logo_acta

Acta Mathematica Vietnamica

The Decomposition of Homk(S,k) into Indecomposable Injectives

icon-email Amnon Neeman

Abstract

Let S be an algebra essentially of finite type over a field k. Then Homk(S,k) is an injective S--module, and the Matlis structure theorem (Matlis, E.: Pacific J. Math. 8, 511–528 1958) tells us that it can be written as a direct sum of indecomposable injectives. We compute the multiplicities of these injectives. Let p be a prime ideal in S, and let I(p) be the injective hull of S/p. If the residue field k(p) is algebraic over k then the multiplicity of I(p) is μ(p)=1. If the transcendence degree of k(p) over k is 1 then μ(p)|#k|0, that is the multiplicity is no less than the cardinality of the field k raised to the power 0. If S is finitely generated over k then equality holds, that is μ(p)=|#k|0. For k(p) of transcendence degree 1 the result is not surprising, but for k(p) of transcendence degree 2 it is not clear that μ(p)0. We prove the result by induction on the transcendence degree, and the key is that we produce an injective map, from a space whose dimension we know by induction and into the space whose dimension we want to estimate. The interest in the result comes from the fact that the size of μ(p) measures the failure of a natural map ψ(f):f×f! to be an isomorphism. Here f× and f! are the twisted inverse image functors of Grothendieck duality.

8.1.30PHP Version274msRequest Duration4MBMemory UsageGET acta/{alias}/{type}/{alias_article}Route
  • warninglog[08:52:00] LOG.warning: Since league/commonmark 2.2.0: Calling "convertToHtml()" on a League\CommonM...
  • warninglog[08:52:00] LOG.warning: Since league/commonmark 2.2.0: Calling "convertToHtml()" on a League\CommonM...
  • Booting (22ms)
  • Application (252ms)
  • 1 x Application (91.97%)
    252ms
    1 x Booting (8.02%)
    22.00ms
    8 templates were rendered
    • client.actar.article_detail (resources/views/client/actar/article_detail.blade.php)1blade
      Params
      0
      article
    • client.layout_actar.index (resources/views/client/layout_actar/index.blade.php)7blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
    • client.layouts.head (resources/views/client/layouts/head.blade.php)8blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      logo_acta
    • client.layouts.header (resources/views/client/layouts/header.blade.php)8blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      logo_acta
    • client.layout_actar.sub_navigation (resources/views/client/layout_actar/sub_navigation.blade.php)8blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      logo_acta
    • client.layout_actar.sub_navigation (resources/views/client/layout_actar/sub_navigation.blade.php)8blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      logo_acta
    • client.layout_actar.form_search (resources/views/client/layout_actar/form_search.blade.php)8blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      logo_acta
    • client.layouts.footer (resources/views/client/layouts/footer.blade.php)8blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      article
      4
      checkUser
      5
      array_contact
      6
      mail
      7
      logo_acta
    uri
    GET acta/{alias}/{type}/{alias_article}
    middleware
    web, locale
    controller
    App\Http\Controllers\ActarController@view_article_detail
    namespace
    prefix
    /acta
    where
    as
    actar.detail
    file
    app/Http/Controllers/ActarController.php:169-182
    108 statements were executed, 52 of which were duplicated, 56 unique94.32ms
    • select * from `journals` where `jour_alias` = 'pthe-decomposition-of-mathrmhom-ksk-into-indecomposable-injectivesp' and `jour_year` = '2015' and `jour_exp` = '40' limit 1
      5.37ms/app/Http/Controllers/ActarController.php:180beta_math_vn
      Metadata
      Bindings
      • 0. pthe-decomposition-of-mathrmhom-ksk-into-indecomposable-injectivesp
      • 1. 2015
      • 2. 40
      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>Amnon Neeman</p>' limit 1
      2.56ms/app/Repositories/Journals/JournalsRepository.php:35beta_math_vn
      Metadata
      Bindings
      • 0. <p>Amnon Neeman</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`
      2.74ms/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`
      1.39ms/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
      710μs/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
      680μs/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`
      990μs/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
      1.97ms/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
      730μs/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)
      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` = 49
      590μs/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)
      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` = 48
      1.31ms/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)
      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` = 47
      730μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 47
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3, 4)
      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` = 46
      970μs/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)
      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` = 45
      810μs/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)
      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` = 44
      960μs/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)
      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` = 43
      890μs/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)
      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` = 42
      900μs/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)
      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` = 41
      860μs/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)
      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` = 40
      610μs/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)
      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` = 39
      860μs/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)
      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` = 38
      730μs/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)
      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` = 37
      840μs/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)
      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` = 36
      820μs/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)
      800μs/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
      840μs/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)
      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` = 34
      820μs/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)
      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` = 33
      1.24ms/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)
      1.2ms/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
      760μs/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)
      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` = 31
      590μs/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)
      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` = 30
      600μs/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)
      490μs/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
      750μs/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)
      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` = 28
      850μs/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)
      500μs/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
      700μs/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)
      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` = 26
      760μs/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)
      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` = 25
      940μs/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)
      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` = 24
      900μs/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)
      850μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 23
      620μs/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)
      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` = 22
      850μs/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)
      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` = 21
      2.79ms/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)
      1.12ms/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
      1.16ms/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)
      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` = 19
      790μs/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)
      2.1ms/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` = 18
      1.03ms/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)
      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` = 17
      840μs/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)
      720μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 16
      1.05ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 16
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      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` = 15
      660μs/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)
      480μs/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)
      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` = 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)
      480μs/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
      730μs/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)
      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` = 11
      640μs/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)
      490μs/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
      680μs/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)
      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` = 9
      880μs/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)
      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` = 8
      980μs/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)
      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` = 7
      1.01ms/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)
      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` = 6
      1.07ms/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)
      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` = 5
      970μs/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)
      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` = 4
      670μs/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)
      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` = 3
      620μs/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)
      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` = 2
      1.1ms/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)
      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` = 1
      1.09ms/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)
      790μs/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
        HocUh8FO8kzvXDTvJgp8Oe2PBZCZZJu8FLIjigst
        _previous
        array:1 [ "url" => "https://beta.math.ac.vn/acta/2015-volume40/2/pthe-decomposition-of-mathrmhom-k...
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /acta/2015-volume40/2/pthe-decomposition-of-mathrmhom-ksk-into-indecomposable-injectivesp
        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" => "38681" "REMOTE_ADDR" => "18.222.194.136" "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/2015-volume40/2/pthe-decomposition-of-mathrmhom-ksk-into-indecomposable-injectivesp" "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" => 1747385520.5632 "REQUEST_TIME" => 1747385520 ]
        request_cookies
        []
        
        response_headers
        0 of 0
        array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Fri, 16 May 2025 08:52:00 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6InRaUkkzSVVmRjJPcEM1MVlQcHkvRWc9PSIsInZhbHVlIjoiaHFKZ3YySkRIbERNM1hoWVRkTnZZRWVUdDRRL1UrQTErTFVJUlJuM1U0aEk4aTZkR3A2dW84cVlxMlZNaFRnV0lrbjVub2d3TWxnMjdPSE9QeGpWK2J0Z1JsTHB4ZkNLekNuMHpDMVVpSzJHN1hsYVUzWFpLUndTc3FuTGlzdjYiLCJtYWMiOiJlODlhZDY3MDcyY2IxYTkzZGVlODE4OTVmNjRjNGE4M2RhMmFlZGI1MTdhMzIzMmU2ZWNlYjliMzA4YzAzMTEzIiwidGFnIjoiIn0%3D; expires=Fri, 16-May-2025 10:52:00 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6InRaUkkzSVVmRjJPcEM1MVlQcHkvRWc9PSIsInZhbHVlIjoiaHFKZ3YySkRIbERNM1hoWVRkTnZZRWVUdDRRL1UrQTErTFVJUlJuM1U0aEk4aTZkR3A2dW84cVlxMlZNaFRnV0lrbjVub" 1 => "laravel_session=eyJpdiI6IitmTE9sUWd2bzZ5aFM5YjZhTVRId3c9PSIsInZhbHVlIjoiVitSdmpMd1pGazJCa003WEdyejc0OE1WTHgyNi9jS2lsTkNKaVdrWGFlU1g3TDRtYnFvWXlvOVNSR2UwaDNoY2pxRCs3c0ZxalcvVW9HcDhJUFZjTjk3bEo5RkV3QUgyOGlUV1dqQmdoWnFMTEhFTy9adlFzNTdQRG5BWmNJVy8iLCJtYWMiOiI3ZjdhNzIwOTI0NTQ4MWM3YTJjMGU1NWE3NzAwMTM5MzYyYWQxYTBiOGI3NDEzMjA2OWJiMGFiYjAzODhmNWRkIiwidGFnIjoiIn0%3D; expires=Fri, 16-May-2025 10:52:00 GMT; Max-Age=7200; path=/; httponly; samesite=laxlaravel_session=eyJpdiI6IitmTE9sUWd2bzZ5aFM5YjZhTVRId3c9PSIsInZhbHVlIjoiVitSdmpMd1pGazJCa003WEdyejc0OE1WTHgyNi9jS2lsTkNKaVdrWGFlU1g3TDRtYnFvWXlvOVNSR2UwaDNoY2px" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6InRaUkkzSVVmRjJPcEM1MVlQcHkvRWc9PSIsInZhbHVlIjoiaHFKZ3YySkRIbERNM1hoWVRkTnZZRWVUdDRRL1UrQTErTFVJUlJuM1U0aEk4aTZkR3A2dW84cVlxMlZNaFRnV0lrbjVub2d3TWxnMjdPSE9QeGpWK2J0Z1JsTHB4ZkNLekNuMHpDMVVpSzJHN1hsYVUzWFpLUndTc3FuTGlzdjYiLCJtYWMiOiJlODlhZDY3MDcyY2IxYTkzZGVlODE4OTVmNjRjNGE4M2RhMmFlZGI1MTdhMzIzMmU2ZWNlYjliMzA4YzAzMTEzIiwidGFnIjoiIn0%3D; expires=Fri, 16-May-2025 10:52:00 GMT; path=/XSRF-TOKEN=eyJpdiI6InRaUkkzSVVmRjJPcEM1MVlQcHkvRWc9PSIsInZhbHVlIjoiaHFKZ3YySkRIbERNM1hoWVRkTnZZRWVUdDRRL1UrQTErTFVJUlJuM1U0aEk4aTZkR3A2dW84cVlxMlZNaFRnV0lrbjVub" 1 => "laravel_session=eyJpdiI6IitmTE9sUWd2bzZ5aFM5YjZhTVRId3c9PSIsInZhbHVlIjoiVitSdmpMd1pGazJCa003WEdyejc0OE1WTHgyNi9jS2lsTkNKaVdrWGFlU1g3TDRtYnFvWXlvOVNSR2UwaDNoY2pxRCs3c0ZxalcvVW9HcDhJUFZjTjk3bEo5RkV3QUgyOGlUV1dqQmdoWnFMTEhFTy9adlFzNTdQRG5BWmNJVy8iLCJtYWMiOiI3ZjdhNzIwOTI0NTQ4MWM3YTJjMGU1NWE3NzAwMTM5MzYyYWQxYTBiOGI3NDEzMjA2OWJiMGFiYjAzODhmNWRkIiwidGFnIjoiIn0%3D; expires=Fri, 16-May-2025 10:52:00 GMT; path=/; httponlylaravel_session=eyJpdiI6IitmTE9sUWd2bzZ5aFM5YjZhTVRId3c9PSIsInZhbHVlIjoiVitSdmpMd1pGazJCa003WEdyejc0OE1WTHgyNi9jS2lsTkNKaVdrWGFlU1g3TDRtYnFvWXlvOVNSR2UwaDNoY2px" ] ]
        session_attributes
        0 of 0
        array:4 [ "_token" => "HocUh8FO8kzvXDTvJgp8Oe2PBZCZZJu8FLIjigst" "_previous" => array:1 [ "url" => "https://beta.math.ac.vn/acta/2015-volume40/2/pthe-decomposition-of-mathrmhom-ksk-into-indecomposable-injectivesp" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]