<p> SIG </p>

00a2bf3e-b4cd-41c7-ba88-febbb5cab745 5 6 9 decimal

&[DATE] &[TIME] - &[FILENAME]

ε 108 -^: ε.f ε : ε.x ε : 31 line

x f α β N SI p α β + 2 / : δ β α - 2 N * / : x F x f sign : p p δ α F * p 2 j * N - (δ * + F j 1 N 1 - sum * + eval : k 0 : k 100 < r p : p x u x f z f' z f (z diff : x f' 21 line / : r r u r r u - f r f - 2 r r u - f * r f - / * - eval 21 line : p f abs ε.f < (p r - abs ε.x < (| break k k 1 + : if 31 line while p eval 71 line :

x f x sin :

R x f 0.3 π * 3 π * 1000 SI : 6.2832

returns zeros (1st output) and  maximum/minimum points (2nd output) in a range x f a b No SIG ε 107 -^: h b a - No / eval : x f.ε ε x f (2^* x ε x f * + f x f - ε 3^+ / : x F.ε x f.ε sign : x invf.ε x ε x f * + f x f - ε x f (2^* / : j m n 0 : (: (: p q 01 matrix : (: a f 0 ≡ m m 1 + : p m el a : 21 line 0 if 41 line j No < j j 1 + : α a j 1 - (h * + : β a j h * + : β F.ε α F.ε - 2 ≡ (β f.ε α f.ε - 2 h * < (& m m 1 + : p m el x f.ε α β 10 SI : 21 line 0 if β F.ε α F.ε - abs 2 ≡ (β f.ε α f.ε - abs 2 h * > (& n n 1 + : q n el x invf.ε α β 10 SI : 21 line 0 if 51 line while p q 21 mat 71 line :

R 1 f plotPts m 05 matrix : i 1 R rows range m m R i el R i el f . 14 red 15 mat stack : for m eval 31 line :

RADAR antenna is represented α => 1 x f n 2^n 2 n k - (k x * sin k x * / * (k α n sum * + / 11 line :

n 10 :

α 2 :

SIG does not succeeds. It may not be compatible with the Σ. In that case, a discrete version might do.

Extrema x f 10 - 1041 SIG :

x f Extrema 2 el X f plotPts 2 1 sys x f