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AppliedMath, Volume 3, Issue 1

March 2023 - 14 articles

Cover Story: The underpopulation rule is graph dynamics derived by simplifying the set of rules constituting the Game of Life. The number of label configurations met by a graph during the dynamic process defined by this rule is bounded by a polynomial in the size of the graph if the graph is undirected. As a consequence, predicting the label evolution is an easy problem (i.e., a problem in P) in such a case. In this paper, the generalization of the underpopulation rule to signed and directed graphs is studied. It is proved here that the number of label configurations met by a graph during the dynamic process defined by any generalized underpopulation rule is still bounded by a polynomial in the size of the graph if the graph is undirected and structurally balanced, while it is not bounded by any polynomial in the size of the graph if the graph is directed but unsigned unless P = PSpace. View this paper
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Articles (14)

  • Article
  • Open Access
10 Citations
3,984 Views
25 Pages

A Rule-Based Approach for Mining Creative Thinking Patterns from Big Educational Data

  • Nasrin Shabani,
  • Amin Beheshti,
  • Helia Farhood,
  • Matt Bower,
  • Michael Garrett and
  • Hamid Alinejad-Rokny

20 March 2023

Numerous studies have established a correlation between creativity and intrinsic motivation to learn, with creativity defined as the process of generating original and valuable ideas, often by integrating perspectives from different fields. The field...

  • Article
  • Open Access
6 Citations
2,515 Views
22 Pages

The Harris Extended Bilal Distribution with Applications in Hydrology and Quality Control

  • Radhakumari Maya,
  • Muhammed Rasheed Irshad,
  • Muhammed Ahammed and
  • Christophe Chesneau

10 March 2023

In this research work, a new three-parameter lifetime distribution is introduced and studied. It is called the Harris extended Bilal distribution due to its construction from a mixture of the famous Bilal and Harris distributions, resulting from a br...

  • Article
  • Open Access
1 Citations
2,953 Views
21 Pages

Linear Trees, Lattice Walks, and RNA Arrays

  • Jasmine Renee Evans and
  • Asamoah Nkwanta

The leftmost column entries of RNA arrays I and II count the RNA numbers that are related to RNA secondary structures from molecular biology. RNA secondary structures sometimes have mutations and wobble pairs. Mutations are random changes that occur...

  • Article
  • Open Access
25 Citations
13,194 Views
25 Pages

Analyzing Health Data Breaches: A Visual Analytics Approach

  • Wullianallur Raghupathi,
  • Viju Raghupathi and
  • Aditya Saharia

This research studies the occurrence of data breaches in healthcare provider settings regarding patient data. Using visual analytics and data visualization tools, we study the distribution of healthcare breaches by state. We review the main causes an...

  • Article
  • Open Access
6 Citations
2,415 Views
28 Pages

Copula analysis was created to explain the dependence of two or more quantitative variables. Due to the need for in-depth data analysis involving complex variable relationships, there is always a need for new copula models with original features. As...

  • Article
  • Open Access
3 Citations
4,000 Views
30 Pages

Renormalization in Quantum Brain Dynamics

  • Akihiro Nishiyama,
  • Shigenori Tanaka and
  • Jack A. Tuszynski

22 February 2023

We show renormalization in Quantum Brain Dynamics (QBD) in 3+1 dimensions, namely Quantum Electrodynamics with water rotational dipole fields. First, we introduce the Lagrangian density for QBD involving terms of water rotational dipole fields,...

  • Article
  • Open Access
2,871 Views
19 Pages

13 February 2023

A multilevel Monte Carlo (MLMC) method is applied to simulate a stochastic optimal problem based on the gradient projection method. In the numerical simulation of the stochastic optimal control problem, the approximation of expected value is involved...

  • Article
  • Open Access
1 Citations
1,986 Views
8 Pages

3 February 2023

The eigenvalue bounds of interval matrices are often required in some mechanical and engineering fields. In this paper, we improve the theoretical results presented in a previous paper “A property of eigenvalue bounds for a class of symmetric t...

  • Article
  • Open Access
1 Citations
2,399 Views
28 Pages

16 January 2023

Different hypotheses of carcinogenesis have been proposed based on local genetic factors and physiologic mechanisms. It is assumed that changes in the metric invariants of a biologic system (BS) determine the general mechanisms of cancer development....

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AppliedMath - ISSN 2673-9909