What are the practical applications of the Gamma function in various fields?

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The Gamma function is essential in complex analysis, differential equations, and functions of complex variables. Its applications extend across various fields, including physics, engineering, economics, and biology. The function plays a crucial role in solving problems related to probability and statistics, particularly in defining distributions. Additionally, it is used in calculating factorials for non-integer values, enhancing its utility in mathematical modeling. Overall, the Gamma function is a vital mathematical tool with diverse practical applications.
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What are practical applications of the gamma function?
 
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The Gamma function comes up frequently when studying functions of complex variables, complex analysis, and differential equations, and more. Those fields of mathematics have countless applications in Physics, Engineering, Economics, Biology, etc etc.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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