query: bounding the sum of squares of lengths of a quadrilateral inscribed in a unit square
positive_passages.docid: 26212
positive_passages.text: The $1997$ IIT JEE problem
negative_passages.docid: 105781
negative_passages.text: Least squares problem with constraint on the unit sphere
negative_passages.docid: 50615
negative_passages.text: Expressing a Non Negative Integer as Sums of Two Squares
negative_passages.docid: 83119
negative_passages.text: Compass-and-straightedge construction of the square root of a given line?
negative_passages.docid: 64827
negative_passages.text: maximum area of a rectangle inscribed in a semi - circle with radius r.
negative_passages.docid: 129161
negative_passages.text: The minimum perimeter and maximum height of a triangle under constraints
negative_passages.docid: 132085
negative_passages.text: Minkowski sum and product of 2D-regions
negative_passages.docid: 136644
negative_passages.text: Cyclic Quadrilateral Problems
negative_passages.docid: 10772
negative_passages.text: Equilateral triangle inscribed in a ellipse
negative_passages.docid: 11875
negative_passages.text: how to calculate the bounding square of an ellipse?
negative_passages.docid: 111443
negative_passages.text: Optimization of $2x+3y+z$ under the constraint $x^2+ y^2+ z^2= 1$
negative_passages.docid: 137232
negative_passages.text: Bounds for the Harmonic k-th partial sum.
negative_passages.docid: 129755
negative_passages.text: Weighted sum of squares, in a finite field
negative_passages.docid: 91871
negative_passages.text: Proving quadratic inequalities?
negative_passages.docid: 140433
negative_passages.text: The number of ways of writing an integer as a sum of two squares
negative_passages.docid: 35867
negative_passages.text: Squaring sides of an inequality
negative_passages.docid: 18932
negative_passages.text: Squares in arithmetic progression