Results 11 to 20 of about 289,909 (310)
Inner Product over Fuzzy Matrices [PDF]
The purpose of this study was to introduce the inner product over fuzzy matrices. By virtue of this definition, α-norm is defined and the parallelogram law is proved.
A. Nagoor Gani +2 more
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Observing a changing Hilbert-space inner product
In quantum mechanics, physical states are represented by rays in Hilbert space H, which is a vector space imbued by an inner product 〈|〉, whose physical meaning arises as the overlap 〈ϕ|ψ〉 for |ψ〉 a pure state (description of preparation) and 〈ϕ| a ...
Salini Karuvade +2 more
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Inner Product Masking Revisited [PDF]
Masking is a popular countermeasure against side channel attacks. Many practical works use Boolean masking because of its simplicity, ease of implementation and comparably low performance overhead. Some recent works have explored masking schemes with higher algebraic complexity and have shown that they provide more security than Boolean masking at the ...
Balasch, Josep +2 more
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Decentralized Inner-Product Encryption with Constant-Size Ciphertext
With the rise of technology in recent years, more people are studying distributed system architecture, such as the e-government system. The advantage of this architecture is that when a single point of failure occurs, it does not cause the system to be ...
Yi-Fan Tseng, Shih-Jie Gao
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$C^{*}$-semi-inner product spaces [PDF]
In this paper, we introduce a generalization of Hilbert $C^*$-modules which are pre-Finsler modules, namely, $C^{*}$-semi-inner product spaces. Some properties and results of such spaces are investigated, specially the orthogonality in these spaces will ...
Saeedeh Shamsi Gamchi +2 more
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Inner product of fuzzy vectors [PDF]
Abstract The inner product of vectors of non-normal fuzzy intervals will be studied in this paper by using the extension principle and the form of decomposition theorem. The membership functions of inner product will be different with respect to these two different methodologies.
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On the Semi-Group Property of the Perpendicular Bisector in a Normed Space
Let (X,d) be a metric linear space and a∈X. The point a divides the space into three sets: Ha = {x ∈ X: d(0,x) < d(x,a)}, Ma = {x ∈ X: d(0,x) = d(x,a)} and La = {x ∈ X: d(0,x) > d(x,a)}. If the distance is generated by a norm, Ha is called the Leibnizian
Gheorghiță Zbăganu
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Discussion on the Supervision Mode of Quality and Safety Risk of Consumer Products
In recent years, China, as the world’s largest consumer products manufacturing country, has more and more consumer quality and safety incidents. By analyzing and constructing the supervision mode of quality and safety risks of consumer products, this ...
Chen Wenjie +6 more
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The Process of Museum Digitization Technology [PDF]
Museum digitization, the process of utilizing digital technology to record, manage, and showcase museum collections, represents a significant transformation in the modes of cultural and historical heritage preservation.
Xia Qi, Wang Qian, Xue Jialu
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L$_p$-C$^*$-Semi-Inner Product Spaces [PDF]
This article introduces the notion of L$_p$-C$^*$-semi-inner product space, a generalization of the concept of C$^*$-semi-inner product space introduced by Gamchi et al., where we consider H\"{o}lder's inequality instead of Cauchy Schwartz' inequality ...
Zakiye Khalili +3 more
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