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At the end of this Chapter, we prove several nonexistent theorems for proper slant immersions, which also generalizes Chen and Tazawas theorem of higher dimension.

本章中我们还证明了几个真Slant浸入的不存在性定理,它是Chen和Tazawa定理在高维中的推广。

At the end of this Chapter, we prove several nonexistent theorems for proper slant immersions, which also generalizes Chen and Tazawa's theorem of higher dimension.

本章中我们还证明了几个真Slant浸入的不存在性定理,它是Chen和Tazawa定理在高维中的推广。

An isometric immersed submanifold which receives the least possible amount of tension from the surrounding space at each point is called an ideal immersion.

当一个浸入子流形在每一点处接受来自于外围空间的最小张力时,这种浸入称为理想浸入。

Using the soliton theory we obtain a method to contract isometric immersions from indefinite space forms into indefinite space forms with the same index.

我们利用孤立子理论得到了构造有相同指标的不定度量空间型到不定度量空间型的等距浸入的方法。

Using the soliton theory we obtain a method to contruct isometric immersions fromindefinite space forms into indefinite space forms with the same index.

靳红 ,陈维桓我们利用孤立子理论得到了构造有相同指标的不定度量空间型到不定度量空间型的等距浸入的方法。

DIP THE TERMINAL WITHIN 7mm FORM THE EDGE INTO FLUX FOR 5 TO 10 SECONDS THEN ADJUSTING THE SOLDERING TEMPERATURE TO 230±0.5℃,WIPE THE SOLDERING DREGS AND BURNED FLUX FROM THE MELTED SOLDER,NEXT DIP THE TERMINAL 5mm FROM THE EDGE ,DIP TIME 3±0.5SECONDS.

将端子前端7MM处浸入溶剂中5-10秒,并调整焊锡温度到230±5℃,然后溶解溶剂,使溶液完全燃烧,再拭去端子上的溶剂残渣,再将端子前端5MM处浸入溶剂3±0.5秒,然后拿出使其自然冷却25.4秒±6.4秒后,再将溶剂洗去,经上述步骤后,导线需符合下列情形

And we show that if such a immersion is also semi-parallel, it must be totally geodesic. Moreover the same results hold for semi-symmetric submanifolds in a nontrivial complex-space-form.

我们证明了如果它还是半平行的,则它必是全测地浸入,而且这一结果对于复射影空间和复双曲空间中的半对称浸入也成立。

First, a large class of ideal Einstein and conformally flat immersions are proved to be totally geodesic, which generalizes a theorem of Dillen on the simplest ideal immersion.

首先证明了实空间形式中一大类理想的爱因斯坦和共形平坦浸入均为全测地浸入,所得结果大大推广了Dillen等人关于欧氏空间中最简单的理想浸入定理。

Through survey carefully, we find that if depend on pouring velocity、structural shape of SEN entocoele、angle slope of outlet 、depth of infusion together to make the liquid steel in model revolution in an order flow then it can utilize this kind of energy completely.

通过仔细研究发现,只要依靠浸入式水口内腔结构形状、出口倾角、浸入深度以及浇注速度就可以使方坯连铸结晶器内钢水为旋转的涡流流动,把液态金属的流动动能利用起来。

In comparison with bugle shaped nozzle, bifurcated nozzle downward jet angle 45°, cow-nose nozzle and three-hole nozzle, in all, the last two are better than the former and bifurcated nozzle downward jet angle 45 is better than bugle shaped nozzle; Cow-nose nozzle is helpful for guaranteeing the product's quality, in order to protect jet flow from eroding the strand at narrow face, gain uniform temperature distribution at cross section and decrease heat flux, adding the block's width to 100 mm. Three-hole nozzle is advantageous to increase flux and casting speed, but should avoid weak shell thickness in the center broad. In the real production, setting the SEN's immersed depth or plugging the hole at the bottom can adjust the flow and temperature distribution in the mold.

对比喇叭形水口,双侧孔水口(45°),牛鼻子水口和三孔水口,总的说来后两者优于前两者;而双侧孔水口(45°)又优于喇叭形水口;牛鼻子水口和三孔水口比较各有特点,前者对保证铸坯质量有利,为防止流股对窄面的冲击,增加挡块宽度到100 mm,可使结晶器横截面上温度分布更加均匀,降低窄面热负荷;后者对增加流量,提高拉速非常有利,但要防止中孔射流过强导致铸坯中心坯壳变薄,在实际生产中可通过控制水口浸入深度或塞住浸入式水口的底孔来调节结晶器中的流动与温度分布状态。

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