Class 13: Non-Linear Models

Question 1

what are the implications of Euler’s formula?

Answer 1

Question 2

what is harmonic analysis?

Answer 2

Question 3

What is Fourier Analysis?

Answer 3

Question 4

Since Fourier Transforms are used to analyze real-world signals, why is it useful to have complex (or imaginary) numbers involved at all?

Answer 4

It turns out the complex form of the equations makes things a lot simpler and more elegant. As such, everyone uses complex numbers, from physicists, to engineers, and mathematicians.

Question 5

magnitude of a complex number?

Answer 5

Question 6

what is the saw function?

Answer 6

Question 7

how is the Fourier Transform defined by?

Answer 7

Question 8

How is was the convolution defined?

Answer 8

Question 9

What is Parsevals theorem?

Answer 9

Question 10

what are the discrete fourier transform and fast fourier transform?

Answer 10

Question 11

What is the Secant method

Answer 11

Question 12

What is the bisection method?

Answer 12

Question 13

what is the intermediate value theorem?

Answer 13

Question 14

what is pseudo code?

Answer 14

Question 15

what is the stopping criteria?

Answer 15