重算

This paper discussed the algebraic multiplicity of the complex eigenvalues of population operator.

讨论了人口算子复本征值的代数重数问题。

It proves the singular transport operator generates a strongly continuous C_0 semigroup V(t0)and the weak compactness properties of the second-order remained term of the Dyson-Phillips expansion for the C_0 semigroup V(t0)in L1 space,and to obtain the spectrum of the singular transport operator only consist of,at most,finitely many isolate eigenvalues which have a finite algebraic multiplicity in trip Γ.

证明了这类方程相应的奇异迁移算子产生C0半群和该半群的Dyson-Phillips展开式的二阶余项是弱紧的，从而得到了该迁移算子的谱在区域Γ中仅由至多有限个具有限代数重数的离散本征值组成等结果。上饶师院数学与计算机系江西上饶334001；南昌大学数学系江西南昌330047袁邓彬

From our results, it can be known that the weakly asymptotic order of the information-based algorithm whose recover function is the classical Bernstein interpolation sequence is below that of the corresponding minimal information radius whose permissible information operator is function value.

通过我们的结果可以知道，以经典的Bernstein多项式算子列作为计算恢复函数的信息基算法，其在Wiener空间(或1-重积分Wiener空间)下的的平均误差的弱渐近阶均低于相应的以函数值计算为可允许信息算子的最小平均信息半径的弱渐近阶。

Liber Abaci emphasizes summed-up algorithm, but does not pay attention to the form of propositions derived, and it mainly reflects the tendency of practical algorithms, such as principal method from India and the algebraic knowledge from the Arab. In Liber Abaci it is found some problems similar to ancient Chinese mathematics like pursuit problems, drainage problems, business problems, hundred fowls problems, remainder problems, indeterminate problems, as well as some Algorithm—fraction addition and subtraction,the compound rule of three, the method Elchataym and the method of Excess and Deficit, and so on.

在系统梳理《计算之书》数学内容过程中，笔者发现《计算之书》中存有与中国古代数学中相似的实用算题，如：追及问题、排水问题、经商问题、百鸡问题、剩余问题、不定问题等，以及和中算一致的算法：分数算法、多率法和重今有术、第二类"Elchataym算法"和盈不足术等。

This paper is to research singular transport equations with anisotropic continuous energy homogeneous slab geometry for periodic boundary condition in slab geometry.

在Lp1周期边界条件下各向异性、连续能量、均匀介质的奇异迁移方程，证明了其相应的奇异迁移算子产生C0半群和该C0半群的Dyson-Phillips展开式的二阶余项是紧的，从而该算子的谱在区域Γ中由具有限重的离散本征值组成等结果。

Doug's heart is instantly full of pain and inanity. She has to wait for him again. The danger this time is not less than the one of confronting Yin Zhong a bit. She may expect a heart-stopped corpse back once more and bear the unbearable pain once more—the pain usual people only bear once. Then, is the revivification of Po a fortunate thing to her?

豆豆只觉得心裏一阵疼痛和空虚，她又得等他了，这次的凶险丝毫不逊於对敌尹仲，她有可能再次等回一个心脏再不跳动的躯体，重又承受一次撕心裂肺的伤痛—普通人只承受一次的东西，那麼童博当初重生对她到底算幸还是不幸呢？

After nest found, the dominating ecological factors with definite distance to nest tree (less than 10 meters) including tree species, tree height, habitat type of nesting-tree, nest position, the type of nesting tree branch, nest type, the type of nest-site, the viability status of tree and branch was described and measured. Geography coordinates (latitude-longitude) was converted into orthogonal coordinates, and add to Arcview3.2 as shape-file, and measured the distance between nest and the habitat type including double-line river, lake, seasonal lake, shallow mire, deep water mire, meadow mire, farmland, sparse forest, forest marsh, the boundary of Nature Reserve and road.

将调查所获得的东方白鹳巢址坐标转换成平面直角坐标，并将巢位点作为Arcview3.2中的矢量图层加入到已经矢量化的洪河保护区生境类型图中，运用Arcview3.2的距离量算功能，量算出每个巢距各生境类型的距离，包括双线河、湖泊、时令湖、轻沼泽、重沼泽、沼泽化草甸、旱田、疏林和森林沼泽，以及距保护区边界和公路的距离。

A new density operator formalism for describing thecoupled high-spin systems was proposed.The formula ofevolution of density operators under the effect of weakspin-spin coupling were derived.Some experiments wereanalyzed include refocused INEPT and homonuclear COSY(for2D nuclear).

五提出一种描述高自旋体系密度算符演化的新方法，推导了高自旋体系和自旋算符在弱偶合哈密顿作用下的演化公式，并以■核(2D)为例，计算了重聚INEPT和同核COSY实验谱。

Liber Abaci emphasizes summed-up algorithm, but does not pay attention to the form of propositions derived, and it mainly reflects the tendency of practical algorithms, such as principal method from India and the algebraic knowledge from the Arab. In Liber Abaci it is found some problems similar to ancient Chinese mathematics like pursuit problems, drainage problems, business problems, hundred fowls problems, remainder problems, indeterminate problems, as well as some Algorithm—fraction addition and subtraction,the compound rule of three, the method Elchataym and the method of Excess and Deficit, and so on.

在系统梳理《计算之书》数学内容过程中，笔者发现《计算之书》中存有与中国古代数学中相似的实用算题，如：追及问题、排水问题、经商问题、百鸡问题、剩余问题、不定问题等，以及和中算一致的算法：分数算法、多率法和重今有术、第二类&Elchataym算法&和盈不足术等。

With the help of the time evolution operator, we exactly diagonalized the time-dependent 6 Haniltonian, and get the quasienergies and the eigenvector of the Floquet states, which include three triplets and three singlets.

借助时间演化算子，将6×6含时哈密顿严格对角化，而得到Floquet态的准能量和本征矢量，其中包括三个三重态和三个单重态。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失