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107
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Bounds on the root of $x^{d+1} - x^d - 1$

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#polynomials #roots #upper-lower-bounds #newton-raphson
99
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Show boundedness of $\lim\limits_{n \to \infty}(1+\frac{x}{n})^n$

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#real-analysis #sequences-and-series #proof-explanation #solution-verification #upper-lower-bounds
124
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how to prove that a set is not bounded above?

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#infinity #upper-lower-bounds
113
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Upper bound on the genus produced by Seifert's algorithm

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#general-topology #upper-lower-bounds #knot-theory
37
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Does this technique have a name?

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#asymptotics #analytic-number-theory #upper-lower-bounds
606
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How to show this function is unbounded below?

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#linear-algebra #convex-optimization #upper-lower-bounds
192
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Upper bound for conditional expectation of spectral norm

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#probability-theory #conditional-expectation #upper-lower-bounds #spectral-norm
119
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Lower bound $\max\{n\geq 1|\sum_{i=1}^n X_i\leq T\}$

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#probability #sequences-and-series #probability-theory #stopping-times #upper-lower-bounds
30
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Limit of a system of nonhomogeneous ODEs

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#ordinary-differential-equations #limits #upper-lower-bounds #homogeneous-equation
54
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Matrix differential equation with inequality, $ y'(t) \leq A y(t) $

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#linear-algebra #matrices #ordinary-differential-equations #inequality #upper-lower-bounds
415
Views

Cauchy's functional equation with bounds: $ a \le f ( x ) + f ( y ) - f ( x + y ) \le b $

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#functional-equations #upper-lower-bounds #functional-inequalities
142
Views

Proving Assymptotic tight bound on $\lg(n!)$ is equivalent to $n\lg(n)$ without using Stirling's Approximation.

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#asymptotics #computational-complexity #computational-mathematics #upper-lower-bounds #stirling-numbers
30
Views

Asymptotic analysis of function $e^{-x^2/y}$

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#asymptotics #upper-lower-bounds
59
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Minimum value of $2(1-t^2)(1-\Phi(\sqrt{n} t)) + t^2$ for $t \in [0, 1]$ and large $n \ge 3$

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#real-analysis #inequality #normal-distribution #upper-lower-bounds #gaussian-integral
45
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Almost upper bounds for set $\{x:0\le x\le \sqrt{2}\text{ and }x\text{ is rational}\}$

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#real-analysis #calculus #solution-verification #upper-lower-bounds

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