Results 71 to 80 of about 114,595,259 (259)

On Tribonacci numbers written as a product of three Fibonacci numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The present paper examines the following Diophantine equation: Tn = Fk · Fl · Fm where Tn is the n-th Tribonacci number and likewise Fk is the k-th Fibonacci number and so on as variables.
Ozkaya Zeynep Demirkol
doaj   +1 more source

Extracellular matrix remodeling and immune reprogramming drive residual tumor progression of liver cancer after incomplete microwave ablation

Molecular Oncology, EarlyView.
Incomplete microwave ablation (iMWA) of liver cancer triggers a biphasic progression in residual tumors. At Day 3, the microenvironment is characterized by acute inflammatory responses and extracellular matrix (ECM) remodeling. By Day 14, a profound shift occurs toward oncogenic signal transduction and immunosuppression, marked by macrophage ...
Yu Liu, Yubei He, Nikolaus Berndt, Michael Mülleder, Kathrin Textoris‐Taube, Jing Guo, Matthias Stechele, Justus Ramtke, Shraga Nahum Goldberg, Lynn Jeanette Savic   +9 more
wiley   +1 more source

Linear forms in Lucas numbers [PDF]

, 1993
If (um)m∈N0 denotes a Lucas sequence, i.e. a binary integer recurrence sequence with initial values u0=0 and u1=1, then the equation kum=lun with k,l∈Z⧹{0} and max{m,n}≥5 can be valid only for finitely many Lucas sequences with coprime roots and finitely
Töpfer, Thomas
core   +1 more source

On the Two-Term Zeckendorf Representations of the Padovan and Perrin Sequences

Journal of Applied Mathematics
In this paper, we completely solve the Diophantine equations Pm=Fn+Fk and Em=Fn+Fk under the condition n≥k+2≥4, where Pm is the m-th Padovan number, Em is the m-th Perrin number, and Fk is the k-th Fibonacci number.
Awaou Lare Ousseni, Japhet Odjoumani, Appolinaire Dossavi-Yovo, Guy Degla   +3 more
doaj   +1 more source

SPHINX31 acts as a SRPK1 inhibitor targeting the ATR/DNA‐PKcs/CHK1 replicative checkpoint to inhibit cell growth in non‐small cell lung cancer

Molecular Oncology, EarlyView.
The kinase SRPK1 directly interacts with the protein TOPBP1 and regulates the pre‐mRNA splicing of WIZ thereby contributing to the activation of the ATR/CHK1 replicative checkpoint in response to replicative stress. This allows cancer cells' genomic stability and survival.
Amani Shreim, Aurelie Genoux, Nadiia Zubchuk, Haoyang Zheng, Perla Salameh, Theo Ziegelmeyer, Fabien Dalonneau, Margot Rouchette, Christiane Oddou, Simona Miron, Helene Polveche, Adiilah Mamode Cassim, Carmen Garrido, Eleni Nikolakaki, Didier Auboeuf, Tao Jia, Sophie Zinn‐Justin, Beatrice Eymin   +17 more
wiley   +1 more source

Charles Babbage's table of logarithms (1827) [PDF]

In 1827 Charles Babbage published his Table of logarithms of the natural numbers, from 1 to 108,000. His logarithms were generally considered to be the most accurate of his day and were reprinted on numerous occasions, well into the twentieth century ...
Campbell-Kelly, Martin
core  

On Algebraic Numbers of Small Height: Linear Forms in One Logarithm

Journal of Number Theory, 1994
The authors establish a lower bound for \(|\alpha -1|\) where \(\alpha\) is a complex algebraic number \(\neq 1\). This lower bound is completely explicit in terms of the degree \(D\) of \(\alpha\) and its Mahler measure \(M(\alpha)\). Given any number \(\mu>0\) with \(\mu\geq \log M(\alpha)\), the authors prove \[ |\alpha -1|\geq \exp \Bigl\{- \bigl( \
Mignotte, M., Waldschmidt, M.
openaire   +2 more sources

Polarization‐resolved femtosecond Vis/IR spectroscopy tailored for resolving weak signals in biological samples using minimal sample volume

FEBS Open Bio, EarlyView.
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley   +1 more source

A note on the extension of some triangular Diophantine sets

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let n be an integer. We call a set of m distinct positive integers a triangular D(n)-m-tuple if the product of its two distinct elements increased by n is the triangular number. In this paper, we consider the extension of the triangular D(k)-pair {k, 2k},
Filipin Alan, Jurasić Ana, Togbé Alain
doaj   +1 more source

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

FEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill, Yelyzaveta Pulnova, Elke De Zitter, Helen M. Ginn, Briony A. Yorke   +4 more
wiley   +1 more source