Results 41 to 50 of about 114,475 (241)
Some Results on Harmonic Type Sums
In this study, we consider the summatory function of convolutions of theMöbius function with harmonic numbers, and we show that these summatoryfunctions are linked to the distribution of prime numbers.
Haydar Göral, Doğa Can Sertbaş
doaj +1 more source
On the non-randomness of modular arithmetic progressions: a solution to a problem by V. I. Arnold [PDF]
We solve a problem by V. I. Arnold dealing with "how random" modular arithmetic progressions can be. After making precise how Arnold proposes to measure the randomness of a modular sequence, we show that this measure of randomness takes a simplified form
Eda Cesaratto +2 more
doaj +1 more source
Physics‐Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ) capabilities.
Ibai Ramirez +4 more
wiley +1 more source
Borel type asymptotic relation for entire Dirichlet series and $h$-measure of an exceptional sets
There are presented sufficient conditions for the entire Dirichlet series with monotonically increasing sequence of exponents providing validity of Borel-type relation outside some set $E$ of finite $h$-measure, i.e. $m_h E=\int_E dh(x)
A. O. Kuryliak, T. M. Salo
doaj +1 more source
Spatial metrics in fire ecology: seeking consistency amidst complexity
ABSTRACT Technological advances, including remote sensing, have led to a proliferation of metrics used in ecological studies to examine spatial patterns of fire regimes and their ecological effects. Researchers can use many different metrics to analyse spatial variation in both fire events and resulting fire regimes, including fire size, shape ...
Alexander R. Carey +5 more
wiley +1 more source
Greedy Sums and Dirichlet Series [PDF]
We prove that the greedy sum of a direct product of two numeric arrays of complex numbers is equal to the product of the greedy sums of the factors provided that all the mentioned sums exist.Comment: 3 ...
Shchepin, Evgeny
core
Cruising The Simplex: Hamiltonian Monte Carlo and the Dirichlet Distribution
Due to its constrained support, the Dirichlet distribution is uniquely suited to many applications. The constraints that make it powerful, however, can also hinder practical implementations, particularly those utilizing Markov Chain Monte Carlo (MCMC ...
Betancourt, M. J.
core +1 more source
Iteration of Composition Operators on small Bergman spaces of Dirichlet series
The Hilbert spaces ℋw consisiting of Dirichlet series F(s)=∑n=1∞ann-s$F(s) = \sum\nolimits_{n = 1}^\infty {{a_n}{n^{ - s}}}$ that satisfty ∑n=1∞|an|2/wn 0 and {wn}n having average order (logj+n)α${(\log _j^ + n)^\alpha }$, that the composition operators ...
Zhao Jing
doaj +1 more source
ABSTRACT Sustainability reports (SRs) are widely criticized for vague disclosures and selective emphasis on positive outcomes, yet systematic research on two core SR challenges remains limited: materiality (whether disclosed content is relevant) and balance (whether both achievements and challenges are reported).
Mahsa Mohammadrezaei +1 more
wiley +1 more source
ABSTRACT Widespread digital adoption has challenged our understanding of how these tools reshape collaboration, trust and sustainability outcomes across different institutional and network contexts. As networks now pursue resilience and sustainable development in parallel, we map emerging research directions and identify how collaboration and ...
Ari Carisza Graha Prasetia +1 more
wiley +1 more source

