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11: 3.8 Nonlinear Equations
This is an iterative method for real twice-continuously differentiable, or complex analytic, functions: …
12: 30.13 Wave Equation in Prolate Spheroidal Coordinates
If b 1 = b 2 = 0 , then the function (30.13.8) is a twice-continuously differentiable solution of (30.13.7) in the entire ( x , y , z ) -space. …
13: 2.10 Sums and Sequences
Secondly, when f ( z ) g ( z ) is m times continuously differentiable on | z | = r the result (2.10.29) can be strengthened. …
14: 3.11 Approximation Techniques
If f is continuously differentiable on [ 1 , 1 ] , then with …
15: 3.3 Interpolation
If f and the z k ( = x k ) are real, and f is n times continuously differentiable on a closed interval containing the x k , then …
16: 10.43 Integrals
  • (a)

    On the interval 0 < x < , x 1 g ( x ) is continuously differentiable and each of x g ( x ) and x d ( x 1 g ( x ) ) / d x is absolutely integrable.

  • 17: 1.9 Calculus of a Complex Variable
    An arc C is given by z ( t ) = x ( t ) + i y ( t ) , a t b , where x and y are continuously differentiable. …
    18: 1.14 Integral Transforms
    Suppose f ( t ) is continuously differentiable on ( , ) and vanishes outside a bounded interval. …
    19: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
    For f ( x ) piecewise continuously differentiable on [ 0 , )
    20: 22.16 Related Functions
    where the inverse sine has its principal value when K x K and is defined by continuity elsewhere. … am ( x , k ) is an infinitely differentiable function of x . …