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수학고양고양고양이 2021.01.30 06:37 조회 504

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

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17수락 Lv.9 2021.01.30 06:52

(ax+b)(cx+d)=acx^2+(ad+bc)x+bd(제가 가장 좋아하는 공식)

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Scubed Lv.7 2021.01.30 09:14

A PHP Error was encountered

Severity: Warning

Message: is_dir(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)

Filename: libraries/Common.php

Line Number: 201

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 201
Function: is_dir

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 236
Function: getLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
Line: 90
Function: parseLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
Line: 343
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Warning

Message: mkdir(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)

Filename: libraries/Common.php

Line Number: 202

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 202
Function: mkdir

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 236
Function: getLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
Line: 90
Function: parseLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
Line: 343
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Warning

Message: file_exists(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex/581f48dd4e6c4ffb4afc4fcc00e28e37.gif) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)

Filename: libraries/Common.php

Line Number: 212

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 212
Function: file_exists

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 236
Function: getLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
Line: 90
Function: parseLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
Line: 343
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Warning

Message: file_get_contents(http://latex.codecogs.com/gif.latex?T%5E%7B2%7D%3D%5Cfrac%7B4%5Cpi%5E%7B2%7D%20%7D%7BG%28M+m%29%7Da%5E%7B3%7D): Failed to open stream: No route to host

Filename: libraries/Common.php

Line Number: 213

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 213
Function: file_get_contents

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 236
Function: getLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
Line: 90
Function: parseLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
Line: 343
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Warning

Message: file_put_contents(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex/581f48dd4e6c4ffb4afc4fcc00e28e37.gif) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)

Filename: libraries/Common.php

Line Number: 213

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 213
Function: file_put_contents

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 236
Function: getLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
Line: 90
Function: parseLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
Line: 343
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Warning

Message: file_put_contents(/DATA/upload/polymath/latex/581f48dd4e6c4ffb4afc4fcc00e28e37.gif): Failed to open stream: Operation not permitted

Filename: libraries/Common.php

Line Number: 213

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 213
Function: file_put_contents

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 236
Function: getLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
Line: 90
Function: parseLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
Line: 343
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

$T^{2}=\frac{4\pi^{2} }{G(M+m)}a^{3}$

원에 잘 들어갈 듯???

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자몽이 Lv.6 2021.01.30 21:19

폴리매스=사랑♡♡♡

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오서준 Lv.6 2021.01.31 01:31

오일러 등식이요( ei어쩌고 저쩌고 복잡해서 쓰지는 않겠습니다.)

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문제은행 Lv.5 2021.01.31 07:15

a^2+b^2=c^2 아니면

-b(+-)sqrt(b^2-4ac)

2a

어떠십니까

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잡담 Lv.7 2021.01.31 09:19

0!= 1 어떤가요.

간단한데...

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△π Lv.9 2021.01.31 17:14

A PHP Error was encountered

Severity: Warning

Message: is_dir(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)

Filename: libraries/Common.php

Line Number: 201

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 201
Function: is_dir

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 236
Function: getLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
Line: 90
Function: parseLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
Line: 343
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Warning

Message: mkdir(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)

Filename: libraries/Common.php

Line Number: 202

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 202
Function: mkdir

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 236
Function: getLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
Line: 90
Function: parseLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
Line: 343
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Warning

Message: file_exists(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex/53523e32ef5c41601b8697c907c97295.gif) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)

Filename: libraries/Common.php

Line Number: 212

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 212
Function: file_exists

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 236
Function: getLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
Line: 90
Function: parseLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
Line: 343
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Warning

Message: file_get_contents(http://latex.codecogs.com/gif.latex?%5Clim_%7Bx%20%5Cto%200%7D%20%5Cfrac%7B%5Cln%281+x%29%7D%7Bx%7D%3D1): Failed to open stream: No route to host

Filename: libraries/Common.php

Line Number: 213

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 213
Function: file_get_contents

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 236
Function: getLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
Line: 90
Function: parseLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
Line: 343
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Warning

Message: file_put_contents(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex/53523e32ef5c41601b8697c907c97295.gif) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)

Filename: libraries/Common.php

Line Number: 213

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 213
Function: file_put_contents

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 236
Function: getLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
Line: 90
Function: parseLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
Line: 343
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Warning

Message: file_put_contents(/DATA/upload/polymath/latex/53523e32ef5c41601b8697c907c97295.gif): Failed to open stream: Operation not permitted

Filename: libraries/Common.php

Line Number: 213

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 213
Function: file_put_contents

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 236
Function: getLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
Line: 90
Function: parseLatexImg

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
Line: 343
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

$\lim_{x \to 0} \frac{\ln(1+x)}{x}=1$

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- 사인 Lv.4 2021.01.31 20:36
  
  A PHP Error was encountered
  
  Severity: Warning
  
  Message: is_dir(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)
  
  Filename: libraries/Common.php
  
  Line Number: 201
  
  Backtrace:
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
  Line: 201
  Function: is_dir
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
  Line: 236
  Function: getLatexImg
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
  Line: 200
  Function: parseLatexImg
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
  Line: 343
  Function: view
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
  Line: 558
  Function: view
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
  Line: 315
  Function: require_once
  
  A PHP Error was encountered
  
  Severity: Warning
  
  Message: mkdir(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)
  
  Filename: libraries/Common.php
  
  Line Number: 202
  
  Backtrace:
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
  Line: 202
  Function: mkdir
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
  Line: 236
  Function: getLatexImg
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
  Line: 200
  Function: parseLatexImg
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
  Line: 343
  Function: view
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
  Line: 558
  Function: view
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
  Line: 315
  Function: require_once
  
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  Severity: Warning
  
  Message: file_exists(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex/e1671797c52e15f763380b45e841ec32.gif) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)
  
  Filename: libraries/Common.php
  
  Line Number: 212
  
  Backtrace:
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
  Line: 212
  Function: file_exists
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
  Line: 236
  Function: getLatexImg
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
  Line: 200
  Function: parseLatexImg
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
  Line: 343
  Function: view
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
  Line: 558
  Function: view
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
  Line: 315
  Function: require_once
  
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  Severity: Warning
  
  Message: file_get_contents(http://latex.codecogs.com/gif.latex?e): Failed to open stream: No route to host
  
  Filename: libraries/Common.php
  
  Line Number: 213
  
  Backtrace:
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
  Line: 213
  Function: file_get_contents
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
  Line: 236
  Function: getLatexImg
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
  Line: 200
  Function: parseLatexImg
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
  Line: 343
  Function: view
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
  Line: 558
  Function: view
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
  Line: 315
  Function: require_once
  
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  Severity: Warning
  
  Message: file_put_contents(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex/e1671797c52e15f763380b45e841ec32.gif) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)
  
  Filename: libraries/Common.php
  
  Line Number: 213
  
  Backtrace:
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
  Line: 213
  Function: file_put_contents
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
  Line: 236
  Function: getLatexImg
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
  Line: 200
  Function: parseLatexImg
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
  Line: 343
  Function: view
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
  Line: 558
  Function: view
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
  Line: 315
  Function: require_once
  
  A PHP Error was encountered
  
  Severity: Warning
  
  Message: file_put_contents(/DATA/upload/polymath/latex/e1671797c52e15f763380b45e841ec32.gif): Failed to open stream: Operation not permitted
  
  Filename: libraries/Common.php
  
  Line Number: 213
  
  Backtrace:
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
  Line: 213
  Function: file_put_contents
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
  Line: 236
  Function: getLatexImg
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
  Line: 200
  Function: parseLatexImg
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
  Line: 343
  Function: view
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
  Line: 558
  Function: view
  
  File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
  Line: 315
  Function: require_once
  
  $e$ 입니다.
  
  좋아요0
- △π Lv.9 2021.02.01 00:02
  
  @사인
  
  아닙니다만...?
  
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- 사인 Lv.4 2021.02.03 22:15
  
  ln 이 잇군여 죄송함미다.
  
  좋아요0
수학동아 Lv.8 2021.01.31 18:42

근의 공식이요.

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와이파이 Lv.5 2021.02.01 19:50

(x+a)(y+b)=xy+ay+bx+ab (문제풀때 이거 써서 기분좋게 깔끔하게 풀리는 게 있습니다)

피타고라스 정리 공식

eπi+1=0(어 누가 말씀하셨네)

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