查询词典 synthetic geometry

Immanuel Kant argued that there is only one, absolute , geometry, which is known to be true a priori by an inner faculty of mind: Euclidean geometry was synthetic a priori .

康德认为，只有一个，绝对的，几何，这是众所周知的事实的先验的内在系铭记：欧几里德几何是合成先验。

According to present research status at home and abroad, the inversion problems of structure is resolved so successful in the region of pull-apart structure, there have many theory model, whereas, some special cases should be discussed, for example synthetic and antithetic faults form during rollover deformation in the hanging wall, these subsidiary faults share part of the cumulative extension in a listric fault system and may influence predictions of the major fault geometry.

从目前国内外在构造反演这一问题的研究现状来看，在拉张构造区域，反演问题在理论上有比较多的模拟解决办法，并且应用的相当成功，不过考虑到有些特殊的情况，比如逆牵引构造所派生的次级断裂会造成反演计算结果的不准确，因此对现存的反演模型稍微做出了点修改，使之更能广泛的应用于实际的构造解释。

Another simple synthetic proof of finiteness of areas of asymptotic triangles in non-Euclidean geometry is given.

给出双曲非欧几何中极限三角形面积有限性的另外一种简单证明。

In IBR (image-based rendering) application, we introduce homotopy mapping into view interpolation based on uncalibrated images, and present three forms of perspective homotopic transform according to different conditions.①The linear interpolation technique presented only preserves perspective geometry, but the intrinsic and extrinsic parameters of camera are changed. For the uncalibrated images, its application is restricted.②The view interpolation presented for rotational uncalibrated images can preserve both perspective geometry and the intrinsic parameters of camera, and the view position can be controlled. At meanwhile, the image registration method and panoramic images synthetic method is presented.

3在基于图象的绘制技术方面，将同伦变换引入视图插补中，针对未标定图象序列，并根据以下三种情况给出相应的透视同伦变换，①只保证符合透视关系，而摄象机内外参数均已改变的线性插补技术，对于标定图象序列，这种插补技术是非约束的，而对于未标定图象序列则只适合于某些特殊场景；②旋转图象序列的视图插补技术，同时给出了旋转图象序列的整合及全景图生成方法；③通过对非约束图象的预校正，完成平移情况下的视点插补。

There were many champions of synthetic geometry , Euclid-style development of projective geometry, in the nineteenth century, Jakob Steiner being a particularly brilliant figure.

该模型的欧几里得的要素，发展的几何连接作为一个不言自明的制度，是在紧张与笛卡尔的减少几何代数通过坐标系统。

The synthetic geometers were developing projective geometry.

综合几何学家们在发展射影几何学。

It is necessary to find the effects of spherical geometry on surface wave; Based on normal modal summation, the synthetic seismograms corresponding to the fundamental and few higher modes are calculated; Based on surface waveform scattering theory, the scattering surface wave are calculated for three dimensional laterally varying medium.

基于球地球模型计算面波波形，考虑到地球的圆球率，比平地球模型更接近实际；根据简正振型叠加原理计算出基阶和高阶直达面波；用面波散射理论计算出三维非均匀弹性地球模型的散射面波，包含振型转换，与实际更吻合。

Computational synthetic geometry is now a branch of computer algebra .

相反，这种办法对于几何作为一个封闭的系统，最终在Hilbert的公理，被视为重要的教学价值，最现代的几何形状是一个风格。

Secondly, the author has set up the Factor Set, Factor Weight Set, Evaluation Set and Evaluation Matrix based on the Fuzzy Mathematics, therefore the quantification of expert's experiences is solved. Following the example of product design procedure consisting of designing, collating and checking, the Two-stage Fuzzy Synthetic Evaluation has been established in order to supply the evaluating method of design quality for drawing die-face. After two times of eligible analysis above, the synthetic optimizing design of geometry, material and process can be done with simulation.

以模糊数学为基础，通过确定影响覆盖件拉延模型面设计的因素集、因素权重集、备择集和评判矩阵，解决了专家设计经验知识的量化问题，并建立二级模糊综合评判方法，据此设计、校对、审核等技术人员可以共同对拉延模型面设计质量进行优劣评判和修改；在前面二次分析合格的基础上，利用有限元仿真技术进行几何、材料、工艺多因素综合的优化设计。

Results The four main mathematical branches in 17th century are considered roundly in the general view: analytic geometry,calculus,algebra and synthetic geometry.

结果17世纪数学形成四大分支———解析几何、微积分、代数和综合几何。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！