mathematical signal pattern transforms

see also:

• History of Mathematics
• a brief summary of mathematical principles and tools
• a brief summary of number theory
• mensuration - how to measure area, volume, etc of various shapes
• Algebra
• geometry
• matrices
• Calculus
• Circular functions
• Coordinate geometry, parabolae, etc
• Finance equations
• Logarithmic, exponential and hyperbolic functions
• Probability theory
• a brief summary of statistics principles and tools

• a technique to expose the strengths of individual sinusoid frequencies that make up a pattern

• a technique that exposes the strengths of the sinusoid frequencies and the exponentials that make up a pattern
• indeed it is just the Fourier transform multiplied by an exponential term
• the output imaginary term gives us the coefficient or angular frequency of the sinusoidal
• the output real term gives us the coefficient of the exponential term
• it is also used to turn calculus into algebra:
  • https://www.youtube.com/watch?v=n2y7n6jw5d0
• see https://en.wikipedia.org/wiki/Laplace_transform