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1)  projective remainders
投影余项
1.
It is proved that polynomial reproducing kernels with arbitrary functional constraints can be obtained via the projective remainders of reproducing kernels with initial value constraints.
讨论多项式再生核的构造与计算,指出了带任意泛函约束的多项式再生核可由带初值约束的再生核取两次投影余项而得到,并建立了具体的计算方法。
2)  Redundant projection
冗余投影
1.
The algorithm eliminates effectively redundant projection in the process of constructing project database by computing discrete interval so that the size of the project database was reduced,searching and counting efficiency of the subtree nodes was improved,and its time-space complexity was reduced.
该算法通过离散区间消除冗余投影,有效地压缩投影库的规模,提高了子树节点计数效率,减低了算法的时空复杂性。
3)  projection modulus of residual vector
残余向量投影范数
1.
Then with the use of general inverse and matrix projection theorem,a new parameter with good identification effect is deduced,which is called projection modulus of residual vector,and with which the damaged element is easily identi.
为了找到一个对小损伤较敏感的参数,在结构自由振动微分方程基础上,结合损伤结构的测试数据(用有限元模型的计算结果来模拟),得到残余向量,利用广义逆和矩阵投影定理,导出了一个具有很好识别效果的参数:残余向量投影范数。
4)  maximal frequent item sets projection
最大频繁项集投影
5)  remainder term
余项
1.
The Lagrange interpolation polynomial and its remainder term in space Rs are discussed.
讨论了Rs空间中的Lagrange插值多项式及其余项。
2.
Taylor Fomular is very important in numerical calculation, and it s remainder term reflects approximate degree of polynomial Q_n(x) to function f(x).
Taylor公式在数值计算中占有很重要的地位;它的余项反映了多项式Qn(x)逼近函数f(x)的程度。
3.
A new concept of algebraic precision of numerical differentiation formulae was introduced, and a new method of solving numerical differentiation formulae and its remainder term were obtainel by using waiting-decision coefficient method.
提出了数值微分公式的代数精度的概念,给出了利用待定系数法确定数值微分公式,并求出其余项的一种新方法。
6)  remainder [英][rɪ'meɪndə(r)]  [美][rɪ'mendɚ]
余项
1.
Asymptotic behavior theorem of the "midpoint" of remainder in the trapezoidal rule and its application;
梯形公式余项“中间点”的渐进性定理及其应用
2.
Regarding the two-dimensional interpolation question,this paper,with the analysis method based on the thought falling dimension,deduces the interpolation multinomial of binary function f(x,y),analyzes the interpolation error,and obtains the remainder of the i.
对于二维插值问题,文章用基于降维思想的分析方法推导出二元函数F(X,Y)的插值多项式,并对插值误差作了分析,得到插值多项式的余项,用来对计算结果进行误差估计。
3.
The asymptotic behavior theorem of the remainder"midpoint" in the Simpson formula is presented in this paper.
通过对辛甫生公式余项的研究,给出了辛甫生公式余项"中间点"的渐进性定理,利用此定理得到了一个改进的辛甫生公式。
补充资料:滤波反投影或卷积反投影


滤波反投影或卷积反投影


影像学术语。当代影像学设备进行影像重建的数学方法。在直接用扫描后所获得的投影轨迹剖面图反投影重建出的CT图像中,无法避免角度卷入条纹伪影(angular aliasing streaks)造成的模糊和失真。这种现象与被扫描层面的空间频率中高频信息的损失有关。使用一种精密的数学方法去除这种模糊。称为“展现”(unfolding)或去卷积(deconvolution),即在反投影前使用一种数学的“滤器”或卷积函数对原始数据进行修正,然后再进行反投影。两步数学处理过程合称为滤波(修正后)反投影或卷积(后)反投影。这种方法的优点是处理过程简单,速度快,所得图像逼真、清晰。
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