Results 51 to 60 of about 7,625,262 (337)
The Distribution of Prime Numbers [PDF]
Nature, 2006 THIS interesting “Cambridge Tract” is concerned mainly with the behaviour, for large values of x, of the function n(x), which denotes the number of primes not exceeding x. The first chapter gives some elementary theorems concerning TT(O:), that is to say,
K. Soundararajan
semanticscholar +1 more source
Decrypting cancer's spatial code: from single cells to tissue niches
Molecular Oncology, EarlyView.Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik +4 more
wiley +1 more source
Bilateral gamma distributions and processes in financial mathematics
Stochastic Processes and their Applications, 2008 21 pages, 3 ...
Uwe Küchler, Stefan Tappe
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Molecular Oncology, EarlyView.We evaluated circulating tumor DNA (ctDNA) detection in advanced pancreatic cancer using DNA methylation, cell‐free DNA fragment lengths, and 5′ end motifs. Machine learning models were trained to estimate ctDNA levels from each feature and their combination.
Morten Lapin +10 more
wiley +1 more source
Quant GANs: deep generation of financial time series [PDF]
Quantitative finance (Print), 2019 Modeling financial time series by stochastic processes is a challenging task and a central area of research in financial mathematics. As an alternative, we introduce Quant GANs, a data-driven model which is inspired by the recent success of generative ...
Magnus Wiese +3 more
semanticscholar +1 more source
FEBS Open Bio, EarlyView.This study presents a novel approach to teaching Python and bioinformatics using team‐based learning and cloud‐hosted notebooks. By integrating interactive coding into biomedical education, the method improves accessibility, student engagement, and confidence—especially for those without a computing background.
Nuno S. Osório, Leonardo D. Garma
wiley +1 more source
Optimal Formula about Ordering the Random Variables Problem [PDF]
Eurasian Journal of Science and Engineering, 2018 In this paper, we propose an algorithm about ordering the random variables into order statistics and find the simple formula of multi order statistics joint probability distribution and endeavor to prove it mathematically.
Ivan S. Latif
doaj +1 more source
FEBS Open Bio, EarlyView.We propose a context‐dependent model where the Duchenne muscular dystrophy (DMD) gene acts as a tumour suppressor in aggressive tumours and as an oncogene in less aggressive ones. We propose this model as a unified framework to explain the opposing survival associations with DMD expression and to guide experimental exploration of the dual role of DMD ...
Lee Machado +4 more
wiley +1 more source
The Approximation of Sum of Independent Distributions by the Erlang Distribution Function
Nonlinear Analysis, 2002 The exponential distribution and the Erlang distribution function are been used in numerous areas of mathematics, and specifically in the queueing theory.
Antanas Karoblis
doaj +1 more source
Towards a simple mathematical theory of citation distributions [PDF]
SpringerPlus, 2015 The paper is written with the assumption that the purpose of a mathematical theory of citation is to explain bibliometric regularities at the level of mathematical formalism. A mathematical formalism is proposed for the appearance of power law distributions in social citation systems.
openaire +3 more sources