Results 51 to 60 of about 22,244,527 (244)

Local spreading of stabilizer Rényi entropy in a brickwork random Clifford circuit

Physical Review Research
Nonstabilizerness, or magic, constitutes a fundamental resource for quantum computation and a crucial ingredient for quantum advantage. Recent progress has substantially advanced the characterization of magic in many-body quantum systems, with stabilizer
Somnath Maity, Ryusuke Hamazaki
doaj   +1 more source

Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis

Abstract and Applied Analysis, 2014
We define a new hypercomplex structure of ℝ3 and a regular function with values in that structure. From the properties of regular functions, we research the exponential function on the reduced quaternion field and represent the corresponding Cauchy ...
Ji Eun Kim, Su Jin Lim, Kwang Ho Shon
doaj   +1 more source

Internationalising the teacher education curriculum: An analysis of syllabi and student experiences

The Curriculum Journal, EarlyView.
Abstract Internationalisation has increasingly become a key dimension of quality in initial teacher education (ITE) programmes. Although it is recognised as a means to strengthen future teachers' competencies and expand their professional knowledge, it remains underdeveloped in practice.
Nafsika Alexiadou, Mai Trang Vu
wiley   +1 more source

Monogenic Functions in Conformal Geometry

Symmetry, Integrability and Geometry: Methods and Applications, 2007
Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, usually referred to as the ...
Michael Eastwood, John Ryan
doaj  

Boundary value problems for hypergenic function vectors

Journal of Inequalities and Applications, 2018
This article mainly studies the boundary value problems for hypergenic function vectors in Clifford analysis. Firstly, some properties of hypergenic quasi-Cauchy type integrals are discussed. Then, by the Schauder fixed point theorem the existence of the
Guiling Zhang, Chong Li, Yonghong Xie
doaj   +1 more source

Considerations for drug trials in hypertrophic cardiomyopathy

ESC Heart Failure, Volume 12, Issue 2, Page 1095-1112, April 2025.
Abstract Hypertrophic cardiomyopathy (HCM) is a heterogeneous condition with potentially serious manifestations. Management has traditionally comprised therapies to palliate symptoms and implantable cardioverter‐defibrillators to prevent sudden cardiac death. The need for disease‐modifying therapies has been recognized for decades.
John P. Farrant, Matthias Schmitt, Anna B. Reid, Clifford J. Garratt, William G. Newman, Aneil Malhotra, Rhys Beynon, Masliza Mahmod, Betty Raman, Robert M. Cooper, Dana Dawson, Thomas Green, Sanjay K. Prasad, Anvesha Singh, Susanna Dodd, Hugh Watkins, Stefan Neubauer, Christopher A. Miller   +17 more
wiley   +1 more source

Some properties of a kind of generalized Teodorescu operator in Clifford analysis

Journal of Inequalities and Applications, 2016
First, a kind of generalized Teodorescu operator which is related to the k-regular functions are defined. Then the boundedness and the Hölder continuity of the generalized Teodorescu operator are discussed.
Liping Wang
doaj   +1 more source

Developmental pathways to autism in tuberous sclerosis complex: Evidence from a longitudinal cohort

Epilepsia, EarlyView.
Abstract The association between autism spectrum disorder (hereafter referred to as autism) and tuberous sclerosis complex (TSC) is well established, yet the developmental pathways linking genetic mutation, cortical pathology, and epilepsy with autism remain unclear. The Tuberous Sclerosis 2000 Study recruited children newly diagnosed with TSC (N = 125)
Fiona S. McEwen, Abigail K. Runicles, Holan Liang, Emma Woodhouse, Lisa Underwood, Elizabeth Shephard, Edward D. Barker, Fintan Sheerin, Juul W. Steenbruggen, Tuberous Sclerosis 2000 Study Group, John R. W. Yates, Charlotte Tye, Patrick F. Bolton   +12 more
wiley   +1 more source

Regular Functions with Values in Ternary Number System on the Complex Clifford Analysis

Abstract and Applied Analysis, 2013
We define a new modified basis i^ which is an association of two bases, e1 and e2. We give an expression of the form z=x0+ i ^z0-, where x0 is a real number and z0- is a complex number on three-dimensional real skew field.
Ji Eun Kim, Su Jin Lim, Kwang Ho Shon
doaj   +1 more source

Solutions of Umbral Dirac-Type Equations

Mathematics
The aim of this work is to study the method of the normalized systems of functions. The normalized systems of functions with respect to the Dirac operator in the umbral Clifford analysis are constructed.
Hongfen Yuan, Valery Karachik
doaj   +1 more source