Tuesday, November 09, 2021

11-09-2021 Imaginary Numbers Are Important

It has now been over a year since I had my amazing Quantum Healing Hypnosis Therapy (QHHT) session. My visions were very powerful and revealed glimpses of a few of my past lives as well as my eternal soul's journey through heaven. This has been a huge, unexpected turn in my journey to achieve an understanding of  Deja Vu and how people can see ghosts.

I am still struggling through writing a book about my QHHT session experience because the visions were very unfamiliar to me. I have a scientific background- not a spiritual, metaphysical background. 

I needed to carefully listen to my QHHT session recordings and research each foreign concept and vision revealed to me. I am still working on deciphering all the strange visions I had during my QHHT session on 11-01-2020.

This morning I wake up and have this persistent message in my head reminding me to look up the meaning of "imaginary numbers". I have learned not to ignore such strong messages from what I believe now are from my spirit guides who are responsible for guiding my eternal soul towards a closer relationship with God.

I don't even know what imaginary numbers are and why I would get a persistent message in my head as I woke up on the morning of 11-09-2021. Even the date I had the strong, persistent message on is a hint 

- I need to pay attention to this persistent message in my head.

I looked up the definition for imaginary numbers.

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i,[note 1] which is defined by its property i2 = −1.[1][2] The square of an imaginary number bi is b2. For example, 5i is an imaginary number, and its square is −25. By definition, zero is considered to be both real and imaginary.[3]

Originally coined in the 17th century by René Descartes[4] as a derogatory term and regarded as fictitious or useless, the concept gained wide acceptance following the work of Leonhard Euler (in the 18th century) and Augustin-Louis Cauchy and Carl Friedrich Gauss (in the early 19th century).

An imaginary number bi can be added to a real number a to form a complex number of the form a + bi, where the real numbers a and b are called, respectively, the real part and the imaginary part of the complex number.[5][note 2]

Ref. https://en.wikipedia.org/wiki/Imaginary_number


Wow! Imaginary and complex numbers ARE important!

Imaginary Numbers are not "Imaginary"

Imaginary Numbers were once thought to be impossible, and so they were called "Imaginary" (to make fun of them).

But then people researched them more and discovered they were actually useful and important because they filled a gap in mathematics ... but the "imaginary" name has stuck.

And that is also how the name "Real Numbers" came about (real is not imaginary).

Imaginary Numbers are Useful

 

complex plane vector add

Complex Numbers

Imaginary numbers become most useful when combined with real numbers to make complex numbers like 3+5i or 6−4i

Spectrum Analyzer

spectrum analyzer

Those cool displays you see when music is playing? Yep, Complex Numbers are used to calculate them! Using something called "Fourier Transforms".

In fact many clever things can be done with sound using Complex Numbers, like filtering out sounds, hearing whispers in a crowd and so on.

It is part of a subject called "Signal Processing".

 

Electricity

plug
sine waves

AC (Alternating Current) Electricity changes between positive and negative in a sine wave.

When we combine two AC currents they may not match properly, and it can be very hard to figure out the new current.

But using complex numbers makes it a lot easier to do the calculations.

And the result may have "Imaginary" current, but it can still hurt you!

Mandelbrot Set Zoomed In

 

Mandelbrot Set

The beautiful Mandelbrot Set (part of it is pictured here) is based on Complex Numbers.

Quadratic Equation

Quadratic Equation

The Quadratic Equation, which has many uses,
can give results that include imaginary numbers

Also Science, Quantum mechanics and Relativity use complex numbers.’

Ref. https://www.mathsisfun.com/numbers/imaginary-numbers.html



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