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Finding range of expression $f(x,y)=x^2+y^2$

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#algebra-precalculus #inequality #proof-writing #quadratics #discriminant
111
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$4ac-b^2\leq 3a(a+b+c)$ in quadratic

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#inequality #contest-math #roots #quadratics #discriminant
51
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Finding the value of k that satisfies the discrimant

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#discriminant
36
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Primes representable by equivalent binary forms

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#number-theory #quadratic-forms #discriminant
112
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Determining the nature of quadratic equation

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#algebra-precalculus #quadratics #discriminant
132
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Discriminant Integral closure of ring

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#algebraic-number-theory #discriminant
326
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What happens to the group structure of an elliptic curve over a field when the discriminant = 0?

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#group-theory #elliptic-curves #discriminant
64
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Factorisation of fundamental discriminants

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#abstract-algebra #discriminant
18.6k
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Discriminant when graph lies above or below the x axis.

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#quadratics #discriminant
33
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Show $\Delta(\theta)\mathbb{Z} = \Delta(R/\mathbb{Z}) \implies R = \mathbb{Z}[\theta]$.

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#proof-verification #algebraic-number-theory #discriminant
878
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Find maximum value of $\frac xy$

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#algebra-precalculus #optimization #maxima-minima #discriminant
40
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Inequality with square roots where solution found with discriminant is not valid

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#algebra-precalculus #inequality #radicals #discriminant
87
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Level Lowering obstructions

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#number-theory #algebraic-geometry #diophantine-equations #elliptic-curves #discriminant
44
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How can the following non-convex problem be converted to a convex one?

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#optimization #convex-analysis #maxima-minima #discriminant
1k
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Exponent of a ramified prime in discriminant

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#number-theory #algebraic-number-theory #discriminant

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