Solve with 4 args - Is it a bug? - Сообщения
#1 Опубликовано: 15.07.2026 07:34:36
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#2 Опубликовано: 15.07.2026 11:14:15
Hi Valery. It seems that solve doesn't know how to order the interval.
The 6 solutions numerically
And symbolically
solve(4).sm
Best regards.
Alvaro.
The 6 solutions numerically
And symbolically
solve(4).sm
Best regards.
Alvaro.
#3 Опубликовано: 17.07.2026 07:17:36
Отредактировано 17.07.2026 07:28:06
#4 Опубликовано: 25.07.2026 05:40:05
Do you know the best solution in SMath?
#5 Опубликовано: 25.07.2026 15:50:39
Отредактировано 25.07.2026 17:52:57
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Valery Ochkov 25.07.2026 18:27:25
#6 Опубликовано: 25.07.2026 19:20:52
And what about this. We can create an animation.
Отредактировано 25.07.2026 19:47:21
#7 Опубликовано: 26.07.2026 02:28:14
It's possible, although speed isn't one of SMath's main features. And with so few points, there isn't much accuracy.
heart area.sm
Best regards.
Alvaro.
heart area.sm
Best regards.
Alvaro.
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Valery Ochkov 26.07.2026 13:14:28
#8 Опубликовано: 26.07.2026 13:40:28
I can write a function that returns a set of closed isolines. The area can be calculated from the points on the curve. To construct implicit graphs, a function is used that returns the coordinate sets of the found isolines.
Russia ☭ forever, Viacheslav N. Mezentsev
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#9 Опубликовано: 26.07.2026 14:36:05
I can write a function that returns a set of closed isolines. The area can be calculated from the points on the curve. To construct implicit graphs, a function is used that returns the coordinate sets of the found isolines.
Вячеслав, привет!
Брось все силы на создание инструментов оптимизации с ограничением типа Given... Minimize/Maximize в Mathcad 15. Этого очень не хватает в SMath.
И Андрей на это настроен.
#10 Опубликовано: 27.07.2026 01:25:09
Using Dragilev Method.
Area and Arc Length of an Implicit Planar Closed Curve - Dragilev Method.sm
Best regards.
Alvaro.
Area and Arc Length of an Implicit Planar Closed Curve - Dragilev Method.sm
Best regards.
Alvaro.
Отредактировано 27.07.2026 01:33:24
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#11 Опубликовано: 27.07.2026 13:27:20
Yes, something like this with the Gaussian area formula.
Russia ☭ forever, Viacheslav N. Mezentsev
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ioan92 28.07.2026 11:13:51
#12 Опубликовано: 28.07.2026 08:24:46
Yes, something like this with the Gaussian area formula.
Hi Viacheslav. In that case, I'd like to point out that dividing by the norme (Δ) means the curve is parameterized with respect to arc length, and that if you're going to improve the points using the original function, you must also do so with the parameter variable, which in the program's notation is T. This is because Dragilev's method ultimately obtains the parametric expressions x(t) and y(t) from the implicit function f(x,y) when starting from a point (xo,yo) on the curve.
This is one way to correct the arc length given by T if you choose to improve the curve points, although there must be better methods involving splines for curves in the plane, not just single-valued functions. There are also better approximations for the area enclosed by the curve; the one used here is simply the area defined by a closed polygon.
Area and Arc Length of an Implicit Planar Closed Curve - Dragilev Method.sm
Best regards.
Alvaro.
Отредактировано 28.07.2026 08:36:40
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Valery Ochkov 28.07.2026 16:17:18
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