不变

Hold the line on prices; keep the price of something constant .

保持价格不变；保持某种东西的价格不变。

In the long run under stable economic situation, certain investment will have a constant rate of return since they have the same non-monitory return.

在长期的相对稳定的经济情况下，一种类型的投资的金钱部分的回收利率应该是不变的，因为它的非金钱部分的回收是不变的。

It stands to reason that constant velocity implies not only constant speed but unchanging direction as well.

显然，匀速不仅意味着速度的大小不变，而是方向也不变。

Unlike the doctrine of transubstantiation, however, that of consubstantiation asserts that the substance of the bread and wine is also unchanged, the ubiquitous body of Christ coexisting "in, with, and under" the substance of the bread, and the blood of Christ in, with, and under the wine, by the power of the Word of God.

不像学说陷于变体说，不过，这对consubstantiation断言，该物质的面包和酒也不变，无处不在基督的身体共存"，并根据"物质的面包，以及血液基督教会，，而根据酒，由电力的上帝的话。

On this foundation, the followingfew problems are resolved. Firstly, we have a kinematic density formula for pairs of needles by using thekinematic density formula for pairs of oriented lines. The geometric probability thatthe random pairs of needles intersect at a point in convex body K is considered.

在此基础上，重点解决了以下几个问题：首先利用R~2上有向直线偶的运动不变密度公式，得到了针偶的运动不变密度公式，考虑了针偶与凸体K相交且针偶的交点属于K的这样一个几何概率问题。

Libermann.The early researcheson this kind of manifolds were closely related to Physics and Mechanics.But since1991,S.Kaneyuki published his result on the algebraic condition for the existence ofinvariant〓structures on a coset space,Lie theory has played the most impor-tant role in the study of this kind of manifolds.In particular,dipolarizations in a Liealgebra are closely related to the homogeneous〓manifolds.Dipolarizationsin semisimple Lie algebras and the homogeneous〓manifolds associated withthese dipolarizations have been studied by S.Kaneyuki,Z.X.Hou and S.Q.Deng.Inthe partⅡ of this thesis we study the dipolarizations in some quadratic Lie algebrasand the homogeneous parakahler manifolds associated with these dipolarizations.

Libermann给出的，早期的有关类流形的研究与物理和力学密切相关，自从1991年金行壮二发表了陪集空间上存在不变仿凯勒结构的代数化结果后，李群及李代数理论在这类流形的研究中起着主要作用，特别地，李代数的双极化与这类流形密切相关，半单李代数的双极化的相关几何，金行壮二，候自新和邓少强等人已作了研究，二次李代数是比半单李代数更广且带有非退化不变双线性型的李代数，本文主要研究了二次代数的双极化及相关几何。

Wang Qiyao failed to understand that it is precisely this myriad of unchanging little worlds that serves as a counterfoil to the tumultuous changes taking place in the outside world.

这世界就好像藏在时间的芯子里似的，竟没一点变化……王琦瑶不知道，那大世界如许多的惊变，都是被这小世界的不变衬托起的。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

Because the premise of the establishment model of Thirlwall is that a main factor isn't long-term and constant, but to traditional agriculture, Schultz thought that the main factor of traditional agriculture was long-term constant, if new factors did not get involved lately and elementally, impossibly made it conduct results better, so the education don't influence on the traditional agriculture and then can comprehend.

因为瑟尔瓦尔建立模型的隐性前提是要素并不是长期不变的，而对传统农业而言，所有的要素是保持不变的，并已经达到了最优配置，所以教育对传统农业没有影响就可以理解了。

When G is not a commutative semitopological semigroup, Lau and Takahashi proved the ergodic theorem for right reversible semigroups of nonexpansive mappings by using the methods of invariant means.

而当G非交换时，Lau和Takahashi利用不变平均技巧，在假定G是右可逆，X具一致Frechet可微范数及RUC存在不变平均等条件下，给出了非扩张半群的遍历压缩定理。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。