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### How many integers in {1,2 ..., 100} are divisible by 2, 3, 8 or 10 using inclusion exclusion principle

When I use brute force approach to answer this question it gives me exactly 67 ...
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1 vote
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### Why do Fibonacci sequences result from this process?

If we have two columns of numbers made by the following rule, we get two Fibonacci sequences. Is there a straightforward way that enables us to just 'see' why this would happen. If anyone can find ...
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### Inaccurate Eigenvectors from LAPACK's ZHEEVR routine

I was trying to replace Scipy's eigh routine in my cython code with C-level LAPACK. Essentially I want to compute eigenvectors corresponding to the largest and smallest eigenvalues of a hermitian ...
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• 21
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### Let $f,g\in C[0,1]$ and $U= \{h\in C[0,1]:f(t)<h(t)<g (t),\forall t\in [0, 1]\}$ in $X= (C[0,1], \| .\|_{\infty} ).$ Is $U$ a ball in $X?$
Let $f,g: [0,1]\to\Bbb R$ be continuous and $f(t) < g (t)$ for all $t\in [0,1].$ Consider the set $$U= \{h\in C[0,1] : f (t) < h(t) < g (t) ,\text{ for } t\in [0, 1]\}$$ in the space \$X= (C[0,...