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About Dr Peyam
Just some fun math videos, ranging from calculus and linear algebra, to analysis and pde
Recent Videos from Dr Peyam
Laplace integral gone BANANAS 🍌
Calculating integral using Laplace transforms. Evaluating integral of x^m (1-x)^n from 0 to 1 using convolution and Laplace transforms of functions, which is useful for engineering systems. I use a u sub and then apply the transform to power functions, which then turns it into a product of transfor… the anti Pythagorean theorem?
an anti Pythagorean theorem. Here is a geometry identity related to Pythagoras from 8th grade math which you may not know about. It relates the sides of a triangle where one angle is 60 degrees. It all starts with a high school problem about triangles and circles and uses the law of cosine from pre… what is the plastic ratio?
what is the plastic ratio? I define the plastic number and explain its properties, first as a cubic equation and a Fibonacci sequence to count bunnies, then as a fractal cube root with self similarities, and finally a cool formula with hyperbolic cosine function substitution. This is a cool journey…