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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An ℋ-tensor-based criteria for testing the positive definiteness of multivariate homogeneous forms
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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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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Azimuth-Based Assessment of Spatial Orientation Performance: A Diagnostic Tool for Cognitive Impairment [PDF]
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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Obtaining Forest Biomass for Energy Purposes as an Enterprise Development Factor in Rural Areas
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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Some aspects of non-standard multivariate analysis [PDF]
A broad review is given of some areas of multivariate analysis that are not frequently emphasized. We start with situations in which underlying distributions are far from multivariate normal form, so that standard methods of multivariate analysis based ...
Battey, Heather +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]
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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Disease-related changes in the cerebrospinal fluid metabolome in amyotrophic lateral sclerosis detected by GC/TOFMS. [PDF]
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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Climatic Zoning of the Southern Coastline of the Caspian Sea Using Multivariate Statistical Methods [PDF]
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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Optimization of the multivariate polynomial public key for quantum safe digital signature
Kuang, Perepechaenko, and Barbeau recently proposed a novel quantum-safe digital signature algorithm called Multivariate Polynomial Public Key or MPPK/DS.
Randy Kuang, Maria Perepechaenko
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