极限

As corollaries, we obtain some strong limit theorems for the frequencies of occurrence of states and ordered couples of states for the even-odd Markov chain fields and Markov chain fields.

作为这一类强极限定理的推论得到了状态和状态序偶出现频率的一类强极限定理。

Theorem 1 ( Uniqueness of Limit ) If the sequence is convergent, then its limit is unique.

定理1 ( 极限的唯一性 ) 如果数列收敛, 那么它的极限唯一.

The utmost drawing strength of direct assembling bolt in particleboard, medium density fiberboard and bamboo glue-laminated panel is about 23.1%, 39.1% and 36.3% bigger than that of nylon inbuilt nut respectively.

直接拧入式螺杆的极限抗拔力比尼龙预埋螺母的极限抗拔力高，刨花板、中密度纤维板、竹集成材三种基材分别约高出21.3%、39.1%、36.3%。

The speed limit is 40 miles an hour. Don't exceed this maximum.

限速每小时四十英里, 不要超过这个极限.

It is neither the limit of sequence nor the limit of function, but it is a special limit in which it seems the description of variable and the change process of variable are not clear.

它既不是数列极限，也不是函数极限，而是一段特殊的极限。变量的描述比较模糊，没有清晰的变化过程。

Firefighters are being stretched to the limit as fire sweeps through the drought-stricken state.

火势在这个遭受旱灾的州里迅速蔓延，消防队员疲于应对，接近极限。

The experimental results show that 0.2% yield shear stress, ultimate shear stress and 0.2% yield tensile stress, ultimate tensile stress under torsion tension combined high strain rate decrease with increasing temperature.

试验结果表明：该材料在高应变率扭拉复合加载下的名义剪切屈服强度、剪切强度极限和名义拉伸屈服极限、拉伸强度极限均随温度的升高而降低。

I can be very patient, and then I can burst if my nerves are worn out.

我很有耐心，可如果我的承受力到了极限，我就撑不住了。

In actual trial flight, want to define the limit of safe flight, must exceed the limit.

在实际的试飞中, 要确定安全飞行的极限, 就必须超过极限.

I knew he was pushing himself to the limit and felt rather anxious.

我知道他正把自己逼到极限，而且感觉非常焦虑。

Fire resistance of composite slab has been calculated using a kind of numeric method.

采用数值算法计算了组合板的耐火极限,同时分析了影响组合板耐火极限的参数.

He was found to be three times over the limit.

他血液中的酒精浓度是允许极限的3倍。

She reached the end of endurance.

她到了忍受的极限.

We say the gas becomes ideal in the zero-density limit.

我们说在零密度的极限条件下,气体变成理想的.

Using the improved model, an ultimate bending moment formula is presented.

在梁的极限分析中采用新的刚塑性模型, 推导出极限弯矩公式.

Discussion on the Teaching Method of Limit Concept in Advanced Mathematics

极限概念的辩证法探讨高等数学中极限概念教法探讨

The limit of Russian endurance was reached.

俄国人的忍耐力到了极限.

Financially, that country has passed the point of no return.

从金融角度看, 该国已经越过了极限点,有去无回了.

The legal document containing performance and operating limits, operating procedures, and takeoff and landing performance.

包合性能极限,操作极限, 操作程序, 起飞和着陆性能等资料的法定文件.

Even in this limit, gases still show small deviations from the equation.

既使在这样的极限条件下, 气体仍然对方程表现出小的偏差.

The siren also reaches its pinnacle and then suddenly goes off.

警报声达到极限,然后嘎然而止.

However, the ideal-gas scale still depends on the limiting properties of gases.

然而, 理想气体温标还和气体的极限性质有关.

Week 2 Limit of number sequence. Limit of function. infinity and infinitesimal.

第2周数列的极限. 函数的极限. 无穷小与无穷大.

The car has reached its terminal speed and can run faster no longer.

这辆车的速度已达到了极限,不能再跑更快了.

He, too, tackled the notions of limit and continuity.

他也抓住了极限和连续性的概念.

The ultimate parameter of spontaneous combustion in goaf of fully mechanized coal faces are the lower oxygen concentration 、 the maximal air leak intensity 、 the least thickness of loss coal and the ultimate speed of working face advancing.

确定了综采面采空区遗煤自燃的极限参数：下限氧浓度、极限漏风强度、最小浮煤厚度和工作面推进的极限推进速度。

Based on the constitutive law of confined concrete, the axial compression ultimate analysis of the circular concrete column with spiral hoop is investigated, and the calculated methods of the ultimate compressive capacity and the ultimate deformation are presented.

本文利用侧限混凝土的本构关系，对采用螺旋箍筋的混凝土圆柱在单调轴压荷载作用下进行极限状态分析，并提出了极限承载力和极限变形的计算方法。

By applying the canonical correlation decomposition of matrix pairs, the necessary and sufficient conditions for the existence of the lim λ→ 0 X(λ I+ YAX)-1 Y are obtained, some applications are presented.

借助于矩阵对的标准相关分解，导出了极限limλ→0X（λI+YAX）-1Y存在的充分必要条件，在极限存在的情况下，给出了极限的表达式，并讨论了结果的一些应用。

Ingelfinger noted that almost all illnesses are self-limiting.

他指出,几乎所有的疾病本身都有一定的极限.

Week 3 Limit algorithm. two important limits and comparison of infinitesimal.

第3周极限运算法则. 两个重要极限.无穷小的比较.