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Discovery of the Heart in Mathematics: Modeling the Chaotic Behaviors of Quantized Periods in the Mandelbrot Set

Golla et al. | Dec 14, 2020

Discovery of the Heart in Mathematics: Modeling the Chaotic Behaviors of Quantized Periods in the Mandelbrot Set

This study aimed to predict and explain chaotic behavior in the Mandelbrot Set, one of the world’s most popular models of fractals and exhibitors of Chaos Theory. The authors hypothesized that repeatedly iterating the Mandelbrot Set’s characteristic function would give rise to a more intricate layout of the fractal and elliptical models that predict and highlight “hotspots” of chaos through their overlaps. The positive and negative results from this study may provide a new perspective on fractals and their chaotic nature, helping to solve problems involving chaotic phenomena.

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Characterization of antibacterial properties of common spices

Gehad et al. | Oct 03, 2020

Characterization of antibacterial properties of common spices

Bacterial infection is resurging as one of the most dangerous challenges facing the medical establishment. Americans spend about 55 to 70 billion dollars per year on antibiotics, yet these antibiotics are becoming increasingly ineffective as illness-causing bacteria gain resistance to the prescribed drugs. We tested if 11 commonly-used spices could inhibit growth of the gram-negative bacteria, E. coli, the main takeaway from these experiments is that certain spices and herbs have antibacterial effects that inhibit growth of E.coli , and these spices could show similarly promising activity towards other bacteria.

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The Effect of Different Fructose Diets on the Lifespan of C. elegans

Chen et al. | May 10, 2020

The Effect of Different Fructose Diets on the Lifespan of <em>C. elegans</em>

High-fructose diets consumed widely in modern societies predisposes to metabolic diseases such as diabetes. Using the worm C. elegans, the authors of this study investigated the effect of fructose on the worm's survival rates. They found that worms fed 15% fructose had a lower life expectancy than those on a fructose-free diet. These results suggest that, like in humans, fructose has a negative effect on worm survival, which makes them an easy, attractive model to study the effects of fructose on health.

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How Ya Doin'? with COVID-19

Kung et al. | Dec 02, 2021

How Ya Doin'? with COVID-19

In this study, the authors survey students and adults about how the COVID-19 pandemic has impacted their sleep patterns, eating habits, mood, physical activity, and screen time.

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The Effect of School Climate and Parenting Style on Academic Achievement

Myers et al. | Dec 16, 2020

The Effect of School Climate and Parenting Style on Academic Achievement

Research suggests that less effective styles of parenting tend to negatively affect grades, and more effective styles tend to produce higher grades. In this study, the authors verify previous research and confirm such relationships in a sample of African American students in a college preparatory program. By obtaining students’ perception of their school’s climate and parent’s parenting styles by various methods, the authors determined correlated these perceptions to student grades. They found no significant relationship between school climate and academic achievement.

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Forecasting air quality index: A statistical machine learning and deep learning approach

Pasula et al. | Feb 17, 2025

Forecasting air quality index: A statistical machine learning and deep learning approach
Image credit: Amir Hosseini

Here the authors investigated air quality forecasting in India, comparing traditional time series models like SARIMA with deep learning models like LSTM. The research found that SARIMA models, which capture seasonal variations, outperform LSTM models in predicting Air Quality Index (AQI) levels across multiple Indian cities, supporting the hypothesis that simpler models can be more effective for this specific task.

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