithm is presented.

135. Polynomial curve fitting with a least-square calculation is used to avoid difficulties for obtaining the structure information before damaged.

136. In the programming for finding the eigenvalues of the companion matrix of the characteristic polynomial equation, a new balancing transformation technique is developed.

137. The formula manipulation by a computer will eventually result in a polynomial manipulation.

138. The approaches are presented for constructing orthogonal polynomial filter and matrix CQFs.

139. The use of the elementary transformation matrix discussed the one yuan polynomial greatest common factor the matrix law.

140. Aiming at solving real roots of unitary real coefficients polynomial equation, a practical numeric solution is put forward .

141. A new algorithm by use of quadratic polynomial is proposed to reconstruct inrush, and the corresponding sampling rate is determined.

142. The polynomial regression based on the constant-pressure filtration rate equation has been presented to handle the experimental data and compared with the methods in literature through an example.

143. Table 6 presents the value of the parameters of the Legendre polynomial and the pertinent consistency statistics.

144. Polynomial, transcendental function, new quadratic curve, B-spline and NURBS have been used in expression of hull molded line, trapezoidal method, Simpson method have been used in static calculation.

145. An example about temperature sensor of platinum resistance is given to show the details of polynomial interpolation.

146. The dynamical equation of a two - dimensional airfoil with polynomial hysteresis nonlinearity is built in incompressible flow.

147. Some applications of the fast Fourier transform to the polynomial calculation.

148. In the paper, the quadratic polynomial function smoothing-method is used to smooth the sampling data, which is proved to be effective in filtering the high frequency noise.

149. If the algorithm is running on the algorithm's input the length of the polynomial, generally is considered to be a good algorithm.

150. Regression analysis includes linear, polynomial and exponential curve fitting, plotting, and interpolation.

151. Methods of exploring the real number roots of a real coefficient polynomial are procedurally given.

152. This paper presents a strongly polynomial algorithm for a class of linear programming problems.

153. A new data - processing method for gyro orientation , the trigonometric polynomial fitting method, has been put forward.

154. By using low Hamming weight polynomial product, some polynomial convolution's speed can be raised by 2 times.

155. This paper illustrates the calculation process of this method through the general procedures and examples in solving questions of conditional extremum of polynomial function.

156. The polynomial method can evaluate the linear degree of the laboratorial methods using statistical theory and considering clinical significance.

157. In this paper, we discuss the locally topological structures of nonlinear homogeneous systems with one zero characteristic root, and give a criteria by the right-hand polynomial coefficients.

158. Furthermore, the integer programming method is exploited as the mathematical tool for the generation of a polynomial algorithm producing the optimal set elementary siphons.

159. In this thesis, the design and FPGA implementation result of a finite field polynomial multiplier is presented, whose arithmetic architecture is based on the number theoretic transform.

160. In this paper we analyze the relation of some special domains and its monadic polynomial rings.

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

161. This method uses one-rank higher polynomial interpolation for displacement than that for pore water pressure, but the rank of radial basis for them is the same.

162. How to prove the coefficients of the chromatic polynomial alternate signs?

163. Based on the polynomial blending function, a kind of blending function-blending function class and a new type blending function-rational one are deduced.

164. The three-dimension curved surface and the corresponding two-order polynomial equation were obtained through the simulation and regression analysis of numerical results by MATLAB and SPSS software.

165. The author proposes a sectional line fitting to re- place the polynomial curve fitting, which results in simplifying establishment of mathematical model and reducing the amount of calculation work.

166. The comparison results show that the least square polynomial fit method can make the calibration more precise.

167. The parameters of polynomial equation for fitting the experimental results are also reported.

168. Generalized polynomial identity theory is an important branch in ring theory.

169. With the best polynomial approximation as a metric, the rate of approximation of the neural networks with single hidden layer to a continuous function is estimated by using a constructive approach.

170. By comparing the results for the linear function and cubic polynomial function and the convergences of eigenvalue.

171. In inversion, the slowness at points on ray path can be calculated by using three order polynomial primary function.

172. In this paper, the complexity of optimum-solution schedule arrangement algorithm is polynomial degree by using greedy method.

173. No-wait flow shop problem is one of flow shop problems, and is a typically NP-complete problem, which means that it is impossible to find the global optimum in polynomial complexity.

174. This algorithm can simplify the data association and has polynomial complexity.

175. At last, a model example is supplied by the finite element method which is combined by variation principle and piecewise polynomial interpolation.

176. This approach can guarantee that the identified parameters are optimal, by solving a one-dimensional polynomial equation instead of a nonlinear least square problem.

177. The applied interpolation method adopts quintic spline and derivatives generation approach for discrete points by using quartic polynomial, which can better meet the needs of high-accuracy machining.

178. The polynomial regression showed that the change range of pigment gland density was more wide in hybrid population, our aim was to look for good plant by selecting hybrid.

179. There are two kinds of method to calculate the eigenvalues of a matrix:characteristic polynomial method and QR method.

180. The numerical calculation resuits are oftained by means of approximate polynomial expression for Thomson's function.

181. In this paper, the author presents a method of Chebyshev approximate polynomial for analysing nonlinear circuit as well as an example of its computer realization.

182. It is proved that the complexity of the algorithm is the polynomial function of the scale of the system. A practical example is shown lastly.

183. The pressure can be fitted to time by cube polynomial equation.

184. In this paper a simplified recursion formula of discretization orthogonal polynomial in the case of uniform step is presented.

185. Propagation error for each gage can be expressed as polynomial of time and the highest power of polynomial ism-1, which mis the number of gages.

186. Understand the degree of polynomial approximation and the effective range with the polynomial fitting order of any changes.

187. In this method, the description is a bivariate interpolation polynomial, ISM method is used to select key input variables, and the structure of original method is Simplified.

188. The multi-element orthogonal polynomial regression is used for traditional optimization technique of parametric optimum design,[http:///polynomial.html] and the experimental research is done by some experiential formula.

189. Polynomial algorithm and branch and bound algorithms are given for different number of job groups whose processing set contain both machines.

190. After data preprocessing a regression model between calorific and ash content was founded by polynomial regression.

191. Based on the functions, a method of generating piecewise polynomial curves with a shape parameter is given.

192. And the method of the polynomial interpolation for sub-pixel edge measure was also studied elementarily.

193. Finally, based on the theorem, a polynomial 2 - approximation algorithm for the location problem is presented.

194. A mathematical model for sliding window polynomial fitting is proposed.

195. The separated theorem is proved for constructing the functions and polynomial equation, the error formula for the construction function is also obtained.

196. A polynomial function supervising PID control method is proposed, which is based on Genetic Algorithms (GAs) for real-time control process.

197. The improvement of the accuracy is obtained by increasing the order of the polynomial interpolation when the shape of the element does not change.

198. We will also find a sort of planar graphs whose number is equal to 4. We will also give the chromatic polynomial of complete -partite graphs and get a combinatory formula.

199. The polynomial approximation method is proposed to obtain initial value of filter, and this approximation method can be used to realize scanning trajectory estimation.

200. In the last the concept of irrelative sets and its application in the computation of polynomial order are given.

201. Enlighened by the superposed algorithm of two element polynomial interpolation, we present a simple method of finding rational interpolation functions.

202. The polynomial fit smooth sample (PFSS) method is given in this paper. The PFSS synchronizes tape reading, smoothing and sampling.

203. Distributed loadis regarded as polynomial function or uniformly distributed moment alh ng the edge.

204. The fact that it is impossible to find the global optimum in polynomial complexity has been proved.

205. Methods It is discussed by nonparametric piecewise polynomial estimation and least squares estimation.

206. However, due to the complex of computation and the need of the design, sometime we need to use polynomial approximation for a rational curves and surfaces.