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AppliedMath, Volume 4, Issue 1

March 2024 - 21 articles

Cover Story: Generations of physicists have been hesitant to explore the Landau pole in quantum field theory, partly for psychological rather than scientific reasons. This work is an expedition for the intrepid physicist to explore the Landau pole in scalar field theories without historical prejudice. Using a combination of basic mathematical tools such as analytic continuation and the method of steepest descent, I show that the Landau pole in certain scalar field theories is benign, and life at the Landau pole is possible. In particular, this work challenges the myths that scalar field theories in four dimensions cannot be asymptotically free or that these theories have to be quantum trivial. View this paper
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Articles (21)

  • Article
  • Open Access
3 Citations
2,147 Views
33 Pages

17 March 2024

The reliability of the multicomponent stress–strength system was investigated under the two-parameter Burr X distribution model. Based on the structure of the system, the type II censored sample of strength and random sample of stress were obta...

  • Article
  • Open Access
1,466 Views
11 Pages

16 March 2024

In this paper, we address the inverse of a true fourth-degree permutation polynomial (4-PP), modulo a positive integer of the form 32kLΨ, where kL∈{1,3} and Ψ is a product of different prime numbers greater than...

  • Review
  • Open Access
6 Citations
1,958 Views
20 Pages

Four measures of association, namely, Spearman’s ρ, Kendall’s τ, Blomqvist’s β and Hoeffding’s Φ2, are expressed in terms of copulas. Conveniently, this article also includes explicit expressions for their emp...

  • Article
  • Open Access
1 Citations
1,439 Views
15 Pages

This paper investigates a financial market where asset prices follow a multi-dimensional Brownian motion process and a multi-dimensional Poisson process characterized by diverse credit and deposit rates where the credit rate is higher than the deposi...

  • Article
  • Open Access
4 Citations
2,597 Views
28 Pages

A Block Hybrid Method with Equally Spaced Grid Points for Third-Order Initial Value Problems

  • Salma A. A. Ahmedai Abd Allah,
  • Precious Sibanda,
  • Sicelo P. Goqo,
  • Uthman O. Rufai,
  • Hloniphile Sithole Mthethwa and
  • Osman A. I. Noreldin

In this paper, we extend the block hybrid method with equally spaced intra-step points to solve linear and nonlinear third-order initial value problems. The proposed block hybrid method uses a simple iteration scheme to linearize the equations. Numer...

  • Article
  • Open Access
1 Citations
2,056 Views
15 Pages

Comparative Study of Monte Carlo Simulation and the Deterministic Model to Analyze Thermal Insulation Costs

  • Marco Antonio Montufar Benítez,
  • Jaime Mora Vargas,
  • José Raúl Castro Esparza,
  • Héctor Rivera Gómez and
  • Oscar Montaño Arango

The main purpose of this paper is to implement a simulation model in @RISKTM and study the impact of incorporating random variables, such as the degree days in a traditional deterministic model, for calculating the optimum thickness of thermal insula...

  • Article
  • Open Access
1 Citations
1,378 Views
16 Pages

In this work, we investigate isothermal MHD motions of a large class of rate type fluids through a porous medium between two infinite horizontal parallel plates when a differential expression of the non-trivial shear stress is prescribed on the bound...

  • Article
  • Open Access
1 Citations
1,580 Views
28 Pages

17 February 2024

The quantile method transforms each complex object described by different histogram values to a common number of quantile vectors. This paper retraces the authors’ research, including a principal component analysis, unsupervised feature selecti...

  • Article
  • Open Access
2 Citations
1,836 Views
11 Pages

On Some Properties of a Complete Quadrangle

  • Vladimir Volenec,
  • Marija Šimić Horvath and
  • Ema Jurkin

5 February 2024

In this paper, we study the properties of a complete quadrangle in the Euclidean plane. The proofs are based on using rectangular coordinates symmetrically on four vertices and four parameters a,b,c,d. Here, many properties of the complete quadrangle...

  • Feature Paper
  • Article
  • Open Access
1,361 Views
25 Pages

Convection of Physical Quantities of Random Density

  • Elisabetta Barletta,
  • Sorin Dragomir and
  • Francesco Esposito

5 February 2024

We study the random flow, through a thin cylindrical tube, of a physical quantity of random density, in the presence of random sinks and sources. We model convection in terms of the expectations of the flux and density and solve the initial value pro...

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AppliedMath - ISSN 2673-9909