Results 51 to 60 of about 3,505,093 (295)
Smooth affine group schemes over the dual numbers [PDF]
Épijournal de Géométrie Algébrique, 2019 We provide an equivalence between the category of affine, smooth group schemes over the ring of generalized dual numbers $k[I]$, and the category of extensions of the form $1 \to \text{Lie}(G, I) \to E \to G \to 1$ where G is an affine, smooth group ...
Matthieu ROMAGNY, Dajano Tossici
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Generalization of dual numbers and dual Euclidean 3-Space
Turkish Journal of MathematicsSummary: In this study, we consider the generalized dual numbers and determine their algebraic and geometric properties. Then we generalize the well-known \(\mathbb{D}^3\) module and introduce the generalized dual Euclidean 3-space with its scalar product and norm.
Soylu, Şükran Duygu +2 more
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Kinematic Applications of Hyper-Dual Numbers
International Electronic Journal of Geometry, 2021 Hyper-dual numbers are a new number system that is an extension of dual numbers. A hyper-dual number can be written uniquely as an ordered pair of dual numbers. In this paper, some basic algebraic properties of hyper-dual numbers are given using their ordered pair representaions of dual numbers.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background An internal tandem duplication in the gene encoding Fms‐like tyrosine kinase 3 (FLT3‐ITD) is associated with high relapse risk and poor prognosis in acute myeloid leukemia (AML) and plays a crucial role in treatment decisions. Measurable residual disease (MRD) analysis of FLT3‐ITD during and after treatment has shown prognostic ...
Sofie Johansson Alm +11 more
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An Introduction to The Dual Symbolic 3-Plithogenic And 4-Plithogenic Numbers [PDF]
Neutrosophic Sets and Systems, 2023 The objective of this paper is to use dual numbers with symbolic 3-plithogenic and 4-plithogenic numbers in one numerical system called dual symbolic 3-plithogenic/4-plithogenic numbers.
Khadija Ben Othman +2 more
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Some applications in classical mechanics of the double and the dual numbers
Revista mexicana de física E, 2019 We give some examples of the application in classical mechanics of the double and the dual numbers, which are analogous to the complex numbers.
G. F. Torres del Castillo
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Duals of the Bernoulli Numbers and Polynomials and the Euler Numbers and Polynomials
Integers, 2017 See the abstract in the attached pdf.
Tian-Xiao He, Jinze Zheng
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The Role of Hematopoietic Cell Transplantation in Ataxia‐Telangiectasia
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Ataxia‐telangiectasia (A‐T) is a DNA repair disorder characterized by neurodegeneration, immunodeficiency, and cancer predisposition. Hematopoietic cell transplantation (HCT) is an established therapy in related disorders such as Fanconi anemia (FA) and Nijmegen breakage syndrome (NBS), but its role in A‐T is unclear.
Laila Alkhouli +3 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Pediatric sarcomas are a heterogeneous group of tumors that contribute disproportionately to cancer mortality in children. Although congenital anomalies are among the strongest known risk factors for childhood cancer, the risk of specific sarcoma subtypes among affected individuals has not yet been thoroughly evaluated. Procedure We
Russ Wolters +17 more
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Dual quaternion representation of points, lines and planes
Discrete and Continuous Models and Applied Computational ScienceBackground. The bulk of the work on dual quaternions is devoted to their application to describe helical motion. Little attention is paid to the representation of points, lines, and planes (primitives) using them. Purpose. It is necessary to consistently
Migran N. Gevorkyan +4 more
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