39b7d333-5401-4724-b6a3-5edbef0d1aea 4 6 12 decimal

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

Непрерывный трансформатор Чебышева

Chebyshev's approximate straight

Initial data:

xO 141 - :

yO 0 :

xD 0 :

yD yO :

AC 100 :

CB AC :

OC AC :

OD 141 :

AD 25 :

AB AC 2 sqrt * :

x0 y0 r0 x1 y1 r1 PIntersect Coordinates\0020\of\0020\intersections\0020\of\0020\two\0020\circles x10 x1 x0 - : y10 y1 y0 - : d x10 2^y10 2^+ sqrt eval : a r0 2^r1 2^- d 2^+ 2 d * / eval : h r0 2^a 2^- sqrt eval : x2 x0 a d / x10 * + eval : y2 y0 a d / y10 * + eval : P3 x2 h d / y10 * + y2 h d / x10 * - x2 h d / y10 * - y2 h d / x10 * + 22 mat : 91 line :

Δθ π 36 / :

tStart 18 :

tEnd 90 :

boundaries of the variable t step tStart tEnd range :

Δθ π 36 / :

t path f4 Coordinates\0020\of\0020\point\0020\A xA xD AD Δθ t * cos * + eval : yA yD AD Δθ t * sin * + eval : Coordinates\0020\of\0020\point\0020\C pC xA yA AC xO yO OC PIntersect : xC pC 11 el : yC pC 12 el : Coordinates\0020\of\0020\point B pB xA yA AB xC yC CB PIntersect : xB pB 11 el : yB pB 12 el : xO yO xC yC xB yB xC yC xA yA xD yD 62 mat xA yA . 15 xC yC . 15 xO yO + 20 xD yD o 13 xO yO o 13 xD yD + 20 65 mat t tStart ≡ path xB yB . 8 red 15 mat : path path xB yB . 8 red 15 mat stack : if 31 sys 121 line :

t path f4

XY 001 2.6 3 23.16 4 27.57 5 24.26 6 16.63 8 30.41 11 47.2 12 50.03 13 60.33 14 59.89 16 71.18 17 84.27 19 77.69 142 mat :

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

X XY 1 col : Y XY 2 col : 12 mat data XY + 5 black plot : 21 sys

x1 X 14 range 11 range el : x2 X 59 range 11 range el : x3 X 1014 range 11 range el : 31 sys

y1 Y 14 range 11 range el : y2 Y 59 range 11 range el : y3 Y 1014 range 11 range el : 31 sys

• medfit(vx, vy) Returns a vector containing the coefficients a and b for a line of the form a + b·x that best approximates the data in vectors vx and vy using median-median regression. The median-median algorithm divides data sets into 3 smaller sets of approximately the same size. Each set is then represented by a single point determined by the medians of the x and y data in the set. A line is then fit to these 3 points. The intercept is chosen so that the line passes through the point which is the average of the medians among the three groups:

S y1 Median y2 Median y3 Median 31 mat Mean y1 Median y2 Median y3 Median 31 mat Median - 2 / : 3.873

I x1 Median x2 Median x3 Median 31 mat Mean : 8.667

a X Y Intercept : b X Y Slope : 21 mat 1.587 4.287 21 mat

I S x * + a b x * + data 3 1 sys