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  non-positive
     The paper studies the portfolio investment model on the condition of permitting shorting-selling and risk-free asset if the covariance of security investment portfolio is non-positive definite matrix and gives calculating methods for optimal investment coefficient of proportionality and its efficient frontier.
     在用于度量证券组合投资风险的协方差矩阵为非正定时 ,研究允许卖空且存在无风险证券的证券组合投资决策模型 ,给出了最优投资比例系数的计算方法及有效边界。
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     Non-Riemann Finsler surfaces with constant H are constructed. Gauss-Bonnet-Chern theorem for Landsberg surfaces is generalized. A classification of non-positive curved Finsler surfaces is given.
     本文在Finsler曲面上定义了一个新的不变量H.该不变量等于零刻画了Riemann流形.文章给出了H的一个上界并且构造了H为常值的非Riemann的Finsler曲面.此外,本文还推广了Landsberg曲面的Gauss-Bonnet-Chern定理并分类了非正曲率的Finsler曲面.
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     ON THE NUMBER OF NON-POSITIVE EIGENVALUES OF A REAL SYMMETRICAL MATRIX AND ITS APPLICATION IN THE COUNTING OF EIGENVALUES
     对称矩阵的非正本征值数及其在本征值计数上的应用
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     Binary Sequences with Non-Positive Autocorrelation Values
     具有非正自相关函数的二进制序列
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     Solutions of the following second order nonhomogeneous boundary problem system are studied: X+A(t)X=f(t), X(a)=X(b)=0, where A(t) is a continuous n×n matrix with its elements ai j (t) non-negative on the interval [a, b], and f(t) is a continuous vector function with its elements fi(t) non-positive on the interval
     研究二阶非齐次系统边值问题X″+A(t)X=f(t),X(a)=X(b)=0的解,其中A(t)是连续的n×n矩阵,其元素a_(ij)(t)在区间[a,b]上为非负,f(t)是连续向量函数,其分量f_i(t)在[a,b]上为非正
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  nonpositive
     x(0)=x(1),x′(0)=0at resonance is studied,some sufficient conditions for the boundary value problem with nonnegative solutions,nonpositive solutions and solutions are obtained as nonlinear term f variation sign,the inexistence of solutions are given as nonlinear term f>0,or f<0.
     x(0)=x(1),x′(0)=0.解的存在性. 当非线性项f变号时,得到了边值问题存在非负解,非正解及解的充分条件,当非线性项f恒正或恒负时,得到了边值问题无解的结论.
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     This paper gives the lower bound of the number of negative entries of nonpositive sign pattern matrix A\+2 and characterizes the matrix which attains the bound \ \
     本文给出非正符号矩阵A2 中负元个数的下界, 并刻划达到下界的极矩阵。
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     The Lower Bound of the Number of Negative Entries of a Nonpositive Sign Pattern Matrix A~2
     非正符号矩阵A~2中负元个数的下界
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     A Formula of Euler Characteristic of Two Dimensional Compact Riemann Manifolds of Nonpositive Curvature
     二维紧致具有非正曲率Riemann流形Euler数的一个计算公式
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     Pointwise Approximation Characterization for a Class of Nonpositive Lupas-Kantorovich Operators
     一类非正性Lupas-Kantorovich型算子的点态逼近特征
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  “非正”译为未确定词的双语例句
     The distribution of DNA ploidy was 2.47~11.79C,with no normal diploid (2C). All the 41 cases were aneuploidy and polyploid.
     结果表明,DNA倍体水平分布范围为2.47~1.79,无正常二倍体(2C),41例皆为非正倍体的异多倍体。
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     Adaptive Clutter Suppression for Non Side Looking Airborne Phased Array Radar
     非正侧面机载相控阵雷达自适应杂波抑制
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     Research on Fatigue Propagation Characteristics of Surface Cracks in Non-orthogonal Nozzle Area of Pressure Vessel
     压力容器非正交接管区表面裂纹疲劳扩展特性研究
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     Combining the reliability-based optimization design theory, the reliability sensitivity analysis technique and the robust design method, the reliability-based robust design of automotive semi-axle flange with non-normal distribution parameters is discussed and a numerical method for reliability-based robust design is proposed.
     将可靠性优化设计理论、可靠性灵敏度分析技术与稳健设计方法相结合,讨论了随机参数服从非正 态分布汽车半轴凸缘的可靠性稳健设计问题,提出了可靠性稳健优化设计的计算方法。
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     It studies that Finsler manifold with constant flag curvature(CFC) K=c ≤0 of completely and simply connected is in existence and uniqueness under quasi isometric mapping,and the necessary and sufficient condition that Finsler manifold with flag curvature K ≤0 of completely and simply connected in CFC is given.
     研究了常旗曲率(k≤0)的单连通完备Finsler流形在拟等距映射下的存在唯一性,同时给出了单连通完备非正旗曲率的Finsler流形是常旗曲率Finsler流形的充要条件
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  non-positive
A sufficient condition for Yamabe invariants to be non-positive and its applications are obtained.
      
Under the assumption that the outer normal derivative of p is non-positive, we will estimate u in U × (-t0, t0) by the Cauchy data on an open subset of ?Ω × (-T, T), where t0 >amp;lt; T is some constant and U is a neighbourhood of ?Ω.
      
Since the new method doesn't need the variational principle, it can be applied to solve non-positive and positive definite partial differential equations with arbitrary variable coefficient.
      
Since the new method doesn't need variational principle, it can be applied to solve non-positive and positive definite partial differential equations with arbitrary variable coefficients.
      
Since the new method doesn't need the variational principle, it can be applied to solve non-positive and positive definite partial differential equations with arbitrary variable coefficient.
      
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  nonpositive
In this paper we classify?-graded transitive Lie superalgebras with prescribed nonpositive parts listed in [K2].
      
For the nonpositive Hermite-Fejér interpolation based on the Laguerre abscissas, a pointwise two-sided estimate of the degree of approximation in the aleatoric interval [0, A] is first established.
      
The Laplace matrix is the matrix L = (?ij) ∈ ?n × n with nonpositive off-diagonal elements and zero row sums.
      
The Laplace matrix is a square matrix L = (?ij) ∈ ?n×n in which all nondiagonal elements are nonpositive and all row sums are equal to zero.
      
The immersion of a three-dimensional blunt convex body in a compressible fluid with nonpositive acceleration is considered in the linear formulation.
      
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The difficulty for establishing local limit theorems is to estimate the velocity for tending zero of the characteristic functions as the argument tends to infinity.It is sufficient to assume that some kinds of uniform condition is satisfied by the independent sequence.A new result is given such that the result in [13] is extended.Using the same method,a limit problem for large deviations of sums of mutually independent random sequence is given.

建立相互独立随机变量和局部极限定理的困难点在于估计每一加项特征函数在无穷远点的无穷小特征。本文引伸了作者在[1],[13]中所用的方法给出一族随机变量组序列服从局部中心极限律的定理和它的证明。所得结果推广了[13]中的结果而且也包含了同分布加项情形相应的结果。引用同样的方法,作者给出了一个相互独立随机变量组序列和的大偏差局部极限定理。组序列情形下的大偏差极限定理(据作者所知)还是第一次提出来的。大偏差积分极限定理的问题允许作同样的处理(参考[9])。运用以上方法可处理格子点分布情形的局部极限定理的问题,及向非正态收敛情形下类似的问题(参阅[17]、[15]和[14])。

The chromosome of somatic cells of 20 four-five year old plants induced by anther culture were examinined and the variation in the chromosome number was studied The results are.1、These Poplar pollen plants are mainly mixoploid;in different plants are not only 1-4n euploid cells, but also aneuploid somatic cells, mainly diploid cells and aneuploid cells;the latter probably arise from multipolar cell division.2、In different individual plants, the pereentage of different euploids and aneuploids are different, which...

The chromosome of somatic cells of 20 four-five year old plants induced by anther culture were examinined and the variation in the chromosome number was studied The results are.1、These Poplar pollen plants are mainly mixoploid;in different plants are not only 1-4n euploid cells, but also aneuploid somatic cells, mainly diploid cells and aneuploid cells;the latter probably arise from multipolar cell division.2、In different individual plants, the pereentage of different euploids and aneuploids are different, which directly effect the growth of plants. Those containing mainly diploid cells grow faster;those containing mainly aneuploid cells grow slower.3、During the process of growth ploidy of the chromosome of somatic Cells of pollen plants varies continuously. Haploids may change into diplo;ds, i. e. autoploidy, probably due to intranuclear mitosis and nnclear fusion.

观察了用花药培养方法诱导出来的4—5年生20个当代植株体细胞染色体在数量上的变异,其结果如下: 1、杨树花粉植株基本上为混倍体、即在同一植株内不仅存在1—4倍的正倍体细胞,而且也有介于1—2倍体间的非正倍体细胞,其中以二倍体细胞和介于1—2倍体问的非正倍体细胞占多数。而后者的产生可能与多极有丝分裂有关。 2、不同植株中各种正倍体和非正倍体细胞所占比例不同,且直接影响植株的生长势。就中东杨花粉植株来看,生长快的植株中二倍体细胞占多数,生长慢的植株中介于1—2倍体间的非正倍体细胞占多数。 3、在生长过程中,花粉植株体细胞染色体倍数性在变化,有由单倍向二倍体转变即自然加倍的趋势。核内有丝分裂及核触合等有丝分裂的异常过程可能是其重要原因。

This paper is concerned with a LR algorithm, which has been used to find out the total eigenvalues of a symmetric matrix. This method different with the existing algorithms keeps the symmetry of the matrix factorized in each step of the iteration without calculating the square root. Suppose that A is a symmetric matrix and the Cholesky decomposition of A is feasible, then we have (by using the usual notations), A=LDL′. Let A_1=A=L_1D_1L′_1, A_2=D_1L′_1L_1=D_1L_2D_2L′_2, A_3=D_2L′_2D_1L_2=D_2L_3D_3L′_3, …… We...

This paper is concerned with a LR algorithm, which has been used to find out the total eigenvalues of a symmetric matrix. This method different with the existing algorithms keeps the symmetry of the matrix factorized in each step of the iteration without calculating the square root. Suppose that A is a symmetric matrix and the Cholesky decomposition of A is feasible, then we have (by using the usual notations), A=LDL′. Let A_1=A=L_1D_1L′_1, A_2=D_1L′_1L_1=D_1L_2D_2L′_2, A_3=D_2L′_2D_1L_2=D_2L_3D_3L′_3, …… We have preyed: ⅰ Under certain conditions we have D_kD_(k+1)→A as k→∞ where A is a diagonal matrix and its diagonal elements are the eigenvalues of A (Theorem 2). ⅱ If A is a positive matrix, then L_k→I as k→∞, I being the unit matrix with the same order (Theorem 3). The acceleration of convergence has also been dealt with in this article and some numerlcal examples have been given to illustrate the method concerned.

用LR算法求对称矩阵的全部特征值时,迭代一步以后矩阵的对称性就不再保持。有人提出对称化变形(或CIILR)算法(例如,见[2]、[3]或[4])。然而这种变形每迭代一步要作n(矩阵的阶)次开平方运算,计算工作量很大,特别是对于非正定矩阵会导致复数运算。本文提出了一个新的方案,避免了上述缺点。文中还对新方法的收敛性和收敛速度的加速进行了分析并给出了一些计算实例。

 
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