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Explain: Gradient in Polar Coordinates
explainseries
5,638 views
Describes why the formula for the gradient of a function in polar coordinates is what it is.
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Explain: Heat Conduction Equation
explainseries
4,965 views
Heat Conduction Equation
(Notation from the book: Intermediate Heat Transfer by Kau-Fui Vincent Wong)
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Explain: Mathematical "vector" versus MATLAB "vector"
explainseries
6,255 views
In in language of math (like continuum mechanics) a vector is a thing that has length and direction. In MATLAB, a vector is a list of numbers like [10, 20]. This talks abou...
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Explain: Scalar Projection
explainseries
14,066 views
Example of determining the scalar projection of vector a onto vector b.
References:
Calculus Concepts and Contexts by James Stewart
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Explain: Conservation of momentum and material derivative
explainseries
7,715 views
Why does the equation expressing conservation of momentum (Cauchy's equation of motion) use the material derivative D/Dt?
(Notation from the book Fluid Mechanics by Kundu ...
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Explain: Approximate integral of product of two functions
explainseries
932 views
Approximate the integral of product of two functions.
In continuum mechanics, when computing the power, you multiply the force by the velocity. Force and velocity can b...
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Explain: Stress Tensor
explainseries
22,977 views
Description of stress tensor. Notation from the book Introduction to Continuum Mechanics by Lai, Rubin, and Krempl, Third Edition.
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Explain: Force applied in different place, torque the same
explainseries
2,808 views
Talks about how you can move the point where a force is applied and keep the torque the same as long as you move along the direction of the force.
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Explain: Integration Blurb 2
explainseries
83 views
Something about integration, part 2.
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Explain: Integration Blurb 1
explainseries
126 views
Something about integration, part 1.
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