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The following tutorial is written by Luigi D. CAPRA. It is being shared here for your convenience.

[Original URL: http://ehmdunque.altervista.org/i-informatica/manuali/SVG-edit/SVG-Edit_2.6/Short_intro_SVG-edit.html]

• Q[6] :: Use residue theorem
• Q[8] :: Close the contour  and apply residue theorem
• Q[9] :: Use residue theorem
• Knowledge of branch point and branch cut required for Q[5]

Explain the relation between fundamental state and equation of state of a thermodynamic system.

The Mechanics Lessons included here are part study matertial for a course on Mechanics,  
Chennai Mathematical Institute (July - Nov 2019).  

Using time dependent Maxwell's equations and considering a charge distribution moving under influence of the electric and magnetic fields, an equation for rate of change of mechanical work done on the charges is derived, see EQ12. This equation is local conservation law of energy. It says that the rate of the sum of change energy of e.m. fields and work done in a volume \(V\) equals to the flow of energy through the boundary of the volume \(V\). The flow though the boundary is given by the Poynting vector \(\vec{S}\) defined in EQ10.

$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ 
$\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}$
$\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$
$\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$
$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$
$\newcommand{\average}[2]{\langle#1|#2|#1\rangle}$

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