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AppliedMath, Volume 3, Issue 2

2023 June - 12 articles

Cover Story: In this paper, we construct a sequence of standard graded CohenMacaulay domains that have h-vectors with exponentially deep flaws. Let be a field and an integer with ≥ 2. Then, there exists a standard graded Cohen–Macaulay domain A<ℓ> over such that dim A<> = 8 − 3, a(A<>) = −4, and an h-vector (h0, h1,..., hsℓ), hsℓ ≠ 0, with hsℓ/2⌋ = hsℓ−⌊sℓ/2⌋ + 22−3. In particular, A<2>, A<3>, ... is a sequence of Cohen–Macaulay standard graded domains over that have exponentially deep flaws. View this paper
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Articles (12)

  • Article
  • Open Access
3 Citations
2,347 Views
13 Pages

We have studied how the readability of a text can change in translation by considering Matthew’s Gospel, written in Greek, translated into Latin and 35 modern languages. We have found that the deep-language parameters CP (characters per word),...

  • Article
  • Open Access
2 Citations
3,009 Views
29 Pages

This research employs computational methods to analyze the velocity and mixture fraction distributions of a non-reacting Propane jet flow that is discharged into parallel co-flowing air under iso-thermal conditions. This study includes a comparison b...

  • Article
  • Open Access
1 Citations
2,016 Views
7 Pages

A Novel Algebraic System in Quantum Field Theory

  • Abdulaziz D. Alhaidari and
  • Abdallah Laradji

An algebraic system is introduced which is very useful for performing scattering calculations in quantum field theory. It is the set of all real numbers greater than or equal to −m2 with parity designation and a special rule for addition and su...

  • Article
  • Open Access
16 Citations
7,992 Views
29 Pages

Hepatocellular carcinoma (HCC) is the primary liver cancer that occurs the most frequently. The risk of developing HCC is highest in those with chronic liver diseases, such as cirrhosis brought on by hepatitis B or C infection and the most common typ...

  • Article
  • Open Access
2,086 Views
11 Pages

In the first part of this article, we present a new proof for Korn’s inequality in an n-dimensional context. The results are based on standard tools of real and functional analysis. For the final result, the standard Poincaré inequality...

  • Article
  • Open Access
3 Citations
5,510 Views
11 Pages

A Generalized Series Expansion of the Arctangent Function Based on the Enhanced Midpoint Integration

  • Sanjar M. Abrarov,
  • Rehan Siddiqui,
  • Rajinder Kumar Jagpal and
  • Brendan M. Quine

17 April 2023

In this work, we derive a generalized series expansion of the acrtangent function by using the enhanced midpoint integration (EMI). Algorithmic implementation of the generalized series expansion utilizes a two-step iteration without surd or complex n...

  • Article
  • Open Access
2 Citations
3,648 Views
52 Pages

Based on the geometry of a radial function, a sequence of approximations for arcsine, arccosine and arctangent are detailed. The approximations for arcsine and arccosine are sharp at the points zero and one. Convergence of the approximations is prove...

  • Article
  • Open Access
20 Citations
12,686 Views
27 Pages

Our research involves analyzing the latest models used for electricity price forecasting, which include both traditional inferential statistical methods and newer deep learning techniques. Through our analysis of historical data and the use of multip...

  • Article
  • Open Access
2,359 Views
19 Pages

In interval-valued three-way decision, the reflection of decision-makers’ preference under the full consideration of interval-valued characteristics is particularly important. In this paper, we propose an interval-valued three-way decision mode...

  • Article
  • Open Access
3 Citations
2,174 Views
18 Pages

24 March 2023

In this work, we studied convergence rates using quotient convergence factors and root convergence factors, as described by Ortega and Rheinboldt, for Hestenes’ Gram–Schmidt conjugate direction method without derivatives. We performed com...

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AppliedMath - ISSN 2673-9909