View source for LaTeX-Old-Version/C2/Equations/Khasi

{| border=1
|'''Time'''
|'''Narration'''

|-
|00:00
| Pdiang sngewbha sha ka spoken tutorial halor '''equations''' lyngba ka '''Latex'''. 

|-
|00:06
| kumba ju long Phi lah ban iohï lai tylli ki window.

|-
|00:10
|Nga lah shna ka  '''12pt''' size, '''article class''' document. Bad pyndonkam ka '''AMSmath package''' bad ruh pyndonkam ka 'ccliscences' package naka bynta ki creative commons copyright statement kum hangne. 

|-
|00:30
|ka  '''make title''' ka shna ïaka title page. Ka  '''new page''' command ka rah ïaka document basah baroh kawei sha ka page thymmai. 

|-
|00:43
|KI don bun ki rukom ban shna ki equations,Ngan pyndonkam ka command '''align star''' ban shna ki equation.

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|00:51
| To ngin sdang daka matrix differential equation ka ba kynthup ïaki saw tylli ki component jong ngi. 

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|01:03
|Align star, Frac d by dt of begin b-matrix, x_1, next line x_2, end b-matrix.

|-
|01:27
| To ngan khang noh ïa kane. To ngin compile ïaka. 

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|01:37
|Te ngi lah shna ‘d by dt of x1 x2’. 

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|01:42
|To mynta ngin '''augment''' ïa ka '''vector''' sa ar tyllil ki components. 

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|01:48
|Phi leh ïaka kumne harum. Next line x3, next line x4. '''Save''' ïaka. Compile ïaka. Te nga don saw tylli ki components. 

|-
|02:03
|To mynta ngan ong ba kane ka ïa ryngkat ïaka right hand side matrix  begin b-matrix.

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|02:20
| Nod, Nod, u wei, Nod. 

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|02:29
|Ka laiñ babud: Nod, Nod, Nod, u wei. 

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|02:37
|Bad nangta, to ngin khang ïa kane ka matrix. '''Save'''. 

|-
|02:47
|Te nga don ïa kane. Te nga lah thoh ïaki laiñ nyngkong bad ba ar.

|-
|02:53
| Ka dei ka jingmlien ba bha ban compile ha man kawei pa kawei ka jingthep barit khnang ba ngin ym leh bakla. 

|-
|03:00
|Peit ba u align star environment u shim ïaka jaka jong ki dollar signs. 

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|03:06
|Kum ka nuksa, ngi khlem thep ïa u dollar sign shi sien ruh. Haka jingshisha, ngim dei ban thep ïa u dollar sign hapoh ka aligned star environment. 

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|03:14
|To ngin thep ïaka laiñ balai sha ka matrix haka liang ka mon bad ban pyni nuksa ïa kane ka jingmut. 

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|03:25
|Nod, dollar minus gamma, nod, nod. Te ki don saw tylli ki entries. Compile ïaka. Ka mih bad ka ong, missing dollar inserted. 

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|03:50
|Kaei kaba ngin leh ka dei , To ngin wan hangne, weng noh ïa kine ki dollar saiñ. '''Save''' ïaka. 

|-
|03:59
|Mih noh naka jing compile da une u x. compile biang ïaka bad peit ba u '''minus gamma''' u lah mih. Te ngi donkam sa kawei ka laiñ hangne, ngi buh ïa u. nod, alpha khlem u dollar sign, nod, nod. To, mynta kane kadei ka rukom ban leh ïaka.

|-
|04:28
|To ngin pyndep ïa kane ka equation. Nga don shuh sa khyndiat ki term hangne. 

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|04:34
|To ngan peit lada ka don hangne, hooid, ka don hangne. 

|-
|04:39
|To ngin cut ïa kane. Buh ïaki hangne. 

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|04:46
|To ngin peit kan jia aiu ynda nga compile ïa kane. 

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|04:52
|Te, Kane kadei ka model jong u pendulum ba khongpong. 

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|04:59
|Phin leh kumno lada phi don palat ïa kawei ka equation?

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|05:04
|To ngin thep shuh sa kawei ka  '''align''' statement. Bad nga lah thoh ïa kane ka equation hangne. 

|-
|05:13
|To ngan wanrah ïaka nangthie. 

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|05:17
|Kane ka dei ka equation, Te to ngan ong '''begin align star'''. 

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|05:26
|To ngan cut ïa kane. Copy ïa kane. Khang noh ïa kane ka  '''align'''. ngi compile ïaka. 

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|05:39
|Haba nga compile ïaka, nga ioh ïaka equation kaba ar kaba paw. 

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|05:44
|Ki don ar tylli ki jingeh bad kane. Ka don ka jaka thylli baheh  hapdeng ki ar tylli ki equation, bad ruh ngi lah ban kwah ban  align ïaka equation. 

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|05:52
|Na kadaw jong kine ki jing khmih thuh, ngi buh ïa baroh ar kine ki equation shapoh jong ka single '''align star''' environment. 

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|06:01
|Te ngin leh ïa kane kumne harum. Delete ïa kane. 

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|06:08
|Save ïa ka. Compile ïaka.

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|06:14
|Kaei kaba la jia ka long ba baroh ar tylli ki equation ki lah wan lang ha kajuh ka laiñ. 

|-
|06:20
|Ngin pynbiang ïa kata dakaba ong ïaka latex ban phiah ïa kane da ar tylli ki '''reverse slash'''. 

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|06:33
|Haba nga compile ïaka, mynta kine ki lah leit sha ka equation kaba ar. 

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|06:40
|Hynrei ïaki equation khlem pat la pynbeit. Shu mutdur ba ngi kwah ban pynbeit ïa u 'equal to' sign, lehse ngi kwah ban pynbeit ïa kine ar tylli ki saiñ, ngi buh ïa u ampersand symbol ha khmat jong u 'equal to' signs hangne. To ngan buh ïa u. 

|-
|07:00
|Bad ngin buh ïa u hangne ruh. Ampersand. To ngin compile ïa kane. Mynta peit thuh ba baroh ar tylli lah pynbeit ïaki. 

|-
|07:18
|shubuh ngi kwah ban thep sa katto katne ki text hapdeng ka equations khlem da pynkhih ïaka alignment.

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|07:24
|ïa kane lah ban ioh dakaba pyndonkam ka '''inter-text''' command.

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|07:29
|Te ngi weng... ngi lah leh kaba bakla hangne, u 'delta mu' u lah wan hangne. Te, Kaei ka ba ngin leh, To ngin buh shwa ïa kane haka rukom badei, compile ïa kane. 

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|07:48
|Mynta u 'delta mu' u lah wan hangtei. 'U of t' u don hangne. 

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|07:51
|Mynta ngi kwah ban thep katto katne ki text hapdeng kine ar. Te u laiñ ba pynïakhlad u slash slash  lah weng bad haka jaka jong ki ngi thep ïa kane ka text kaba ngi kwah ban buh lang.
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|08:07
|To ngin shim ïakane ka text bad buh ïaka hangto. Kano kano ka text kaba ngi kwah ban buh, ka paw haki braces ryngkat ka '''inter-text''' command. 

|-
|08:24
|Peit thuh ba ïa u brace ba plie dei ban khang, ban ym khang ïa u brace kadei ka jingbakla ba ju leh daki beginners. 

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|08:37
|To ngin compile ïa kane. Te kane ka text bad ruh phi lah ban iohi bala pynryntih ïaki equations. 

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|08:50
|Peit thuh ruh ïa ka jingpyndonkam u dollar sign hapoh ki '''inter-text''' command. 

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|08:54
|Ka '''Inter-text''' ka long kumba run ïaka text, Te kane kam dei satia ka bynta jong ka '''align''' environment. Phi donkam ban kynthup lang ïa ki dollar hangne. 

|-
|09:03
|Kine ki equations kim don dak jingkheiñ. Haka jingshisha, u star ha ka '''align star''' command u lah bthah ïaka latex ban ym buh ïa ki dak jingkheiñ jong ka equation. 

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|09:14
|To ngin weng ïa u star bad peit aiu ka '''align environment''' ka leh. To ngin weng ïa u star hangne. Bad ruh weng ïa u star hangne. To ngin peit ka jia aiu. 

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|09:30
|Te ki equation numbers ki lah paw hi dalade. 

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|09:36
|Ngi kwah ban kdew sha ki, Te kumka nuksa, shu buh, ngi kwah ban kdew sha ki, te nga don kane hangne. 

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|09:49
|Lehse, kane ka equation ba ar kaba nga kwah ban discretize, te ngan thoh ïa kane ka statement.
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|09:55
|To ngan buh ïa kane hangne, buh ïaka harum kane. 

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|10:04
|To ngan compile ïaka. Te ka ong "we will now discretize the PID controller given in equation 2". 

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|10:13
|Ki equation numbers ki lah ban kylla haka por ba thep ïaki lane por ba delete ïaki equation. 

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|10:20
|Ban pyni nuksa ïakane, To ngin mutdur, ngi kynthup ïaka equation hangne. 

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|10:32
|Slash, slash, a equals b. 

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|10:40
|Bad ngin delete ïa kine ki lain. To ngin compile ïa kane. 

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|10:47
|Mynta nga don 'a equals b' kum ka equation kaba ar. Mynta kane ka la kylla ka equation kaba lai.

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|10:53
|Hangne ngi lah hard-coded ïa kato ka equation kaba ar ka dei ban discretize hynrei kane kam dei shuh ka equation kaba ar.

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|11:04
|Ka jing Hard-coding ïa ki equation numbers haka referencing ka ju don barabor ïa kane ka jingeh. Ïa kane ka jingeh lah weng daka '''label''' command.

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|11:12
|Te, To ngin wan hangne bad hangne ha kaba kut jong ka equation ngi thep ïaka ‘label equation PID’ bad nangta hangne nga thoh haka equation ‘ref’, '''ref''' kadei ka command bad kaei kaei kaba wan ha kane ka label, kadei ban paw ruh hangne,  sa shisien hapoh ki brace, 'equation PID’. 
|-
|11:39
|To ngin peit kan jia aiu haba nga compile ïaka. 

|-
|11:47
|haka por compile ïaka, ngi ïohi ïa u dak jingkylli hangne. 

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|11:52
|Haka jing compile ba ar, ngi iohi kaei kaba lah jia hangne – mynta ka lah kylla lai tylli. Haka jing compile ba ar, lah pynbeit iaki number sha kaba dei. 

|-
|12:03
|Kane ka ïa syriem ïa kaei kaba ngi lah ïohi haka table of contents. 

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|12:08
|To mynta ngin delete ïa ka 'a equals b' equation.
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|12:15
|To ngin bret noh ïa kane ruh. 

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|12:22
|To ngin compile ïaka. Kane ka equation ba ar ka lah jah bad phi dang don ïa kane kaba lai. 

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|12:30
|Haka jing compile kaba nyngkong ka reference ka ai ïa u number uba hashwa,haka jing compie kaba ar u numbers u lah kylla sha u ba dei. 

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|12:40
|Ki '''labels''' ki long '''case sensitive'''. Kum ka nuksa, hangne nga lah khot ïa ïaka ka equation PID, PID kadei haki dak heh. To ngin pynkylla ïa kane sha ki pid barit. 

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|12:54
|Ka jia aiu mynta, hangne ka ong ba kam ithuh ïa kata. 

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|13:02
|Ka donkam tang ba kin long ïa syriem, kine kim donkam ban long ki character. Kum ka nuksa, lehse nga kwah ban ai ïaki number hangne, to ngan shu buh shispah hangne, To ngan buh 100. '''Save''' ïaka. Compile ïaka. 

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|13:21
|To, kam pat shym la ithuh satia haka jing compile ba nyngkong hynrei nga compile ïaka haka sien ba ar, kan sa ithuh ïaka. Ki Number ki long kum juh. 

|-
|13:30
|Ha ka juh ka rukom ngi lah ban shna ki label naka bynta ki section, sub-section bad ter ter. 

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|13:35
|Te to ngin leh ïa kata, to ngin pyni nuksa ïa kane daka section. To ngin leh ïaka hangne. 

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|13:45
|Section, This is first section. Label, sec 100. 

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|13:56
|Nangta ngi leit sha kaba kut jong ka document hangne. 

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|14:00
|Bad ong: section ref sec-100, shows how to write equations. '''Save''' ïaka hangne. 

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|14:23
|‘Section, question marks shows how to write equations’. 

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|14:26
| ïakane ynsa pynbeit Haka jing compile babud. 

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|14:30
|Te section 1, U ne u number u dei u juh kum une u number. 

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|14:34
|Te kane ka treikam naka bynta ki section, sub-section bad ter ter. Haka jingshisha, bad kano kano ka environment kaba don u number uba ia snoh lang bad u. 

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|14:42
|Te to ngin delete ïakine. 

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|14:56
|To ngin compile ïakine sa shisien.. 

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|15:04
|Mynta ngin peit kumno ban pynlah ban pynrung ïaki equation kiba jrong. 

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|15:09
|Te, nga lah thoh lypa ïaka hangne. To ngan leit shane sha ba kut jong ka document, te hangne ka don. 
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|15:23
| Te to ngan thep ïa kane 

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|15:29
|Buh ïaka hangne. To ngin peit kan jia aiu ynda nga compile ïaka. 

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|15:40
|Te nga don ïaka equation kaba lai kaba nga lah thep hangne, kadei ka equation kaba jrong. Kadei ka equation kaba jrong te kan ym rung ha kawei ka laiñ.

|-
|15:49
|Te to ngin phiah ïaka sha ar bynta. Ban leh ïa kata ka long, To ngin phiah ïaka hangne, slash slash bad wan hangne bad nga buh ïa ka align da une u ampersand. 

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|16:11
|To ngan '''save''' ïaka, compile ïaka. Peit ba ïa kane ka equation lah phiah haki ar bynta bad nga pynbeit ïaka da u saiñ plus. 

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|16:26
|ïa kine ki equal sign bad ki plus sign baroh lah pynbeit mynta. 

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|16:30
|sniewbok ba ngi don ïa ki  equation number ha baroh ar bynta. 

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|16:35
|Shu mutdur ba ngim kwah ïa u number haka laiñ ba nyngkong, Shu buh ngim kwah ïa une u number. Kynthup ïa ka command ‘no number’ shwa une u slash, slash symbol. Leh ïaka kumne harum. 

|-
|16:51
|'''Save''' ïakane. Compile ïaka. Peit ba une u equation number u lah jah bad kane ka lah kylla hi lai dalade 

|-
|17:02
|Ngi iohi ba ki brace kiba ngi kwah haki katto katne ki term ki lah jah. Kum ka nuksa, nga lah ong hangne e n, e n minus 1. Hangne ka paw khlem kine ki brace. Kane ka long namar, ki brace kidei kiba peit ïa kaei ban buh haka latex. 

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|17:16
|Mynta ngi kwah ban ïathuh ïaka latex ban ym pynkylla ïa kine ki brace. Ïa kane la leh dakaba buh u reverse slash shwa ki brace.

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|17:24
| To ngan buh ïa u reverse slash hangne. To nga buh ruh ïa u reverse slash hangne. 

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|17:36
|Peit ba mynta ngi don ïaki brace hangne; kumjuh, to ngin buh ïaka hangne ruh. 

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|17:46
|Hangne bad hangne. To ngin '''Save''' ïa kane, mynta ngi lah ïoh ïa kata. 

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|17:58
|Mynta ngin pyni kumno ban shna ïa ki bracket ba heh haki equation. Kum ka nuksa, hangne, kine ki bracket ki rit palat. 

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|18:08
|Ka rukom ban leh ïakata ka long dakaba pyndonkam – da kiba lahtip kum '''left''' bad '''right''' commands. 

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|18:15
|Te to ngin wan hangne – te ka equation kadon hangne. 

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|18:21
|Ka rukom ban leh ïa kane ka long – '''K slash left''' bad ha kane ka liang nga don ïa kane, te hangne nga buh ïa u slash '''right'''. 

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|18:38
|To ngin compile ïa kane. Peit ïa kane, ka lah kylla kham heh. 

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|18:45
|Ngi lah ban leh ïa kane ruh da ki square brackets.

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|18:58
|Nga don ki square bracket. Nga lah ruh ban buh ki brace, tang kawei ka long ba nga dei ban ïathuh ïaka latex ban ym pynkylla ïaki. Te nga buh ïa u slash brace. 

|-
|19:12
|To ngin compile ïa kane. 

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|19:17
|Peit ïa kine ki brace. 

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|19:22
|Haba ngi don kawei ka equation kaba lah phiah sha ki laiñ ba bun tylli, ngi dei ban buh tang ïa uba kadiang ha kaba nyngkong. Kum ka nuksa, hangne, ngi don u bracket, ngi don u bracket hangne, nga kwah ban pynheh khyndiat  ïa u ne. Te to ngan leh ïa kata hangne. 

|-
|19:35
|Lehse kum ka nuksa, nga kwah ban buh ïa u '''left''' bracket hangne bad hangne nga kwah ban buh u '''right''' bracket. Compile ïaka.

|-
|19:57
|Ka mih bad ka ong  complain ‘forgotten right’, namar nga lah plie ïaka hangne hynrei nga khlem khang ïaka ha kajuh ka equation. 

|-
|20:04
|Ka rukom ban leh ïa kata ka long ban pyndonkam ïa kaba lah tip kum '''slash right dot''', kaba mut ba phim donkam ban khuslai shaphang ka liang kamon. 

|-
|20:15
|Kumjuh , Hangne ngi dei ban ong '''slash left dot''', wat khuslai shaphang ka diang. To ngan exit noh hangne. To ngan compile biang ïaka. Te ïakane lahdep pynbiang ïaka. 

|-
|20:30
|Mynta shubuh nga kwah ban khyññiat ïa kane shapoh khyndiat. Barabor  Nga lah ban ong '''slash h-space 1cm'''.

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|20:45
| To ngan leh ïa kata ka jing pynkynriah. 

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|20:51
|Te, ïa kane lahdep pynkynriah, ïa kane lahdep pynbeit. 

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|20:54
|Lada phim kwah ïa kane, phi kwah ïa u plus sign ban wan shapoh,

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|20:59
|To ngin leh ïa kane hangne, buh ïa u plus sign hangne.

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|21:08
|Kabiang, une u plus u lah long shapoh. Mynta ïa kane lahleh bha. 
|-
|21:17
|Baroh ki '''commands''' kiba trei hapdeng jong ki dollar sign ki trei ruh hapdeng jong ki aligned environment hynrei naka bynta u ampersand symbol uba lah pyndonkam ban pynbeit ïa ki equation ba bun tylli. 

|-
|21:27
|Baroh ki command kiba trei haka aligned environment ki trei ruh hapoh ki dollar symbols.

|-
|21:32
|Watla katta, kadon ka jingpher khyndiat ha ka rukom paw ka output haka aligned environment bad haka running mode balah ioh da u dollar. 

|-
|21:41
|ïaKane lah ban pyni nuksa daka integral mode. 

|-
|21:46
|Te to ngin wan hangne. 

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|21:50
|To ngin delete ïa kine.

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|21:53
| Te nga don ïa kane ka statement hangne. To ngan shim ïa kane, 

|-
|22:10
|To ngan buh ïaka hangne. 

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|22:15
|"The integral mode includes the term" kane ka integral. 

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|22:21
|To ngan khang ïa kane, lymda kumta ka alignment kan sa complain. 

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|22:28
|Te kaei kaba nga lahleh ka long: The integral mode includes the term" kane ka  integral.

|-
|22:33
| Peit ïa ka size jong kane ka integral bad ka size jong kane ka integral. Kane ka kham heh bad kane ka kham rit. 

|-
|22:47
|Kum kine ki jingkylla ruh ki jia haka bynta jong ki fraction, sum bad product ban shu ong katto katne. 

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|22:52
|Don sa kawei kaba nga kwah ban ong shwa ban pynkut ïa kane ka tutorial.

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|22:58
|Ka Aligned environment kam sngewtynnad ban don ki laiñ thylli hapdeng. Lehse kum ka nuksa, Nga shna ïa u laiñ thylli hangne. 

|-
|23:11
|Ka mih bad ka ong ba ka paragraph ka lah kut shwa ba ka alignment kan dep. Lada phi kwah shisha ïa ka jaka thylli , buh ïa u percentage kaba ong ïaka latex ba kadei ka comment. 

|-
|23:24
|compile biang ïaka. Ka ïaid beit bad phi ioh ïaki text kumba mynne. 

|-
|23:32
|Kane ka wallam ïa ngi sha ka bakut jong kane ka tutorial. Khublei ba phi lah shahshkor. 

|-
|23:37
|| ïa kane ka script la pynkylla sha ka ktien Khasi da I Hezekiah Lyngdoh na Shillong. Khublei shibun