1、

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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2、

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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3、

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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4、

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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5、

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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6、

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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7、

N-dimensional Hyperbolic Euler Formula

n维双曲Euler公式

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8、

Gives a fast border-deciding method for the two-dimensional linear discrete convolution. The convolution sum formula and its exact upper and lower borders of ten regions in the two-dimensional plane are also given.

导出了二维离散线性卷积的快速定限求解方法给出了在二维平面的十个区域中卷积的简便求和公式及卷积的上下限精确表达式。

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9、

At last, the theory of near-to-far field transformation is introduced followed by the extrapolation formula of time-harmonic field in three-dimensional. 3.

最后介绍了电磁场近远场的外推原理以及在三维情况下时谐场的外推计算公式。

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10、

In addition, Hamilton quaternion, Ma quaternion and their Euler formula similar to that of two-dimensional real signal were discussed.

讨论了Hamilton四元数、马氏四元数及其与二维实信号类似的欧拉公式。

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