Scilab/C4/Interpolation/Khasi

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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 da ka
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' ban 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 lade 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 .

Contributors and Content Editors

Meboreen Mary