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APPENDIX 

 THE DIFFERENTIABLE FUNCTIONS f AND g 



Let f (x, y, t) and g(x, y, t) be two differentiable functions such that 



f(x,y,t) = f(x,-y,t), and g(x,y,t) = -g(x,-y,t) . (Al) 



We then obtain 



^(x,y,t)= Lt f(x.y^Ay.t)- f(x.y.t) 

 ^y Ay-.0 y 



f (x,-y- Ay,t) - f(x,-y,t) 

 = Lt 



Ay-»o y 



691 



