Results 51 to 60 of about 500,615 (284)

Difficulties in Complex Multiplication and Exponentiation [PDF]

open access: yes, 2010
During my study of the iteration of functions of the form $f(z)=z^{\alpha}+c$, where $z,c \in \mathbbC$, and $\alpha$ is a rational non-integer larger than 2 (\cite{s1}), I encountered a fundamental difficulty in the exponentiation of a complex number ...
Sasmor, Joshua C.
core  

Financial Burden Associated With Hospitalisation Among Families of Childhood Brain Tumours in Australia

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Families of children with cancer experience significant financial strain, even with universal healthcare. Indirect costs, such as productivity losses and non‐medical expenses, are rarely included in economic evaluations, and little is known about how effectively financial aid programmes alleviate this burden. Childhood brain tumours
Megumi Lim   +8 more
wiley   +1 more source

A Sparse Algorithm for Computing the DFT Using Its Real Eigenvectors

open access: yesSignals, 2021
Direct computation of the discrete Fourier transform (DFT) and its FFT computational algorithms requires multiplication (and addition) of complex numbers.
Rajesh Thomas   +2 more
doaj   +1 more source

State Complexity of Multiple Catenations

open access: yesFundamenta Informaticae, 2018
We improve some results relative to the state complexity of the multiple catenations described by Gao and Yu. In particular we nearly divide by 2 the size of the alphabet needed for witnesses. We also give some refinements to the algebraic expression of the state complexity, which is especially complex with this operation.
Caron, Pascal   +2 more
openaire   +3 more sources

Complex Links and Hilbert–Samuel Multiplicities

open access: yesSIAM Journal on Applied Algebra and Geometry, 2023
We describe a framework for estimating Hilbert-Samuel multiplicities $e_XY$ for pairs of projective varieties $X \subset Y$ from finite point samples rather than defining equations. The first step involves proving that this multiplicity remains invariant under certain hyperplane sections which reduce $X$ to a point $p$ and $Y$ to a curve $C$.
Helmer, M, Nanda, V
openaire   +2 more sources

Complex multiplication and Brauer groups of K3 surfaces [PDF]

open access: yes, 2018
Inspired by the classical theory of CM abelian varieties, in this paper we discuss the theory of complex multiplication for K3 surfaces. Let $X$ be a complex K3 surface with complex multiplication by the maximal order $\mathcal{O}_E$ of a CM field $E ...
Valloni, Domenico
core   +2 more sources

Enteropathogenic E. coli shows delayed attachment and host response in human jejunum organoid‐derived monolayers compared to HeLa cells

open access: yesFEBS Letters, EarlyView.
Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi   +5 more
wiley   +1 more source

Analysis of algorithms performing basic arithmetic operations in the quadratic RNS

open access: yesНаука. Инновации. Технологии, 2022
In this paper we explore the question of representing complex numbers in a residue number system and build algorithms for the operations of addition and multiplication. The idea of the construction of such systems is in determining how the set of complex
Lyudmila Borisovna Kopytkova
doaj  

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

open access: yesFEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe   +3 more
wiley   +1 more source

Multiplications on a Complex [PDF]

open access: yesThe Annals of Mathematics, 1936
In their communications at the First International Topological Conference (Moscow, September 1935), J. W. Alexander and A. Kolmogoroff introduced the notion of a dual cycle1 and defined a product of a dual p-eycle and a dual q-eycle, this product being a dual (p + q)-eyele. A different multiplication of the same sort is considered in this paper. It may
openaire   +1 more source

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