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#asifmehmoodap #mathemeticalstatistics #diffrentialgeometry Asif Mahmood Ap, Mathmatician, Diffrential Geometry, Lecture 11, Serret Frenet Formulas, Chapter no 5, Serret frenet Equations, In Matrix Form this lecture may help the proof of serret frenet formulas to proof in the matrix form this may help out to study of Diffrential geometry. and the lecture very important in deffrential geometry. So please Like and Subscribe My Youtube Channel and Pray of Success. Motivation Qutaion: A teacher affects eternity; he can never tell where his influence stops.” “Much education today is monumentally ineffective. Second Motivation Qoute : "To teach is to learn twice.” “Do not confine your children to your own learning, for they were born in another time.” this lecture may help to improve Your study by Diffrential geometry. lecture Aisf mehmood Ap to improve Your study . Please like and subscribe My Youtube Channel. My playlists and other channel are held below. 👇👇👇👇👇👇👇👇 Combinatrics • Combinatrics Real Analysis • Real Analysis Special function • Special Function Theory of optimization • Theory of optimization Difrential equation • Differential Equation 2 Complex Analysis • Complex Analysis 2 This lecture will help you in the following course FSc ICs I Com BSc BBA BS Computer BS Mathematics BS Chemistry BS Physics BS Zoology BS English BS Geography MSc M Com MBA PPSC PSC CSS IPS IS NTS PTS OTS Civil Engineering Electrical Engineering Mechanical Engineering Chemical Engineering Software Engineering Hardware Engineering ICMA CA M Phil MS Phd.