Darboux Integral
A variant of the Riemann Integral defined when the Upper and Lower Integrals, taken as limits of the Lower Sum
and Upper Sum
are equal. Here,
is a Real Function, 
is a monotonic increasing function with respect to which thesum is taken, 
denotes the lower bound of over the interval 
, and 
denotes the upper bound.See also Lower Integral, Lower Sum, Riemann Integral, Upper Integral, Upper Sum
References
Kestelman, H. Modern Theories of Integration, 2nd rev. ed. New York: Dover, p. 250, 1960.
- Ellipsoidal Calculus
- Ellipsoidal Coordinates
- Ellipsoidal Harmonic
- Ellipsoidal Harmonic of the First Kind
- Ellipsoidal Harmonic of the Second Kind
- Ellipsoid Geodesic
- Elliptic Alpha Function
- Elliptical Projection
- Elliptic Cone
- Elliptic Cone Point
- Elliptic Curve
- Elliptic Curve Factorization Method
- Elliptic Curve Group Law
- Elliptic Curve Primality Proving
- Elliptic Cylinder
- Elliptic Cylindrical Coordinates
- Elliptic Delta Function
- Elliptic Exponential Function
- Elliptic Fixed Point (Differential Equations)
- Elliptic Fixed Point (Map)
- Elliptic Function
- Elliptic Functional
- Elliptic Geometry
- Elliptic Group Modulo p
- Elliptic Helicoid