Understanding Point Functions in Mathematics

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A point function is defined as any function whose values are points in a given space. For example, a point function from real numbers (R) represents a curve, while one from R2 represents a surface. An important example is the function that maps non-negative real numbers to points on the unit circle, moving counterclockwise for positive values and clockwise for negative values. Understanding point functions is crucial in various mathematical contexts, particularly in geometry and calculus. This concept illustrates how functions can describe geometric shapes and their properties.
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what is a point function
 
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Welcome to PF!

Hi abhishek.93! Welcome to PF! :smile:

From http://en.wiktionary.org/wiki/point_function, a point function is …
Any function whose values are points

So a point function from the real numbers (R) is a curve, a point function from R2 is a surface, and so on. :wink:
 
I wanted to find out what a "ponit" function was!

An important example of a "point function" is the function that assigns, to every non-negative real number t, the point on the unit circle on a Cartesian coordinate system at distance t around the circumference of the circle, counterclockwise or if t< 0, the clockwise.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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