单射

We systemically discuss how to uniquely decide an infinite plane homography matrix by using the structure information in scene and how to evaluate a homography matrix which convert affine reconstruction to Euclidean reconstruction by solving absolute conic images.

系统地讨论了如何利用场景中的结构信息，来唯一地确定无穷远平面的单应矩阵，进而由射影重构恢复仿射重构，以及如何通过绝对二次曲线的像求解将仿射重构变换为欧氏重构的单应矩阵。

Next, we discuss the relations between left quasi-dual bimodules and left dual-bimodules, we obtain that a left quasi-dual bimodule is a left dual bimodule if it satisfies one of the following conditions: sM is minimal injective and MR is a M-minimal injective kasch-module; MR is a M-minimal injective kasch-module and for any two ideals LI and L2 ofSS rM(L1 n L2)-rw(L1)+rM(I2); sM is minimal injective and for any two submodules A and B of MR,Lastly, we applicate the quasi-duality on smash product algebra R#H, and obtain an answer of the semiprime problem, i.e., let H be a finite-dimensional semisimple Hopf algebra and R be an H-module algebra, if R is left quasi-dual and semiprime, then R#H is semiprime.

我们得到：一个左拟对偶双边模如果满足下列条件之一，则它将成为一个左对偶双边模：_sM是单内射的并且M_R是一个M-单内射kasch-模；M_R是一个M-单内射kasch-模并且对_sS的任意两个理想，有r_M(L_1∩L_2)=r_M(L_1)+r_M(L_2)；_sM是单内射的且对M_R的任意两个子模，有l_s=l_s+l_s。2 在第2.3节中我们将拟对偶性应用于smash积代数R#H，部分解决了半素问题。

A rigorous coupled wave theory for the Bragg diffraction of a Gaussian beam in the uniaxial crystal is derived and a group of rigorous coupled wave equations and diffraction efficiency formula are obtained in terms of the proper coordinate transformation and Riemann method .

利用适当的坐标变换和黎曼方法建立了高斯光束在单轴晶体中布拉格衍射的严格的耦合波理论，获得了一组严格的耦合波方程和衍射效率计算公式，讨论了衍射效率随折射率调制量的关系以及波长选择性和角度选择性，同时分析了衍射效率对再现光宽度的要求。

We firstly discuss minimal sets characterizations of closed-set lattice , then systematically study the categorical properties of categories CL and PairCL by the means of the join-semilattices closed-set-latticefies, and the constructions of monomorphism, epimor-phism, extremal monomorphism, extremal epimorphism, section, retraction, subob-ject, quotient object, product, co-product, equalizer, coequalizer, inverse limits and direct limits in the categories CL and PairCL are given.

首先讨论了闭集格的极小集刻划，然后通过并半格的闭集格化这种方法，较为系统地研究了范畴CL及范畴PairCL的性质，给出了范畴CL和范畴PairCL的单态射、满态射、极端单态射、极端满态射、截节、收缩、子对象、商对象、极端子对象、极端商对象等特殊态射和特殊对象的具体刻划，并且研究了它们的等化子和余等化子、乘积和余积、逆极限和定向极限的具体构造。

We firstly discuss minimal sets characterizations of closed-set lattice , then systematically study the categorical properties of categories CL and PairCL by the means of the join-semilattice's closed-set-latticefies, and the constructions of monomorphism, epimor-phism, extremal monomorphism, extremal epimorphism, section, retraction, subob-ject, quotient object, product, co-product, equalizer, coequalizer, inverse limits and direct limits in the categories CL and PairCL are given.

首先讨论了闭集格的极小集刻划，然后通过并半格的闭集格化这种方法，较为系统地研究了范畴CL及范畴PairCL的性质，给出了范畴CL和范畴PairCL的单态射、满态射、极端单态射、极端满态射、截节、收缩、子对象、商对象、极端子对象、极端商对象等特殊态射和特殊对象的具体刻划，并且研究了它们的等化子和余等化子、乘积和余积、逆极限和定向极限的具体构造。

We describe the idempotent elements of the semigroup of fuzy group matrixes by applying the concept of group.

我们首先刻划从Tn到Mn的保矩阵群逆的所有线性单射。

No lock, thrusting, single intromission, and single ejaculation) of Dewsbury's system and No.

属于Dewsbury提出的交配模式系统中的第11种（无锁结，有抽动，单次插入多次射精）和第12种（无锁结，有抽动，单次插入，单次射精）。

Both sufficient criteria are studied further in Chapter 4. It is proved that they are equivalent to the injection and surjection of some maps.

第四章研究了判别FA是弱可逆和弱逆的充分条件，证明这些条件与一类映射为单射或满射是等价的。

The MR protocol involved transverse, coronal, and sagittal noncontiguous T2-weighted single-shot fast spin-echo sequences; transverse fat-suppressed T2-weighted fast SE sequences; transverse T1-weighted gradient-recalled-echo sequences; and transverse and coronal short inversion time inversion-recovery sequences performed through the lower abdomen and pelvis.

MR计划包括于下腹部与骨盆位置执行的，横轴的、冠状的、矢壮轴的非连续T2加权单射快速环绕音波程序；横轴压抑脂肪讯号的T2加权快速SE程序；横轴T1加权梯度回复音波程序；以及横轴、冠状短程反向时间反向回复程序；由2位放射科医师评估MR结果，以及与外科及病理发现、临床追踪数据比较。

Special morphisms such as monomorphisms, epimorphisms, sections, retractions, extremal monomorphisms, extremal epimorphisms, constant morphisms, coconstant morphisms, zero morphisms and special objects such as initial objects, terminal objects and zero objects are studied and their characterization is obtained.

较为系统地讨论了范畴Quant的性质，考察了范畴Quant中单态射、满态射、截节、收缩、极端单态射、极端满态射、常值态射、余常值态射、零态射等特殊态射和始对象、终对象等特殊对象，给出了它们的具体刻划，得到了范畴Quant是良幂的，余良幂点化范畴。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。