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Python Pandas - Check if an Interval is closed on the right side
The closed_right property in Pandas allows you to check if an interval is closed on the right side. A right-closed interval includes its right endpoint but excludes the left endpoint, denoted as (a, b].
What is a Right-Closed Interval?
A right-closed interval (0, 20] includes all values where 0
Creating a Right-Closed Interval
First, import pandas and create an interval with closed='right' ?
import pandas as pd
# Create a right-closed interval (0, 20]
interval = pd.Interval(left=0, right=20, closed='right')
print("Interval:", interval)
Interval: (0, 20]
Checking if Interval is Right-Closed
Use the closed_right property to verify if the interval is closed on the right side ?
import pandas as pd
interval = pd.Interval(left=0, right=20, closed='right')
print("Is interval closed on right?", interval.closed_right)
print("Interval notation:", interval)
Is interval closed on right? True Interval notation: (0, 20]
Testing Endpoint Membership
Let's verify which endpoints are included in the right-closed interval ?
import pandas as pd
interval = pd.Interval(left=0, right=20, closed='right')
print("Interval:", interval)
print("Left endpoint (0) included?", 0 in interval)
print("Right endpoint (20) included?", 20 in interval)
print("Value 10 included?", 10 in interval)
Interval: (0, 20] Left endpoint (0) included? False Right endpoint (20) included? True Value 10 included? True
Comparing Different Interval Types
| Closed Parameter | Notation | closed_right | Includes Left | Includes Right |
|---|---|---|---|---|
| 'left' | [0, 20) | False | Yes | No |
| 'right' | (0, 20] | True | No | Yes |
| 'both' | [0, 20] | True | Yes | Yes |
| 'neither' | (0, 20) | False | No | No |
Conclusion
The closed_right property returns True when an interval is closed on the right side, meaning it includes the right endpoint. This is useful for determining interval boundaries and membership testing.
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