New criteria-based ℋ-tensors for identifying the positive definiteness of multivariate homogeneous forms [PDF]
Open Mathematics, 2021 Positive definite polynomials are important in the field of optimization. ℋ-tensors play an important role in identifing the positive definiteness of an even-order homogeneous multivariate form.
Sun Deshu, Bai Dongjian
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An ℋ-tensor-based criteria for testing the positive definiteness of multivariate homogeneous forms
Open Mathematics, 2022 A positive definite homogeneous multivariate form plays an important role in the field of optimization, and positive definiteness of the form can be identified by a special structured tensor.
Bai Dongjian, Wang Feng
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Mathematics, 2022 Positive definite homogeneous multivariate forms play an important role in polynomial problems and medical imaging, and the definiteness of forms can be tested using structured tensors.
Dongjian Bai, Feng Wang
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Azimuth-Based Assessment of Spatial Orientation Performance: A Diagnostic Tool for Cognitive Impairment [PDF]
Interdisciplinary Journal of Virtual Learning in Medical Sciences, 2021 Background: Geographical/geometric indicators like azimuth provide a real-time and low-cost method of measuring spatial performance during navigation, especially in view of their accessibility on mobile phones in the form of a compass or GPS.
Zainab Gorzinmataee +3 more
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AIMS Mathematics, 2021 <abstract><p>Positive definite polynomials are important in the field of optimization. $ \mathcal{H} $-tensors play an important role in identifying the positive definiteness of an even-order homogeneous multivariate form. In this paper, we propose some new criterion for identifying $ \mathcal{H} $-tensor.
Dongjian Bai, Feng Wang
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Obtaining Forest Biomass for Energy Purposes as an Enterprise Development Factor in Rural Areas
Applied Sciences, 2021 This article presents how selected factors related to forest biomass affect enterprise development in rural areas. The study used a multivariate analysis of variance (ANOVA), as well as the AHP operational research method.
Kamil Roman +3 more
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Assessing the Adaptability of the Level of Distributive Justice in Infrastructure-Services with the Competitive Advantage of Rural Areas (Case Study: Ardabil Townshi ) [PDF]
جغرافیا و آمایش شهری منطقهای, 2022 The dominant planning system of the country is based on two main currents of physical planning and medium-term social-economic development plans (5-year sector-oriented programs) and in some cases with unfair allocation of resources and Facilities to ...
Mohammadjavad Abbasi, Farhad Azizpour
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Climatic Zoning of the Southern Coastline of the Caspian Sea Using Multivariate Statistical Methods [PDF]
جغرافیا و برنامهریزی محیطی, 2023 Identifying homogeneous climatic zones plays an important role in the success of regional development programs. The climate system is composed of various elements, factors, and variables that together form the climatic components of a region.
Hadis Sadeghi +3 more
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Filomat, 2020 In this paper, we establish a sharp Z-eigenvalue inclusion set for even-order real tensors by Z-identity tensor and prove that new Z-eigenvalue inclusion set is sharper than existing results. We propose some sufficient conditions for testing the positive definiteness of multivariate homogeneous forms via new Z-eigenvalue inclusion set ...
Wang, Gang, Sun, Linxuan, Wang, Yiju
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Disease-related changes in the cerebrospinal fluid metabolome in amyotrophic lateral sclerosis detected by GC/TOFMS. [PDF]
PLoS ONE, 2011 The changes in the cerebrospinal fluid (CSF) metabolome associated with the fatal neurodegenerative disease amyotrophic lateral sclerosis (ALS) are poorly understood and earlier smaller studies have shown conflicting results.
Anna Wuolikainen +4 more
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