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Complex exponential magnitude
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A closer look at the complex exponential term in Euler's Formula. We see that it represents a complex number, a distance of 1 from the origin of the complex plane. Created by Willy McAllister.

Subject:
Applied Science
Engineering
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Willy McMaster
Date Added:
08/03/2016
Complex exponentials spin
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When we put time in the exponent of a complex exponential, the complex number it represent rotates in a circle on the complex plane. You can think of it as a spinning number! Created by Willy McAllister.

Subject:
Applied Science
Engineering
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Willy McMaster
Date Added:
08/03/2016
Complex numbers
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Complex numbers can be represented three ways on the complex plane: cartesian coordinates, radius and angle, and exponential form. Created by Willy McAllister.

Subject:
Applied Science
Engineering
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Sal Khan
Date Added:
02/12/2014
Complex rotation
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Multiplying a real or complex number by the imaginary unit j corresponds to a rotation by +90 degrees. This is the key feature of j that makes it such a useful number. Created by Willy McAllister.

Subject:
Applied Science
Engineering
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Willy McMaster
Date Added:
08/01/2016
Complex sentences
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Complex sentences are simple sentences with dependent or subordinate clauses added to them. Paige and Rosie explain how to spot them and use them in this video.

Subject:
English Language Arts
Language, Grammar and Vocabulary
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
David Rheinstrom
Date Added:
07/29/2021
Component mounting holes
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In this video we show you how and where to create the mounting holes in BIt-zee's Lexan base for the arduino, batteries, camera, on/off switch and wire routing. Created by Karl Wendt.

Subject:
Applied Science
Engineering
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Karl Wendt
Date Added:
10/08/2012
Components of GDP
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When using the expenditures approach to calculating GDP the components are consumption, investment, government spending, exports, and imports. In this video, we explore these components in more detail. Created by Sal Khan.

Subject:
Economics
Social Science
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Sal Khan
Date Added:
07/27/2021
Compound-complex sentences
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Compound-complex sentences are compound sentences with dependent or subordinate clauses added to them. Paige and Rosie explain how to spot and use them.

Subject:
English Language Arts
Language, Grammar and Vocabulary
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
David Rheinstrom
Date Added:
07/29/2021
Compound prepositions
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These prepositions are called compound prepositions, or multisyllabic prepositions. Like most prepositions, they have both literal and figurative meanings. David explains.

Subject:
English Language Arts
Language, Grammar and Vocabulary
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
David Rheinstrom
Date Added:
07/29/2021