英语释义

1. the aggregate of all points at infinity in projective geometry of three dimensions

2. an ideal mathematical point in projective geometry that preserves the magnitudes of all angles of a transformed plane

片语

harmonicity at infinity在无穷远点的调和性

reference at infinity无穷远点参考

line at infinityIn geometry and topology, the line at infinity is a projective line that is added to the real (affine) plane in order to give closure to, and remove the exceptional cases from, the incidence properties of the resulting projective plane. The line at infinity is also called the ideal line.

limit at infinity极限

point at infinity无穷远点

critical point at infinity无穷远奇点

index order at infinity仿射

the point at infinity无限远的点

flow at infinity无限远处流动

英汉例句

• the bifurcation of limit cycles at infinity for a class of cubic polynomial systems was studied in the paper.

  研究了一类三次系统无穷远点的极限环分支问题。

• in this paper, the authors consider that both the crack length and the stress at infinity change are due to plasticity, and compared the results calculated by five different methods.

  本文中我们考虑了幂硬化材料工型裂纹由于塑性变形时，裂纹长度和外加应力同时变化的情况。据此，用五种不同的方法进行了计算和相互比较。

• he only catches up with it at infinity (infinitude).

  他仅能在无限的地方赶上它。

• after the solution of the discretized equation, one obtain the intermediate vector on the boundary and the behavior at infinity of velocity at the same time.

  在求得边界上的中间变量—向量密度场的同时，也确定出压力、无穷远处的流速。

• we defined it in such a way 0 that the potential energy at infinity is zero.

  无穷大处的势能,等于,这样的结果就是。

• the far point of a normal eye is at infinity .

  正常眼的远点在无穷远处。

• as an application of our method, we solve the problems of center conditions and bifurcation of limit cycles at infinity for a quintic polynomial system.

  作为应用，我们在复域中详细地求出了一类五次多项式系统的原点成为中心、拟等时中心的条件。

• cross ratio and element at infinity are two important concepts with projective geometry and primary tools in considerate projective property of figures.

  交比和无穷远元素是射影几何中的两个重要概念，它们是探讨图形射影性质的主要工具。

• through transformations, the time-dependent boundary conditions on the airfoil contour and the boundary conditions at infinity are brought fixed to the boundaries of a finite domain.

  通过坐标变换使变化的物面边界条件及无穷远边界条件变为固定的有限范围内的边界条件。

• second theorem shows that the existence of solution is possible under suitable conditions when the limit of growth of nonlinear term at infinity is an unbounded function.

  第二个定理表明当非线性项在无穷远处增长的极限是一个无界函数时在适当条件下这问题仍可能有一个解。

• in this article, the center conditions, isochronous center conditions and bifurcation of limit cycles at infinity for a class of fifth system are investigated.

  研究一类七次多项式微分系统无穷远点的极限环分支问题。

• the result with the reference of a point at infinity was derived from a newly proposed reference electrode standardization technique (rest) based on the equivalent distributed source theory.

  其中无穷远点参考是通过一种基于等效分布源理论建立的参考电极校正技术处理后得到的。

• to construct a progression at infinity as an expansion of function in the continuous interval, a good result was achieved.

  给出了一种不含导数的函数展开方法，在函数的连续区间内构造一个无穷级数作为函数的展开式。