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fixed point
In mathematical contexts, this term describes a specific stability where the input of a function equals its output. It is a technical term used primarily in topology and analysis, often associated with theorems that prove the existence of such points in specific spaces.
In surveying and navigation, the term refers to a physical marker or a known coordinate that remains constant. This provides a reliable anchor for measurements, ensuring that subsequent data points are accurate relative to a stable origin.
Meanings
Examples
The function has a unique fixed point where the input equals the output.
We need to establish a fixed point on the map before we start the survey.
I wonder if this iterative process will eventually converge to a fixed point.
The surveyor used the old oak tree as a fixed point for the boundary measurements.
Brouwer's theorem guarantees the existence of at least one fixed point in this mapping.
The telescope was aligned using a distant star as a fixed point in the sky.
Is there a stable fixed point for this dynamical system?
The navigation system requires a known fixed point to calibrate the GPS coordinates.