id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-1747	Santosh Ghimire	A Law of the Iterated Logarithm for the Signum Function	2024	12	.pdf	application/pdf	3663	168	79	Then for all 𝛼 > 0 and for a fixed number 𝑛, we have |{𝑡 ∈ 𝐼: sup m≥n |∑ 𝑏𝑖𝑢𝑖(𝑡) ∞ 𝑖=𝑚+1 | > 𝛼 }| ≤ 12 exp( −𝛼2 2 ∑ 𝑏𝑖 2 ∞ 𝑖=𝑛+1 ). Thus we have |{𝑡 ∈ 𝐼: sup m≥n |∑ 𝑏𝑖𝑢𝑖(𝑡) ∞ 𝑖=𝑚+1 | > 𝛼 }| ≤ 12 exp( −𝛼2 2 ∑ 𝑏𝑖 2 ∞ 𝑖=𝑛+1 ).	cache/cana-1747.pdf	txt/cana-1747.txt