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1.Combining the symmetry principle of DFT(Discrete Fractional Fourier Transform) operation with even numbers,expands the one-dimensional symmetry principle in MA-CDFRFT algorithm to the two-dimensional plane of frequency and transform the order according to the mathematical derivation.
结合偶数点离散傅里叶变换DFT(Discrete Fourier Transform)运算的对称性原理,通过数学推导将MA-CDFRFT算法中的一维对称性扩展到频率和变换阶数的二维面上.收藏指正
2.By the help of geometric significance of plane or space curve and space surface, and by use of the symmetry of curve and surface to coordinate axis and coordinate surface, how to use the symmetry to calculate the surface integral and curve integral is discussed for the odd (even) functions that are defined on the curve or surface with symmetry.
摘要借助于(面)空间曲线及空间曲面的直观几何意义,利用曲线、曲面关于坐标轴及坐标面的对称性,探讨了对于定义在具有对称性的曲线、曲面上的奇(偶)函数,如何利用对称性计算曲线积分及曲面积分。收藏指正
3.In the case of reflection, this symmetry depends on whether a quarter wavelength fits an even or an odd number of times in the layer thickness.
而在反射的情况下,这一对称性由薄膜厚度为1/4波长的奇数或偶数倍决定。收藏指正
4.In this paper,the author completely determines the index set of maximum density for the class of ?n? order non?symmetric imprimitive irreducible Boolean matrix with at least one pair of nonzero symmetry entries and whose given period is two. The main results are the following :(ⅰ)if ?n(>3)? is even, then ??H?n=?{2,3,4,5,...,2n-5,2n-4};
证明了至少有一对非零对称元但非对称且周期为2的n阶非本原不可约布尔矩阵所成的类的最大密度指数集是:(ⅰ)若n(>3)是偶数,则Hn={2,3,4,5,…,2n-5,2n-4};收藏指正
5.Although it is possible that new attempts to estimate the vacuum energy density may yield just the right amount to explain cosmic acceleration, many theorists believe that a correct calculation, incorporating a new symmetry principle, will lead to the conclusion that the energy associated with the quantum vacuum is zero. (Even quantum nothingness weighs nothing!
虽然新的估算有可能得到能解释加速膨胀现象的真空能量密度,但多数科学家相信,经过正确的计算再配上新的对称性原理,得到的量子真空能量将会是零(量子真空亦是空)。收藏指正
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