4bbb5750-5164-4283-9c19-d1ef025cf58e 17 Валерий Очков 4 5 false false 0 0 decimal

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

The hare runs from point 0 to point 3 in a short time

m 1 :

s 1 :

v 1 m s / * :

v.r 2 m s / * :

Δ 4 m * :

r 1 m * :

x.0 1 m * - :

y.0 Δ 2 / :

y.3 y.0 - :

T Δ v / : s 4

x.1 x.2 Time y.1 r 2^x.1 2^- sqrt : y.2 r 2^x.2 2^- sqrt - : x.0 x.1 - (2^y.0 y.1 - (2^+ sqrt v / x.1 x.2 - (2^y.1 y.2 - (2^+ sqrt v.r / + y.3 y.2 - abs v / + 31 line :

Plot x y Time 3.447 s * - x y Time 3.5 s * - x y Time 3.6 s * - x y Time 3.7 s * - x y Time 4 s * - x y Time 4.5 s * - x y Time 5 s * - 71 sys :

Plot

x.1 0.8 m * - :

x.2 0.3 m * - :

x.1 x.2 Time s 3.2765

x.1 x.2 21 mat x.1 x.2 Time x.1 diff x.1 x.2 Time x.2 diff 21 mat x.1 x.2 21 mat x.1 x.2 21 mat roots : m 0.5361 - 0.1831 - 21 mat

t.min x.1 x.2 Time (: s 3.1929

y.1 r 2^x.1 2^- sqrt : m 0.8441

y.2 r 2^x.2 2^- sqrt - : m 0.9831 -

x.0 m 1 -

t.min T < 1

Plot x 2^y 2^+ r 2^- t.min T < x.0 x.1 x.2 x.2 y.0 y.1 y.2 Δ 2 / - 24 mat transpose x.0 Δ 2 / x.0 Δ 2 / - 22 mat if 21 sys :

Plot

x D MinTwoStep M x transpose : L x length : f.min x F : j 1 : 13 mat D 0.00001 > p 1 : p 0 ≠ p 0 : i 1 L range Δx D - D 12 mat x i el x i el Δx + : f x F : 12 mat f f.min < p Δx : j i : f.min f : 13 mat if x i el x i el Δx - : 31 line for for x j el x j el p + : M M x transpose stack : 41 line while D D 2 / : 31 line while M 41 line :

Use stack

M 0.9 0.9 21 mat 0.1 MinTwoStep :

x F x 1 el x 2 el Time :

n M rows : 55

M cols 2

M 0.9 0.9 0.8 0.9 0.7 0.9 0.7 0.8 0.6 0.8 0.5 0.8 0.4 0.8 0.3 0.8 0.3 0.7 0.2 0.7 0.1 0.7 0.1 0.6 0 0.6 0.1 - 0.6 0.1 - 0.5 0.2 - 0.5 0.2 - 0.4 0.3 - 0.4 0.3 - 0.3 192 mat

Solution

M n 1 el 0.5361 -

M n 2 el 0.1831 -

M length 110

No need for M1

Solution

x.1 M n 1 el : 0.5361 -

x.2 M n 2 el : 0.1831 -

x.1 x.2 Time s 3.1928872

T 3.45 5 3.5 range s * : Plot 111 sys : i 1 T length range Plot i el x y Time T i el - : for Plot 41 line

M Plot M 2 1 sys x y Time 3.447 s * s * - x y Time 3.5 s * - x y Time 3.6 s * - x y Time 3.7 s * - x y Time 4 s * - x y Time 4.5 s * - x y Time 5 s * - 7 1 sys M 2 1 sys