Hasil untuk "math.MG"

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CrossRef Open Access 2026
Comparison of The Histology of Goblet Cells the Intestinal Mucosa Colon Induced by Cayenne Pepper at Doses of 45 mg, 90 mg, 135 mg, 180 mg

Sherly Usman

This study aimed to analyze the effect of cayenne pepper (Capsicum frutescens L.) juice on the histological structure of colonic mucosal crypts and the number of goblet cells in Wistar rats. Cayenne pepper contains capsaicin, flavonoids, and vitamin C, which exhibit both pro-inflammatory and anti-inflammatory properties. Goblet cells play an essential role in maintaining intestinal homeostasis by producing mucin that protects the mucosa from inflammation. This quasi-experimental study employed a post-test only control group design using 20 male Wistar rats divided into one control group and four treatment groups receiving cayenne pepper juice at doses of 45 mg, 90 mg, 135 mg, and 180 mg daily for seven days. On day seven, the rats were terminated, and colon tissues were processed for histological examination using hematoxylin-eosin staining. Observations were conducted under 40× magnification to measure crypt length and count goblet cells. Data were analyzed using the Shapiro–Wilk normality test followed by one-way ANOVA. The results showed significant differences among groups (p<0.05). The 90 mg group exhibited the shortest mean crypt length, while the 135 mg group had the lowest number of goblet cells, indicating greater mucosal damage. In contrast, the 180 mg group demonstrated the longest crypt length and highest goblet cell count, suggesting mucosal repair. These findings indicate that cayenne pepper induces dose-dependent effects on colonic mucosa, with higher doses potentially promoting mucosal regeneration.

arXiv Open Access 2023
The Blaschke-Lebesgue theorem revisited

Ryan Hynd

We revisit a classic proof of the Blaschke-Lebesgue theorem. It is based on the support function of a convex curve and the approximation of constant width curves by Reuleaux polygons.

en math.MG, math.OC
CrossRef Open Access 2020
Thicknesses/Roughness Relationship in Mg-Al-Mg and Mg-Ti-Mg Hybrid Component Plates for Drilled Aeronautical Lightweight Parts

David Blanco, Eva María Rubio, José Manuel Sáenz de Pipaón et al.

Multimaterial hybrid compounds formed from lightweight structural materials have been acquiring great importance in recent years in the aeronautical and automotive sectors, where they are replacing traditional materials to reduce the mass of vehicles; this will enable either an increase in the action ratio or a reduction in the fuel consumption of vehicles and, in short, will lead to savings in transport costs and a reduction in polluting emissions. Besides, the implementation of production and consumption models based on the circular economy is becoming more and more important, where the repair and, for this purpose, the use of recyclable materials, is crucial. In this context, the analysis of a repair process is carried out by re-drilling Mg-Al-Mg multimaterial components using experimental design (DoE) based on Taguchi methodology, an analysis of variance (ANOVA) and descriptive statistics. The study concludes which are the significant factors and interactions of the process, comparing the results with previous similar studies, and establishing bases to determine the optimum thicknesses of hybrid magnesium-based component plates of drilled parts in the aeronautical industry, guaranteeing surface roughness requirements in repair and maintenance operations throughout their lifetime.

CrossRef Open Access 2017
Determination of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mmultiscripts><mml:mi>Mg</mml:mi><mml:mprescripts/><mml:none/><mml:mn>36</mml:mn></mml:mmultiscripts><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>γ</mml:mi><mml:mo>)</mml:mo><mml:mmultiscripts><mml:mi>Mg</mml:mi><mml:mprescripts/><mml:none/><mml:mn>37</mml:mn></mml:mmultiscripts></mml:mrow></mml:math> reaction rate from Coulomb dissociation of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Mg</mml:mi><mml:mprescripts/><mml:none/><mml:mn>37</mml:mn></mml:mmultiscripts></mml:math>

Shubhchintak, R. Chatterjee, R. Shyam

11 sitasi en
arXiv Open Access 2015
Uniform nonextendability from nets

Assaf Naor

It is shown that there exist Banach spaces $X,Y$, a $1$-net $\mathscr{N}$ of $X$ and a Lipschitz function $f:\mathscr{N}\to Y$ such that every $F:X\to Y$ that extends $f$ is not uniformly continuous.

en math.MG, math.FA

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