1) Quintuple-product identity
五重积恒等式
2) Jacobi triple product identity
Jacobi三重积恒等式
1.
By this integral and Jacobi triple product identity, a new proof of the Rogers-Ramanujan identities is given.
本文主要做了如下工作： 第一、本文从q-二项式定理出发，利用两个恒等式计算了一个重要的q-Beta积分，然后再结合Jacobi三重积恒等式，给出了Rogers-Ramanujan恒等式的一个新证明。
2.
q-series theory of the development of more than two hundreds, Jacobi triple product identity is one of very important q-series identities.
本文将分别用算子,构造函数,二项式系数的残数表示证明Jacobi三重积恒等式。
3) integral identity
积分恒等式
1.
In this paper,the high accurate integral identity is studied for the Lagrane finite element of two-point boundary value problem of elliptic differential equation.
本文研究了椭圆方程两点边值问题Lagrange有限元的高精度积分恒等式,通过插值后处理技术,得到了如下的整体超收敛的结果:‖∏2m2huh-u‖l≤Chm+2-l‖u‖m+1,l=0,1。
2.
A unique solvability of the source term solution is obtained by applying integral identity methods.
应用积分恒等式方法，证明了源项解的唯一存在性 。
3.
The high accuracy integral identity is studied for the cubic Hermite finite element of two-point boundary value problem of fourth-order equations.
研究了四阶方程两点边值问题三次Hermite有限元的高精度积分恒等式。
4) integral identities
积分恒等式
1.
By means of integral identities and boundary estimates techniques,the optional error estimation is presented for hyperbolic equation.
运用具有各向异性特征的非协调元(修正的旋转Q1元)对二阶双曲方程进行了Galerkin逼近,通过采用积分恒等式和边界估计技巧,得到了相应的最优误差估计。
2.
Meanwhile, the superclose result coincides with the conventional methods is obtained by means of integral identities techniques.
利用具有各向异性特征的双线性元和双二次元对Sobolev方程进行Galerkin逼近,摆脱了对网格剖分满足正则性条件的要求,同时,利用积分恒等式技巧,得到了与传统方法相同的超逼近结果。
3.
By means of integral identities and boundary estimates techniques,the optional error estimation is presented for hyperbolic equation.
运用具有各向异性特征的非协调元(修正的旋转元Q1)对二阶双曲方程进行了Galerkin逼近,通过采用积分恒等式和边界估计技巧,得到了相应的最优误差估计。
5) Integral identity method
积分恒等式方法
6) differentio-integral identity
微分-积分恒等式
1.
In this paper, we establish a differentio-integral identity, and generalize some classical Sturm theorems by using it.
建立了一个微分-积分恒等式,并利用它推广了一些经典的Sturm定理。
补充资料：五积
五积 五积 病名。五脏积证之总称。《难经·五十六难》载五脏之积：肝之积名曰肥气，心之积名曰伏梁，脾之积名曰痞气，肺之积名曰息贲，肾之积名曰贲豚。后世称为五积。详见各条。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条