id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4941	Abdelalim, Seddik; Elmouki, Ilias	Crystal Reduced Motif via the Vectors Exchange Theorem I: Impact of Swapping on two Orthogonalization Processes and the AE Algorithm	2023	31	.pdf	application/pdf	11382	538	73	i , e ∗∗(k) j ⟩ = 0 for 1 ≤ i ≤ k k ⟩ = ⟨e∗∗k , e∗∗k ⟩ and also, ⟨e∗∗(k−1) j , e∗∗k ⟩ = ⟨e∗∗(k−1) j , e∗∗i ⟩ = ⟨e∗∗(k−1) j , e ∗∗(k−1)	cache/ejpam-4941.pdf	txt/ejpam-4941.txt