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interval1
http://www.openmath.org/cd
http://www.openmath.org/cd/interval1.ocd
2014-04-01
2009-04-01
4
0
Author: OpenMath Consortium SourceURL: https://github.com/OpenMath/CDs
official
This CD holds symbols which describe both discrete and continuous 1-dimensional intervals (with open/closed end points). There is also an oriented_interval, for use in integration
integer_interval
application
A symbol to denote a discrete 1 dimensional interval from the first argument to the second (inclusive), where the discretisation occurs at unit intervals. The arguments are the start and the end points of the interval in that order.
The integer interval 1, 2, ..., 10.
1
10
interval
application
A symbol to denote a continuous 1-dimensional interval without any information about the character of the end points (used in definite integration). The arguments are the start and the end points of the interval in that order.
The interval 1.0, ..., 10.0.
oriented_interval
application
A symbol to denote a continuous 1-dimensional interval without any information about the character of the end points (used in definite integration). The arguments are the start and the end points of the integration, in either order.
interval_oo
application
A symbol to denote a continuous 1-dimensional interval with both end points excluded from the interval. The arguments are the start and the end points of the interval in that order.
The continuous open interval (1,10).
1
10
interval_cc
application
A symbol to denote a continuous 1-dimensional interval with both end points included in the interval. The arguments are the start and the end points of the interval in that order.
The continuous closed interval [1,10].
1
10
interval_oc
application
A symbol to denote a continuous 1-dimensional interval with the first point excluded from the interval, but the last included. The arguments are the start and the end points of the interval in that order.
The continuous interval open at the lower bound and closed at the higher bound (1,10].
1
10
interval_co
application
A symbol to denote a continuous 1-dimensional interval with the first point included in the interval, but the last excluded. The arguments are the start and the end points of the interval in that order.
The continuous interval closed at the lower bound and open at the higher bound [1,10).
1
10