What are the 8 formulas I need to locate in my textbook?

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The discussion focuses on identifying various equations and their applications, particularly in wave dynamics and acoustics. Equation 3 relates to wave speed in terms of wavelength and frequency, while 5 connects angular frequency to ordinary frequency. Equations 2 and 6 describe acoustic harmonics for open and closed tubes, respectively, and are linked to solutions of partial differential equations. Equation 1 appears to be a solution to Laplace's equation, while 7 addresses reflection magnitude and 8 pertains to the thin lens equation. The conversation suggests the need for a comprehensive index of formulas in textbooks for easier reference.
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4. [PLAIN]http://img176.imageshack.us/img176/7186/34581263.jpg
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6. [PLAIN]http://img291.imageshack.us/img291/5840/49412218.jpg [/PLAIN]
7. [PLAIN]http://img809.imageshack.us/img809/8945/20137696.jpg [/PLAIN]
8. [PLAIN]http://img99.imageshack.us/img99/7555/78954615.jpg
 
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What do you want to know? These are not equations with fancy names.
 
3 is from wave dynamics...I don't know if it has a name, but it describes the speed of a wave in terms of its wavelength and frequency or period.

5 relates angular frequency to ordinary frequency.

2 and 6 describes the acoustic harmonics of a tube...I think 2 describes an open tube, 6 a tube that is closed on one end.
 
2. and 6. do not need to be associated with acoustics, they are very general parts of solutions to that type of partial differential equation. 1 could arise in any number of ways, it looks like the solution to a PDE, like Laplace's equation. 4 and 5 are pretty self explanatory. 7 looks like it describes a reflection magnitude. 8 is a thin lens equation.
 
i'm just trying to locate them in the textbook, so basically i'd like to know which section they belong in

thanks for the help so far

It would be a good idea to have an index of formulas in textbooks
 
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Maxwell’s equations imply the following wave equation for the electric field $$\nabla^2\mathbf{E}-\frac{1}{c^2}\frac{\partial^2\mathbf{E}}{\partial t^2} = \frac{1}{\varepsilon_0}\nabla\rho+\mu_0\frac{\partial\mathbf J}{\partial t}.\tag{1}$$ I wonder if eqn.##(1)## can be split into the following transverse part $$\nabla^2\mathbf{E}_T-\frac{1}{c^2}\frac{\partial^2\mathbf{E}_T}{\partial t^2} = \mu_0\frac{\partial\mathbf{J}_T}{\partial t}\tag{2}$$ and longitudinal part...

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