Discrete Euler integration over functions on finite categories

Tanaka Kohei

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Discrete Euler integration over functions on finite categories

机译：有限类别上函数的离散Euler积分

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This paper provides the theory of integration with respect to Euler characteristics of finite categories. As an application, we use sensors to enumerate the targets lying on a poset. This is a discrete analogue to Baryshnikov and Ghrist's work on integral theory using topological Euler characteristics. (C) 2016 Elsevier B.V. All rights reserved.

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《Topology and its applications》 |2016年第15期|185-197|共13页
作者
Tanaka Kohei;
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作者单位

Shinshu Univ, Acad Assembly, Sch Human & Social Sci, Inst Social Sci, Matsumoto, Nagano, Japan;

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原文格式 PDF
正文语种 eng
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关键词
Euler integration; Euler characteristic; Finite categories; Sensor networks;

机译：欧拉积分欧拉特征有限类别传感器网络;

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专利

1. Finiteness obstructions and Euler characteristics of categories [J] . Fiore T.M., Lück W., Sauer R. Advances in Mathematics . 2011,第3期

机译：类别的有限性障碍和欧拉特征
2. Discrete approximations on functional classes for the integrable nonlinear Schrodinger dynamical system: A symplectic finite-dimensional reduction approach [J] . Cieslinski Jan L., Prykarpatski Anatolij K. Journal of Mathematical Analysis and Applications . 2015,第1期

机译：积分非线性Schrodinger动力系统功能类的离散近似：辛有限维约简方法
3. Strong convergence of the linear implicit Euler method for the finite element discretization of semilinear non-autonomous SPDEs driven by multiplicative or additive noise [J] . Mukam Jean Daniel, Tambue Antoine Applied numerical mathematics . 2020,第Jana期

机译：线性隐式欧拉方法的强收敛性，用于乘性或相加噪声驱动的半线性非自治SPDE的有限元离散化
4. Discrete-to-discrete prolate spheroidal wave functions and finite duration discrete fractional fourier transform [C] . Soo-Chang Pei, Jian-Jiun Ding European Signal Processing Conference . 2007

机译：离散到离散的扁长球面波函数和有限持续时间的离散分数阶傅里叶变换
5. Extending the preventive engineering paradigm to the analysis and design of discrete product manufacturing systems: The role of functional integration in the production of social and psychological outputs. [D] . Benda, Peter Josef. 1997

机译：将预防性工程范式扩展到离散产品制造系统的分析和设计：功能集成在社会和心理产出生产中的作用。
6. Euler integration over definable functions [O] . Yuliy Baryshnikov, Robert Ghrist 2010

机译：欧拉集成可定义函数
7. Discrete Euler integration over functions on finite categories [O] . Tanaka, Kohei 2015

机译：有限类别上的函数的离散Euler积分

Discrete Euler integration over functions on finite categories

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