dimensional formula

N-dimensional Hyperbolic Euler Formula

n维双曲Euler公式

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Based on Lorentz ′ s three dimensional power formula, an equation is formulated of movement of four dimensional electric charge in electromagnetic field for the formula to better describe the movement of electric charge under the theory of relativity.

本文从三度形式的洛仑兹力公式出发，推导出四度形式的电荷在电磁场中的运动方程，使洛仑兹力公式能够在相对论情况下很好地描述电荷的运动情况。

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In this paper, we have deduced the general diffraction transformation formula in optical 4F system, and calculated the optical intensity distribution near the imaging plate over three-dimensional space with obstacle disk model.

首先推导出光学4F系统的一般衍射变换公式，用不透明圆盘模型算出了象平面附近三维空间内的光强分布。

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Making use of the fourth-order compact difference formula of the first derivative term, anew high accuracy difference scheme for the two-dimensional convection reaction equation is proposed.

利用一阶偏导数项的四阶紧致差分算子，直接推导出了数值求解二维对流反应方程的一种新的高精度紧致差分格式。

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Objective To compare the accuracy of output factor calculation for rectangular inserts of electron beams by using three kinds of algorisms: square root, one dimensional formula and area periphery ration.

目的比较方根式、一维式和面积周长比3种方法计算的电子束矩形照射野输出因子的精确性和可行性。

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The inertia theorem of the quadratic form was conventionally proved by applying the theory of a set of linear equations ( see ( 1) p.214), or by using the dimensional formula of subspace ( see ( 2) p.335).

二次型的惯性定理通常用线性方程组理论（参见（1）P.214）或用子空间维数公式（参见（2）P.335）加以证明。

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Barnsley et al. got a dimensional formula of recurrent Fi F in the condition that the connection matrix is irreducible.

Barnsley等在关联矩阵不可约的条件下，得到了递归FIF的分形维数公式。

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This paper gives a formula of calculating the dimension of quotient space at first, based on the result, applies homomorphic theorem and isomorphic theorem I to vector space, and then gains a simple proof of dimensional formula and Sylvester theorem respectively.

本文建立了商向量空间的维数公式，在此基础上，应用同态基本定理和第一同构定理获得了对维数公式及Sylvester定理的简单、明了的证明。

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A Study on Non-dimensional Formula of Local Scour Around Bridge Piers and Abutments

无量纲桥墩局部冲刷公式分析研究

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In the three-dimensional numerical simulation, quality loss is unavoidable and the volume correction method on Zheng-model is proposed which has obvious physical meaning, does not require any empirical formula and experience factor, and is also very easy to implement.

在三维数值模拟中，由于体积损失严重，本文对Zheng模型提出了体积修正方法，该修正方法物理意义清晰，不需要任何的经验公式和经验因子，也很容易实现。

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First an improved adjoint operator method is briefly introduced. Then, a general six dimensional nonlinear system is analyzed to drive the formula of computing the third order normal form.

首先简要介绍了这种改进的共轭算子法，然后通过一般形式的六维非线性系统推导出了计算三阶规范形的公式。

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In this paper, the authors study the properties of hyperbolic Euler for-mula of Two-dimension, the four-dimensional hyperbolic Euler formula is put upin the domain timelike of four-dimensional hyperbolic complex space.

本文考察了二维双曲Euler公式的若干性质，在四维双曲复空间的拟时区建立了四维双曲Euler公式。

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