猜想

A "time-dependent relaxation" method is proposed to accurately implement given photospheric footpoint displacements and force-free conditions. The method is applied to analyzing the energy buildup of coronal magnetic fields, and the numerical results confirm the Aly conjecture (the magnetic energy of the force-free field is bounded above by the fully-open field energy), and extends it from fully-open to partially-open force-free fields.

提出计算无力磁场的"时变松弛"方法，能精确实现光球足点位移和无力条件；采用该方法分析日冕磁场的剪切储能，验证了Aly猜想（无力场磁能以全开放场磁能为上限），并将该猜想由全开放无力场推广至部分开放无力场。

Basis on this result, Chen, Lih and Wu put forth the following conjecture:Conjecture 2 For any connected graph G, except K_m, C_(2m+1) and K_(2m+1,2m+1) for all m ≥ 0,then G is equitably △—colorable .

基于这一结果，Chen，Lih和Wu提出了以下猜想：猜想2：如果图G是一个既不是完全图，奇圈又不是完全二部图K_(2m+1，2m+1)，m≥0的连通图，那么G存在均匀Δ-染色。

This essay has applied the characteristics of sine functions of Goth function, and according to Kronecher function, it has set up a new function to represent composite number and thus come out with a more accurate function of prime number distribution .

本文根据表哥德巴赫猜想定义了卷和函数，并依照素数分布的函数得到了表哥德巴赫猜想的函数形式。

In Chapter 2,we prove the conjecture above is wrong.

在本文第二章中，对上面的猜想进行研究分析得出猜想是错误的。

Moreover, the conjecture in the case of a block with cyclomatic number 2 is confirmed by constructing a Hamilton cycle .

本文给出了"简单图的邻接树图是哈密尔顿图"猜想的等价命题，阐明只需证明该猜想对 2 -连通图成立即可。

On the ground of this search algorithm , the equivalent proposition of the Goldbach Conjecture for the even number as well as the equivalent proposition of the twin prime conjecture are deduced.

在这种搜索算法的基础上，既得到了孪生素数猜想的一个等价命题，也得到了偶数哥德巴赫猜想的一个等价命

In this paper we prove Dirac conjecture for some special graphs in Which the numbers of ve-rtices are not more than 11, or have K or more vertices of degrees at least v-K-3 with v ≥9+K(K=1,2,3,), hence a proposition equivalent is given for it.

本文对顶点数不超过11或当v≥9+K(K=1，2，3)且G中至少含有K个次不小于v-K-3的顶点的特殊图证明了Dirac猜想，从而给出一个与Dirac猜想成立等价的命题。

This problem dates back to 1611, when Johannes Kepler conjectured that the best packing arrangement for identical spheres was arranging them in what is now called face centered cubic packing - similar to how one sees cannon balls stacked.

这个问题可追溯到1611年约翰尼斯·开普勒提出堆积等大球体最佳方法的猜想（译者注：当等大球体按照--球心位于正方体各面的中心上--的形式，并且将第一层摆放成六角形时，它们占用的空间最小，对空间的利用率可以超过74%），现在把这个方法叫做面心立体堆积法--类似于加农炮弹的堆积方式。1998年，安娜堡密西根大学教授托马斯·C·黑尔斯证明了这个猜想。

In the latest issue of the Asian Journal of Mathematics, published in the U.S.A, the Chinese mathematician Xi-Ping Zhu (University of Zhongshan, Guangton, China), and Huai-Dong Cao, Pennsylvania,, announced that they had arrived at "a complete proof of the Poincare and Geometrization Conjectures".

在最新一期的《亚洲数学杂志》上，曹怀东和朱熹平宣布他们已经给出"庞加莱猜想和几何化猜想完全的证明"。

In allusion to Funar Conjecture :"If a random triangle lies in a closed unit square,then its inscribed circle s radius,r≤(5-1)/4",an equivalent minimum problem about a function of 2-variables is studied;the stagnation point and its value,value on the boundary of the function of 2-variables are studied,the equivalent problem is proved correct,so the Funar Conjecture is proved correct.

针对Funar猜想："设任意三角形位于闭单位正方形内，则该三角形的内切圆半径，r≤(5-1)/4"，研究了与其等价的某二元函数的最小值问题；利用对此二元函数驻点及其取值、边界取值讨论，证明了等价问题成立，进而此Funar猜想得证。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。