上面这个是f的等高线，黄色的就是双曲线。
That is the contour plot of f with a hyperbola on top of it.
双曲线逐渐接近它的渐近线但不相交。
本论文是在研究三角形的双曲线的理论。
The purpose of this thesis is to study the theory of hyperbolas of triangles.
二是采用双曲线正切函数柔化输入矢量。
Another is to intenerate the input vectors by hyperbola tangent function.
如果你们看这里所有的双曲线的话，xy等于常数。
Well, if you look at all these hyperbola's, xy equals constant.
降雨和透明度存在明显的双曲线相关关系。
There is obvious hyperbolic relationship between precipitation and Secchi Disk depth.
由四点作双曲线。
用双曲线模型拟合了摩阻力与相对位移之间的关系。
The relationship between shaft resistance and relative displacement is fitted with a hyperbolic model.
它的双曲线钢筋混凝土外形成了发电站的典型标志。
Its hyperbola ferroconcrete appearance became the typical symbol of power station.
一致的斜面从地板慢慢升起到二十四米高的拱形双曲线。
There was a uniform slope to the floor that gently rose and then arced up hyperbolically a dozen meters.
这本书对于守恒定律的双曲线的体制献身于有限体积法。
This book is devoted to finite volume methods for hyperbolic systems of conservation laws.
绘制双曲线的仪器在教学及工程绘图方面具有实际意义。
The instrument to draw hyperbola has great significance for teaching and engineering drawing.
含氯量和孔隙度之间的关系图式也许近似于一条双曲线。
The relation between the chlorinity and porosity may be approximated by a hyperbola.
回归相关系数表明，双曲线动力学方程与反应能较好地吻合。
The correlation coefficient shows that obtained hyperbolic kinetic equation is fitting well with the reaction.
此外，他们会发现推迟享乐很困难，就像经济学家用双曲线贴现假设的那样。
Moreover, they may find it difficult to defer gratification or, as economists like to put it, they use hyperbolic discounting.
则会得到一个正交双曲线，原点与它最接近的点之间的距离是r。
You will have drawn a rectangular hyberbola whose point of closest approach to the origin is r.
它的屋顶是混凝土顶部的花园，经过优化计算设计了一部分双曲线拱门。
Its roof is a garden that lies on top of the concrete volts, where optimised calculations have drawn a section of hyperbolic arches.
指数曲线方程、双曲线方程以及调和曲线方程常用来数学表达递减曲线。
Exponential, hyperbolic, and harmonic curve equations are often used to mathematically express the decline curve.
为了消除端点和假频影响，文中采用了双曲线速度滤波法和相似系数法。
Hyperbolic velocity filtering and similar coefficient method are introduced to remove the influences resulting from end-point effect and alias.
本文将分别对双曲线、抛物线的参数方程阐述几何意义(见例2、例3)。
This paper describes the geometric meaning for the parametric equation of hyperbola and parabola, respectively (see examples 2 and 3).
球面上共焦点之椭圆、双曲线，在球心投影中仍投影成共焦椭圆、双曲线。
The cofocal ellipse and hyperbola of spherical surface will also be projected into the cofocal ellipse and hyperbola in gnomonic projection.
从代数及几何角度探索了与双曲线仅交于一点的直线的条数，并给出了一般结论。
This paper probes into the number of straight lines which intersects hyperbola only in one point from algebra and geometry perspectives, and provides the general conclusion.
来看一下这一点，这里双曲线和圆刚好接触的地方，首先，我不知道我要看的是圆上面的哪一点。
If you look at this point where the hyperbola and the circle touch each other, first of all, I don't know which circle I am going to look at.
反双曲线函数（asinh、acosh、atanh、acoth、asech、acsch）
Inverse hyperbolic (asinh, acosh, atanh, acoth, asech, acsch)
这些代数条件表示为由椭圆与抛物线，椭圆与双曲线确定的广义特征多项式的根的分布。
The algebraic condition can be represented by the distribution of the roots of the generalized characteristic equation of the ellipse and parabola (hyperbola).
现有三类不同的临界速度模型，包括双参数双曲线模型、三参数双曲线模型或三参数指数模型。
There are three different CV models that including the two-parameter hyperbolic model, the three-parameter hyperbolic model and the three-parameter exponential model.
本文运用流体射流原理，对新型双曲线煤烧珍珠岩膨胀炉进行了分析探讨，并从实例进行了分析验证。
In this Paper, a new tyPe of hyperbolic coal furnace of Pearlite expansion is discussed according to the principle of fluidics. Living examples are used for verification.
提出了描述松软地面剪切特性的双曲线模型、改进的双曲线模型、纯指数模型和确定它们的参数的方法。
A hyperbola model, a modified hyperbola model and a exponential model for describing shear property of soft terrain and methods for determining their parameters are presented.
工程实践表明，常规双曲线法即增量双曲线法推算沉降往往小于实际沉降，且需要较长时间的沉降资料。
It is proven by many projects that the predicted settlement using normal hyperbolic method that is incremental hyperbolic method is often less than real final settlement.
工程实践表明，常规双曲线法即增量双曲线法推算沉降往往小于实际沉降，且需要较长时间的沉降资料。
It is proven by many projects that the predicted settlement using normal hyperbolic method that is incremental hyperbolic method is often less than real final settlement.
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