# Tagged Questions

For questions that involve concrete approximations, such as finding an approximate value of a number with some precision. For questions that belong to the mathematical area of Approximation Theory, use (approximation-theory).

50 views

### Obtaining exact decimals in bisection method

While studying the bisection for the approximation of roots of non-linear equations I was given the following bound for the error: $|x_n-s| \leq \frac{(b-a)}{2^{n+1}}$ where $x_n$ is the n-th ...
46 views

29 views

### Unbounded approximation algorithm for minimum vertex cover

Suppose we find the minimum vertex cover of a graph by repeatedly choosing the vertex with the highest degree and delete all edges incident on that vertex, until there are no edges left. How can one ...
71 views

23 views

### Reverse economization of Chebyshev series

Suppose I have some function which is represented as converging series of Chebyshev polynomials of first kind in $[-1;1]$: $$f(x)=\sum\limits_{n=1}^\infty a_n T_{2n}(x)$$ I need to transform this ...
34 views

40 views

### Mixing Fuzzy Logic and Probabilistic interpretation of a dataset

A probabilistic data cloud is a set $M$ of data points $\{m_i\}_i$, where each data point $m_i$ is associated to an event $E_i$ expressing the set of the occurrences of $m_i$ in any possible non-...
64 views

196 views

### Sum Calculation: $\sum_{n=1}^\infty \left(1- \frac{\cosh^{-1} n}{\log 2x}\right)$
I was investigating the asymptotic properties of the $\cosh$ functions and how they all strongly relate to $e^x$ In my studying, I found out that $\cosh x\sim \frac{e^x}{2}$ By that definition, that ...