[VA] SRC #012d - Then and Now: Area

[J-F Garnier]

(01-12-2023 12:00 AM)Fernando del Rey Wrote:  If you make the grid accurate enough, say 500x500, you can see a small area at the upper left side of the rectangle where criteria (1) is met, and then a much larger area in the middle to lower half of the rectangle.

(01-12-2023 07:31 AM)Werner Wrote:  Incidentally (and accidentally) I also found a tiny region -4.0851.. <= y <= -4.0492.. where the original inequality will hold (eg. y=-4.05 and x=0.004).

Congratulations, Fernando and Werner, I missed it!
This was the "nice surprise" Valentin alluded to.
I vaguely suspected something like that, but I missed it although it would have been easy for me to see it by scanning the RHS from -sqr(m) to sqr(m):

>FOR Y=-5.5 to 5.5 STEP 0.5 @ FIX 1 @ DISP Y; @ STD @ DISP FNR(Y) @ NEXT Y
-5.5 1.49982769946
-5.0 1.21469841054
-4.5 1.04966788525
-4.0 1.00125597171 so close to 1 !!!
-3.5 1.11151914811
-3.0 1.45086446604
-2.5 2.02718534492
-2.0 2.61560067448
-1.5 2.78630642506
-1.0 2.35303256133
-0.5 1.62346023059
0.0 1
0.5 .627452895252
1.0 .464331687261
1.5 .443627546686
2.0 .535830072581
2.5 .757499135913
3.0 1.16768672176
3.5 1.8275622105
4.0 2.66354177734
4.5 3.3313121353
5.0 3.44028193128
5.5 3.03092654911

I will correct my calculation, but it's too late, I failed the test :-(

J-F