Results 31 to 40 of about 344,635 (181)
International Electronic Journal of Algebra, 2023 In this paper, we prove that the family of binomials $x_1^{a_1} \cdots x_m^{a_m}-y_1^{b_1}\cdots y_n^{b_n}$ with $\gcd(a_1, \ldots, a_m, b_1, \ldots, b_n)=1$ is irreducible by identifying the connection between the irreducibility of a binomial in ${\mathbb C}[x_1, \ldots, x_m, y_1, \ldots, y_n]$ and ${\mathbb C}(x_2, \ldots, x_m, y_1, \ldots, y_n)[x_1]$
WANG, Haohao +2 more
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Role of Posterior Interfacetal Distraction and Grafting in Complex Atlantoaxial Dislocation
Egyptian Spine Journal, 2019 Background Data: Atlantoaxial fixation, unlike subaxial spine, is still challenging due to complex topographical anatomy. Nowadays, atlas lateral mass screws and transpedicular axis screws fixation is a well-accepted technique for the management of ...
Mohamed Ali El-Gaidi, MD. +1 more
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Open Geosciences, 2022 Taking into consideration the difficulties in predicting the properties of liquid production and evaluating the irreducible water saturation of low-porosity and ultra-low-permeability sandstone reservoirs, the relationships between the irreducible water ...
Tan Lihong +5 more
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Frontiers in SurgeryObjectiveThis study aims to evaluate the effectiveness of the anterior minimally invasive clamping technique in conjunction with a lower extremity axial bone traction device for treating irreducible intertrochanteric fractures.MethodsWe conducted a ...
Yunliang Zhu +5 more
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Indagationes Mathematicae, 1994 Consider an \(n\times n\)-system of linear differential equations \(dY/dz= AY\) with \(A\in M_n (\mathbb{C} (z))\) and \(Y= (y_1, \dots, y_n)^t\) the vector of unknown locally complex analytic functions. In proving transcendence of the values of solutions at algebraic points Shidlovskij introduced the concept of (Shidlovskij) irreducibility. The system
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GALOIS IRREDUCIBLE POLYNOMIALS
Communications of the Korean Mathematical Society, 2017 Summary: In this paper, the fundamental theorem of Galois Theory is used to generalize cyclotomic polynomials and construct irreducible polynomials associated with the \(n\)-th primitive roots of unity.
Kwon, Miyeon, Lee, Ji-Eun, Lee, Ki-Suk
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Irreducibility of Hypersurfaces [PDF]
Communications in Algebra, 2009 Given a polynomial P in several variables over an algebraically closed field, we show that except in some special cases that we fully describe, if one coefficient is allowed to vary, then the polynomial is irreducible for all but at most deg(P)^2-1 values of the coefficient.
Bodin, Arnaud +2 more
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New criteria for H $\mathcal{H}$ -tensors and an application
Journal of Inequalities and Applications, 2016 Some new criteria for H $\mathcal{H}$ -tensors are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor are given. The advantages of the results obtained are illustrated by numerical
Feng Wang, De-shu Sun
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Unit, Irreducible, and Prime Elements of The Integral Domain Z[sqrt (5)]
Jurnal MatematikaIn abstract algebra at the undergraduate level, the ring Z[sqrt(5)] is often used as a simple example of an integral domain that does not satisfy the unique factorization domain (UFD) but Z[sqrt(5)] is Halfway Factorial Domain (HFD).
Daisyah Alifian Fatahillaj
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An Analysis of the Multiplicity Spaces in Branching of Symplectic Groups
, 2009 Branching of symplectic groups is not multiplicity-free. We describe a new approach to resolving these multiplicities that is based on studying the associated branching algebra $B$.
Yacobi, Oded
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