Complex numbers 1.5 True or false: All numbers are Complex numbers.
Complex numbers are defined around the number.
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Transcript of Complex numbers are defined around the number.
![Page 1: Complex numbers are defined around the number.](https://reader030.fdocuments.net/reader030/viewer/2022032722/56649f3e5503460f94c5f6c9/html5/thumbnails/1.jpg)
Presentation by Matt Horn
Presentation Options
USES OF COMPLEX NUMBERS
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DETAILED PRESENTATIONS
I know what a complex
number isAbstract
usesConcrete
uses
All uses
I don’t know what a complex
number isAbstract
usesConcrete
uses
All uses
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WHAT IS A COMPLEX NUMBER?
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WHAT IS A COMPLEX NUMBER?
• Complex numbers are defined around the number 1i
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POLYNOMIAL EQUATIONS
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POLYNOMIAL EQUATIONS
• Technically abstract use• Many things in real life can be
modeled with polynomials• Polynomials are equations with
to powers• Examples of polynomials:
x
3563 234 xxxx
32009 x
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ELECTRICAL ENGINEERING
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ELECTRICAL ENGINEERING
• Concrete use• Complex numbers sometimes used
to model vectors• Sometimes used just to simplify
work• As long as you don’t end up with 4i
of anything in the real world, you’re okay
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SIGNAL PROCESSING
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SIGNAL PROCESSING
• Concrete use• Processing sound, images, and
medical data
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CONTROL THEORY
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CONTROL THEORY
• Concrete use• Used to determine stability of a
dynamic system (i.e. populations of wildlife)
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ELECTROMAGNETISM
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ELECTROMAGNETISM
• Abstract use• Physics of electricity and
magnetism
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QUANTUM MECHANICS
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QUANTUM MECHANICS
• Technically concrete use• Schrodinger’s wave function
describes the behavior of electrons with i
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CARTOGRAPHY
• Concrete use• Study of maps and mapmaking
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VIBRATION ANALYSIS
• Concrete use• Study of vibration
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AEROSPACE ENGINEERING
Concrete use Used to shape the airfoil of a plane
wing
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BIBLIOGRAPHY
Facts• Wikipedia• Analog Devices
Images• University of New South Wales• The Bogdan Petriceicu Hasdeu National College in Romania• Thomas Jefferson National Accelerator Facility• Math Warehouse• University of Virginia• Rollins University• Wikimedia• Gregoriousthoughts.blogspot.com• University of Wisconsin• Neurodudes• CIMEC in Australia• Clip art