cauchypv
http://www.openmath.org/cd/cauchypv.ocd
2002-09-01
experimental
2001-09-23
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alg1
arith1
expint
fns1
interval1
list1
nums1
transc1
relation1
quant1
logic1
This CD extends calculus1 (compatible with the calculus operations
in Content MathML) with a Cauchy principal value definite integral.
defint
This symbol is used to represent definite (Cauchy principal value)
integration of unary functions. It takes two arguments; the first being
the range (e.g. a set) of integration, and the second the function.
for all a,b | integral from a to b = -integral from b to a
An example: the definition of the exponential integral.
$$Ei(x)=\int_{-\infty}^x\frac{e^t}t dt\qquad(x>0)$$