Results 121 to 130 of about 3,935,207 (294)
Proving infinite index for a subgroup of matrices
We show how tools from computational group theory can be used to prove that a subgroup of matrices has infinite index.
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Artificial molecular machines and motors—Design and control of nanoscale motion
Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley +1 more source
On Indexed Riesz Summability of an Infinite Series
Generalizing the results of Seyhan and Misra et al. a theorem on indexed-Reisz summability has been established.
S. Nayak, U.K. Misra, B.P. Padhy
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
The concentration index of subharmonic functions of infinite order
The purpose of this paper is to introduce into consideration an analogue of the concentration index in the class of subharmonic functions of infinite order. The one in the case of finite order is used in the interpolation theory.
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In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera +11 more
wiley +1 more source
Hijacking emergency granulopoiesis: Neutrophil ontogeny and reprogramming in cancer
Neutrophils are highly plastic innate immune cells; their functions in cancer extend beyond the tumour microenvironment. This Review summarises current understanding of neutrophil maturation and heterogeneity and highlights tumour‐induced granulopoiesis as a systemic programme that expands immature, immunosuppressive neutrophils via tumour‐derived ...
Gabriela Marinescu, Yi Feng
wiley +1 more source
Dormant cancer cells can hide in distant organs for years, evading treatment and the immune system. This review highlights how signals from the surrounding tissue and immune environment keep these cells inactive or trigger their reawakening. Understanding these mechanisms may help develop therapies to eliminate or control dormant cells and prevent ...
Kanishka Tiwary +1 more
wiley +1 more source
Practical Verification of Infinite Structures in agda2hs
Agda allows for writing code that can be mathematically proven and verified to be correct, this type of languages is generally known as a proof assistant.
Schrijver, Remco (author)
core
Transcendence of multi-indexed infinite series
Let \(q_1, \dots, q_k\) be natural numbers and set \(G = {\mathbb Z}/q_1{\mathbb Z} \times \cdots \times {\mathbb Z}/q_k{\mathbb Z}\). For a complex-valued function \(f\) on \(G\), the author considers the multiple Dirichlet series \[ F(s_1, \dots, s_k) = \sum_{n_1, \dots, n_k = 1}^\infty {f(n_1, \dots, n_k) \over n_1^{s_1} \cdots n_k^{s_k}}.
openaire +1 more source

