Explains the link between sinusoidal signals (in the "real world") and complex numbers (in the "maths world").
* One point to note is that I have used "j" for the complex variable, instead of "i" (which is more commonly used). This is because I am an electrical engineer, and we use "i" for electrical current, so we use "j" for the complex variable to avoid confusing ourselves (except then of course it can be confusing for physicists and mathematicians! ... sorry about that, but it is just the way it is.)
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Related videos: (see http://www.iaincollings.com)
• Why are Complex Numbers written with Exponentials? https://youtu.be/Cy5IQnBpJoA
• Essential Maths Needed to Study Signals and Systems https://youtu.be/haGIu-INQpo
• What is Negative Frequency?: https://youtu.be/gz6AKW-R69s
• Visualising Complex Numbers with an Example https://youtu.be/hXl5uX6Ysh0
• Fourier Transform Equation Explained https://youtu.be/8V6Hi-kP9EE
• What Does "Linear Phase" Mean? https://youtu.be/aQ__XatMxJo
• Is Phase important in the Fourier Transform? https://youtu.be/WyFO6yBQ0Cg
• What are Voltage and Current in Electric Circuits? An Electrical Engineering Perspective. https://youtu.be/XFJDl2pZinc
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