complex numbers are defined around the number
TRANSCRIPT
Presentation by Matt Horn
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USES OF COMPLEX NUMBERS
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
WHAT IS A COMPLEX NUMBER?
WHAT IS A COMPLEX NUMBER?
• Complex numbers are defined around the number 1i
POLYNOMIAL EQUATIONS
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
ELECTRICAL ENGINEERING
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
SIGNAL PROCESSING
SIGNAL PROCESSING
• Concrete use• Processing sound, images, and
medical data
CONTROL THEORY
CONTROL THEORY
• Concrete use• Used to determine stability of a
dynamic system (i.e. populations of wildlife)
ELECTROMAGNETISM
ELECTROMAGNETISM
• Abstract use• Physics of electricity and
magnetism
QUANTUM MECHANICS
QUANTUM MECHANICS
• Technically concrete use• Schrodinger’s wave function
describes the behavior of electrons with i
CARTOGRAPHY
• Concrete use• Study of maps and mapmaking
VIBRATION ANALYSIS
• Concrete use• Study of vibration
AEROSPACE ENGINEERING
Concrete use Used to shape the airfoil of a plane
wing
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
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