The waves should be sheared waves for the anisotropic aeo device and longitudinal waves for the isotropic aeo device . geometrical relationships of anisotropic acousto - optic effect in ln crystal and kdp crystals are studied by tangent - match condition . curves of incident angle vs . abaxial angle , diffractive angle vs . abaxial angle , extreme frequency vs . abaxial angle and acousto - optic merit vs . incident angle vs . abaxial angle are systematically gained and the design parameters are also calculated 利用相切-匹配条件法研究了铌酸锂晶体及kdp晶体的反常声光互作用几何关系,系统地得到了以离轴角为自变量的各参数的计算公式及相应的关系曲线,通过数值分析方法给出了声光优值随中心频率的变化曲线并给出了器件的设计参数。
The class acquisition of expression mode semantics , projection relationship semantics and dimension constraint semantics , and integration acquisition technology of tangency combined relationship , interpenetrate combined relationship and intersected combined relationship are emphatically introduced , which lay the foundation for further primitive recognition 重点介绍了表达方式语义、投影关系语义和尺寸约束语义的分类获取技术，以及相切组合关系、相贯组合关系、截交组合关系语义的整合获取技术，为后续基元体信息的识别、理解和获取奠定基础。
After direct manipulation of radius , constant or variable radius area in mesh model can be modified quickly and exactly . using this method , rounding shape of a part or die can be directly modified on shell meshes for finite element analysis . ( 3 ) data segmentation on shell meshes is studied 对于已有的圆角过渡区域网格,根据圆角过渡特征与基网格面的相切关系以及给定的新的圆角半径,计算出轮廓线上各顶点对应的坐标,直接修改顶点的坐标值,保留网格模型原有的拓扑结构,使形成的新的网格与原有网格融为一体。
Two methods are brought forward to obtain the optimal solution after gained the efficient solution : one is letting the non - discrimination of specific investor and the efficient borderline have a common tangent at a point , and this point is the optimal solution ; the other gains optimal solution basing on safety - first method 在得到有效解后，本文提出采用两种方法来获取最优解：第一种方法是采用特定投资者的无差异曲线与有效边界相切的方法得到最优解；第二种方法是采用安全第一方法来获得最优解。
If the inviscid solution includes the interaction that a central rarefaction wave collides with the boundary and the boundary reflects a new shock wave which is tangent to the boundary , or the inviscid solution includes some shock wave which is tangent to the boundary , then the error of the viscosity solution to the inviscid solution is bounded by o in l1 - norm ; otherwise , as in the initial value problem , the error bound is o 如果无粘解包含中心稀疏波与边界相撞且边界反射一个与之相切的新激波这样的相互作用，或者无粘解包含与边界相切的激波，那么在l ~ 1 -范数下粘性解与无粘解间的误差界是o ( ~ ( 1 / 2 ) + | ln | + ) ；否则，类似于初始值问题，误差界是o ( | ln | + ) 。
The author acquires three main results , i . e . an approach of constructing polynomial curves with some shape parameters , c2 - continuous spline curves of degree 4 with some shape parameter , and planar piecewise bezier curve of 3 4th and 6th degree with given control polygon and the curve segments are joined together with c1 c2 and c3 - continuity 作者在后三章得到了本文的三个主要结果： ( 1 )构造了一种带形状参数的多项式曲线； ( 2 )构造了一类c ~ -连续带形状参数的四次样条逼近曲线； ( 3 )构造了与给定多边形相切的可调控保形分段c ~ 1三次、 c ~ 3六次b zier样条曲线。
Basing on the two order tangency at initial point between isotropic curve and hugoniot curve , a new method for calculating cold energy cold pressure and cohesive energy for solid is presented in the paper , comparison with experimental data manifest that this method is very good and can be applied 利用在初始点等熵线和冲击绝热线二级相切的性质，给出了一种可用于计算固体冷能冷压和结合能的新方法，并推导了利用hugoniot参数计算结合能的公式。与实验数据的比较表明，这种方法是有效可行的。
Third , the filtration experiment is made by using the inorganic saltand influencing factors on permeated flux are investigated , such as slurry inlet ways , concertration of suspension and pressure . the results are greater than those in the common crossflow microfiltration in the same condition . on the other hand , the operating pressure will change to be less trend with other enhanced crossflow microfiltration when the permeate flux arriving a steady value 第三、采用sio _ 2进行了分离实验，比较了直线相切进料和园弧相切进料两种形式在不同压力和不同浓度下对渗透通量的影响及浓度、压力等对过滤通量的影响规律；并与普通十字流微滤进行了分析比较，发现不管是直线相切进料还是园弧相切进料其在相同工况下的过滤通量都比普通十字流的过滤通量大。
