Please, HELP ME indentify this equation

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The equation in question relates to acceleration in curved spaces or manifolds, as indicated by its appearance in the context of fictitious forces in curvilinear coordinates on Wikipedia. The discussion highlights a connection to virtual work, suggesting that the equation may involve summing virtual work across different directions. A user noted the importance of including a boldface "a" in front of the equation for clarity. The original poster found the equation on Wikipedia, prompting the inquiry for identification. The conversation emphasizes the need for context to fully understand the equation's application.
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Cannot recognize the use or description of this equation... can anyone help me?

Thanks in advance
 

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The gamma here is from tensor calculus. Everything outside the bracketed part reminds me of virtual work almost. It could be acceleration equals the sum of the virtual work in each k^th direction (plus some mixing up of the indices). Now, I haven't had enough tensor calculus to help you more; sorry.

I have a question though. Where did you find this equation? I have no context to work with here.
 
I thought about what I posted and then started searching for those key terms I talked about. I found the image on Wikipedia (the source of all knowledge) under the section on Fictitious Forces in Curvilinear Coordinates. It was the last equation given. I thought it was similar in form, so I posted it.

dbe726d8d53aa4fc458150c380535db4.png


There should be a bold face a in front of the equation. Wikipedia says this is for acceleration in curved spaces/manifolds.

The website is:

http://en.wikipedia.org/wiki/Mechanics_of_planar_particle_motion

Hope that helped!
 
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