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The Matrix Approach to Patellar Instability. [PDF]
CureusPatellar instability is a challenging orthopedic condition affecting both pediatric and adult populations. The diagnosis and treatment of this condition present challenges for surgeons because of the multitude of classifications and treatment options available in the literature, leading to potential confusion in treatment strategies.
Almessabi T +4 more
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The risk matrix approach: a helpful tool weighing probability and impact when deciding on preventive and diagnostic interventions [PDF]
BMC Health Services Research, 2022 Background Clinical guidelines are developed to lower risks, mostly viewed upon as probability. However, in daily practice, risk is perceived as the combination of probability and the impact of desired and adverse events.
Stéphanie M. P. Lemmens +4 more
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Matrix approach to solve polynomial equations
Results in Applied Mathematics, 2023 Polynomials are widely employed to represent numbers derived from mathematical operations in nearly all areas of mathematics. The ability to factor polynomials entirely into linear components allows for a wide range of problem simplifications. This paper
Samir Brahim Belhaouari +2 more
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A random matrix approach to credit risk. [PDF]
PLoS ONE, 2014 We estimate generic statistical properties of a structural credit risk model by considering an ensemble of correlation matrices. This ensemble is set up by Random Matrix Theory.
Michael C Münnix +2 more
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European Journal of Geography, 2022 Ecosystems representing the Natural Heritage (NH) are considered in this study as an important source of ecosystem goods and services for human well-being.
Hristina Prodanova +1 more
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Managerial Thinking in a New Reality
Мир новой экономики, 2021 The passing year 2020 has turned over a lot in society, economics and business, human behaviour and consciousness. Within a brief period, due to the pandemic situation, we found ourselves in a new reality.
D. V. Kuzin, I. P. Ponomarev
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Diagnosability of composite automata based on semi-tensor product
Systems Science & Control Engineering, 2021 Fault diagnosis is an important issue of partially observed discrete event systems (DESs). In this problem, fault detection and isolation are two associated tasks, where a fault is diagnosable if it can be detected certainly with a finite delay ...
Zengqiang Chen +3 more
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A Matrix Approach to Nonstationary Chains [PDF]
Operations Research, 1970 A finite discrete nonstationary Markov chain is completely characterized (after the initial probability distribution has taken effect) by its time sequence of transition probability matrices Pi. The ith causative matrix Ci is defined as the product Pi−1 (if it exists) times Pi+1. Thus, the causative matrices are analogous to derivatives in calculus as
Frank Harary +2 more
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Matrix Exponentials---Another Approach [PDF]
SIAM Review, 2001 Summary: The exponential of a matrix and the spectral decomposition of a matrix can be computed knowing nothing more than the eigenvalues of the matrix and the Cayley-Hamilton theorem. The arrangement of the ideas in this paper is simple enough to be taught to beginning students of ordinary differential equations.
William A. Harris Jr. +2 more
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Matrix Approach for Analyzing n-Site Generalized ASIP Systems: PGF and Site Occupancy Probabilities
Mathematics, 2022 The Asymmetric Simple Inclusion Process (ASIP) is an n-site tandem stochastic network with a Poisson arrival influx into the first site. Each site has an unlimited buffer with a gate in front of it.
Uri Yechiali, Yaron Yeger
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