Scilab/C4/Interpolation/Khasi

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 .

Contributors and Content Editors

Meboreen Mary