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二次基
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  quadratic-base
     Zhang [Mathematics of Computation, 71 (2002), 1699-1734. MR 2003f:11191] first gave definitions of one-parameter quadratic-base pseudoprimes and strong pseudoprimes.
     张振祥[Mathematics of Computation,71(2002),1699-1734.MR 2003f:11191]先定义了单参数二次基伪素数和强伪素数.
短句来源
     Zhang [Mathematics of Computation, 71 (2002), 1699-1734. MR 1933051 (2003f:11191)] first gave definitions of one-parameter quadratic-base (strong) probable primes and pseudoprimes.
     张振祥[Mathematicsof Computation,71(2002),1699-1734.MR 2003f:11191]给出了单参数二次基概(伪)素数和强概(伪)素数的定义。
短句来源
     Then Zhang proposed a one-parameter quadratic-base version of the Baillie-PSW probable prime test, or One-Parameter Quadratic-Base Test (OPQBT) for short and gave formulas for computing its probability of error.
     张振祥接着又提出Baillie-PSW测试的单参数二次基版本,简称单参数二次基测试(OPQBT),给出了OPQBT的出错概率计算公式,并根据n的素因子个数给出了出错概率的上界。
短句来源
     In this paper, based on the studies of ZHANG Zhen-xiang~([1]), we discuss some properties of the one parameter quadratic-base pseudoprimes, including the following: the order and structure of the modulo rings generated by those pseudoprimes, and the conditions under which the product of the two bases of a pseudoprime is again a base.
     在张振祥[1]的研究基础上,讨论并给出了单参数二次基伪素数的一些性质,主要包括:由该伪素数生民的代数整数环的剩余类环中的单位构成的群的阶及结构、两个单参数二次基伪素数基的乘积仍是单参数二次基伪素数基的条件.
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     SOME PROPERTIES OF ONE PARAMETER QUADRATIC-BASE PSEUDOPRIMES
     单参数二次基伪素数的一些性质
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  “二次基”译为未确定词的双语例句
     At first, we show that there are infinitely many psp(T_u)'s for any given u > 2. Then, we discuss the order and structure of the group of units of the semigroup (Z[T_u]/(n), ·, 1), and give a necessary and sufficient condition for that the product of two bases T_a · T_b, is congruent to a third base T_c modulo n.
     然后讨论了乘法半群(Z[T_u]/(n),·,1)的可逆元构成的群的阶及结构; 并给出了两个二次基的乘积T_a·T_b是第三个二次基T_c(mod n)的充分必要条件;
短句来源
     If n is composite such that the above congruence holds, then we call n a pseudoprime to the base T_u, or psp(T_u) for short.
     若合数n满足上式,就称n是基为T_u的(单参数二次基)伪素数,记作psp(T_u)。
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     When p(x) are chosen as quadratic bases, r can be chosen as 1.9h if the distance between x and the boundary of the domain is more than h, otherwise r can be chosen as 2.5h.
     对于二次基,如果x到边界的距离大于h,影响半径r可取为1.9h,否则影响半径r可取为2.5h。
短句来源
     In this paper we first define ξ_m=min{n : n is an spsp(T_u) for all u with 3 ≤ u ≤ m + 2}. If we know the exact value of £m, we will have a deterministic primality testing algorithm for integers n < ξ_m.
     本文首先定义了ξ_m=min{n∶n是spsp(T_u),u=3,…,m+2},称为通过前m个基的最小的单参数二次基强伪素数,然后给出了单参数二次基强伪素数的一些性质,并通过这些性质算出了ξ_i,i=1,2,3,4,5。
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     Study of new apparel pattern derived from basic pattern
     服装纸样二次基型的研究
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  相似匹配句对
     The secondary disaster
     灾难
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     Sequel Design
     设计
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     2)The introduction and translation of T.
     ()T.
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     Two.
     .
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     2. basal cell;
     细胞;
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BALB/C face were immunized with the mixture of soluble antigen of Clonorchis sinensis adult worms and equivalent Freund' s complete adjuvant(FCA), and the immune effects of different routes and time intervals were observed. The results showed that the geoetric mean titer of serum antibody of intraperitaneal and subcutancous primary immunization (two-dose with 3 weeks internal) were 2500. 00 and 1470. 00 respectively, two weeks after the second dose. The difference had no significance. The antibody levels of...

BALB/C face were immunized with the mixture of soluble antigen of Clonorchis sinensis adult worms and equivalent Freund' s complete adjuvant(FCA), and the immune effects of different routes and time intervals were observed. The results showed that the geoetric mean titer of serum antibody of intraperitaneal and subcutancous primary immunization (two-dose with 3 weeks internal) were 2500. 00 and 1470. 00 respectively, two weeks after the second dose. The difference had no significance. The antibody levels of booster immunization given 19 -122 days after the primary increased rapidly and went beyond the level of primary immunization at the third day. The titers of 3 -week and 4 -week interval were 5881 .34 and 3044. 37 respectively. In addition, the immune effects of self-made FCA and imported rcA were basically the same. The former, easy to make, cheap and practical, can substitute imported FCA.

用华支睾吸虫成虫可溶性抗原加等量自制佛氏完全佐剂(FCA)免疫BAU3/C鼠,以不同免疫途径、不同时间观察其免疫效果。结果腹腔注射组和皮下多点注射组两次基础免疫间隔3周,第二次基免后两周抗体几何平均滴度分别为2560.00和1470.00,差异无显著性;以加倍剂量于基础免疫后19-122天进行加强免疫,抗体水平迅速提高,于第三天已超过基础免疫水平,但在此时间内进行加强免疫的效果差异无显著性;两次基础免疫间隔3周和4周,其加强免疫后的抗体几何平均滴度分别为5881.34和3044.37,前者优于后者。实验中分别用自制FCA和进口FCA加入可溶性抗原进行免疫,其效果基本一样,但前者制作简便,价廉实用,可取代进口FCA。

Superquadric parameters extraction is essential for superquadric_based reconstruction from 2D images and 3D data, but most of the search algorithms for superquadric parameters extraction are suboptimal and they are susceptible to being trapped into local optima. The paper proposes a search based on real_coded genetic algorithm (RCGA) for parameters extraction, which applies genetic algorithms to superquadric fitting computation. The numerical fitting experiments for comparison of GA parameters and genetic operators...

Superquadric parameters extraction is essential for superquadric_based reconstruction from 2D images and 3D data, but most of the search algorithms for superquadric parameters extraction are suboptimal and they are susceptible to being trapped into local optima. The paper proposes a search based on real_coded genetic algorithm (RCGA) for parameters extraction, which applies genetic algorithms to superquadric fitting computation. The numerical fitting experiments for comparison of GA parameters and genetic operators are carried out. The results obtained show efficiency, robustness and accuracy of the RCGA_Based search algorithm, which not only solves the problem of being trapped into local optima, but also performs quickly and reliably for superquadric parameters extraction.

如何从真实景物形状信息中计算出对其几何形状描述的超二次基元模型的参数,是从二维图像或三维数据中进行超二次模型重建的关键,这个过程称为超二次模型的参数提取,也称为超二次拟合计算.由于传统的搜索算法很容易陷入局部最优解,因此,本文将实数编码遗传算法应用于超二次模型的参数提取中,针对不同的遗传算法控制策略、遗传算子等进行了大量的拟合计算数值比较实验.数值实验表明,应用实数编码遗传算法进行超二次模型参数提取计算具有效率高、鲁棒性好、精度高的优点.

Fit By Order (FBO) method is developed to establish the meshless approximation function at a node, in which the approximation function is first fitted by the linear basis, and then fitted by the quadric basis to minimize the error. Collocation is used to discretize the governing equation. The proposed method has several advantages. Compared with other interpolation methods, such as MLS and PIM, FBO overcomes the difficulties arising from the singularity of matrix and only six nodes are required to establish...

Fit By Order (FBO) method is developed to establish the meshless approximation function at a node, in which the approximation function is first fitted by the linear basis, and then fitted by the quadric basis to minimize the error. Collocation is used to discretize the governing equation. The proposed method has several advantages. Compared with other interpolation methods, such as MLS and PIM, FBO overcomes the difficulties arising from the singularity of matrix and only six nodes are required to establish the approximation, so that the computational effort required is reduced. Compared with Galerkin-based meshless method, the proposed method does not require any mesh, so that the computational cost is further reduced.

在子域插值的基础上提出了分阶拟合直接配点无网格方法。该方法通过分阶拟合使近似函数在节点的残差达到最小,边界条件直接引入,然后使用直接配点法求解方程。与其它插值或拟合方法相比,分阶拟合避免了矩阵奇异产生的困难;与最小移动二乘法(MLS)相比,分阶拟合只需用六个点来构造二次基近似函数,减小了计算量;而与其它基于Galerkin法的无网格法相比,分阶拟合直接配点无网格法计算量小。

 
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