Mathematics

THE UBIQUITY OF THE FIBONACCI NUMBERS.

The Ubiquity of the Fibonacci Numbers

Figure 1: The Fibonacci Spiral. A shape that is derivative of a special property of the Fibonacci Sequence, the Golden Ratio. The Fibonacci Spiral has a growth factor that is equivalent to the value of the Golden Ratio. Source: Pixabay Introduction Throughout history, human beings have engrossed themselves with the unabating search for patterns in …

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The Pathway to Sonogenetics: Understanding the Mechanical Nature of the Ultrasound Stimulation Mechanism in C. Elegans

The Pathway to Sonogenetics: Understanding the Mechanical Nature of the Ultrasound Stimulation Mechanism in C. Elegans

Figure 1: C. elegans in Agar under Microscope Magnification Source: Wikimedia Commons The paper, “Ultrasound Elicits Behavioral Responses through Mechanical Effects on Neurons and Ion Channels in a Simple Nervous System” (Jan Kubanek) discusses the mechanism by which ultrasound can stimulate a response from certain neurons in the brain of the roundworm, C. elegans (Kubanek, …

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How Math Could Save Lives

How Math Could Save Lives

Figure 1: A photo of the fractal pattern of a lightning bolt. Source: Wikimedia Commons Recent scientific research has explored the intersection of mathematics and medicine. The study of fractals in medicine in particular is a rapidly growing area that could assist physicians in diagnosing and treating diseases. In mathematics, fractals are defined as infinitely …

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The Speed of Sound Finally Bounded by Fundamental Constants

The Speed of Sound Finally Bounded by Fundamental Constants

Figure 1: FA-18 Hornet breaking the sound barrier (7 July 1999).  This is an image of  fighter jet travelling at the speed of sound (Mach 1). It was earlier speculated that sound moves fastest in denser materials such as diamond with speeds approaching 12,000 m/s. A team of researchers have found a new upper bound …

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The Aesthetic Nature of Infinity and Repetition Seen in the Illustrations of M.C. Escher Michael Del Sesto, Computer Science / Art Sciences / Mathematics

The Aesthetic Nature of Infinity and Repetition Seen in the Illustrations of M.C. Escher

Figure 1: “Tekening”, Sketch by M.C. Escher Image retrieved from Nationaal Archief Mauritius Cornelis Escher, a Dutch optical illusionist known for his symmetrical tile-like images, rose to fame in the United States during the 1960s and 1970s after Martin Gardner introduced the American audience to Escher’s work.1 Escher was a powerful influence on subsequent art …

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The Geography of Disease: a Bayesian Approach to Epidemiology

The Geography of Disease: a Bayesian Approach to Epidemiology

Figure 1: A map showing relative rates of pancreatic cancer across the globe. The darker the color, the higher the rate. 55% of the world’s cases come from developed countries because pancreatic cancer’s risk factors include obesity, smoking, and diabetes.  Image retrieved from Wikipedia Commons In recent years, mapping the rate of disease spread across …

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