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Moments of Rademacher Sum

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#probability #probability-theory #upper-lower-bounds #rademacher-distribution
57
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Bounds on real numbers

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#analysis #real-numbers #upper-lower-bounds #machine-precision
53
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Is $x(1 - 2x) \le \frac{1}{8}$ and further, is $x(1 - ax) \le \frac{1}{4a}$

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#proof-verification #inequality #upper-lower-bounds
1.5k
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Suppose a set $A$ is non-empty and bounded above. Given $\epsilon>0$, prove that there is an $a ∈ A$ such that $\sup{A}-\epsilon<a\leq\sup{A}$

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#sequences-and-series #proof-writing #upper-lower-bounds
282
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Bounding the difference of rank-1 matrices

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#linear-algebra #eigenvalues-eigenvectors #matrix-rank #upper-lower-bounds
149
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Proofing that lower bound of two measures exists

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#measure-theory #lebesgue-measure #upper-lower-bounds #radon-nikodym
249
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upper and lower limits for finding just one (real) solution of an algebraic equation (degree 5 and lower)

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#polynomials #numerical-methods #roots #upper-lower-bounds #algebraic-equations
28
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Tight Bounds on Moments of $X = a_1x_1 + \cdots + a_nx_n$

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#probability #probability-theory #moment-generating-functions #upper-lower-bounds
87
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Sequence of bounded sequences converge uniformly to bounded function

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#real-analysis #sequences-and-series #proof-verification #uniform-convergence #upper-lower-bounds
72
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Bounding using Kantorovich inequality

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#numerical-methods #nonlinear-optimization #upper-lower-bounds
36
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Is integrability a sufficient condition for boundness?

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#integration #ordinary-differential-equations #lipschitz-functions #upper-lower-bounds
52
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An "if and only if" proof regarding upper bounds

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#proof-verification #proof-writing #upper-lower-bounds
1k
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Proving Upper Bound on Negative Exponential

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#taylor-expansion #exponential-function #upper-lower-bounds
125
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Lower bound for sum of Hecke eigenvalues

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#number-theory #eigenvalues-eigenvectors #estimation #modular-forms #upper-lower-bounds
33
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Let $A$ be a set and $s$ its supremum. Given an $\epsilon>0$, can I assure that I can find and $a\in A$ that meets: $s-\epsilon<a<s$?

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#real-analysis #upper-lower-bounds

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