1. The jumper has a geometrical pattern on it.

2. The building has intricate geometrical designs on several of the walls.

3. Seen from above, the fields looked like a geometrical pattern.

4. Population is increasing in that country in a geometrical progression.

5. My notes showed the mathematical and geometrical proofs.

6. But geometrical figures are not the only modes, and so are not the only things whose real essences we can know.

7. The rose designs were divided by tracery into geometrical and flowing shapes, instead of the radiating wheel spokes used before.

8. Further, in its geometrical solidity, what is physical is the unique occupant of its space.

9. Such a concentration of comparable geometrical forms can not be coincidental.

10. The strictly geometrical pattern of dance is still very important if the musical score retains a traditional structure.

11. The position bears comparison with the development of geometrical reasoning by Euclid.

12. Very simple geometrical forms exist in nature out there but most of them are ordinarily invisible to the naked eye.

13. Using geometrical considerations he could calculate the distance from Polheim to the pole.

14. The rays of geometrical optics are not unlike the particle trajectories of classical mechanics.

15. Geometrical topics include partitioning and mesh generation.

16. Geometrical theorems grew out of empirical methods.

17. The geometrical representation makes the abstract concept pictorial.

18. Geometrical is the basic feature of Tujia brocade pattern.

19. Some art forms schematise designs into geometrical patterns.

20. Euclid was trying to convey his idea of a geometrical point.

21. The landscape of straight roads, often unfenced, and of small geometrical plantations, is characteristic of this late period.

22. Or again, might not the last three discoveries listed be fragments of far more extensive geometrical work?

23. It is an architectural cathedral, long and low on the exterior with geometrical traceried windows and simple flying buttresses.

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

24. Actually, Gauss was not really the first to use a geometrical description of complex numbers.

25. What station-building remained was increasingly to reflect the functional, geometrical approach, stressing cubes and cylinders and glorying in reinforced concrete.

26. The staircase and walls are of white marble, with the addition of lapis lazuli for the geometrical floor pattern.

27. They are severely simple with tall towers and spires and lancet or geometrical window design.

28. In the second hotel I noted that the wallpaper, although of a strictly geometrical pattern, was upside-down.

29. The arms of the saltire are each split into four triangular fields, and carry a variety of geometrical and floral motif.

30. The decorative scheme incorporates portrait Roman heads, animals, birds, fishes and Roman geometrical decorative forms.

1. The jumper has a geometrical pattern on it.

2. The building has intricate geometrical designs on several of the walls.

3. Population is increasing in that country in a geometrical progression.

31. Based on the theory of acoustics, this paper analyzes the character of geometrical spreading loss of finite line sound source on three types of directivity-monopole, intermediate pole and dipole.

32. Based on geometrical optics, plane layered model and sphere layered model are used to analyze the laser transmission path and the declination angle from direct path.

33. To solve the nonlinear problem, such as material nonlinearity and geometrical nonlinearity, incremental method was used.

34. Wave optics, however, tells us that no sharp shadows can exist , since some of the light does reach into the geometrical shadow region.

35. With CD40 lubricating oil as work medium, under the engine cooling system work conditions, 21 geometrical schemes of stainless steel offset strip fins were studied.

36. For infrared optical systems a point spread function is calculated in terms of the spot diagram obtained through geometrical ray trace or the theory of Kirchhoff diffraction.

37. Object location is defined as coming up with three-dimensional coordinate expression through binocular vision model analysis using geometrical relationship.

38. An aircraft servo loop is designed from the variable structure system (VSS) theory with a detailed procedure of a controller design and an intuitively geometrical sense of the design method .

39. The formula of straightness error of the machined surface was also founded through geometrical analysis.

40. While the appearance of K anisotropy alone the microcrack front along with its physical significance and geometrical connotation is a great challenge to traditional conception and compute method of K.

41. A set of formulas are deduced form the geometrical relationship of iceland spar.

42. The geometrical structure is used to analyze homograph quantitatively, the fine discrimination between planar objects can be shown.

43. Mine fault network is a fractal system with statistic self-similarity. Its complexity degree can be quantitatively evaluated using fractal dimension that can describe geometrical irregularity.

44. Firstly, according to iris is a kind of cirque, algorithm based on geometrical feature is used to locate outer boundary of iris cursorily.

45. It simulates the tube bundle, folding plate and other geometrical forms with multi orifices and distributed resistance.

46. A hybrid technique for combining moment methods (MM) with the uniform geometrical theory of diffraction (UTD) was employed to calculate the radiation pattern of the aircraft antenna.

47. In order to improve the speedway road inspecting instrument, a new inspecting system based on geometrical op- tics triangulation and using no-linearity noise filter is presented.

48. A theoretic formula on how to change the geometrical shape of a magnet and augment the range of uniform magnetic field is brought forward in this paper by simulation.

49. This article brings to Light the internal relations and difference between single pitch diameter and actual pitch diameter by means of geometrical analysis of several parameters of pitch diameter.

50. Based on Fermat's theorem, the law of reflection and refraction is obtained, and the geometrical ray tracing method of reflected light is introduced.

51. The precise geometrical shape of the glass makes wine taster enjoy most of the mellow aroma of the wine with least wine set.

52. In the past twenty years, owing to the discovery of Berry's geometrical phase in 1984 , a lot of efforts have been made on quantal adiabatic theorem and geometrical phase .

53. Geometry texture is constituted by anomalous small bumpiness, it lies in microcosmic geometrical form.

54. The laws of the ultimate capacity ratio of K-joints and KK joints (namely multiplanar coefficient) varying with the main geometrical parameters were obtained.

55. The limit pressure angle is related to such factors as offset angle, mean spiral angle, pitch cone angle and mean pitch cone diameter, not to geometrical shape of the tooth surface.

56. In the second topic, we propose and demonstrate a geometrical arrangement for free of pixel-misregistration during readout process with the rotation of disc to reduce the bit-error rate.

57. The geometrical parameter measurement is one of the most important research subject of metrology.

58. The cross-section design according to the invention allows the geometrical moment of inertia to be substantially increased as compared to conventional cross-section designs.

59. Housetop is Shuang Liang, abound geometrical aesthetic feeling, 5 grille and secure 5 horn glazing to facing surfy sea.

60. The geometrical model of high resolution satellite image is foundation to image processing.

61. This paper tells us the conceive plan about effective management according to thematic data. geometrical data and topological data which is based on the theory of Object Oriented Database.

62. In this thesis, we aim at solving the geometrical representation of some anomalistic objects. We try to combine the realistic representation and real-time control of the virtual natural scenes.

63. Geometrical deformation of 2 - D temperature distribution during shot sleeve working is simulated by ABAQUS software.

64. Therefore a mesh has four basic characteristics: geometrical property, topological structure, physical property and time - varying property.

65. The geometrical parameters of a screw bolt are important factors that affect the fatigue strength of the bolted joints.

66. Geometrical Theory of Diffraction is a fundamental algorithm in electromagnetic radiating and scattering, and programming is a key step for its application.

67. The fractal picture is elegancy and singularity, and has obvious geometrical meaning.

68. Not all geometrical magnitudes of the same kind are commensurable with one another.

69. It is shown that the stabile regions nearby bifurcation point have relations with the angle of bedding slop, the material of rock mass and the geometrical properties.

70. The complicated geometrical relations between the disk and are solved by using chimera grid technique.

71. In gravimetry and levelling observations. there exist the important information of gravity field and vertical component of geometrical position.

72. In this paper, the first order approximation theory of dynamic logging is obtained by using the geometrical factor theory in downhole condition and RC network theory.

73. A 3D-FEM method for analysis on stability of underground bifurcated pipe, with geometrical imperfection and initial gap between concrete liner, is introduced.

74. Then the effects of the voxel size , the geometrical mapping of the projection matrix and the ratio of detector size to imaging object size , on the spatial resolution were discussed.

75. Curves of axial temperature affected by different inlet press and geometrical structures of vortex chamber were drawn according to the measuring results.

76. The perfectly geometrical simulation module model of warship wake was established.

77. The analytic solution equation can provide a useful geometrical model and a new calculation way to design and manufacture the unfolding roller (or carrier roll)or the superfinishing machine roll.

78. Characteristic: High open area, good toughness, elasticity and precise plate making etc. , Used in printing fine line, pattern, geometrical design, half tone, etc for rotary printing machine.

79. The Fresnel integral can be computed on the basis of geometrical properties of Cornu spiral.

80. On the basis of equilibrated geometrical structure obtained by B3LYP/6-311G method, the nucleophilicity of-N(CH3)2 and-NH2 groups are investigated by electrostatic potential and MO calculations.

81. The specular reflection is a very important linear transformation in Euclidean space, and it has a special geometrical explanation in geometrical space.

82. Its complexity degree can be quantitatively evaluated using fractal dimension that can describe geometrical irregularity.

83. Tangram is a toy comprised of many geometrical pieces that can be put together.

84. The greater temperature field change usually occurred at the place with geometrical change.

85. The result shows there are great influences of geometrical properties of cutter path on the kinematics and dynamics of a machine...

86. Objective: To study the effects of geometrical isomerisation on singlet-oxygen quenching by lycopene in vitro.

87. The versatile cable - stayed bridge concept lends itself to a large variety of geometrical configurations.

88. This paper deals with the principle and method of inspection on the geometrical undeformability of planer structures by poleless velocity diagram.

89. The geometrical similarity law in cross section was satisfied for the aluminum extruded tubes with a double hollow section.

90. Combined with the topographic and physiognomic maps of natural terrains, a 3-D model which generates the geometrical structures of complex terrain,() has been developed.

91. Using conventional processing software to removing stripes, detail texture of images can be removed, and geometrical resolution of images is also reduced.

92. Based on inclusion exclusion principle of set theory, a new algorithm to calculate the whole projective area was put forward to those overlapped complex geometrical objects in any direction.

93. Objective Basing on the need of cockpit ergonomic design, to set up a geometrical dummy.

94. The internal forces in tensile membrane structures were analyzed using geometrical nonlinear finite element theory using curved quadrilateral isoperimetric 8 node elements.

95. In the geometrical figures of equilateral triangles or scalene triangles, the semantic view, pragmatic view and cognitive theory view have played a profound and catalytic function.

96. In this paper, we integrate the basic principle of geometrical acoustics, the computer technique and the theory of signal processing to design a combined auralization and visualization system (CAVS).

97. Meanwhile, due to the utilization of information on refractive index distribution, geometrical distortions usually observed in conventional OCT images are avoided in the PICT image.

98. How to on-line monitor geometrical error for large high precise cylindrical workpieces was a key research project.

99. The result shows there are great influences of geometrical properties of cutter path on the kinematics and dynamics of a machine tool.

100. Based on results, the geometrical asymmetry shell has obvious effect about reducing noise in large range of frequencies, and change radius of curvature can increase eigenfrequency obviously.

101. The geometrical concept is to make a lot of parallel lines of the imaginary axis in the complex plane, and to decide the points which satisfy both the root loci and the parallel lines by the computer.

102. The geometrical model is a two-dimensional blunt body, with uniform magnetic field distribution.

103. It is necessary to extract molten pool geometrical parameters in real time or to extract back bead width off-line either in seam tracking or in penetration control.

104. This paper presents a new method of drawing perspective shade and shadow in parallel rays, which makes use of plane trace and geometrical drawing method.

105. Geometrical optics is the first foundational course for the students of optical engineering specialty.

106. Nondeterminacy relation's reasoning between geometrical bodies in the geometrical space is the main research direction of spatial reasoning.

107. Methods X-ray dental film and panoramic pantomogram were used to determine the location of embedded supernumerary teeth on bases of the geometrical principle of X-ray photography.

108. Based on the equation of action line for cycloidal pump, a geometrical mathematical model is built to solve instantaneous flow, displacement, average flow and the pulsation of the pump.

109. Total stylist Deng Xiaoping designs " economy is expressed " in the geometrical progression that actually perforative move has Chinese characteristic one group arithmetical progression .

110. The improved arc - length in this paper is applicable for geometrical non - linear analysis of general structures.

111. Appearance respect has similar Olympic Games of 5 annulus about, have seem lightning formative, still have geometrical body, serpent shape, mussel shape, rope shape, fan shape, meshy etc.

112. The Acropolis shows a maturity of Greek mathematics and also an appreciation of geometrical ideas.

113. To consider this possibility, Agrillo repeated his mosquitofish tests, this time using geometrical shapes of varying size and brightness in place of their shoal-mates.

113. Wish you can benefit from our online sentence dictionary and make progress day by day!

114. At last a pattern classifier based on BP neural network is designed to recognize different cracks according to the geometrical shape differences of different cracks.

115. For inspecting topological and geometrical unanimity of a solid model, principle of closed path topology and Euler′s formula are important tools.

116. The stability calculation has three parts, including static calculation, linear buckling analysis and geometrical nonlinear stability analysis.

117. Finally, two-dimensional wave-motion equations of the finite deformation elastic rod are derived by variation principle taking simultaneously geometrical and physical nonlinearity into consideration.

118. Ray path tracing is a key step to apply geometrical theory of diffraction in solving the problems of high frequency electromagnetic scattering and radiating.

119. Numerical results show this method is capable of matching the geometrical characteristics of images and has better steerability as well as reconstruction result.

120. Geometrical optics approach can only calculate the high frequency approach solution of drilling bit vibration source wave equation in non caustic area but it become invalid in caustic area.

121. Designs a method to ensure the precision considering the geometrical boundary characteristic of structure in automatic mesh division.

122. The geometrical model built in the scale of representative volume unit is wildly applied and is justified by mechanical experiment.

123. The light scattering characteristics of particles in phase Doppler sizing anemometry is calculated with a theoretical model based on geometrical optics approach.

124. Before Mandelbrot developed his theories, mathematicians dismissed efforts to understand objects like clouds and coastlines in geometrical terms as "monstrous" and "pathological."

125. Organism unsmooth theory in geometrical morphology is introduced first, and laser texturing techniques applied in increasing roll surface wearability is also described.

126. The paper expatiates the influence of the following factors towards the service life of tooth such as load, geometrical form of the contact point, sliding velocity and the thickness of oil layer.

127. The gross geometrical parameters, physical parameters and biomechanical parameters of femur diaphysis were measured.

128. Grassmann's exposition was almost inextricably bound up with geometrical ideas.

129. It uses these distances to accurately determine its position, by a geometrical process called triangulation.

130. On the other hand , the moderate temperature Hot Isostatic Pressing was used cure the geometrical damage.

131. The main research about its is geometrical relation's deducible method and condition between line units of which graphics unit consists.

132. In this paper, geometrical lookup table with interpolation color space transformation ( CMYK to CIELab ).

133. Based on the geometrical relation between tappets and cams, uniform formulas for mutual lift-range transition between flat based tappet, roller(or sphere)tappet and cone tappet were presented.

134. You can set the type of the geometrical projection and use Elevation, Azimuth and Tilt controls to compensate geometrical distortions.

135. Anticline and syncline, geometrical elements of fold, description and recognition of fold in the field.

136. This paper divides the equilibrium state of unstable system into two state:one is geometrical stable equilibrium state, the other is elastic stable equilibrium state.

137. Geometrical Theory of Diffraction(GTD) is a fundamental algorithm in electromagnetic radiating and scattering, and programming is a key step for its application.

138. By the method of Computer Aided Geometrical Design(CAGD), with computer graphics technology, the curves of load factor for tray tower are scanned into raster presentation.

139. This paper was based on the theory of indexing cam, applied the theory of engagement of plane conjugate curve, established the geometrical model of plane cam reducing mechanism.

140. A geometrical expressive method of the machine-readable data concerning number axis is introduced, and with this method, the question of overflow related to complement arithmetic is analyzed.

141. Two types of laboratory simulations, i. e. Hertzian simulation and Geometrical simulation, are discussed in comparison along with the IIT-GMEMD Wheel Rail Simulation Facility.

142. Based on the geometrical nonlinear finite element (GNFE) theory, a curved quadrilateral isoperimetric element with 8 nodes for initial form analysis of tensile membrane structures is presented.

143. From the geometrical representation of the phase function( ), it is pointed out that the thermodynamic phase equilibrium diagram is in essence a projection diagram of phase function.

144. The geometrical parameter measurement has been an important part of metrology.

145. The geometrical parameters of individual leaves of variable rate leaf spring affect not only the rate and the stress distribution of the spring but also the variable rate range.

146. Good knowledge in GPS ( geometrical production specification ) and can read mechanical part and assembly drawing.

147. The geometrical approximation theory of evaluating geometrical errors is put forward and modeled.

148. At last , the writer joins the contents of plain vector and trigonometric function together , and make further discussion about how to solve the geometrical problems by using plain vector.

149. The 1980 s geometrical logos have come back in fullforce tocontradict minimalism, under - design , and common sensesimplicity.

150. The transmission condition of complex geometrical boundaries in transversely isotropic media is presented based on character.

151. Because problem of granitic geometrical dimension, chromatism is natural reason, masty .

152. Effect gas inlet pressure, geometrical de - sign and relative position of metal delivery tube, atomization gas, etc.

153. It recommends that the calculation of geometrical spreading loss of running trains noise adopt the theories calculation formula or the simplified formula of directional characteristic of dipole.

154. At last, this paper analysis the advances of this model compared with the geometrical optical method and the methods to generalize it in the case of oblique incidence.

155. Then, the geometrical model is changed to the mathematical model, and the relationship among the parameters of the chamfering shape and the tool adjustment is analyzed quantitatively.

156. The 7th order geometrical aberration of rotationally symmetrical electron optic system and their expressions are given by using the eikonal method when the electric and magnetic fields exit.

157. In future we shall drop the adjective " geometrical " when there is no risk of confusion.

158. Furthermore, the geometrical shape which is defined by each of the pixels makes it an "impossible" true representation of perspective.

159. She describes Gerbert's geometrical speculations as "experimental" when the modern concept of experiment was alien to the medieval mind.

160. Arithmetical symbols are written diagrams and geometrical figures are graphical formulas.

161. The Theory of geometrical diffraction is used to analyze the effect of municipal high building structure on the radiation pattern of the 8th channel transmitting antenna of the Shanghai TV Station.

162. It is given a geometrical proof of an essential combinatorial lemma of Liao.

163. The Scctorial geometrical properties and the stress calculation formula of the thin box beam with different thicknesses are given in this paper.

164. The paper introduces in detail the material selection , machining technology and geometrical calculation of the lining for the groove of the headgear sheave .

165. The result shows the numerical simulation for resistance prediction provides an effetive support to the study on optimizing the geometrical characteristics of amphibious vehicle.

166. The reasonable ranges of the geometrical parameters are given by analyzing the influences of the vertex angle and cutting angle on impact force and penetration displacement.

167. The large annular cable-bar dome is a new type structure. In this paper, the geometrical nonlinear stability of this structure was studied for the practical engineering .

168. Based on the ring geometrical model, the calculation formulae of ring diameters were de rived and the relations between ring diameters, thickness and the rolling feeding amount were established.

169. The author explores the solution to the best time problem according to three ways of thinking, including basic trigonometric identity, geometrical optics of physics and Geometer's Sketchpad.

170. This is similar to projecting a two-dimensional geometrical point into a three-dimensional space: The value of such projection will be zero in one dimension.

171. At present, auralization software and research fruit based on geometrical acoustics can't solve problems above.

172. Usually mesh data are composed of mesh structure data and physical properties data. Furthermore mesh structure data include geometrical data and topological data.

173. This article analyses the theory of continuous bitmap image's geometrical transformation, and makes attempts in cartographic jointure,() dot character's stepless transformation on the basis of it.

174. Numerical results for midship section of a tanker are given and effect of the uncertainties on variability of the geometrical chara- cteristies of the section is investigated.

175. Symmetrical and rigorous adornment is indicating master style and position. Special distinctive headboard , under cover arses if in simple geometrical logo a certain obscure truth.

176. In addition, according to the geometrical relation, the equation for calculating the most suitable transition radius of carburized corner parts was deduced.

177. The results show that different subarray has different characteristics, especially the longest one, and can be explained by two dimension geometrical factor.

178. In contrast to other methods, method of NURBS with weights can describe quadratic curve accurately and can be adopted by technology of engineer, but its geometrical characteristics was not obvious.

179. Heron also translated much of the Greek geometrical algebra into arithmetic and algebraic processes.

180. The method of fault geometrical parameter that to bring about tectonic deformation through known deformation characteristic is go by the name of structure inversion.

181. This paper analyses the geometrical character of curve of edge of form milling cutter, and infers the mathematical equations of curve, The center coordinates of conical button-shaped are evaluated.

182. Indeed, Minimal Art as a consolidated strand seeks the essential through the use of simple, elementary geometrical structures as a formal vehicle, and through the absence of decorative elements.

183. The element free Galerkin method is applied into analysis of axisymmetric geometrical nonlinearities.

184. A calculation method for geometrical spreading loss is provided which is adapted to the characteristics of running trains noise.

185. Through geometrical analysis, the paper gives the mathematical models of the feasible area of effectual attack under two kinds of shooting patterns. The models meet the demand for combat flat to ...

186. A hybrid technique for combining moment methods(MoM) with the uniform geometrical theory of diffraction(UTD) was employed to calculate the radiation pattern of the aircraft antenna.

187. The minimum potential energy principle is used to prove that the balance of equal-tension geometrical nonlinear cables is achieved at the geodesic line when it slides freely on membrane surface.

188. Based on the effect of each functional element on the whole functional requirements of products, the 3-D dimension-chain is created, and 3-D dimensional and geometrical tolerance design is realized.

189. In this paper, for the joint rock mass with medial size and in-group crack, parameter identification of its geometrical damage model is studied by back analysis of in-situ measured displacement.

190. The party wall of the flat is very winding in his geometrical form.

191. The relativistic two stream amplifier (RTSA) is a kind of high power microwave device with simple geometrical structure and high efficiency.

192. Consequently,(/geometrical.html) it was found that a certain deformation zone length depending on the temperature distribution is necessary to satisfy the geometrical similarity law in cross section.

193. According to characters of geometrical shape and frictional force of steel ball, the practical mechanism with special function is designed by using steel ball composed of special construction.

194. In this paper, the author presents some geometrical drawing approaches by using mathematical analysis method, hoping that the approaches described would be useful to readers.

195. In contrast, the geometrical similarity law in cross section was not satisfied in some cases when the heating length is short according to the results of the FE simulation.

196. According to the geometrical data of a three-dimensional model, finish machining strategy with section plane method is adopted on the basis of the offset surface.

197. The corresponding generalized mass matrix depends on both the mass distribution and the geometrical constraint characteristics of the system.

198. Understandably the geometrical form is composed of straight lines, curves and circles. The natural form of latticework refers to those depicting flowers, birds, animals and sometimes human figures.

199. The method of LSPP developed has a generalized model applicable to geometrical error problems for various dimensions and types.

200. Then geometrical theory of diffraction method is used to analyze and compute diffractive field of the area except for offset paraboloidal antenna's front axis, and it is the difficulty of the paper.

201. Based on geometrical optics formulation, this paper deals with the problem of angle of arrival influence of reflected beam by a reflector, and derived the expression of angle of arrival variance.

202. This paper analyse the elements and linkage of geometrical proof and elementary geometric transformation.

203. The results show that when size effects occur, the interactions between projectiles and targets don t accord with geometrical similarity law.

204. Soil animals' cuticles have the geometrical unsmooth morphology universally, according to the research of the bionics.

205. Differential form was introduced into hydrostatics with geometrical viewpoint, the first mensural form of energetics was found.

206. Based on geometrical nonlinear finite element theory, a curved quadrilateral isoperimetric element with 8 nodes for initial form analysis of tensile membrane structures is presented.

207. Applying degenerate isoparametric element, this paper has studied geometrical nonlinear response of composite plates and shells.

208. Thus, the geometrical parameters can identified for the IRB140 robot. At last, it is proved that the absolute accuracy of the robot is highly improved after calibration by experiment.