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Using $\|V_1 V_1^\star - V_2 V_2^\star\|_\infty$ to bound $\|V_1 - V_2\|_\infty$

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#linear-algebra #operator-theory #upper-lower-bounds #matrix-norms #unitary-matrices
70
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Estimate of $\frac{\cosh^2(x)}{\sinh^2(x)}-\frac{\cosh^2(y)}{\sinh^2(y)}$ depending on $x$ and $y$

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#real-analysis #analysis #maxima-minima #upper-lower-bounds
527
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Upper bounds for $\frac{x_1}{1+x_1^2} + \frac{x_2}{1 + x_1^2 + x_2^2} + \cdots + \frac{x_n}{1 + x_1^2 + x_2^2 + \cdots + x_n^2}$

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#real-analysis #inequality #summation #upper-lower-bounds
193
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Is there a tighter error bound for this convergent version of Stirling's series?

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#sequences-and-series #gamma-function #upper-lower-bounds #approximation-theory
24
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Mathematical Formulation - No number less than Supremum M can be an upper bound

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#real-analysis #general-topology #supremum-and-infimum #upper-lower-bounds
455
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Completeness property of R

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#real-analysis #general-topology #real-numbers #supremum-and-infimum #upper-lower-bounds
41
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Notation for applying a function recursively.

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#notation #recurrence-relations #recursion #upper-lower-bounds
43
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Unbounded Integral

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#integration #limits #improper-integrals #upper-lower-bounds
102
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Upper bound of this fraction?

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#calculus #upper-lower-bounds
115
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On a curious equation regarding odd perfect numbers

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#number-theory #inequality #upper-lower-bounds #divisor-sum #perfect-numbers
113
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An upper bound of the form $A\cdot n\log n$ for the $n$th prime number

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#number-theory #inequality #prime-numbers #upper-lower-bounds
189
Views

Why does an odd perfect number seemingly "violate" basic inequality rules?

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#number-theory #inequality #upper-lower-bounds #divisor-sum #perfect-numbers
91
Views

Show the following upper bound without evaluating the integral.

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#complex-analysis #upper-lower-bounds #line-integrals
305
Views

Bounding sum of weighted exponential

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#probability #inequality #upper-lower-bounds
187
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Is $\limsup_{t} \frac{a_t}{ h(t+1) - h(t) }$ finite when $0 \leq \sum_{i=t}^\infty a_i \leq h(t) = t^{-\alpha}$?

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#real-analysis #sequences-and-series #upper-lower-bounds

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