Publication Certificate
		ISSN No : 2347-5420
Industrial Science International Recognition Research Journal
This is to certify that our Editorial, Advisory, and Review Board Accepted Research Paper of Dr. /Shri. /Smt. K. KUMAR NAIK
Topic : RANDOM APPROACH THINNING ON SUM AND DIFFERENCE PATTERNS OF LINEAR ARRAYS
The Research paper is Original & Innovative it is Done Double Blind Peer Reviewed. Your Article is Published.
	Editor-in-Chief
	(Dr) Nitin P. Sonaje Dy. Registrar, Shivaji University, Kolhapur
	258/34, Raviwar Peth Solapur-413005 Maharashtra, India Ph. No. : +91-0217-2372010, +91-9595359435 Email : ayisrj@yahoo.in, ayisrj2011@gmail.com Website : oldindsci.lbp.world/default.aspx