Abstract: Hyperbolic tangent function is approximated using piecewise linear approximation. This approximation can be used in any embedded hardware architecture where occupied chip space is a ...
The derivatives for any functions like polynomial, power, exponential, logarithmic and circular functions can be easily found by knowing the derivative for their base function. For example, the ...
In the study of circular functions, the unit circle plays a central role in linking angles with trigonometric values. By defining sine, cosine, and tangent in terms of coordinates on a circle of ...
Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...
Abstract: The sine-cosine algorithm (SCA) is a metaheuristic algorithm based on the trigonometric functions sine and cosine to explore and exploit the searching area. However, typical SCA faces ...
The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...
In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.
This week, Mark Zuckerberg's Meta announced a new open-source artificial intelligence (AI) model that promised to compete or oven outperform Sam Altman's OpenAI GPT models and other AI chatbots on the ...
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