Webmail
MathScinet
OMS
vi en
logo_acta

Acta Mathematica Vietnamica

Search within journal
Submit manuscript
Online first articles
Recent issues
Volumes and issues
Open access issues

CONDITIONS DE PROLONGEMENT HARMONIQUE ET SES APPLICATIONS

icon-email NGUYỄN THỪA HỢP

Abstract

Beaucoup de propriétés des fonctions analytiques se généralisent aux fonction harmoniques à n variables. Parmi eux, on a bien connu des propriétés classiques: l'analycité, le theorème de Liouville, le développement en série, etc...

Il est intéressant, dans le domaine des fonctions harmoniques, d'étudier des modèles analogues aux problèmes du saut, les problèmes de Riemann et de Hilbert etc... Relativement à ce sujet, les premiers résultats sur les problèmes du saut ont été obtenus dans [5], [6].

Dans la théorie des pròblèmes aux limites des fonctions analytiques, on sait bien l'importance des conditions de prolongement analytique d'une fonction donnée sur une courbe fermée à l'intérieur de cette courbe [3]. Dans le présent article, nous établissons les conditions analogues: celles de prolongement harmonique. Plus précisément, nous étudions les conditions nécessaires et suffisantes pour qu'il existe dans un domaine une fonction harmonique telle que les valeurs limites de cette fonction et de sa dérivée normale sur la frontière du domaine soient égales à des fonctions données.

À titre d'applications, nous étudions la résolution effective des diverses équations du potentiel et donnons la représentation intégrale d'une fonction harmonique dans un domaine multiplement connexe.

Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam

Địa chỉ: Số 18 đường Hoàng Quốc Việt, quận Cầu Giấy, Hà Nội

Điện thoại: 024 37563474 - Fax: 024 37564303

Email: vientoan@math.ac.vn

Viện nghiên cứu cao cấp về toán Hội Toán học Mỹ MathScinet Thư viện số (VAST) Arxiv
Lịch hoạt động chung Lịch sử dụng phòng, hội trường, hội thảo Ảnh hoạt động
Giới thiệu Đăng nhập Đăng ký tài khoản Quên mật khẩu Chính sách bảo mật
Messages2TimelineExceptionsViews8RouteQueries108Models431MailsGateSessionRequest
8.1.30PHP Version295msRequest Duration4MBMemory UsageGET acta/{alias}/{type}/{alias_article}Route
  • warninglog[00:41:58] LOG.warning: Since league/commonmark 2.2.0: Calling "convertToHtml()" on a League\CommonM...
  • warninglog[00:41:58] LOG.warning: Since league/commonmark 2.2.0: Calling "convertToHtml()" on a League\CommonM...
  • Booting (25ms)
  • Application (270ms)
  • 1 x Application (91.52%)
    270ms
    1 x Booting (8.47%)
    25.00ms
    8 templates were rendered
    • client.actar.article_detail (resources/views/client/actar/article_detail.blade.php)1blade
      Params
      0
      article
    • client.layout_actar.index (resources/views/client/layout_actar/index.blade.php)7blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
    • client.layouts.head (resources/views/client/layouts/head.blade.php)8blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      logo_acta
    • client.layouts.header (resources/views/client/layouts/header.blade.php)8blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      logo_acta
    • client.layout_actar.sub_navigation (resources/views/client/layout_actar/sub_navigation.blade.php)8blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      logo_acta
    • client.layout_actar.sub_navigation (resources/views/client/layout_actar/sub_navigation.blade.php)8blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      logo_acta
    • client.layout_actar.form_search (resources/views/client/layout_actar/form_search.blade.php)8blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      logo_acta
    • client.layouts.footer (resources/views/client/layouts/footer.blade.php)8blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      logo_acta
    uri
    GET acta/{alias}/{type}/{alias_article}
    middleware
    web, locale
    controller
    App\Http\Controllers\ActarController@view_article_detail
    namespace
    prefix
    /acta
    where
    as
    actar.detail
    file
    app/Http/Controllers/ActarController.php:169-182
    108 statements were executed, 52 of which were duplicated, 56 unique89.37ms
    beta_math_vn
    • select * from `journals` where `jour_alias` = 'pconditions-de-prolongement-harmonique-et-ses-applicationsp' and `jour_year` = '1980' and `jour_exp` = '5' limit 1
      4.1ms/app/Http/Controllers/ActarController.php:180beta_math_vn
      Metadata
      Bindings
      • 0. pconditions-de-prolongement-harmonique-et-ses-applicationsp
      • 1. 1980
      • 2. 5
      Backtrace
      • 15. /app/Http/Controllers/ActarController.php:180
      • 16. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:262
      • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
    • select * from `members` where `name` = '<p>NGUYỄN THỪA HỢP</p>' limit 1
      2.73ms/app/Repositories/Journals/JournalsRepository.php:35beta_math_vn
      Metadata
      Bindings
      • 0. <p>NGUYỄN THỪA HỢP</p>
      Backtrace
      • 15. /app/Repositories/Journals/JournalsRepository.php:35
      • 16. view::3a9753654b50786c4d2a03da427d7d9326335c37:14
      • 18. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `pages`
      1.36ms/app/Repositories/Pages/PagesRepository.php:30beta_math_vn
      Metadata
      Backtrace
      • 17. /app/Repositories/Pages/PagesRepository.php:30
      • 18. view::01088efbdad11e5de3c98ab3e5816b5d87373dd5:28
      • 20. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 21. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `pages`
      1.5ms/app/Repositories/Pages/PagesRepository.php:30beta_math_vn
      Metadata
      Backtrace
      • 17. /app/Repositories/Pages/PagesRepository.php:30
      • 18. view::01088efbdad11e5de3c98ab3e5816b5d87373dd5:28
      • 20. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 21. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `pages` where `alias` = 'home' limit 1
      640μs/app/Repositories/Pages/PagesRepository.php:163beta_math_vn
      Metadata
      Bindings
      • 0. home
      Backtrace
      • 15. /app/Repositories/Pages/PagesRepository.php:163
      • 16. view::fd9b2a1341804b82ed272fcc4d5ce7a2f724be30:37
      • 18. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `pages` where `alias` = 'home' limit 1
      590μs/app/Repositories/Pages/PagesRepository.php:163beta_math_vn
      Metadata
      Bindings
      • 0. home
      Backtrace
      • 15. /app/Repositories/Pages/PagesRepository.php:163
      • 16. view::fd9b2a1341804b82ed272fcc4d5ce7a2f724be30:38
      • 18. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select `volume` from `issues` group by `volume`
      820μs/app/Repositories/Pages/PagesRepository.php:102beta_math_vn
      Metadata
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:102
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:26
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `volumes` order by `vol_year` desc
      860μs/app/Repositories/Pages/PagesRepository.php:103beta_math_vn
      Metadata
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:103
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:26
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 50
      710μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 50
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1)
      540μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 49
      780μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 49
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      770μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 48
      720μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 48
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      610μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 47
      730μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 47
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      710μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 46
      880μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 46
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      670μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 45
      880μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 45
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      640μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 44
      740μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 44
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      760μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 43
      650μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 43
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      530μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 42
      700μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 42
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      1.36ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 41
      880μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 41
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      750μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 40
      820μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 40
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      760μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 39
      780μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 39
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      600μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 38
      860μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 38
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      730μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 37
      760μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 37
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      580μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 36
      680μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 36
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      640μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 35
      770μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 35
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      610μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 34
      730μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 34
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      560μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 33
      760μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 33
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      850μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 32
      900μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 32
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 6)
      580μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 31
      730μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 31
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      730μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 30
      960μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 30
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      620μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 29
      1.34ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 29
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      700μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 28
      890μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 28
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      780μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 27
      890μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 27
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      780μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 26
      1.02ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 26
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      670μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 25
      820μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 25
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      680μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 24
      750μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 24
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      640μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 23
      730μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 23
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      600μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 22
      720μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 22
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      1.31ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 21
      820μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 21
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      750μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 20
      840μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 20
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      650μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 19
      760μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 19
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      670μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 18
      1.29ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 18
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      1.21ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 17
      1.07ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 17
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      550μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 16
      1.05ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 16
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      810μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 15
      810μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 15
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      670μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 14
      780μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 14
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      600μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 13
      850μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 13
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      590μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 12
      750μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 12
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      600μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 11
      750μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 11
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      630μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 10
      790μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 10
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      560μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 9
      710μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 9
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      570μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 8
      760μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 8
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      520μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 7
      890μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 7
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      690μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 6
      730μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 6
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      700μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 5
      1.12ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 5
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      710μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 4
      1.01ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 4
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      840μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 3
      800μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 3
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      580μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 2
      1.03ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 2
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      560μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 1
      800μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 1
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      560μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    App\Models\IssuesTypes
    137
    App\Models\Volumes
    50
    App\Models\Issues
    187
    App\Models\Pages
    56
    App\Models\Journals
    1
        _token
        rCAc3Dn51mE5dLq4980YLIUik5c36RKLrQR8519J
        _previous
        array:1 [ "url" => "https://beta.math.ac.vn/acta/1980-volume5/1/pconditions-de-prolongement-harmon...
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /acta/1980-volume5/1/pconditions-de-prolongement-harmonique-et-ses-applicationsp
        status_code
        200
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        request_request
        []
        request_headers
          0 of 0   
        array:15 [▼
  "accept-encoding" => array:1 [▶
    0 => "gzip, deflate, br, zstd"
  ]
  "sec-fetch-dest" => array:1 [▶
    0 => "document"
  ]
  "sec-fetch-user" => array:1 [▶
    0 => "?1"
  ]
  "sec-fetch-mode" => array:1 [▶
    0 => "navigate"
  ]
  "sec-fetch-site" => array:1 [▶
    0 => "none"
  ]
  "accept" => array:1 [▶
    0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  ]
  "user-agent" => array:1 [▶
    0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  ]
  "upgrade-insecure-requests" => array:1 [▶
    0 => "1"
  ]
  "sec-ch-ua-platform" => array:1 [▶
    0 => ""Windows""
  ]
  "sec-ch-ua-mobile" => array:1 [▶
    0 => "?0"
  ]
  "sec-ch-ua" => array:1 [▶
    0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129""
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "connection" => array:1 [▶
    0 => "keep-alive"
  ]
  "host" => array:1 [▶
    0 => "beta.math.ac.vn"
  ]
]
        request_server
          0 of 0   
        array:41 [▼
  "USER" => "www-data"
  "HOME" => "/var/www"
  "HTTP_ACCEPT_ENCODING" => "gzip, deflate, br, zstd"
  "HTTP_SEC_FETCH_DEST" => "document"
  "HTTP_SEC_FETCH_USER" => "?1"
  "HTTP_SEC_FETCH_MODE" => "navigate"
  "HTTP_SEC_FETCH_SITE" => "none"
  "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  "HTTP_UPGRADE_INSECURE_REQUESTS" => "1"
  "HTTP_SEC_CH_UA_PLATFORM" => ""Windows""
  "HTTP_SEC_CH_UA_MOBILE" => "?0"
  "HTTP_SEC_CH_UA" => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129""
  "HTTP_CACHE_CONTROL" => "no-cache"
  "HTTP_PRAGMA" => "no-cache"
  "HTTP_CONNECTION" => "keep-alive"
  "HTTP_HOST" => "beta.math.ac.vn"
  "REDIRECT_STATUS" => "200"
  "SERVER_NAME" => "beta.math.ac.vn"
  "SERVER_PORT" => "443"
  "SERVER_ADDR" => "119.17.215.180"
  "REMOTE_PORT" => "18671"
  "REMOTE_ADDR" => "3.141.190.74"
  "SERVER_SOFTWARE" => "nginx/1.18.0"
  "GATEWAY_INTERFACE" => "CGI/1.1"
  "HTTPS" => "on"
  "REQUEST_SCHEME" => "https"
  "SERVER_PROTOCOL" => "HTTP/1.1"
  "DOCUMENT_ROOT" => "/var/www/math.ac.vn/html/public"
  "DOCUMENT_URI" => "/index.php"
  "REQUEST_URI" => "/acta/1980-volume5/1/pconditions-de-prolongement-harmonique-et-ses-applicationsp"
  "SCRIPT_NAME" => "/index.php"
  "CONTENT_LENGTH" => ""
  "CONTENT_TYPE" => ""
  "REQUEST_METHOD" => "GET"
  "QUERY_STRING" => ""
  "SCRIPT_FILENAME" => "/var/www/math.ac.vn/html/public/index.php"
  "FCGI_ROLE" => "RESPONDER"
  "PHP_SELF" => "/index.php"
  "REQUEST_TIME_FLOAT" => 1743727318.8312
  "REQUEST_TIME" => 1743727318
]
        request_cookies
        []
        response_headers
          0 of 0   
        array:5 [▼
  "content-type" => array:1 [▶
    0 => "text/html; charset=UTF-8"
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache, private"
  ]
  "date" => array:1 [▶
    0 => "Fri, 04 Apr 2025 00:41:58 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6InFEWVgyMTNiSUdlMW5CdU84Ym1tSmc9PSIsInZhbHVlIjoiajMzRFBMemlEczNEVHRtejVxVTZFUzd3cnRpSjBRWllFUm9NcmVnVlNWU1Z4MmZkZWg5ak5jTXYzSVVHQjQxdk5ZQ3RVZ2htTDBJMjAzNE9zMVEzdCs1SndLaWpzRk9HcHFZWmJ5VXRYQnQ3RXVTQVdwSWdDdXBhL1AzM2Z3RnEiLCJtYWMiOiI3M2Y1YWRmOWQ1OGExNzc1ODZiYTA4NjBkYzU5YTI1NDg3NWNhYTIyODBlZmFlZDcyN2Y4ZGQ4OTZkNWU1NTJmIiwidGFnIjoiIn0%3D; expires=Fri, 04-Apr-2025 02:41:59 GMT; Max-Age=7200; path=/; samesite=lax ◀XSRF-TOKEN=eyJpdiI6InFEWVgyMTNiSUdlMW5CdU84Ym1tSmc9PSIsInZhbHVlIjoiajMzRFBMemlEczNEVHRtejVxVTZFUzd3cnRpSjBRWllFUm9NcmVnVlNWU1Z4MmZkZWg5ak5jTXYzSVVHQjQxdk5ZQ3RVZ ▶"
    1 => "laravel_session=eyJpdiI6Ikh6RVhpdVMrT1BuK2ZWYWdML2ZxRlE9PSIsInZhbHVlIjoiT3I4RnZsR2NDU1poZHZudkE0VW94OXdnN0hFdHY0UkxRVzRLZW5sWTc1NDBHaDBKSTB6VDd0bHZIY1JTRnM0b01PR0lpcG4wY213RjlFSGNrVXFhZFk1MjRGUlZua2RodWhWajk5ZTJlTlJMNHlEdjJSUCtGTkNmcUhOS1grbVAiLCJtYWMiOiJmODY0N2VlMzI3ZGFhZGQ5ZmM2ZGQxOGQ5ODg0ZDQzMTRjM2M3MjZkOTA5NDQ4MzgzMzhkZTA4Y2VmMWFlMTc1IiwidGFnIjoiIn0%3D; expires=Fri, 04-Apr-2025 02:41:59 GMT; Max-Age=7200; path=/; httponly; samesite=lax ◀laravel_session=eyJpdiI6Ikh6RVhpdVMrT1BuK2ZWYWdML2ZxRlE9PSIsInZhbHVlIjoiT3I4RnZsR2NDU1poZHZudkE0VW94OXdnN0hFdHY0UkxRVzRLZW5sWTc1NDBHaDBKSTB6VDd0bHZIY1JTRnM0b01P ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6InFEWVgyMTNiSUdlMW5CdU84Ym1tSmc9PSIsInZhbHVlIjoiajMzRFBMemlEczNEVHRtejVxVTZFUzd3cnRpSjBRWllFUm9NcmVnVlNWU1Z4MmZkZWg5ak5jTXYzSVVHQjQxdk5ZQ3RVZ2htTDBJMjAzNE9zMVEzdCs1SndLaWpzRk9HcHFZWmJ5VXRYQnQ3RXVTQVdwSWdDdXBhL1AzM2Z3RnEiLCJtYWMiOiI3M2Y1YWRmOWQ1OGExNzc1ODZiYTA4NjBkYzU5YTI1NDg3NWNhYTIyODBlZmFlZDcyN2Y4ZGQ4OTZkNWU1NTJmIiwidGFnIjoiIn0%3D; expires=Fri, 04-Apr-2025 02:41:59 GMT; path=/ ◀XSRF-TOKEN=eyJpdiI6InFEWVgyMTNiSUdlMW5CdU84Ym1tSmc9PSIsInZhbHVlIjoiajMzRFBMemlEczNEVHRtejVxVTZFUzd3cnRpSjBRWllFUm9NcmVnVlNWU1Z4MmZkZWg5ak5jTXYzSVVHQjQxdk5ZQ3RVZ ▶"
    1 => "laravel_session=eyJpdiI6Ikh6RVhpdVMrT1BuK2ZWYWdML2ZxRlE9PSIsInZhbHVlIjoiT3I4RnZsR2NDU1poZHZudkE0VW94OXdnN0hFdHY0UkxRVzRLZW5sWTc1NDBHaDBKSTB6VDd0bHZIY1JTRnM0b01PR0lpcG4wY213RjlFSGNrVXFhZFk1MjRGUlZua2RodWhWajk5ZTJlTlJMNHlEdjJSUCtGTkNmcUhOS1grbVAiLCJtYWMiOiJmODY0N2VlMzI3ZGFhZGQ5ZmM2ZGQxOGQ5ODg0ZDQzMTRjM2M3MjZkOTA5NDQ4MzgzMzhkZTA4Y2VmMWFlMTc1IiwidGFnIjoiIn0%3D; expires=Fri, 04-Apr-2025 02:41:59 GMT; path=/; httponly ◀laravel_session=eyJpdiI6Ikh6RVhpdVMrT1BuK2ZWYWdML2ZxRlE9PSIsInZhbHVlIjoiT3I4RnZsR2NDU1poZHZudkE0VW94OXdnN0hFdHY0UkxRVzRLZW5sWTc1NDBHaDBKSTB6VDd0bHZIY1JTRnM0b01P ▶"
  ]
]
        session_attributes
          0 of 0   
        array:4 [▼
  "_token" => "rCAc3Dn51mE5dLq4980YLIUik5c36RKLrQR8519J"
  "_previous" => array:1 [▶
    "url" => "https://beta.math.ac.vn/acta/1980-volume5/1/pconditions-de-prolongement-harmonique-et-ses-applicationsp"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]