Results 61 to 70 of about 2,417 (266)
On the dual quaternion geometry of screw motions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, the screw motions are studied using dual quaternions with the help of di erent perspectives. Firstly, orthogonality definition of dual quaternions is given and geometric interpretation of orthogonality condition is made.
Erişir Tülay +3 more
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Quaternions and the “Ausdehnungslehre” [PDF]
Nature, 1891 THE year 1844 is memorable in the annals of mathematics on account of the first appearance on the printed page of Hamilton's “Quaternions” and Grassmann's “Ausdehnungslehre.” The former appeared in the July, October, and supplementary numbers of the Philosophical Magazine, after a previous communication to the Royal Irish Academy, November 13, 1843 ...
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Proceedings of the Royal Society of Edinburgh, 1902 It is well known that quaternions are intimately connected with spherical trigonometry, and in fact they reduce that subject to a branch of algebra. The question is suggested whether there is not a system of quaternions complementary to that of Hamilton, which is capable of expressing trigonometry on the surface of the equilateral hyperboloids.
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Solid Pseudopapillary Neoplasm of the Pancreas in Children and Adolescents: Expert Recommendations
Pediatric Blood &Cancer, EarlyView.ABSTRACT Solid pseudopapillary neoplasm of the pancreas (SPN) is a rare low‐grade malignant exocrine pancreatic tumor, mostly discovered during the second decade of life in females, with a very good prognosis, provided microscopically complete surgical excision is achieved.
Sabine Irtan +18 more
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Gelin-Cesáro identities for Fibonacci and Lucas quaternions
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesáro identities for Fibonacci and Lucas quaternions.
Ahmet Daşdemir
doaj
A Review on the Applications of Dual Quaternions
MachinesThis work explores dual quaternions and their applications. First, a theoretical construction begins at dual numbers, extends to dual vectors, and culminates in dual quaternions.
João Gutemberg Farias +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background General pediatricians often evaluate hematologic and oncologic presentations before subspecialty consultation, yet the 2025 Accreditation Council for Graduate Medical Education (ACGME) pediatric requirements reduce inpatient pediatric hematology/oncology (PHO) time, raising questions about resident readiness.
Colburn Yu, Rohini Jain
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Pediatric Blood &Cancer, EarlyView.ABSTRACT As part of the European Cooperative Study Group for Paediatric Rare Tumours initiative, we developed standard clinical practice guidelines for ovarian sex cord stromal tumors, based on comprehensive national and international cohort analyses, literature review, and a final expert consensus conference.
Dominik T. Schneider +15 more
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On quaternion applications in obtaining surfaces
4 open, 2019 In this paper, we survey the historical development of quaternions and give some recently studies and applications of quaternions of obtaining surfaces.
Keskin Özgür, Yaylı Yusuf
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Pediatric cancer remains a leading cause of morbidity and mortality worldwide, particularly in low‐and middle‐income countries. Cancer treatment may impair nutritional status, alter body composition, and exacerbate cancer‐related fatigue (CRF).
Luís Carlos Lopes‐Junior +11 more
wiley +1 more source