This chapter provides an overview of applications of generating functions. Power series generating functions are exceptionally well-adapted to finding means, standard deviations, and other moments of distributi
The generating functions have various applications in many branches of mathematics and sciences, representing a widely used and powerful tool for solving problems. In combinatorics, they allow for obtaining a compact representation of discrete structures and the investigation of several properties of the ...
is a very well-known multiplicative arithmetic function. However, the non-multiplicativejthnon-trivial divisor functioncj, which counts the ordered factorisations of a positive integer intojfactors each of which is greater than or equal to 2, is rather less well studied...
Several applications in computer vision are also of great interest to the neuroimaging community, including informative latent space and conditional image generation. 2.2.2.1. Informative latent space The latent vector in the GAN model is conventionally used as a random input for generating images, ...
RSSHub - An easy to use, and extensible RSS feed aggregator, it's capable of generating RSS feeds from pretty much everything ranging from social media to university departments. (Demo, Source Code) MIT Nodejs/Docker Selfoss - New multipurpose rss reader, live stream, mashup, aggregation web...
et al. The diversity-generating benefits of a prokaryotic adaptive immune system. Nature 532, 385–388 (2016). Article CAS PubMed PubMed Central Google Scholar Haurwitz, R. E., Sternberg, S. H. & Doudna, J. A. Csy4 relies on an unusual catalytic dyad to position and cleave CRISPR ...
GenAI saves researchers and lawyers time by generating abstracts and analyzing decisions and cases from the vast pool of legal texts it's trained on. Legal professionals across corporations, law courts and governments use AI-powered tools, such as Spellbook and Juro, to process large data sets, ...
may yield speedups. Using MATLAB Coder™, you can generate readable and portable C code and compile it into a MEX-function that replaces the equivalent section of your MATLAB algorithm (Figure 5). You can also take advantage of multicore processors by generating MEX-functions fromparforconstruc...
a The process of generating random wrinkles. When a liquid crystalline monomer of a reactive mesogen (RM) is spin-coated and cured using plasma, unique and non-replicable wrinkles are formed. (i) Polarized optical microscopy (POM) image showing the as-deposited RMs with random orientation. (ii...
Generating collective counterfactual explanations in score-based classification via mathematical optimization Emilio Carrizosa, Jasone Ramírez-Ayerbe, Dolores Romero Morales Article 121954 Article preview select article Identifying influential nodes through an improved k-shell iteration factor model Research article...