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Goodness of inequalities: Sharpness and tightness

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#inequality #upper-lower-bounds
53
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About compactness of simply ordered set with least upper bound property (Theorem 27.1 of Munkres)

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#general-topology #compactness #upper-lower-bounds #order-topology
54
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Can one bound the Taylor series remainder in terms of bound for the whole Taylor series?

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#real-analysis #functions #taylor-expansion #upper-lower-bounds
663
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Find supremum of an integral

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#real-analysis #inequality #definite-integrals #supremum-and-infimum #upper-lower-bounds
141
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what positive numbers $a,b,c,d $ makes $\frac{x^a y^b}{x^c + y^d}$ bounded in every neighbourhood of $(0,0)$

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#calculus #limits #multivariable-calculus #inequality #upper-lower-bounds
94
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Average contraction for random dynamical system

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#real-analysis #supremum-and-infimum #upper-lower-bounds
163
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tightest upper bound of a rational function

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#real-analysis #sequences-and-series #combinatorics #computational-complexity #upper-lower-bounds
74
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Tight bound for a sum of binomial coefficients

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#combinatorics #summation #binomial-coefficients #approximation #upper-lower-bounds
36
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Lower bound on Gaussian complexity for non-zero means

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#probability #expected-value #upper-lower-bounds #concentration-of-measure
181
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Show that the sum is between (1,2)

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#sequences-and-series #upper-lower-bounds #sums-of-squares
16
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Finding an upper bound for an expression involving exponential

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#exponential-function #upper-lower-bounds
41
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upper bound the number of 5-cycles in a random graph

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#combinatorics #upper-lower-bounds #random-graphs #probabilistic-method
24
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Binomial Coefficient Bounded by Polynomial Decay

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#real-analysis #binomial-coefficients #upper-lower-bounds
111
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If $\pi(x) = Li(x) + O(\ln^3(x) \sqrt x) $ is true, what does that say about the Riemann zeta zeros?

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#number-theory #prime-numbers #analytic-number-theory #riemann-zeta #upper-lower-bounds
17
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Is $|\pi(x) - Li(x)| < \frac{\sqrt{\ln(x) x}}{8 \pi}$ for $x>q$. for some fixed $q$ still potentially consistant with RH?

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#number-theory #prime-numbers #analytic-number-theory #riemann-zeta #upper-lower-bounds

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