5,132 research outputs found
An observation on spaces with a zeroset diagonal
summary:We say that a space has the discrete countable chain condition (DCCC for short) if every discrete family of nonempty open subsets of is countable. A space has a zeroset diagonal if there is a continuous mapping with , where . In this paper, we prove that every first countable DCCC space with a zeroset diagonal has cardinality at most
Matrix of Polynomials Model based Polynomial Dictionary Learning Method for Acoustic Impulse Response Modeling
We study the problem of dictionary learning for signals that can be
represented as polynomials or polynomial matrices, such as convolutive signals
with time delays or acoustic impulse responses. Recently, we developed a method
for polynomial dictionary learning based on the fact that a polynomial matrix
can be expressed as a polynomial with matrix coefficients, where the
coefficient of the polynomial at each time lag is a scalar matrix. However, a
polynomial matrix can be also equally represented as a matrix with polynomial
elements. In this paper, we develop an alternative method for learning a
polynomial dictionary and a sparse representation method for polynomial signal
reconstruction based on this model. The proposed methods can be used directly
to operate on the polynomial matrix without having to access its coefficients
matrices. We demonstrate the performance of the proposed method for acoustic
impulse response modeling.Comment: 5 pages, 2 figure
Study on the Value Evaluation of Intellectual Property Pledge Financing
As an intangible asset, intellectual property can not only improve the asset value of the company, but also obtain financing through pledge. Especially for some small and medium-sized technology-based companies in China, intellectual property financing has become one of their important ways. However, at present, there are still some problems in the value evaluation of intellectual property pledge financing, such as the uncertainty of intellectual property rights, the lack of a unified evaluation system, the lack of relevant laws and regulations, etc., which have caused certain difficulties to the value evaluation of intellectual property rights. At present, the income method is mainly used in the value evaluation of intellectual property pledge financing in China. Taking Hangzhou Xiye Technology Co., Ltd. as an example, this paper studies the applicability of this value evaluation method, points out relevant problems, and puts forward relevant suggestions, so as to improve the value evaluation level of intellectual property pledge financing in China
Study on the Value Evaluation of Intellectual Property Pledge Financing
As an intangible asset, intellectual property can not only improve the asset value of the company, but also obtain financing through pledge. Especially for some small and medium-sized technology-based companies in China, intellectual property financing has become one of their important ways. However, at present, there are still some problems in the value evaluation of intellectual property pledge financing, such as the uncertainty of intellectual property rights, the lack of a unified evaluation system, the lack of relevant laws and regulations, etc., which have caused certain difficulties to the value evaluation of intellectual property rights. At present, the income method is mainly used in the value evaluation of intellectual property pledge financing in China. Taking Hangzhou Xiye Technology Co., Ltd. as an example, this paper studies the applicability of this value evaluation method, points out relevant problems, and puts forward relevant suggestions, so as to improve the value evaluation level of intellectual property pledge financing in China
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