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AppliedMath, Volume 3, Issue 4

December 2023 - 16 articles

Cover Story: Zero eigenvalues coincide with linear combinations of some matrix column subsets being identical to other columns. Likewise, symmetry also transfers this relationship to matrix rows. Here, the surface partitioning square-star grid overlay on the Fajardo, Puerto Rico, region satellite image portrayal generates a matrix with three zero eigenvalues, identified in its labels and accompanying spatial weights matrix by red, blue, and green. A linear regression of Column A as a response variable and columns B through K as covariates produces the three linear combinations affiliated with these zero eigenvalues, and all three points are coincident in a rank order scatterplot, which distorts their alignment with the graph’s near-linear trendline. View this paper
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Articles (16)

  • Article
  • Open Access
1,690 Views
11 Pages

First-Stage Dynamics of the Immune System and Cancer

  • Roberto Herrero,
  • Joan Nieves and
  • Augusto Gonzalez

12 December 2023

The innate immune system is the first line of defense against pathogens. Its composition includes barriers, mucus, and other substances as well as phagocytic and other cells. The purpose of the present paper is to compare tissues with regard to their...

  • Article
  • Open Access
3 Citations
1,725 Views
15 Pages

An Efficient Bi-Parametric With-Memory Iterative Method for Solving Nonlinear Equations

  • Ekta Sharma,
  • Shubham Kumar Mittal,
  • J. P. Jaiswal and
  • Sunil Panday

11 December 2023

New three-step with-memory iterative methods for solving nonlinear equations are presented. We have enhanced the convergence order of an existing eighth-order memory-less iterative method by transforming it into a with-memory method. Enhanced acceler...

  • Article
  • Open Access
1 Citations
1,521 Views
30 Pages

8 December 2023

Max-C and min-D projection auto-associative fuzzy morphological memories (max-C and min-D PAFMMs) are two-layer feedforward fuzzy morphological neural networks designed to store and retrieve finite fuzzy sets. This paper addresses the main features o...

  • Article
  • Open Access
1 Citations
2,908 Views
32 Pages

6 December 2023

Computing Shapley values for large cooperative games is an NP-hard problem. For practical applications, stochastic approximation via permutation sampling is widely used. In the context of machine learning applications of the Shapley value, the concep...

  • Review
  • Open Access
1,980 Views
48 Pages

Interval Quadratic Equations: A Review

  • Isaac Elishakoff and
  • Nicolas Yvain

1 December 2023

In this study, we tackle the subject of interval quadratic equations and we aim to accurately determine the root enclosures of quadratic equations, whose coefficients constitute interval variables. This study focuses on interval quadratic equations t...

  • Article
  • Open Access
7 Citations
2,293 Views
31 Pages

Binomial Sum Relations Involving Fibonacci and Lucas Numbers

  • Kunle Adegoke,
  • Robert Frontczak and
  • Taras Goy

30 November 2023

In this paper, we provide a first systematic treatment of binomial sum relations involving (generalized) Fibonacci and Lucas numbers. The paper introduces various classes of relations involving (generalized) Fibonacci and Lucas numbers and different...

  • Article
  • Open Access
1 Citations
2,879 Views
23 Pages

16 November 2023

This paper introduces the mathematical formalization of two probabilistic procedures for susceptible-infected-recovered (SIR) and susceptible-infected-susceptible (SIS) infectious diseases epidemic models, over Erdös-Rényi contact network...

  • Article
  • Open Access
1,745 Views
14 Pages

7 November 2023

For linear optimization problems with a parametric objective, so-called parametric linear programs (PLP), we show that the optimal decision values are, under few technical restrictions, unimodal functions of the parameter, at least in the two-degrees...

  • Review
  • Open Access
11 Citations
6,601 Views
15 Pages

1 November 2023

According to the Food and Agriculture Organization, the world’s food production needs to increase by 70 percent by 2050 to feed the growing population. However, the EU agricultural workforce has declined by 35% over the last decade, and 54% of...

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AppliedMath - ISSN 2673-9909