有边

In 1987, the well-know mathematician Yousef Alavi and other famous mathematicians defined a new decomposition of graph-Ascending Subgraph Decomposition which is on the condition of proper subgraph isomorphic, and in the same paper they proposed the following ASD conjecture: every graph of positive size has an ASD.

升分解(ascending subgraph decomposition，简记为ASD)是1987年闻名世界的数学家Alavi与其他几位著名数学家给出的一种在真子图同构意义下的图的新分解，并且在同一论文中他们还提出了一个升分解猜想：任意有正数条边的图都可升分解。

Living thus, he came by chance one day to a clear fountain, and lay down by it; when behold ing in the water his own image, he fell into such a study and then into such a rapturous admiration of himself, that he could not be drawn away from gazing at the shadowy picture, but remained rooted to the spot till sense left him; and at last he was changed into the flower that bears his name; a flower which appears in he early spring; and is sacred to the infernal deities ----Pluto, Proserpine, and the Furies.

就在这种生活中，有一天，他偶然来到一池清泉旁。正值炎热的中午，他便在泉边躺下。一看到池水中自己的倒影时，他便细细察看观赏，继而狂喜地恋慕自己。凝视着自己若隐若现的水中美影，他不能自拔，就像扎根于此，直到感觉消去。最后他变成以他名字命名的水仙花。水仙花于早春开放，是冥府诸神的圣花：普路托，普洛塞尔皮那，复仇三女神皆以此花作祭。

Soon, he came to a large tent. Inside it, there was a puppet show.

他很快就走到一顶大帐棚边，里面有一场木偶秀。

The basic steps of this method are as follows.The firststep is to derive a necessary condition such that the families of quasipolynomials withone parameter,corresponding to the edges of the polytope,have pure imaginary rootsby using the Dixon's resultant for polynomials.Then to check that the casescorresponding to the parameters obtained in the first step are in fact impossible byusing the generalized Sturm criterion and some stability criteria.

其基本思路是先利用多项式方程组的Dixon结式理论导出使各棱边对应的单参数特征拟多项式有纯虚根时，参数值应满足的一个等式条件，即所谓的Dixon结式等于零，然后由广义Sturm判别法验证对所有参数值，Dixon结式不等于零，或使结式等于零的解不产生特征拟多项式的纯虚根。

At present, new varieties of seeds and seedlings have: Japan Jinguan Parkinson, Parkinson Wheatgrass, Blue Sword hodginsii, Eclisse Magnolia, fire-Yan Photinia, Mosaic climb vulgaris, Viburnum, Phnom Penh cornuta, Golden Robinia, Purple Bauhinia leaves Canada, liquor Silver Parker, silver edge Pittosporum, yellow fruit Pyracantha, Acer rubrum.

目前新品种种苗有：日本金冠柏、蓝冰柏、蓝剑柏、含羞玉兰、火艳石楠、花叶爬地柏、荚迷、金边枸骨、金叶刺槐、紫叶加拿大紫荆、酒银柏、银边海桐、黄果火棘、红花槭。

In US a quadrilateral with two parallel sides.

有两个平行边的四边形。

A quadrilateral has four equal margins and four right angle.

正方形有四条等边和四个直角。

There are four equal lines and quadruple right angles in the square.

正方形有四条等边和四个直角。

However, there were junior offices below the level of the quaestorship and in pursuing these offices one marked out one's intentions to become a senator by seeking permission to wear the "broad strip".

但是在财务官的职位之下还有更低级的官职，出任这些低级职位的人再通过获准身穿宽边托迦而标显出自己有成为元老的意图。

The straw fedora, with its rakish snap brim, is the summer status symbol.

帽边有微微随性反折的草编软呢帽已经是今年夏天流行的象徵。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。