Results 61 to 70 of about 2,014,606 (340)
De-Moivre and Euler Formulae for Dual-Complex Numbers
Universal Journal of Mathematics and Applications, 2019 In this study, we generalize the well-known formulae of De-Moivre and Euler of complex numbers to dual-complex numbers. Furthermore, we investigate the roots and powers of a dual-complex number by using these formulae. Consequently, we give some examples
Mehmet Ali Güngör, Ömer Tetik
doaj +1 more source
Extremal Betti numbers of Rips complexes [PDF]
arXiv, 2009 Upper bounds on the topological Betti numbers of Vietoris-Rips complexes are established, and examples of such complexes with high Betti numbers are given.
arxiv
FEBS Letters, EarlyView.The NlpC_P60 superfamily of peptidases is recognised by its key role in bacterial cell wall homeostasis. Recently, studies have also described the involvement of NlpC_P60‐like enzymes in bacterial competitive mechanisms and pathogenesis across several lineages.
Catharina dos Santos Silva +1 more
wiley +1 more source
Two generalizations of dual-complex Lucas-balancing numbers
Acta Universitatis Sapientiae: Mathematica, 2022 In this paper, we study two generalizations of dual-complex Lucas-balancing numbers: dual-complex k-Lucas balancing numbers and dual-complex k-Lucas-balancing numbers.
Bród Dorota +2 more
doaj +1 more source
Stern-Gerlach Experiments and Complex Numbers in Quantum Physics [PDF]
arXiv, 2012 It is often stated that complex numbers are essential in quantum theory. In this article, the need for complex numbers in quantum theory is motivated using the results of tandem Stern-Gerlach ...
arxiv
Making tau amyloid models in vitro: a crucial and underestimated challenge
FEBS Letters, EarlyView.This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
Unraveling Mycobacterium tuberculosis acid resistance and pH homeostasis mechanisms
FEBS Letters, EarlyView.Mycobacterium tuberculosis exhibits a remarkable resilience to acid stress. In this Review, we discuss some of the molecular mechanisms and metabolic pathways used by the tubercle bacilli to adapt and resist host‐mediated acid stress. Mycobacterium tuberculosis (Mtb) is a successful pathogen that has developed a variety of strategies to survive and ...
Janïs Laudouze +3 more
wiley +1 more source
Dual-complex k-Pell quaternions [PDF]
arXiv, 2018 In this paper, dual-complex k-Pell numbers and dual-complex k-Pell quaternions are defined. Also, some algebraic properties of dual-complex k-Pell numbers and quaternions which are connected with dual-complex numbers and k-Pell numbers are investigated.
arxiv
On the history of negative and complex numbers interpretation [PDF]
arXiv, 2020 The history of the development of the concept of complex numbers from the 16th to 19th centuries. The origin and refinement of the geometric and physical meaning of complex numbers, the emergence of vectoral analysis.
arxiv
FEBS Letters, EarlyView.The S1025 peptide is the major antidote to the YrzI toxin, which we renamed here as SpyT (Small Peptide YrzI Toxin) and SpyA (Small Peptide YrzI Antitoxin) (1). Degradation of the toxin–antitoxin spyTA mRNA, either by a translation‐dependent cleavage by the endoribonuclease Rae1 (2) or by direct attack by 3′‐exoribonucleases (3), also contributes to ...
Laetitia Gilet +4 more
wiley +1 more source