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多元向量值函数求导的矩阵表示及其在人工神经网络中的应用 被引量:1
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作者 杨迪威 边家文 张玉洁 《海南大学学报(自然科学版)》 CAS 2016年第4期313-318,共6页
在介绍多元向量值函数求导的矩阵表示的基础上,给出了梯度下降法的工作原理及其训练神经网络的过程,最后通过Matlab仿真实验验证了梯度下降法的有效性.
关键词 人工神经网络 深度学习 梯度下降法 多元函数导数的矩阵表示
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Taylor公式中的Lagrange型余项R_n(x)的探讨 被引量:3
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作者 丁殿坤 边平勇 《大学数学》 2014年第6期117-119,共3页
对函数f(x)的n阶Taylor公式中的Lagrange型余项Rn(x)是否能用f(x)的(n+1)阶导数表示,又能用(n+2)阶导数表示进行了研究,得到了用f(x)的(n+1)阶导数、(n+2)阶导数表示均可的结论,从而使奇偶函数展为Taylor公式更加灵活.
关键词 TAYLOR公式 余项 导数表示 证明
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隐函数微积分的常用方法
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作者 杨勤民 《高等数学研究》 2022年第2期1-3,44,共4页
本文研究隐函数在微积分中的几种常用方法,比如化为参数方程法、导数表示法和变量替换法等,并给出了这些方法的具体使用方案、使用范围和具体例子.
关键词 隐函数 参数方程 导数表示 变量替换
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Navigation Map Data Representation and Parallel Display Algorithm in an Embedded Environment 被引量:5
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作者 ZHANG Dong WANG Ling +1 位作者 HUI Hongchao LI Heyuan 《Geo-Spatial Information Science》 2008年第1期62-65,共4页
Map data display is the basic information representation mode under embedded real-time navigation. After a navigation display data set (NDIS_SET) with several dimensions and corresponding mathematical description fo... Map data display is the basic information representation mode under embedded real-time navigation. After a navigation display data set (NDIS_SET) with several dimensions and corresponding mathematical description formula are designed, a series of rules and algorithms are advanced to optimize embedded navigation data and promote data index and input efficiency. A new parallel display algorithm with navigation data named N PDIS is then presented to adapt to limited embedded resources of computation and memory after a normal navigation data display algorithm named NDIS and related problems are analyzed, N_PDIS can synchronously create two preparative bitmapa by two parallel threads and switch one of them to screen automatically. Compared with NDIS, the results show that N_PDIS is more effective in improving display efficiency. 展开更多
关键词 embedded system map representation parallel display vehicle navigation
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Representations of Hom-Jacobi-Jordan Algebras
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作者 LIU Zhiqing ZHANG Xiufu 《湖州师范学院学报》 2024年第10期7-13,共7页
Some relationships between the representation of Hom-Jacobi-Jordan algebra and that of Jacobi-Jordan algebra are studied.Moreover,by using the notion ofαk-anti-derivation,a property theorem of multiplicative Hom-Jaco... Some relationships between the representation of Hom-Jacobi-Jordan algebra and that of Jacobi-Jordan algebra are studied.Moreover,by using the notion ofαk-anti-derivation,a property theorem of multiplicative Hom-Jacobi-Jordan algebras is also given. 展开更多
关键词 Jacobi-Jordan algebra Hom-Jacobi-Jordan algebra representation anti-derivation
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Several Derivatives of Adjoined Distributions
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作者 程麟趾 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2001年第3期362-366,共5页
A representation theorem for (x=±i0)λ lnk(x±i0) is proved and then the derivatives (lnk x±)', (xλ± lnk x±)', (x±(-n) x±1)', (d/dx){(x ± i0)λ lnk(x±i0)} and (... A representation theorem for (x=±i0)λ lnk(x±i0) is proved and then the derivatives (lnk x±)', (xλ± lnk x±)', (x±(-n) x±1)', (d/dx){(x ± i0)λ lnk(x±i0)} and (d/dx){(x±i0)-n lnk(x±i0)} are given. 展开更多
关键词 representation theorem the regularization of the divergent integral.
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Induced orbit data and induced unitary representations for complex groups
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作者 ZHANG MingJing LIANG Ke 《Science China Mathematics》 SCIE 2014年第7期1435-1442,共8页
We use induced orbit covers to define induced orbit data.By studying the space of regular functions on orbit cover,we know that the induced representation has close connection with the induced orbit datum under the me... We use induced orbit covers to define induced orbit data.By studying the space of regular functions on orbit cover,we know that the induced representation has close connection with the induced orbit datum under the meaning of Vogan’s conjecture.Therefore,when verifying Vogan’s conjecture,many cases can be reduced to the case of rigid orbit data. 展开更多
关键词 Vogan’s conjecture on quantization induced orbit covers induced orbit data unitary representations
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