Ever since last Novem ber, I have been wanting to ex press in person my gratit ude to the generas ity of Alfred Nobel, to w hom i ow e it t hat I am privileged be here today, es pecial y since ill ness prevented me from doi ng so at the proper time. the idealism w hic h permeated his char acter led him to make his magnifice nt foundation for the benefit of a cl ass of men with w hose aims and view poi nt his ow n scienti fic instincts and a bility had made him naturally his
The lowpass filter H(u) has a cutoff frequency wc=205T rad/ sec. Thus, c(t)is r(t) where all terms with frequency above we are removed by the lowpass filter. The terms which are kept have kwol 205T rad /sec k|< 10.25, so the output, ac(t),is r(t)= To obtain n, we sample c(t) every T=5 10-3 seconds with an impulse train The sampling frequency is 400T=2 x maximum frequency in c(t). Therefore
Lecture 2 Differential geometry of curves 2.1 Definition of curves 2.1.1 Plane curves Implicit curves f(, y)=0 Example:x2+y2=a2 It is difficult to trace implicit curves It is easy to check if a point lies on the curve Multi-valued and closed curves can be represented
