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The homotopy continuation algorithm can solve non-linear equations without initial values,but lots of computation shall be done.Therefore,a new homotopic path-tracking algorithm based on Matlab and its function"\" is proposed using secant-prediction and Newton-correction.

由于同伦延拓算法不需要初始值就能求出非线性方程组的解，但计算量大，为此利用Matlab平台和它里面的函数"\"，采用割线预估和牛顿校正，提出了一种新的路径跟踪算法基于Matlab环境的同伦路径跟踪算法。

We generalize the concept of the set of variability defined in the unit diskby K.Strebel to general Riemann surfaces and prove that the set of variablity withrespect to the modulo homotopic class of a quasiconformal mapping between twoRiemann surfaces is a compact and connected subset.Consequently the num-ber of the extremal mappings in the modulo homotopic class of a quasiconformalmapping between two general Riemann surfaces is either one or infinity.

Strebel的定义在单位圆上的可变性集合的概念推广到一般Riemann曲面上去，并且证明了Riemann曲面之间的拟共形映射的模边同伦类所确定的可变性集合是一个连通的紧子集，从而得出一般Riemann曲面之间拟共形映射的模边同伦类中的极值映射要么唯一，要么有无穷多个。

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。

We establish an asymptotic Lipschitz homotopy invariance theorem for these K-homology groups and K-theory groups. We show that the asymptotic index maps are isomorphisms for the asymptotically scaleable spaces, which include Euclidean cones, simply connected complete Riemannian manifolds with nonpositive curvature.

我们证明了这些K-同调群和K-理论群具有渐近Lipschitz同伦不变性；对于渐近可标度的几何空间（包括欧氏锥、单连通非正曲率完备黎曼流形等），证明了渐近指标映射为同构。

Our previews study showed antifungal agents such as azoles and terbinafine enhanced a high frequency of homozygosis in the sub-MIC zone on PDA-phloxine B medium and homozygous strains with different mating types were isolated.

本实验室先前的研究中指出在Azole类药物、Terbinafine的压力刺激下，同型合子的opaque phase以高机率发生於PDA/phloxine B的抑制圈内，并分离出不同性别之同型合子菌株。

Treatable risk factors included anemia in 40% of patients, and elevated total plasma homocysteine or homozygosity for the t-MTHFR mutation in 21%.

可治疗的风险因子包括40%病患有贫血症，21%的人血浆中同型半胱氨酸升高或有t-MTHFR突变的同质性。

In white participants, the 1919T allele was associated with increased risk of stroke and cardioascular mortality, and in black participants, homozygosity for the 790T allele was associated with a fourfold increased risk of MI compared with homozygosity for the 790A allele.

在白人参与者中，1919T等位基因与中风和心血管病死亡率的危险增加有关，而在黑人参与者中，790T等位基因的同合子性比790A等位基因的同合子性与心肌梗死危险的关系高四倍。

The enzyme Ali 1 can differentiate and determine 54 different types of species, which most of the species are heterozygote and only 8 species are homozygote of a diploid.

由酵素Ali 1可确认54种地方种，都是二倍体的同质体或异质体，其中仅8种(大陆种有 6地方种、台湾有 2地方种)是同质体。

When Joseph saw Benjamin with them, he said to the steward of his house,"Take these men to my house, slaughter an animal and prepare dinner; they are to eat with me at noon."

约瑟见便雅悯和他们同来，就对家宰说，将这些人领到屋里。要宰杀牲畜，预备筵席，因为晌午这些人同我吃饭。

A historian of the time, Roger of Hoveden said they "ate from the same dish and at night slept in one bed" and had a "passionate love between them".

当时的一位历史学家，罗杰说他们"同食同寝"并且"打得火热"。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。