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Maximum of $xy + 2 yz$ subject to $x^2 + y^2 + z^2 = 36$

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#calculus #trigonometry #optimization #solution-verification #quadrics
77
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Intersection of two quadrics using matrix form

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#linear-algebra #algebraic-geometry #quadrics
177
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Maximize $xy + 2 yz + 6 x $ subject to $x^2 + y^2 + z^2 = 36 $

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#calculus #algebra-precalculus #optimization #maxima-minima #quadrics
118
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Shadow of a circle

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#linear-algebra #geometry #conic-sections #quadrics
101
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Why is a degenerate quadric well defined?

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#linear-algebra #algebraic-geometry #projective-geometry #quadrics
105
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Placing an ellipsoid in a rectangular box

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#linear-algebra #geometry #quadrics
48
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Conformal mapping from quadrics to the plane

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#coordinate-systems #projection #conformal-geometry #quadrics
89
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The closest points on a line and an ellipsoid

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#linear-algebra #geometry #optimization #analytic-geometry #quadrics
113
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Closest point on the surface of an ellipsoid to a given point

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#linear-algebra #geometry #optimization #analytic-geometry #quadrics
48
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System of $ n $ simultaneously diagonal real quadrics in $ n+1 $ variables has all solutions real

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#quadratic-forms #intersection-theory #real-algebraic-geometry #quadrics
221
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Plane through feet of normals to ellipsoid

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#geometry #conic-sections #3d #quadrics #ellipsoids
54
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Proving a system of quadratic forms has no (non-zero) solutions

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#quadratic-forms #intersection-theory #real-algebraic-geometry #quadrics
28
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Cutting an elliptical cone

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#linear-algebra #geometry #solution-verification #quadrics
30
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Closed form expression for shadow area of an ellipsoid subject to uniform direction light

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#linear-algebra #geometry #area #quadrics
31
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Closed form expression for the area of the shadow of an ellipsoid subject to light rays from a point light source

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#linear-algebra #geometry #quadrics

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