根式

一般，出现在Hirota条件中的函数Ω（p）为多项式或根式。

In general , the function Ω ( p ) appearing in the Hirota condition is polynomial or radical .

根式是一个代数表达式的一个确定的根。

A radical is an indicated root of an algebraic expression .

首次从I.利用代数结构寻找二次根式的有理化因式

Utilize Algebra Structure to Search for the Square Radical 's Rationalization Factor The First

若E是F的重复根式塔，则E包含pi次本原单位根；

If E is a repeated radical tower , then E contains the p_i_th primitive roots of unity ;

令为G的直和项且G／H∈u｝称作是G的一个子积根式.我们在本文中证明了一个子积类U由于积根式映射G→U（G）所决定。

In this paper we proved that a sub-product class U is determined by the sub-product radical mapping G → U ( G ) .

由域论的Galois理论，我们知道实系数三次方程有根式解。

Based on the Galois theory , we know the root solution of real coefficient cubic equation .

本文通过讨论Boussinesq型方程的孤子解，提供了在Ω（p）为根式情形下否定Hirota条件的一个途径。

This paper provides an approach to negating the Hirota condition in the case of radical Ω( p ) by discussing soliton solutions of the Boussinesq-type equations .

一元四次方程2种根式求解算法的精度分析

Accurate Analysis of Two Root Algorithms on Solving Quartic Equation

根式是一个代数或算术表达式的一个确定的根。

A radical is an indicated root of an algebraic or arithmetic expression .

关于纯粹方程根式解的若干结果

Several results of solutions of radicals pure equations

根式基础及根式锚碇方案构思

Scheme Conception of Root Foundation and Anchor Block

讨论了一类根式的无理性，并用数学归纳法给出了证明。

This paper discusses a type of method of radical irrational using mathematical induction .

只要你完好地把它退回，这件卡迪根式夹克衫是可以调换的。

The cardigan is certainly exchangeable as long as you return it in good condition .

根式基础力学行为分析

Mechanical Behavior Analysis on the Rootstalk Foundation

分裂域和重复根式扩张

Splitting Fields and Repeated Radical Extensions

方程与曲线论〔Ⅱ〕&高次方程分族、分群、分类的根式解

EQUATION AND CURVES ── Radical solution of the family-division , Group-division and classification of higher degree equation

根式基础用于悬索桥锚碇将成为一种新的选择。

So the root foundation can be a potential choice for the anchor block of suspension bridge .

比式判别法和根式判别法是对正项级数收敛性进行判别的两种广用的方法。

The ratio test and the root test are two widely used convergence tests for positive series .

主要研究根式函数在具有一个有限支点和多个有限支点的情况下，其函数值的计算方法。

This paper concerns the Calculation of radical function with single limited fulcrum or with multiple limited fulcrums .

根式BCI-代数的结构

Structure of P-radical BCI-Algebra

提出了降维算法，它能有效地处理带参数的根式，将维数控制在最小限度。

A dimension decreasing algorithm , which can treat radicals efficiently and make the dimensions lowest , is presented .

其次，把得出的方程两边都乘到和根式指数一样高的幂次。

Next raise both members of the resulting equation to the same power as the index of the radical .

但是，目前还没有关于根式基础的理论研究成果，有必要对根式基础的受力特性进行分析。

It is necessary to analyze the mechanical behavior of anchorage foundation due to the shortage of corresponding theoretical research .

应用光纤光栅传感网络测量桥梁根式沉井在破坏性静载荷实验中的应力变化。

Fiber Bragg Grating sensor networks were used to monitor root type caisson foundation strain parameters during a destructive static load test .

但是，涉及到公共财政时，奥斯本是一个头脑清醒的财务鹰派人士，而不是激进的里根式减税者。

But , when it comes to the public finances , Mr Osborne is a sober fiscal hawk rather than a gung-ho Reaganite tax-cutter .

反褶积γ测井特征参数α的根式计算及其与判别计算的对比研究

The comparison and research of the root formula calculation and the discriminant calculation of the specific parameter alpha in the interpretation of gamma logging by deconvolution technique

用数学分析的方法证明一类含根式的新不等式，展示了极限思想在处理一般数学问题时的深刻性。

With mathematical analyses , this paper proves one kind of new inequality including radical , which shows the profound of limit in dealing with normal mathematics problems .

研究发现线性插值方法更适用于4次根式相关，时差相对误差可小于2/1000；

It has been found that linear interpolation is more suitable for 4th root stack , and the relative slowness error could be less than 2 / 1000 ;

麦凯恩阵营同样在忙着将其塑造成一位里根式的人物：具有坚强的意志，清晰的远见，能将大事办好。

The McCain camp is equally busy painting Mr McCain as a Reagan & a figure with the strength of character and clarity of vision to get the big issues right .

本文讨论CASS1的几个重要算法，包括：有理表达式的规范化简算法、非嵌套根式表达式的规范化简算法以及一类超越表达式的化简算法等。

In this survey , we only discuss some important algorithms for the CASSI , including rational expression canonical simplification algorithm , unnested radical expression canonical simplification algorithm and one species transcendental expression simplification algorithm .