Sigma Interpretation: f(x)=X^2, j=1, n=4

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The function f(x) = sigma of X^2 from j=1 to n implies that f(x) calculates the sum of x squared for each integer from 1 to n. For n=4, this means f(3) would equal 4 times 3 squared, resulting in a value of 36. The discussion clarifies that the function can be simplified to f(x) = n * x^2, as the summation does not affect the x term. This interpretation is crucial for implementing the function in MATLAB. Understanding this simplification is essential for accurate calculations in the context of the DeJong Equation.
neotriz
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I just need a quick clarification on how to read this function

f(x) = sigma of X^2, starting at j=1, and n

so does that mean that f(3) would equal to 36, if n=4?
 
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I forgot to mention that this is a DeJong Equation, and I need to implement in the matlab
 
Are you sure this is the function:

f(x)=\sum^{n}_{j=1}x^{2}

The term is independing of the sum, so the function is just:

f(x)=nx^{2}
 
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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