查询词典 gradient of scalar field

Since scalars are independent of the coordinate system, the dot product of two vectors is called a scalar invariant

因为标量与坐标系无关，故两个矢量的点积称为标量不变量。

The three-dimensional supper resolution properties of a doublet are analyzed by the scalar theory of diffraction.

应用标量衍射理论分析了双胶合透镜的三维超分辨成像特性。

In our country, the development of road transportation is mainly simple scalar expansion of low level, The growth of factor productivity contribute small to the economy increase, and the mainly character is: The development of road passenger transport and road freight is mainly the expansion of quantitatively and scalely;the development of road transportation depends on the infrastructure's high devote and market demand increase; technical is draggle and energy consumption is high, the Structural upgrade of industry is slow.

在我国，道路运输业的增长以低水平的简单数量扩张为主，要素生产率提高对增长的贡献度较小，具体表现为：道路客货运输服务的发展以数量和规模的扩大为主；道路运输业的发展仍然依赖于基础设施建设的高投入和市场需求的扩大；技术水平较低，能耗高，产业结构升级步伐缓慢。

The optimality conditions of Kuhn-Tueker and Fritz John's saddle points of vector optimization for generalized subconvex-like mapping are presented. Lagrange dual mapping and relationships among optimality conditions of saddle points, efficient and weak efficient solutions for vector and scalar optimization are established.

在拓扑向量空间框架内研究广义锥次类凸映射的向量优化，给出了广义锥次类凸映射的Kuhn-Tucker和Fritz John鞍点的最优性条件和Lagrange对偶，建立鞍点最优性条件与向量优化有效解和弱有效解之间的联系。

In the process of elliptic curve digital signature verification, the elliptic curve scalar multiplication and the elliptic point addition, which are under different coordinates, need to be calculated twice and once, respectively. With operands allocation, the two operations in the thesis are using the shared registers and arithmetic units as well as the same modular inverse process. No extra resource is needed for the introduction of point addition. Hence the resource utilization efficiency is optimized.

论文对这两种不同坐标系下的计算进行了寄存器和运算单元的统一调度，使它们的求逆运算共用同样的流程，减小了控制状态机的复杂度，并且在实现标量乘法的基础上，没有增加额外的运算单元或寄存器，点加运算的所有计算资源均和标量乘法公用，最大限度的提高了资源利用率。

A new method of finding the points on an elliptic curve by Maple is supplied; Maple is applied to the addition operation, the scalar product operation and the method of seeking the order of a basic point on the elliptic curve are proposed; the applications of Maple on ECC including encryption and decryption are supplied.

利用Maple编程求出椭圆曲线上有理点，用Maple实现椭圆曲线上两点的加法、点的数乘运算及求某个基点阶数的算法，利用Maple实现椭圆曲线密码体制的加密及解密。相比C语言，Maple语言更接近于平时说话的语法。同时，Maple语言可以方便地转化成C语言。

Elliptic Curve.Cryptosystem Scalar multiplication. Point add. Point double. FPGA.

公钥密码体制，椭圆曲线密码体制，标量乘，点加，倍点，FPGA

We prefer the form (5.16.7) since it is in conformity with the definition of scalar product in a complex Euclidean space.

我们愿意用（5.16.7）这种形式，因为它和复欧几里德空间中标积之定义相谐调。

The gain, the average energy of excitation spectrum, is quantized using 5 bits non-uniform scalar quantizer.

增益即激励谱的平均能量用5比特非均匀标量量化。

For the non-homogeneous multi-dimensional scalar conservation laws, there is no existence theorem of global weak solution.

关于高维单守恒律方程的研究，对于非齐次的情形，至今还没有得到全局弱解的存在性定理。

Alternatively, the con- trollers can use the synchronous rectifier itself or loss- less inductor current-sensing methods to provide overload protection with lower power dissipation.

另外，康威特罗勒斯可以使用同步整流器本身或亏损减少电感电流检测方法，以提供低功耗过载保护。

Mr. Dauber's other Schatz hangs in his home movie studio.

多伯把沙兹的另一件作品挂在家里的电影室。