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An integral sign struck through with a short bar, meaning a symmetric limit around a singularity.
Also known as: Principal value integral, p.v. integral, Struck integral sign
The struck-through integral sign says the integral does not converge in the ordinary sense and is being evaluated as a symmetric limit that excludes a singular point. It is a claim about how the value was obtained, not a decoration: an ordinary integral sign in the same place would be false.
Denotes the Cauchy principal value: a symmetric limit taken around a point where the integrand is unbounded.
Contexts: Mathematics
Is written as a strike through the integral sign, occasionally as a 'p.v.' or 'P' prefix instead; the three are the same claim.
Contexts: Mathematics
A tall elongated S-shape with a short horizontal bar drawn through its middle.