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

Changing Views on Curves and Surfaces

Kathlén Kohn , Bernd Sturmfels , Matthew Trager

Abstract

Visual events in computer vision are studied from the perspective of algebraic geometry. Given a sufficiently general curve or surface in 3-space, we consider the image or contour curve that arises by projecting from a viewpoint. Qualitative changes in that curve occur when the viewpoint crosses the visual event surface. We examine the components of this ruled surface and observe that these coincide with the iterated singular loci of the coisotropic hypersurfaces associated with the original curve or surface. We derive formulas, due to Salmon and Petitjean, for the degrees of these surfaces, and show how to compute exact representations for all visual event surfaces using algebraic methods.

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 Version319msRequest Duration4MBMemory UsageGET acta/{alias}/{type}/{alias_article}Route
  • warninglog[18:06:35] LOG.warning: Since league/commonmark 2.2.0: Calling "convertToHtml()" on a League\CommonM...
  • warninglog[18:06:35] LOG.warning: Since league/commonmark 2.2.0: Calling "convertToHtml()" on a League\CommonM...
  • Booting (42.13ms)
  • Application (276ms)
  • 1 x Application (86.77%)
    276ms
    1 x Booting (13.22%)
    42.13ms
    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 unique103ms
    beta_math_vn
    • select * from `journals` where `jour_alias` = 'changing-views-on-curves-and-surfaces' and `jour_year` = '2018' and `jour_exp` = '43' limit 1
      11.59ms/app/Http/Controllers/ActarController.php:180beta_math_vn
      Metadata
      Bindings
      • 0. changing-views-on-curves-and-surfaces
      • 1. 2018
      • 2. 43
      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>Kathl&eacute;n Kohn</p>' limit 1
      3.57ms/app/Repositories/Journals/JournalsRepository.php:35beta_math_vn
      Metadata
      Bindings
      • 0. <p>Kathlén Kohn</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`
      1.83ms/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`
      1.6ms/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
      860μs/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
      610μs/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`
      910μs/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
      1ms/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
      800μs/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)
      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` = 49
      760μs/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)
      880μs/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
      710μs/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)
      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` = 47
      1ms/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)
      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` = 46
      860μs/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)
      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` = 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)
      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` = 44
      730μs/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)
      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` = 43
      720μs/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)
      660μs/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
      790μs/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)
      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` = 41
      790μs/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)
      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` = 40
      1.01ms/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)
      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` = 39
      750μs/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
      760μs/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)
      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` = 37
      710μs/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)
      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` = 36
      1.11ms/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)
      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` = 35
      720μs/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
      2.04ms/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)
      1ms/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
      1.09ms/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)
      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` = 32
      1.1ms/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)
      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` = 31
      970μs/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)
      860μs/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
      1.23ms/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)
      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` = 29
      760μs/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)
      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` = 28
      800μs/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)
      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` = 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)
      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` = 26
      720μs/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)
      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` = 25
      680μs/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)
      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` = 24
      770μs/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)
      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` = 23
      680μs/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)
      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` = 22
      780μs/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)
      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` = 21
      750μs/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)
      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` = 20
      830μs/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)
      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` = 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)
      3.42ms/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
      1.05ms/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)
      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` = 17
      950μs/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)
      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` = 16
      930μs/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)
      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` = 15
      970μs/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)
      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` = 14
      880μs/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)
      870μs/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
      750μs/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)
      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` = 12
      960μs/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)
      890μs/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
      1.02ms/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)
      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` = 10
      1.04ms/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)
      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` = 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)
      660μs/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
      790μs/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)
      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` = 7
      760μs/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
      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)
      740μs/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
      760μs/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)
      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` = 4
      750μs/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)
      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` = 3
      700μs/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)
      2.13ms/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
      840μs/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)
      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` = 1
      780μs/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)
      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
    App\Models\IssuesTypes
    137
    App\Models\Volumes
    50
    App\Models\Issues
    187
    App\Models\Pages
    56
    App\Models\Journals
    1
        _token
        Le31AxZMk0F9vcHeVw9i6km4wbVD5mawfuoiaMy6
        _previous
        array:1 [ "url" => "https://beta.math.ac.vn/acta/2018-volume43/1/changing-views-on-curves-and-surf...
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /acta/2018-volume43/1/changing-views-on-curves-and-surfaces
        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" => "33550"
  "REMOTE_ADDR" => "18.116.42.43"
  "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/2018-volume43/1/changing-views-on-curves-and-surfaces"
  "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" => 1747245995.0264
  "REQUEST_TIME" => 1747245995
]
        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 => "Wed, 14 May 2025 18:06:35 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IkZmRkFtOWw1VjR5YWxBWlRRbjhSS0E9PSIsInZhbHVlIjoidUdrVEpjS0NmY3B5aUZZUUNSTjFEY3M1VHk5Q0EvQkRtUDlON1FZU3UxMTRqcE5hMzRMbTZ1S1V3dnRaMVBoVlRHR2hHNFRLSHplZ1Y4OU12cEdZdUU1dVU1NnJCTXpCREtDY3ROWFIxZVAyb2NsMzB3UUxvRDhkU3IreG9CRXUiLCJtYWMiOiIzYjZhMjg0YjJjYmM2ZGRhNTlkNTc5OWJmMTU5MmJkMTk4NGJhMmY2NDIwNTNkMjAxZDdhZTQwNjA5M2EyMzQzIiwidGFnIjoiIn0%3D; expires=Wed, 14-May-2025 20:06:35 GMT; Max-Age=7200; path=/; samesite=lax ◀XSRF-TOKEN=eyJpdiI6IkZmRkFtOWw1VjR5YWxBWlRRbjhSS0E9PSIsInZhbHVlIjoidUdrVEpjS0NmY3B5aUZZUUNSTjFEY3M1VHk5Q0EvQkRtUDlON1FZU3UxMTRqcE5hMzRMbTZ1S1V3dnRaMVBoVlRHR2hHN ▶"
    1 => "laravel_session=eyJpdiI6IjJDRFNrNFp4bEpWY05HbDY4aVFIN0E9PSIsInZhbHVlIjoiQ1lDTERTajg1NUp6V2VsVWdiSXFaYlVQSXhHNTdRTnBHWGZoTER1bVdTMWdvMzZHM2p6ZmhqeGtGaEFGdHR2UVYrSS9ZOUlGWGl4c2Y2cHdOVFJNQmpKTGVJRlVGUEtGRVdteFZ1eGlxR0dldG8yNGJEdzYyREtmUGsxUUlUQ2EiLCJtYWMiOiIxZTE2NDlmNzZmMDAzYjdhMzJhZmQ4MmQ4Zjg0ZmE3N2VhOGNkY2RlMGRjMmM1YjVkMDhhMTFlYTFiNjQ5ODNjIiwidGFnIjoiIn0%3D; expires=Wed, 14-May-2025 20:06:35 GMT; Max-Age=7200; path=/; httponly; samesite=lax ◀laravel_session=eyJpdiI6IjJDRFNrNFp4bEpWY05HbDY4aVFIN0E9PSIsInZhbHVlIjoiQ1lDTERTajg1NUp6V2VsVWdiSXFaYlVQSXhHNTdRTnBHWGZoTER1bVdTMWdvMzZHM2p6ZmhqeGtGaEFGdHR2UVYr ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IkZmRkFtOWw1VjR5YWxBWlRRbjhSS0E9PSIsInZhbHVlIjoidUdrVEpjS0NmY3B5aUZZUUNSTjFEY3M1VHk5Q0EvQkRtUDlON1FZU3UxMTRqcE5hMzRMbTZ1S1V3dnRaMVBoVlRHR2hHNFRLSHplZ1Y4OU12cEdZdUU1dVU1NnJCTXpCREtDY3ROWFIxZVAyb2NsMzB3UUxvRDhkU3IreG9CRXUiLCJtYWMiOiIzYjZhMjg0YjJjYmM2ZGRhNTlkNTc5OWJmMTU5MmJkMTk4NGJhMmY2NDIwNTNkMjAxZDdhZTQwNjA5M2EyMzQzIiwidGFnIjoiIn0%3D; expires=Wed, 14-May-2025 20:06:35 GMT; path=/ ◀XSRF-TOKEN=eyJpdiI6IkZmRkFtOWw1VjR5YWxBWlRRbjhSS0E9PSIsInZhbHVlIjoidUdrVEpjS0NmY3B5aUZZUUNSTjFEY3M1VHk5Q0EvQkRtUDlON1FZU3UxMTRqcE5hMzRMbTZ1S1V3dnRaMVBoVlRHR2hHN ▶"
    1 => "laravel_session=eyJpdiI6IjJDRFNrNFp4bEpWY05HbDY4aVFIN0E9PSIsInZhbHVlIjoiQ1lDTERTajg1NUp6V2VsVWdiSXFaYlVQSXhHNTdRTnBHWGZoTER1bVdTMWdvMzZHM2p6ZmhqeGtGaEFGdHR2UVYrSS9ZOUlGWGl4c2Y2cHdOVFJNQmpKTGVJRlVGUEtGRVdteFZ1eGlxR0dldG8yNGJEdzYyREtmUGsxUUlUQ2EiLCJtYWMiOiIxZTE2NDlmNzZmMDAzYjdhMzJhZmQ4MmQ4Zjg0ZmE3N2VhOGNkY2RlMGRjMmM1YjVkMDhhMTFlYTFiNjQ5ODNjIiwidGFnIjoiIn0%3D; expires=Wed, 14-May-2025 20:06:35 GMT; path=/; httponly ◀laravel_session=eyJpdiI6IjJDRFNrNFp4bEpWY05HbDY4aVFIN0E9PSIsInZhbHVlIjoiQ1lDTERTajg1NUp6V2VsVWdiSXFaYlVQSXhHNTdRTnBHWGZoTER1bVdTMWdvMzZHM2p6ZmhqeGtGaEFGdHR2UVYr ▶"
  ]
]
        session_attributes
          0 of 0   
        array:4 [▼
  "_token" => "Le31AxZMk0F9vcHeVw9i6km4wbVD5mawfuoiaMy6"
  "_previous" => array:1 [▶
    "url" => "https://beta.math.ac.vn/acta/2018-volume43/1/changing-views-on-curves-and-surfaces"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]