Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

This title is part of a longer publication history. The full run of this journal will be searched. TITLE HISTORY A title history is the publication history of a journal and includes a listing of the ...

This study presents SynaptoGen, a differentiable extension of connectome models that links gene expression, protein-protein interaction probabilities, synaptic multiplicity, and synaptic weights, and ...

Although there are many functions in the base package of R, sometimes there may not be a function that does exactly what you want. In this case, R allows users to create their own functions and call ...

Abstract: Linear codes are widely studied in coding theory as they have nice applications in distributed storage, combinatorics, lattices, cryptography and so on. Constructing linear codes with ...

We introduce a novel generative model: Discrete Distribution Networks (DDN). DDN employs a simple yet unique approach to model the target distribution, distinctly different from mainstream generative ...

Flavonoids are found in many fruits and vegetables and may have health benefits. They contain antioxidants and can reduce inflammation. Flavonoids can help lower blood pressure, prevent cancer, and ...