2023 June - 12 articles
be a field and ℓ an integer with ℓ ≥ 2. Then, there exists a standard graded Cohen–Macaulay domain A<ℓ> over such that dim A<ℓ> = 8ℓ − 3, a(A<ℓ>) = −4, and an h-vector (h0, h1,..., hsℓ), hsℓ ≠ 0, with h⌊sℓ/2⌋ = hsℓ−⌊sℓ/2⌋ + 22ℓ−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
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),...
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...
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...
We show how both smaller and more reliable p-values can be computed in Bell-type experiments by using statistical deviations from no-signalling equalities to reduce statistical noise in the estimation of Bell’s S or Eberhard’s J. Further...
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...
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...
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...
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...
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...
Let K be a field. In this paper, we construct a sequence of Cohen–Macaulay standard graded K-domains whose h-vectors are non-flawless and have exponentially deep flaws.
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