id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
american_scientific_journal-1665	Qasem, Fahmi Yaseen Abdo; Hanballa, Amani Mohammed Abdulla	On Study K ^ h Generalized Birecurrent Affinely Connected Space	2016	14	.pdf	application/pdf	5112	223	78	65-) Volume 20, No 1, pp 522016( )Research Journal for Engineering, Technology, and Sciences (ASRJETS ScientificAmerican 59 Contracting the indices 𝑖𝑖 and 𝑗𝑗 in (2.5) and using (1.16), we get (2.11) (𝐻𝐻ℎ𝑗𝑗 − 𝐻𝐻𝑗𝑗ℎ)|ℓ|𝑚𝑚 + �𝐻𝐻𝑗𝑗ℎ𝑟𝑟 ��̇�𝜕𝑖𝑖𝛤𝛤 𝑟𝑟𝑙𝑙 ∗𝑖𝑖� − 𝐻𝐻𝑟𝑟ℎ 𝑖𝑖 ��̇�𝜕𝑖𝑖𝛤𝛤 𝑗𝑗𝑙𝑙 ∗𝑟𝑟� − 𝐻𝐻𝑗𝑗𝑟𝑟 𝑖𝑖 ��̇�𝜕𝑖𝑖𝛤𝛤 ℎ𝑙𝑙 ∗𝑟𝑟� − 𝐻𝐻𝑟𝑟𝑗𝑗ℎ 𝑖𝑖 𝑃𝑃𝑖𝑖ℓ𝑟𝑟 �|𝑚𝑚 + 𝐻𝐻𝑗𝑗ℎ|ℓ 𝑟𝑟 ��̇�𝜕𝑖𝑖𝛤𝛤 𝑟𝑟𝑚𝑚 ∗𝑖𝑖 � − 𝐻𝐻𝑟𝑟ℎ|ℓ 𝑖𝑖 ��̇�𝜕𝑖𝑖𝛤𝛤 𝑗𝑗𝑚𝑚 ∗𝑟𝑟 𝐻𝐻𝑗𝑗𝑠𝑠 𝑖𝑖 ��̇�𝜕𝑟𝑟𝛤𝛤 ℎℓ ∗𝑠𝑠�𝑃𝑃𝑖𝑖𝑚𝑚𝑟𝑟 + 𝐻𝐻𝑠𝑠𝑗𝑗ℎ 𝑖𝑖 𝑃𝑃𝑟𝑟ℓ𝑠𝑠 𝑃𝑃𝑖𝑖𝑚𝑚𝑟𝑟 = 𝜆𝜆ℓ ( 𝐻𝐻ℎ𝑗𝑗 − 𝐻𝐻𝑗𝑗ℎ )|𝑚𝑚 + 𝑏𝑏ℓ𝑚𝑚 (𝐻𝐻ℎ𝑗𝑗 − 𝐻𝐻𝑗𝑗ℎ) + ��̇�𝜕𝑖𝑖𝜆𝜆ℓ�𝐻𝐻𝑗𝑗ℎ|𝑚𝑚 𝑖𝑖 + 𝜆𝜆ℓ𝐻𝐻𝑗𝑗ℎ𝑟𝑟 ��̇�𝜕𝑖𝑖𝛤𝛤 𝑟𝑟𝑚𝑚 ∗𝑖𝑖 � − 𝜆𝜆ℓ𝐻𝐻𝑟𝑟ℎ 𝑖𝑖 ��̇�𝜕𝑖𝑖𝛤𝛤 𝑗𝑗𝑚𝑚 ∗𝑟𝑟 � −𝜆𝜆ℓ𝐻𝐻𝑗𝑗𝑟𝑟 𝑖𝑖 ��̇�𝜕𝑖𝑖𝛤𝛤 ℎ𝑚𝑚 ∗𝑟𝑟 � − 𝜆𝜆ℓ𝐻𝐻𝑟𝑟𝑗𝑗ℎ 𝑖𝑖 𝑃𝑃𝑖𝑖𝑚𝑚𝑟𝑟 + ��̇�𝜕𝑖𝑖𝑏𝑏ℓ𝑚𝑚 �𝐻𝐻𝑗𝑗ℎ 𝑖𝑖 .	cache/american_scientific_journal-1665.pdf	txt/american_scientific_journal-1665.txt