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

Refinements and Extensions of Some Strong Duality Theorems in Conic Linear Programming

Nguyen Ngoc Luan , icon-email Nguyen Dong Yen

Abstract

In this paper, we establish a series of new results on strong duality and solution existence for conic linear programs in locally convex Hausdorff topological vector spaces and finite-dimensional Euclidean spaces. Namely, under certain regularity conditions based on quasi-relative interiors of convex sets, we prove that if one problem in the dual pair consisting of a primal program and its dual has a solution, then the other problem also has a solution, and the optimal values of the problems are equal. In addition, we show that if the cones are generalized polyhedral convex, then the regularity conditions can be omitted. Moreover, if the spaces are finite-dimensional and the ordering cones are closed convex, then instead of the solution existence condition, it suffices to require the finiteness of the optimal value. The present paper complements our recent research work [Luan, N.N., Yen, N.D.: Strong duality and solution existence under minimal assumptions in conic linear programming. J. Optim. Theory Appl. (https://doi.org/10.1007/s10957-023-02318-w)].

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 Version268msRequest Duration4MBMemory UsageGET acta/{alias}/{type}/{alias_article}Route
  • warninglog[04:54:05] LOG.warning: Since league/commonmark 2.2.0: Calling "convertToHtml()" on a League\CommonM...
  • warninglog[04:54:05] LOG.warning: Since league/commonmark 2.2.0: Calling "convertToHtml()" on a League\CommonM...
  • Booting (24.2ms)
  • Application (243ms)
  • 1 x Application (90.95%)
    243ms
    1 x Booting (9.04%)
    24.20ms
    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)11blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      __currentLoopData
      8
      value
      9
      key
      10
      loop
    • client.layouts.head (resources/views/client/layouts/head.blade.php)12blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      __currentLoopData
      8
      value
      9
      key
      10
      loop
      11
      logo_acta
    • client.layouts.header (resources/views/client/layouts/header.blade.php)12blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      __currentLoopData
      8
      value
      9
      key
      10
      loop
      11
      logo_acta
    • client.layout_actar.sub_navigation (resources/views/client/layout_actar/sub_navigation.blade.php)12blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      __currentLoopData
      8
      value
      9
      key
      10
      loop
      11
      logo_acta
    • client.layout_actar.sub_navigation (resources/views/client/layout_actar/sub_navigation.blade.php)12blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      __currentLoopData
      8
      value
      9
      key
      10
      loop
      11
      logo_acta
    • client.layout_actar.form_search (resources/views/client/layout_actar/form_search.blade.php)12blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      __currentLoopData
      8
      value
      9
      key
      10
      loop
      11
      logo_acta
    • client.layouts.footer (resources/views/client/layouts/footer.blade.php)12blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      __currentLoopData
      8
      value
      9
      key
      10
      loop
      11
      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 unique91.25ms
    beta_math_vn
    • select * from `journals` where `jour_alias` = 'prefinements-and-extensions-of-some-strong-duality-theorems-in-conic-linear-programmingp' and `jour_year` = '2024' and `jour_exp` = '49' limit 1
      16.14ms/app/Http/Controllers/ActarController.php:180beta_math_vn
      Metadata
      Bindings
      • 0. prefinements-and-extensions-of-some-strong-duality-theorems-in-conic-linear-programmingp
      • 1. 2024
      • 2. 49
      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>Nguyen Dong Yen</p>' limit 1
      3.62ms/app/Repositories/Journals/JournalsRepository.php:35beta_math_vn
      Metadata
      Bindings
      • 0. <p>Nguyen Dong Yen</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`
      1.74ms/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`
      1.24ms/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
      670μs/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`
      1.49ms/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
      1.01ms/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
      700μs/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)
      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` = 49
      670μs/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)
      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` = 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)
      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` = 47
      800μs/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)
      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` = 46
      670μs/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)
      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` = 45
      690μs/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)
      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` = 44
      760μs/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)
      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` = 43
      710μs/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
      960μs/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)
      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` = 41
      680μs/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)
      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` = 40
      710μs/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)
      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` = 39
      960μs/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)
      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` = 38
      1.03ms/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)
      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` = 37
      700μs/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)
      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` = 36
      660μs/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)
      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` = 35
      680μs/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)
      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` = 34
      720μs/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)
      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` = 33
      700μs/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)
      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` = 32
      690μs/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)
      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` = 31
      750μs/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)
      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` = 30
      670μs/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)
      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` = 29
      670μs/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)
      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` = 28
      700μs/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)
      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` = 27
      710μs/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)
      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` = 26
      770μs/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)
      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` = 25
      790μs/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)
      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` = 24
      670μs/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)
      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` = 23
      700μs/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)
      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` = 22
      670μs/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)
      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` = 21
      680μs/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)
      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` = 20
      710μs/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)
      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` = 19
      660μs/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)
      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` = 18
      650μs/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)
      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` = 17
      680μs/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)
      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` = 16
      660μs/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)
      510μs/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
      740μs/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)
      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` = 14
      690μs/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)
      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` = 13
      710μs/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)
      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` = 12
      810μs/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)
      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` = 11
      790μs/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)
      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` = 10
      650μs/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)
      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` = 9
      860μs/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)
      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` = 8
      880μs/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)
      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` = 7
      850μs/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)
      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` = 6
      750μs/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)
      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` = 5
      750μs/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)
      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` = 4
      720μs/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)
      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` = 3
      670μs/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)
      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` = 2
      760μs/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)
      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` = 1
      660μs/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
        AY6uFlHJkFhuv3Fe21kp0NPZ2GHzPcYM1RgV4eEe
        _previous
        array:1 [ "url" => "https://beta.math.ac.vn/acta/2024-volume49/3/prefinements-and-extensions-of-so...
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /acta/2024-volume49/3/prefinements-and-extensions-of-some-strong-duality-theorems-in-conic-linear-programmingp
        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 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99""
  ]
  "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" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99""
  "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" => "40997"
  "REMOTE_ADDR" => "3.148.231.77"
  "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/2024-volume49/3/prefinements-and-extensions-of-some-strong-duality-theorems-in-conic-linear-programmingp"
  "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" => 1747457645.408
  "REQUEST_TIME" => 1747457645
]
        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 => "Sat, 17 May 2025 04:54:05 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6Ikpjd3ZxS1l1bEtudStCVEZjZ3Y1M1E9PSIsInZhbHVlIjoidlVXM2k2Zk1FSTZuSHFSVjgzZFlkN3BkQ21zbnpzNEZOSE8xaWtockpEUFoyK3RGbSsrb0o1TE1udWZLUW1GbENSQjducWljK3RiTDBQVXZkcnRkUmdSSDBucjJBdWp3M1hIeTk0cFNjb1ZGdFpBcG9wK2lETlowcUlTSGoyQ0EiLCJtYWMiOiIwOWVkYmQ1OTRlZjViZTJkYWYyNGQ3NTM3YTM4ZWQ4Y2M5Zjc0MTA2ZTVhYTM3MTU2MTUwOTU3ZjIyOGZjMmQwIiwidGFnIjoiIn0%3D; expires=Sat, 17-May-2025 06:54:05 GMT; Max-Age=7200; path=/; samesite=lax ◀XSRF-TOKEN=eyJpdiI6Ikpjd3ZxS1l1bEtudStCVEZjZ3Y1M1E9PSIsInZhbHVlIjoidlVXM2k2Zk1FSTZuSHFSVjgzZFlkN3BkQ21zbnpzNEZOSE8xaWtockpEUFoyK3RGbSsrb0o1TE1udWZLUW1GbENSQjduc ▶"
    1 => "laravel_session=eyJpdiI6IkJCTWNoUEd0QlNiL2tZYlZTWnFFRUE9PSIsInZhbHVlIjoiOFdJcU5RSG1KczVYRVhjdk9PVUFvcS8zTUtqTlQ0WE9ZMDdBWEhqcmpVZk9ua0haR2E5QlpBOTNXR1htM1h3cWUwRTZTajFhRzE1b1FpU2w3WGpFNVFlblJFbXFzK2R2VFRhcGJvN2Z6aG9XNmxjMTQ5TjNwNzdNVmpIRlZoWkciLCJtYWMiOiJlZGFkY2JlYjhiYWJhYWRhMmQ1YzIxMTQxNzJkMGZmMDVhNzQxOWYxZTI4OGEzM2I2NTgxYmU2MTZiNGQ1YTU0IiwidGFnIjoiIn0%3D; expires=Sat, 17-May-2025 06:54:05 GMT; Max-Age=7200; path=/; httponly; samesite=lax ◀laravel_session=eyJpdiI6IkJCTWNoUEd0QlNiL2tZYlZTWnFFRUE9PSIsInZhbHVlIjoiOFdJcU5RSG1KczVYRVhjdk9PVUFvcS8zTUtqTlQ0WE9ZMDdBWEhqcmpVZk9ua0haR2E5QlpBOTNXR1htM1h3cWUw ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6Ikpjd3ZxS1l1bEtudStCVEZjZ3Y1M1E9PSIsInZhbHVlIjoidlVXM2k2Zk1FSTZuSHFSVjgzZFlkN3BkQ21zbnpzNEZOSE8xaWtockpEUFoyK3RGbSsrb0o1TE1udWZLUW1GbENSQjducWljK3RiTDBQVXZkcnRkUmdSSDBucjJBdWp3M1hIeTk0cFNjb1ZGdFpBcG9wK2lETlowcUlTSGoyQ0EiLCJtYWMiOiIwOWVkYmQ1OTRlZjViZTJkYWYyNGQ3NTM3YTM4ZWQ4Y2M5Zjc0MTA2ZTVhYTM3MTU2MTUwOTU3ZjIyOGZjMmQwIiwidGFnIjoiIn0%3D; expires=Sat, 17-May-2025 06:54:05 GMT; path=/ ◀XSRF-TOKEN=eyJpdiI6Ikpjd3ZxS1l1bEtudStCVEZjZ3Y1M1E9PSIsInZhbHVlIjoidlVXM2k2Zk1FSTZuSHFSVjgzZFlkN3BkQ21zbnpzNEZOSE8xaWtockpEUFoyK3RGbSsrb0o1TE1udWZLUW1GbENSQjduc ▶"
    1 => "laravel_session=eyJpdiI6IkJCTWNoUEd0QlNiL2tZYlZTWnFFRUE9PSIsInZhbHVlIjoiOFdJcU5RSG1KczVYRVhjdk9PVUFvcS8zTUtqTlQ0WE9ZMDdBWEhqcmpVZk9ua0haR2E5QlpBOTNXR1htM1h3cWUwRTZTajFhRzE1b1FpU2w3WGpFNVFlblJFbXFzK2R2VFRhcGJvN2Z6aG9XNmxjMTQ5TjNwNzdNVmpIRlZoWkciLCJtYWMiOiJlZGFkY2JlYjhiYWJhYWRhMmQ1YzIxMTQxNzJkMGZmMDVhNzQxOWYxZTI4OGEzM2I2NTgxYmU2MTZiNGQ1YTU0IiwidGFnIjoiIn0%3D; expires=Sat, 17-May-2025 06:54:05 GMT; path=/; httponly ◀laravel_session=eyJpdiI6IkJCTWNoUEd0QlNiL2tZYlZTWnFFRUE9PSIsInZhbHVlIjoiOFdJcU5RSG1KczVYRVhjdk9PVUFvcS8zTUtqTlQ0WE9ZMDdBWEhqcmpVZk9ua0haR2E5QlpBOTNXR1htM1h3cWUw ▶"
  ]
]
        session_attributes
          0 of 0   
        array:4 [▼
  "_token" => "AY6uFlHJkFhuv3Fe21kp0NPZ2GHzPcYM1RgV4eEe"
  "_previous" => array:1 [▶
    "url" => "https://beta.math.ac.vn/acta/2024-volume49/3/prefinements-and-extensions-of-some-strong-duality-theorems-in-conic-linear-programmingp"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]