How can I use not a for but a while cycle?

#1 Posted: 2/9/2024 9:27:16 PM

Valery Ochkov

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See please the attached file.Newton.sm (23.6 KiB) downloaded 342 time(s).

#2 Posted: 2/9/2024 11:38:00 PM

⚜ Kenny Lemens, P.E. ᵂᴵ

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Greetings,

Instead of using for(3); you can use for(4):

for ▮, ▮, ▮
▮

The four parameter ｢for(4)｣ gives you the ability to loop while checking a condition. Below is the description of for( {0}, {1}, {2}, {3} )

"For loop. The function of controlled iterations. The cycle repeats {3}, while {0} satisfies the condition {1} and after each passage necessarily satisfied {2}. Repeating expressions can be set to any number of expressions."

example:

for i:=1, i<10, i:=i+2
k:=2*i

Where 'i' starts at 1 and until i is no longer less than 10, perform operation of k:=2*i. Apply operation i:=i+2 and check if less then 10...; LOOP!

May this be of Good Help;
⚜ Kenny Lemens, P.E. ᵂᴵ

"No matter where you go, there you are." -Buckaroo BanzaiHotkeys: https://en.smath.com/forum/resource.ashx?a=45771&b=2

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Valery Ochkov 2/10/2024 2:37:00 PM

#3 Posted: 2/10/2024 2:38:31 PM

Valery Ochkov

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Thanks
But see "???" in the attach
Newton-for-1-2-3-4.sm (26.47 KiB) downloaded 325 time(s).

#4 Posted: 2/10/2024 6:38:42 PM

StvMath

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Here's a "while" version

Newton-for-1-2-3-4_b.sm (18.98 KiB) downloaded 330 time(s).

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Valery Ochkov 2/10/2024 7:44:00 PM

#5 Posted: 2/11/2024 1:58:11 AM

Jean Giraud

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As well, while associates with Bolean Critical region

Solve [Dichotomy_Newton_Secant] Copy.sm (52.75 KiB) downloaded 306 time(s).

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Valery Ochkov 2/11/2024 2:13:00 AM

#6 Posted: 2/11/2024 2:53:28 AM

Valery Ochkov

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Roots vs Newton

#7 Posted: 2/11/2024 7:55:50 AM

Jean Giraud

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Wrote
oots vs Newton

No interest vs the codes

#8 Posted: 2/11/2024 1:41:06 PM

Valery Ochkov

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Wrote

Wrote
Roots vs Newton

No interest vs the codes

https://www.mdpi.com/2227-7390/10/19/3413

#9 Posted: 2/11/2024 9:59:12 PM

Jean Giraud

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roots solves Matrix.

Worksheet33.sm (6.96 KiB) downloaded 311 time(s).

#10 Posted: 2/13/2024 6:19:59 AM

Martin Kraska

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mNewton() from the Maxima plugin is another option. It also may fail for particular initial guess values.

mNewton.sm (16.22 KiB) downloaded 351 time(s).

Martin KraskaPre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx

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Alvaro Diaz Falconi 2/29/2024 12:13:00 PM

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