查询词典 birational invariant

In order to adapt to complex background better, a photometric invariant color based multi-layer foreground detection method was proposed.

为了更好地适应复杂背景，提出了一种基于光照不变颜色特征的多层前景检测方法。

Because the optical system of optical characteristics and the nature of the launch of the optical microscope is not the true meaning of the linear shift-invariant systems, the PSF is usually perpendicular to the optical axis in the xy plane was the distribution of radial symmetry, but the direction along the z axis significant expansion.

因为光学系统的特点和发射光的性质决定了光学显微镜不是真正意义上的线性移不变系统，所以PSF通常在垂直于光轴的x-y平面上呈径向对称分布，但沿z光轴方向具有明显的扩展。

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

The attitude error equation for the polar gyro is linear time-invariant, and that for the equator gyro is linear and time varying. Furthermore, they are independent of each other.

极轴陀螺的姿态误差方程是线性定常的，赤道陀螺的姿态误差方程是线性时变的，并且极轴陀螺与赤道陀螺的姿态误差方程是相互独立的。

Inchapt 3,we study construction of the invariant polynomial ring oftrace map associated with substitution.We solve this problem whensubstitution is invertible,give a basic theorem.

第三章研究结合代换的迹映射的不变多项式所形成的环，解决了代换为可逆的情形的环的结构问题，并给出了有关的基本定理。

Why does the field force is in inverse proportion to the square of the distance between the two masses, but not to three or four power of ones and to prefigure that the constant G of the gravitation isn't invariant.

概述：此文章描述了引力的动力过程，阐述了引力质量是惯性质量的一种表现形式；场力为什么与作用距离的平方成反比，而不是与三次方、四次方成反比；并预示了万有引力常数G并不是真正不变的常量等等。

The gravitational mass is an embodiment of the inertial ones. Why does the field force is in inverse proportion to the square of the distance between the two masses, but not to three or four power of ones and to prefigure that the constant G of the gravitation isn't invariant.

概述：此文章描述了引力的动力过程，阐述了引力质量是惯性质量的一种表现形式；场力为什么与作用距离的平方成反比，而不是与三次方、四次方成反比；并预示了万有引力常数G并不是真正不变的常量等等。

Linear preserver problems is to study the linear maps leaving some properties of elements in algebras invariant.

算子代数上的线性保持问题是研究保持算子代数中元素的某种特征不变的线性映射。

For example, quadratic curve and quadric surface are used as primitive element in most modeling/CAD system. The implicit formulae for computing the intrinsic geometric invariant??

随着对参数曲线曲面研究的深入，早在80年代初苏步青教授等就将几何不变量的研究引入并应用到参数曲线、曲面的研究中，取得了重要的成果［1？

Considering the effect of the stress Lode angle or the third stress invariant, the author presents a new yield function and develops the Ohta-Sekiguchi's elasto-plastic model and Sekiguchi-Ohta's elasto-viscoplastic model to be a true three-dimensional model. This new model can take account of the effects of anisotropy induced by initial anisotropically consolidated state and the rotation of principal stress axes.

在太田-关口弹塑性模型及关口-太田弹粘塑性模型基础上，考虑应力劳台角的影响，提出软土真正三维应力空间的各向异性弹塑性及弹粘塑性本构方程（模型中各向异性主要指初始各向不等压应力状态所诱发的各向异性），这是对太田-关口弹塑性模型及关口-太田弹粘塑性模型的进一步发展。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48