查询词典 hilbert problems

By taking advantage of the non-conjugate transformation and multiple variant equations on braid group s, two intractable problems are proposed, and the hardness of these problems comes from the enlarged amount of va.

辫子群是一种新兴的适用于量子计算机时代的公钥密码平台，辫子群上已知的用于公钥密码系统的一些难解问题和基于这些难解问题的公钥加密算法都受到不同程度的攻击。

The traditional approach to dealing with complex problems is to break them down into smaller, more easily managed problems.

传统的处理复杂问题的途径是将其分解为较小的、较容易解决的问题。

Problems should be similar in nature to the problems we find in professional practice or at least call forth the same types of skills and activities.

问题应该在性质上类似的问题，我们发现在专业实践，或至少要求提出同一类型的技能和活动。

Based on the projection theorem in the finite-dimensional inner product space, by making use of the generalized singular value decomposition and the canonical correlation decomposition of matrix pair simultaneously, we transform the least-squares problems of the abovementioned inconsistent matrix equations into the problems of solving the consistent matrix equations over given matrix set, and obtain the general expressions of the corresponding least-squares solutions.

S使得‖-X~*‖=‖-X~*‖，其中‖·‖为Frobenius范数，S分别表示矩阵方程 AXB=D，AXA~T+BYB~T=D，AXB+CYD=E和矩阵方程组=，=在一般矩阵集合或对称矩阵集合上不相容时的最小二乘解集合。

While a prosthesis that is too large can cause problems, lucencies around the stem of the intentionally loose prosthesis and most changes in the capitellum do not appear to cause problems, at least in the short term.

假体过大可能导致一些问题，但至少在短期内，假体周围透亮影和多数肱骨小头的变化不会导致其他问题。

It is proved that the model of Hertz, Capon and Lindel"of areidentical to Vakonomic model while the model of H"older, Pars andChaplygin are identical to Chetaev's model. The fact thatVakonomic model and Chetaev's model exist simultanously can betraced back to the early days of non-holonomic mechanics. These twomodels cause two problems the d- and - permutable problems.

论证了Hertz， Capon和Lindel"of的工作与Vakonomic模型相吻合，而H"older， Pars和Chaplygin的工作与Chetaev模型相吻合，Vakonomic模型和Chetaev模型两类模型并存的局面可以追溯到非完整力学发展的初期。1mm说明了伴随两类模型并存的现象而出现的两个问题 d-交换性问题和-交换性问题。

The fourth part is the carry-over problems in the reform. It provides corresponding critical thinking problems and key points.

第四个部分阐述了改革方案的实施结果以及改革中尚存在的遗留问题，提供了需进一步解决的问题和关键要点。

The Green's function in complex domain is introduced to turn the mixed boundary value problems of the fluid potential to the problems of Cauchy's dual integral equation.

文中采用了复域内格林函数解法，将势函数的Herbert问题转化为对Cauchy型奇异积分方程的求解。

Singular perturbation theory and method for solving nonlinear problems is an important tool on the origin of celestial mechanics and nonlinear vibration problems,and its advantage is enough to give the right solution for structural analysis.

奇异摄动理论和方法是求解非线性问题的重要工具，它起源于对天体力学和非线性振动问题的研究，它的优点是能够给出足够正确的解的解析结构。

The entire flight process is the rocket's flight mechanics and celestial mechanics of the process, and sometimes is a typical rocket flight mechanics problems, and sometimes is a typical celestial mechanics problems.

整个飞行过程是火箭飞行力学与天体力学的过程，有时是典型的火箭飞行力学问题，有时是典型的天体力学问题。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了