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I want to plot functions & integrals with vector variable the present in this paper.

For example the equation (5) at p. 3: I want to plot a chart like figure 5, i.e. the $x$-axis is the angle between vector $\mathbf S$ and $\mathbf V$ of equation (5), and the $y$-axis is the function value, and I also need to set condition that if $\mathbf R_l\cdot\mathbf V<0$, then the function value is $0$.

figure 5

And a more complex one is the $H_s(\mathbf S)$ function at p. 8; this is an integral with vector variable and the integral domain is a hemisphere. How do I plot a chart also like figure 5?

Thanks.

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closed as off-topic by Kuba, Yves Klett, RunnyKine, m_goldberg, Sjoerd C. de Vries Apr 29 at 21:43

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question cannot be answered without additional information. Questions on problems in code must describe the specific problem and include valid code to reproduce it. Any data used for programming examples should be embedded in the question or code to generate the (fake) data must be included." – Kuba, RunnyKine, m_goldberg, Sjoerd C. de Vries
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Welcome to Mathematica.SE, Seila! Please let us know what you have tried so far. Is there a specific problem with your existing code? If so, please post a minimal working example to show where you got stuck, formatting it by indenting with the {} button. You can also use LaTeX markup for math. I'd also recommend that you register your account, so that you can post from more than one machine as the same user. –  Verbeia Oct 8 '12 at 6:27
    
Please try to make your question self-contained, i.e. include everything necessary to enable answering it without having to use other sources. Browsing an entire paper to help you plot is not very attractive. And showing what you already tried/coded will also be important. Just requesting someone to plot your graphs will not get you many answers. –  Yves Klett Apr 29 at 15:38