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Maximum of $ F(f)=\int_0^1 |f(x)|^2\; dx-\left(\int_0^1 f(x)\; dx\right)^2 $ over a subset of continuous functions on $[0,1]$
real-analysis
analysis
optimization
maxima-minima
nonlinear-analysis
Find the maximum and minimum radii vectors of section of the surface $(x^2+y^2+z^2)^2=a^2x^2+b^2y^2+c^2z^2$ by the plane $lx+my+nz=0$
lagrange-multiplier
maxima-minima
Density of set of zeroes
general-topology
roots
maxima-minima
What's the trick to finding the minimum/maximum values of problems like $f(x) = |x + 1| - |x - 2| + |2x + 1|$
maxima-minima
absolute-value
Minimum point of $x^2+y^2$ given that $x+y=10$
derivatives
maxima-minima
Proving $x+\sin x-2\ln{(1+x)}\geqslant0$
real-analysis
inequality
logarithms
maxima-minima
What are the minimum and maximum of $f(x) = x^6 - 5x^4 + 5x^2 - 1$?
calculus
derivatives
maxima-minima
Minimum value of $ f(x,y,z)=\left(x+\frac{1}{y}\right)^2+\left(y+\frac{1}{z}\right)^2+\left(z+\frac{1}{x}\right)^2. $ [duplicate]
inequality
optimization
maxima-minima
cauchy-schwarz-inequality
Extrema of a piecewise sinusoidal function
trigonometry
maxima-minima
Does $f$ have a critical point if $f(x, y) \to +\infty$ on all horizontal lines and $f(x, y) \to -\infty$ on all vertical lines?
real-analysis
calculus
multivariable-calculus
examples-counterexamples
maxima-minima
Linear programming with min of max function
optimization
linear-programming
maxima-minima
How find this maximum of the value $\sum_{i=1}^{6}x_{i}x_{i+1}x_{i+2}x_{i+3}$?
inequality
lagrange-multiplier
maxima-minima
buffalo-way
maximum area of a rectangle inscribed in a semi - circle with radius r.
calculus
derivatives
area
maxima-minima
Maximize a function involving binary entropy
optimization
numerical-methods
maxima-minima
information-theory
entropy
Maximum of $x^3+y^3+z^3$ with $x+y+z=3$
inequality
optimization
lagrange-multiplier
maxima-minima
karamata-inequality
How $b>a \lor a \leq 0 \implies \max(b,0)-\max(\min(a,b),0) \geq 0$?
logic
proof-writing
maxima-minima
Maximize function on orthogonal matrices
calculus
linear-algebra
optimization
maxima-minima
orthogonal-matrices
Prove that minimum of $\lambda \sin \theta + (1 - \lambda) \cos \theta \le -\frac1{\sqrt 2}$
algebra-precalculus
trigonometry
inequality
maxima-minima
Find the maximum and minimum values of this function.
calculus
maxima-minima
Optimising the given function
optimization
graphing-functions
coordinate-systems
maxima-minima
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