Difference between revisions of "Scilab/C4/Interpolation/Khasi"
From Script | Spoken-Tutorial
(Created page with "{| Border=1 |'''Time''' |'''Narration''' |- | 00:01 |Paralok, ngi pdiangsngewbha ia phi sha ka Spoken Tutorial halor ka '''Numerical Interpolation'''. |- | 00:06 | Ha kaba kut...") |
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− | |Ban record ia kane ka jinghikai, nga pyndonkam | + | |Ban record ia kane ka jinghikai, nga pyndonkam |
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|00:24 | |00:24 | ||
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| 02:57 | | 02:57 | ||
− | |Phai sha ka ''Scilab console''' | + | |Phai sha ka ''Scilab console''' bad solve ia ka problem ba la ai nuksa. |
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| 03:02 | | 03:02 | ||
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| 07:46 | | 07:46 | ||
− | |Solve ia kane ka problem | + | |Solve ia kane ka problem da kaba pyndonkam ia ka '''Lagrange method and Newton's Divided Difference method.''' |
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|07:54 | |07:54 |
Latest revision as of 21:17, 26 September 2017
Time | Narration |
00:01 | Paralok, ngi pdiangsngewbha ia phi sha ka Spoken Tutorial halor ka Numerical Interpolation. |
00:06 | Ha kaba kut jong kane ka jinghikai, phi sa nang kumno ban: |
00:10 | Develop ia ka Scilab code na ka bynta bun jait ki Numerical Interpolation algorithms |
00:16 | Khein ia u value bathymmai jong ka function na ki data points ba la ai. |
00:21 | Ban record ia kane ka jinghikai, nga pyndonkam |
00:24 | Ubuntu 12.04 kum ka operating system |
00:27 | Bad ka Scilab 5.3.3 version. |
00:31 | Ban pyrshang ia kane ka jinghikai, u ne ka nongpule kidei ban don |
00:34 | Ia ki jingtip shaphang jong ka Scilab |
00:36 | Bad dei ban tip ia ka Numerical Interpolation. |
00:40 | Ban pule ia ka Scilab , sngewbha leit sha ki jinghikai ba iadei kiba don ha ka Spoken Tutorial website. |
00:47 | Numerical interpolation kadei ka rukom jong ka |
00:51 | Jingshna ia ki data points bathymmai. |
00:53 | Hapdeng ki range jong ka discrete set jong ki data points ba la tip. |
00:59 | Ngi lah ban solve ia ki jingkhein jong ka interpolation da kaba pyndonkam ia ki numerical methods. |
01:05 | Ha Lagrange interpolation, |
01:07 | Ngi pass ia u polynomial jong ka degree N – 1 lyngba ki N points. |
01:12 | Nangta, ngi wad ia u N order polynomial y of x' bapher uba interpolates ia ki data samples. |
01:22 | Ngi ai ia ki natural logarithm values na ka bynta khyndai, khyndai point san bad khatwei. |
01:29 | Ngi hap ban wad ia u value jong ka natural logarithm jong khyndai point ar. |
01:35 | To ngin solve ia kane ka jingkhein da kaba pyndonkam ia ka Lagrange interpolation method. |
01:41 | To ngin peit ia u code na ka bynta ka Lagrange interpolation. |
01:46 | Ngi define ia ka function Lagrange ryngkat arguments x zero, x, f and n. |
01:53 | X zero udei u interpolation point u bym pat don ba ithuh. |
01:57 | x udei u vector uba kynthup ia ki data points. |
02:01 | f udei uvector uba kynthup ia ki values jong ka function ha ki data points. ba iadei |
02:08 | Bad n udei uorder jong ka interpolating polynomial. |
02:14 | Ngi pyndonkam n ban initialize m bad vector N. |
02:19 | Ka order jong ka interpolating polynomial' ka batai ia u number jong ki nodes ba la shna. |
02:25 | Nangta, ngi pyntreikam ia ka Lagrange interpolation formula |
02:29 | Ban wad ia u value jong u numerator bad denominator. |
02:35 | Nangta ngi divide ia u numerator bad denominator ban ioh ia u value jong u L. |
02:41 | Ngi pyndonkam ia u L' ban wad ia u value jong ka function y ha ka data point ba la ai. |
02:48 | Khatduh eh ngi pyni ia u value jong u L bad f of x f(x). |
02:53 | To ngin Save and execute ia ka file. |
02:57 | Phai sha ka Scilab console' bad solve ia ka problem ba la ai nuksa. |
03:02 | To ngin ia define ia u data points vector. |
03:05 | Ha ka console, type: |
03:07 | x equal to open square bracket nine point zero comma nine point five comma eleven point zero close square bracket. |
03:18 | Nion Enter. |
03:21 | Nangta type: f equal to open square bracket two point one nine seven two comma two point two five one three comma two point three nine seven nine close square bracket |
03:39 | Nion Enter . |
03:41 | Nangta type x zero equal to nine point two |
03:46 | Nion Enter. |
03:48 | To ngin pyndonkam ia ka quadratic polynomial interpolating polynomial. |
03:53 | Type n equal to two. |
03:58 | Nion Enter. |
04:00 | Ban call ia ka function, type: |
04:02 | y equal to Lagrange open parenthesis x zero comma x comma f comma n close parenthesis |
04:14 | Nion Enter. |
04:16 | U value jong ka function y at x equal to nine point two la pyni. |
04:22 | To ngin ia peit ia ka Newton's Divided Difference Method. |
04:26 | Ha kane ka rukom, Divided Differences recursive method la pyndonkam. |
04:32 | U pyndonkam khyndiat ki number jong ki computationban ia ka Lagrange method. |
04:38 | Hapdeng jong kane, kajuh ka interpolating polynomial, kum ha ka Lagrange method, ,la pynmih. |
04:47 | To ngin solve ia kane ka nuksa da kaba pyndonkam ia ka Divided Difference method. |
04:52 | Ngi ai ia ki data points bad |
04:54 | Ki values ba iadei jong ka function ha kito ki data points. |
05:00 | Ngi hap ban wad ia u value jong ka function ha x equal to three. |
05:05 | To ngin peit ia u code na ka bynta ka Newton Divided Difference method. |
05:11 | Plie ia ka file Newton underscore Divided dot sci ha ka Scilab Editor. |
05:18 | Ngi define ia ka function Newton underscore Divided ryngkat ki arguments x, f bad x zero. |
05:29 | x udei u vector uba kynthup ia ki data points, |
05:33 | f udei u function value ba iadei bad |
05:36 | x zero udei u interpolation point u bym pat don ba ithuh. |
05:41 | Ngi wad ia ka length jong u vector bad nangta ngi equate ia u sha n. |
05:46 | U value banyngkong jong u vector la equate sha a of one a(1). |
05:51 | Nangta ngi pyntreikam ia ka divided difference algorithm bad khein ia ka divided difference table. |
05:57 | Nangta ngi wad ia ka coefficient list jong ka Newton polynomial. |
06:03 | Ngi sum ia ka coefficient list ban wad ia u value jong ka function ha ka data point ba la ai. |
06:10 | Save and execute ia ka file Newton underscore Divided dot sci. |
06:16 | Phai sha ka Scilab console. |
06:19 | Clear ia ka screen da kaba type c l c. |
06:22 | Nion Enter. |
06:24 | To ngin pyndap ia ki data points vector. |
06:27 | Type: x equal to open square bracket two comma two point five comma three point two five comma four close square bracket |
06:39 | Nion Enter. |
06:41 | Nangta type ia ki values jong ka function' |
06:44 | f equal to open square bracket zero point five comma zero point four comma zero point three zero seven seven comma zero point two five close square bracket |
07:01 | Nion Enter. |
07:03 | Type x zero equal to three |
07:06 | Nion Enter. |
07:08 | Nangta call ia ka function da kaba type |
07:11 | I P equal to Newton underscore Divided open parenthesis x comma f comma x zero close parenthesis |
07:23 | Nion Enter. |
07:25 | U value jong u y at x equal to three la pyni. |
07:30 | To ngin batai kyllum ia kane ka jinghikai |
07:33 | Ha kane ka jinghikai, ngi la pule shaphang ban develop ia u Scilab code na ka bynta ki interpolation methods. |
07:40 | Ngi la dep pule ruh ban wad ia u value jong ka function ha ki data point ba thymmai. |
07:46 | Solve ia kane ka problem da kaba pyndonkam ia ka Lagrange method and Newton's Divided Difference method. |
07:54 | Peit ia ka video ba don ha ka link ba la pyni harum. |
07:57 | Ka batai kyllum ia ka Spoken Tutorial project. |
08:00 | Lada phim don ia ka bandwidth kaba biang, phi lah ban shu download bad peit ia ka. |
08:05 | Ka kynhun jong ka Spoken Tutorial Project: |
08:07 | Ka pynlong ia ki workshops da kaba pyndonkam da ki spoken tutorials |
08:10 | Ka ai certificates sha kito kiba pass ha ka online test. |
08:14 | Na ka bynta kham bun ki jingtip ba bniah, sngewbha thoh sha ka contact@spoken-tutorial.org |
08:22 | Spoken Tutorial Project kadei shibynta jong ka Talk to a Teacher project. |
08:26 | La kyrshan ia ka da ka National Mission on Eduction lyngba ka ICT,MHRD, Sorkar India. |
08:33 | Kham bun ki jingtip halor kane ka mission kidon ha ka http://spoken-tutorial.org/NMEICT-Intro. |
08:38 | Nga i Meboreen na Shillong, nga pynkut ia kane. |
08:41 | Khublei Shibun . |