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VariationalCalculus[Weierstrass] - compute the Weierstrass excess function
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Calling Sequence
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Weierstrass(f, t, x(t), p)
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Parameters
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f
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expression in t, x(t), and x'(t)
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t
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independent variable
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x(t)
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unknown function (or list of functions)
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p
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name to use for the vector p[1..n]
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Description
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The Weierstrass(f, t, x, x(t), p) command computes the Weierstrass excess function
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](/support/helpjp/helpview.aspx?si=9082/file03357/math78.png)
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The Cauchy-Schwarz inequality can be used to determine the sign of the expression.
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Examples
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>
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![[ConjugateEquation, Convex, EulerLagrange, Jacobi, Weierstrass]](/support/helpjp/helpview.aspx?si=9082/file03357/math113.png)
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A Lagrange Multiplier Problem (Queen Dido's problem): Find the maximum area enclosed by a curve of length  .
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![lambda*(1+(diff(y(t), t))^2)^(1/2)-lambda*(1+p[1]^2)^(1/2)-(diff(y(t), t)-p[1])*lambda*p[1]/(1+p[1]^2)^(1/2)](/support/helpjp/helpview.aspx?si=9082/file03357/math131.png)
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