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151. He initiated his pupils into the mysteries of the binomial theorem.

152. As far as the second eigenvalue problem was concerned, the expansion theorem was proved by the theory of completely continuous operator (compact operator).

153. Using the principal curvature formula, we prove an existence theorem of Weingarten hypersurface.

154. Based on those results , a theorem of equivalence about BPRE is established.

155. The representation theorem with order - extremal points is obtained for compact order - convex sets.

156. In this paper, the existence theorem of midpoint chord of quadratic curve, as well as its proof, is given via methods of projective geometry and polarity principle.

157. This paper presents a definition of imitative dual graph of outplane graphs, and proves the structural theorem on outplane graphs by using the nature of imitative dual graph of outplane graphs.

158. We study the argument distribution of infinite order meromorphic functions and obtain distribution theorem which combines the infinite order meromorphic functions with its derived function.

159. The theorem that the language set distinguished deterministic finite automaton is a recursively enumerable set was proved, and then, the recursiveness of regular language was analyzed.

160. The reciprocal theorem is applied to research on the bending problem of set square with free hypoteuse and a clamped edge under uniform loads, the accurate solution of this problem is given.

161. And a strong deviation theorem of discrete information sources is obtained.

162. We reprove the following theorem with a simpler means:Theorem: let A is the solvable algebra, then A is the local nilpotent algebra.

163. Balanced budget theorem can efficiently control the disburse of man-made resource—money.

164. Then the eigenvalue problem of free vibration of annular sector plates is transformed into the eigenvalue problem of integral equation by using superposition theorem.

165. Many valuable conclusions can be reached by adopting inframarginal analysis, introducing transaction efficiency[sentencedict.com], and conducting new analysis of Heckscher-Ohlin factor endowment theorem.

166. In the proof, an approach of applying the conditional moment generating function to the investigation of the strong limit theorem for gambling system is proposed.

167. By using the contain theory and partition theorem of symmetric matrix, three conjectures about YANG Hui matrix are cetified.

168. We now state the idea of the previous paragraph as a theorem.

169. The relation between the synchronization of clock rate and the zeroth law of thermodynamics, and the relation between the singularity theorem and the third law of thermodynamics are pointed out.

170. The cusp catastrophe model is established by means of the upper bound theorem of plastic limit theory for analyzing the stability of slope.

171. With the help of this theorem the algorithm of Boolean difference can be made more efficient and some of the computer memory space will be saved.

172. On the basis of overlap save method and circular convolution theorem in the DFT, by LMS algorithm,[sentencedict.com/theorem.html] formulas of LMS algorithm of the frequency-domain adaptive FIR digital filter are yielded.

173. The topologic structure and learning algorithm of the rough neural network are given, and the approximation theorem of the rough neural network is presented.

174. This paper gives a new proof method of decomposition theorem and a new form of upper band.

175. Can't Apply the Superposition Theorem for the Power of the Linear Time-Invariant Sinusoidal Steady State Circuit?

176. An extension of the reciprocity theorem in elasticity is made to be applicable to the static, self-gravitational elastic earth.

177. As application of generalized L - KKM type theorems, a nonempty intersection theorem is proved.

178. In this paper the JORDAN-HOLDER Theorem of transposition hyperlattice is introduced on the base of the closed set and regular of hyperlattice, and some related properties of them are also studied.

179. The solving processes to problems of four types on Newton's binomial theorem in the College Matriculation Examination are given.

180. A study of its property and determinant theorem is made.