Unizor - Creative Mind through Art of Mathematics

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Title of Unizor - Creative Mind through Art of Mathematics: "Unizor - Creative Mind through Art of Mathematics"

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Math 4 Teens - Path Integral Problems2 days

Notes to a video lecture on //www.unizor.com

Path Integral Problems

Problem 1

How to determine whether a sufficiently differentiable two-dimensional vector-function is conservative?

Solution

Let F(x,y)={Fx(x,y);Fy(x,y)} be some two-dimensional vector-function with differen...

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Math4Teens - Path Integrals1 week

Notes to a video lecture on //www.unizor.com

Path/Line/Curvilinear Integral

Path Integral of Scalar Function

Recall the definition of a definite integral (Riemann integral) of real function F(x) defined on interval [a,b]:
I = ∫abF(x) dx = lim Σi∈[1,N] F(xi)·...

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Math4Teens - Path Integral Properties1 week

Notes to a video lecture on //www.unizor.com

Path Integral Properties

The properties of path integrals below follow from the definition of path integral in terms of regular integral using the parameterization of the path
γ = γ(s) = {x(s),y(s),z(s)} for s∈[0,S]
and corresponding properties of regular...

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