Results 61 to 70 of about 100,700 (266)

Lucas' theorem: its generalizations, extensions and applications (1878--2014) [PDF]

, 2014
In 1878 \'E. Lucas proved a remarkable result which provides a simple way to compute the binomial coefficient ${n\choose m}$ modulo a prime $p$ in terms of the binomial coefficients of the base-$p$ digits of $n$ and $m$: {\it If $p$ is a prime, $n=n_0 ...
Meštrović, Romeo
core  

More congruences for central binomial coefficients

Journal of Number Theory, 2010
Let \(p>5\) be a prime number. The author proves that \[ \sum_{k=1}^{p-1}\frac{1}{k^2}\binom{2k}{k}^{-1}\equiv\frac13 \frac{H(1)}{p}\pmod {p^3} \] and that \[ \sum_{k=1}^{p-1}\frac{(-1)^k}{k^3}\binom{2k}{k}^{-1}\equiv-\frac25 \frac{H(1)}{p^2}\pmod {p^3}, \] where \(H(1)=\sum_{k=1}^{p-1}\frac{1}{k}\).
openaire   +3 more sources

MYCOPHENOLATE MOFETIL TREATMENT REDUCES THE RISK OF TREATMENT ESCALATION DUE TO VASCULAR COMPLICATIONS IN LIMITED CUTANEOUS SYSTEMIC SCLEROSIS: EMULATION OF A TARGET TRIAL FROM ITALIAN RHEUMATOLOGY SOCIETY SPRING REGISTRY

Arthritis Care &Research, Accepted Article.
Objective Mycophenolate Mofetil (MMF) use in limited cutaneous systemic sclerosis (lcSSc) is relatively uncommon due to the lower fibrotic burden and the predominance of the vascular complications. In vitro observations and clinical data from transplanted patients suggest a protective effect of MMF on endothelial function.
Enrico De Lorenzis, Gerlando Natalello, Rossella De Angelis, Lucrezia Verardi, Dilia Giuggioli, Gianluigi Bajocchi, Lorenzo Dagna, Silvia Bellando‐Randone, Giovanni Zanframundo, Rosario Foti, Fabio Cacciapaglia, Giovanna Cuomo, Alarico Ariani, Edoardo Rosato, Gemma Lepri, Francesco Girelli, Valeria Riccieri, Elisabetta Zanatta, Ilaria Cavazzana, Francesca Ingegnoli, Maria De Santis, Giuseppe Murdaca, Giuseppina Abignano, Giorgio Pettiti, Alessandra Della Rossa, Maurizio Caminiti, Annamaria Iuliano, Giovanni Ciano, Lorenzo Beretta, Gianluca Bagnato, Ennio Lubrano, Maria Ilenia De Andres, Alessandro Giollo, Cosimo Bruni, Martina Orlandi, Marco Fornaro, Marta Saracco, Cecilia Agnes, Pier Giacomo Cerasuolo, Gabriella Alonzi, Edoardo Cipolletta, Federica Lumetti, Amelia Spinella, Luca Magnani, Corrado Campochiaro, Giacomo De Luca, Veronica Codullo, Elisa Visalli, Carlo Iandoli, Antonietta Gigante, Greta Pellegrino, Erika Pigatto, Maria‐Grazia Lazzaroni, Franco Franceschini, Elena Generali, Gianna Mennillo, Simone Barsotti, Giuseppa Pagano Mariano, Federica Furini, Licia Vultaggio, Simone Parisi, Clara Lisa Peroni, Gerolamo Bianchi, Enrico Fusaro, Gian Domenico Sebastiani, Marcello Govoni, Salvatore D'Angelo, Franco Cozzi, Fabrizio Conti, Serena Guiducci, Andrea Doria, Carlo Salvarani, Florenzo Iannone, Maria Antonietta D'Agostino, Clodoveo Ferri, Marco Matucci Cerinic, Silvia Laura Bosello, on behalf of SPRING collaborators   +77 more
wiley   +1 more source

Polynomial Triangles Revisited [PDF]

, 2012
A polynomial triangle is an array whose inputs are the coefficients in integral powers of a polynomial. Although polynomial coefficients have appeared in several works, there is no systematic treatise on this topic. In this paper we plan to fill this gap.
Mohammedia Morocco, Nour-eddine Fahssi
core  

Developing and Evaluating a Laboratory‐Based Frailty Index (FI‐Lab) for the Prediction of Long‐Term Health Outcomes in Systemic Lupus Erythematosus

Arthritis Care &Research, Accepted Article.
Objective We aimed to construct and evaluate the first laboratory‐based frailty index (FI‐Lab) for predicting adverse outcomes in systemic lupus erythematosus (SLE) and to compare its predictive ability to that of an existing clinical frailty index (FI).
Grace Burns, Samuel D. Searle, Alexandra Legge   +2 more
wiley   +1 more source

Correlated Charge Transport in an Organic Coulomb Glass

Advanced Materials, EarlyView.
ABSTRACT Advances in the development of organic field‐effect transistors (OFETs), electrically gated organic semiconductors (EGOFETs), and organic electrochemical transistors (OECTs) allow for the operation of these devices at very high charge‐carrier densities, where Coulomb interactions between carriers can be expected to become significant.
Magdalena Sophie Dörfler, Heinz Bässler, Harald Oberhofer, Anna Köhler   +3 more
wiley   +1 more source

Investigation of productivity decline in inter-salt argillaceous dolomite reservoir due to formation damage and threshold pressure gradient: Laboratory, mathematical modeling and application

Energy Exploration & Exploitation, 2017
The inter-salt argillaceous dolomite reservoirs in the central region of China contain large abundance of oil resources with ultra-low permeability and porosity.
Dan Wu, Binshan Ju, Shiqiang Wu, Eric Thompson Brantson, Yingkun Fu, Zhao Lei   +5 more
doaj   +1 more source

Integrated Transcriptomics Reveals Evolutionary Trajectories and Cell Density‐Dependent Mechanisms in Aldosterone‐Producing Adenomas

Advanced Science, EarlyView.
Aldosterone‐producing adenomas (APAs) develop via two distinct paths: directly from adrenal zona glomerulosa (zG) cells, or stepwise from zG cells through aldosterone‐producing micronodules (APMs) before progressing to APAs. Advanced single‐cell and spatial analyses identified distinct cell states linked to oxidative stress and cell–cell interactions ...
Zhuolun Sun, Changying Jing, Martina Tetti, Siyuan Gong, Jia Wei, Yingxian Pang, Martin Reincke, Tracy Ann Williams   +7 more
wiley   +1 more source

The completed finite period map and Galois theory of supercongruences

, 2017
A period is a complex number arising as the integral of a rational function with algebraic number coefficients over a rationally-defined region. Although periods are typically transcendental numbers, there is a conjectural Galois theory of periods coming
Rosen, Julian
core   +1 more source

Thermal Plasticity is Regulated by a Key MicroRNA During Range Expansion of an Invasive Fruit Fly

Advanced Science, EarlyView.
Populations at the invasion front of Bactrocera dorsalis adapt through reduced phenotypic and gene expression plasticity, a phenomenon likely to be driven by genetic assimilation. We identify a key miRNA‐mediated regulatory axis, in which miR‐276b post‐transcriptionally represses thw, a conserved chitin‐binding gene critical to the cold‐tolerance ...
Yan Zhao, Juntao Hu, Juan Du, Shaokun Guo, Youming Hou, Zhihong Li   +5 more
wiley   +1 more source