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

Frames for Operators in Banach Spaces

icon-email Ramu Geddavalasa , P. Sam Johnson

Abstract

A family of local atoms in a Banach space has been introduced and it has been generalized to an atomic system for operators in Banach spaces, which has been further led to introduce new frames for operators by Dastourian and Janfada, by making use of semi-inner products. Unlike the traditional way of considering sequences in the dual space, sequences in the original space are considered to study them. Appropriate changes have been made in the definitions of atomic systems and frames for operators to fit them for sequences in the dual space without using semi-inner products so that the new notion for Banach spaces can be thought of as a generalization of Banach frames. With some crucial assumptions, we show that frames for operators in Banach spaces share nice properties of frames for operators in Hilbert spaces.

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 Version393msRequest Duration4MBMemory UsageGET acta/{alias}/{type}/{alias_article}Route
  • warninglog[21:28:16] LOG.warning: Since league/commonmark 2.2.0: Calling "convertToHtml()" on a League\CommonM...
  • warninglog[21:28:16] LOG.warning: Since league/commonmark 2.2.0: Calling "convertToHtml()" on a League\CommonM...
  • Booting (45.7ms)
  • Application (347ms)
  • 1 x Application (88.37%)
    347ms
    1 x Booting (11.63%)
    45.70ms
    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 unique129ms
    beta_math_vn
    • select * from `journals` where `jour_alias` = 'frames-for-operators-in-banach-spaces' and `jour_year` = '2017' and `jour_exp` = '42' limit 1
      26.75ms/app/Http/Controllers/ActarController.php:180beta_math_vn
      Metadata
      Bindings
      • 0. frames-for-operators-in-banach-spaces
      • 1. 2017
      • 2. 42
      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>Ramu Geddavalasa</p>' limit 1
      7.59ms/app/Repositories/Journals/JournalsRepository.php:35beta_math_vn
      Metadata
      Bindings
      • 0. <p>Ramu Geddavalasa</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`
      3.02ms/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`
      2.2ms/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
      800μs/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
      650μs/app/Repositories/Pages/PagesRepository.php:163beta_math_vn
      Metadata
      Bindings
      • 0. home
      Backtrace
      • 15. /app/Repositories/Pages/PagesRepository.php:163
      • 16. view::fd9b2a1341804b82ed272fcc4d5ce7a2f724be30:38
      • 18. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select `volume` from `issues` group by `volume`
      1.34ms/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
      1.38ms/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
      1.07ms/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)
      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` = 49
      1.13ms/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)
      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` = 48
      1.1ms/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)
      930μs/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
      1.1ms/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)
      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` = 46
      1.05ms/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)
      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
    • select * from `issues` where `volume` = 45
      1.22ms/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)
      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` = 44
      1.04ms/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)
      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` = 43
      1.26ms/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)
      1.08ms/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
      1.15ms/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)
      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` = 41
      1.11ms/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)
      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` = 40
      1.11ms/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)
      1.57ms/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
      1.26ms/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)
      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` = 38
      920μs/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
      990μs/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)
      710μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 36
      750μs/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)
      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` = 35
      820μs/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)
      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` = 34
      1.05ms/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)
      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` = 33
      770μs/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)
      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` = 32
      920μs/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)
      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` = 31
      790μs/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)
      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` = 30
      750μs/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)
      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` = 29
      670μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 29
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2, 3)
      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
      870μs/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)
      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` = 27
      670μs/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)
      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` = 26
      1ms/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)
      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` = 25
      840μs/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)
      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` = 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)
      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` = 23
      740μs/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)
      830μs/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
      1.25ms/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)
      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` = 21
      1.01ms/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)
      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` = 20
      970μs/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)
      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` = 19
      1ms/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)
      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` = 18
      1.09ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Bindings
      • 0. 18
      Backtrace
      • 14. /app/Repositories/Pages/PagesRepository.php:108
      • 15. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues_types` where `issues_types`.`id` in (1, 2)
      1.23ms/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 17
      1.01ms/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)
      960μs/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
      900μs/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)
      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` = 15
      690μs/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)
      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` = 14
      790μs/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)
      840μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 13
      1.04ms/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)
      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` = 12
      970μs/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)
      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` = 11
      1.07ms/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)
      1.01ms/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
      930μs/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)
      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` = 9
      1.13ms/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
      1.12ms/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)
      710μs/app/Repositories/Pages/PagesRepository.php:108beta_math_vn
      Metadata
      Backtrace
      • 19. /app/Repositories/Pages/PagesRepository.php:108
      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
      • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    • select * from `issues` where `volume` = 7
      810μs/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
      660μs/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)
      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` = 5
      790μs/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)
      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` = 4
      770μs/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)
      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` = 3
      710μs/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)
      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` = 2
      670μs/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)
      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` = 1
      670μs/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)
      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
    App\Models\IssuesTypes
    137
    App\Models\Volumes
    50
    App\Models\Issues
    187
    App\Models\Pages
    56
    App\Models\Journals
    1
        _token
        L2gFYuj9lx04V3fq0DaBJO1eMYiUPB6qGpwueeMY
        _previous
        array:1 [ "url" => "https://beta.math.ac.vn/acta/2017-volume42/4/frames-for-operators-in-banach-sp...
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /acta/2017-volume42/4/frames-for-operators-in-banach-spaces
        status_code
        200
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        request_request
        []
        request_headers
          0 of 0   
        array:15 [▼
  "accept-encoding" => array:1 [▶
    0 => "gzip, deflate, br, zstd"
  ]
  "sec-fetch-dest" => array:1 [▶
    0 => "document"
  ]
  "sec-fetch-user" => array:1 [▶
    0 => "?1"
  ]
  "sec-fetch-mode" => array:1 [▶
    0 => "navigate"
  ]
  "sec-fetch-site" => array:1 [▶
    0 => "none"
  ]
  "accept" => array:1 [▶
    0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  ]
  "user-agent" => array:1 [▶
    0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  ]
  "upgrade-insecure-requests" => array:1 [▶
    0 => "1"
  ]
  "sec-ch-ua-platform" => array:1 [▶
    0 => ""Windows""
  ]
  "sec-ch-ua-mobile" => array:1 [▶
    0 => "?0"
  ]
  "sec-ch-ua" => array:1 [▶
    0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129""
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "connection" => array:1 [▶
    0 => "keep-alive"
  ]
  "host" => array:1 [▶
    0 => "beta.math.ac.vn"
  ]
]
        request_server
          0 of 0   
        array:41 [▼
  "USER" => "www-data"
  "HOME" => "/var/www"
  "HTTP_ACCEPT_ENCODING" => "gzip, deflate, br, zstd"
  "HTTP_SEC_FETCH_DEST" => "document"
  "HTTP_SEC_FETCH_USER" => "?1"
  "HTTP_SEC_FETCH_MODE" => "navigate"
  "HTTP_SEC_FETCH_SITE" => "none"
  "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  "HTTP_UPGRADE_INSECURE_REQUESTS" => "1"
  "HTTP_SEC_CH_UA_PLATFORM" => ""Windows""
  "HTTP_SEC_CH_UA_MOBILE" => "?0"
  "HTTP_SEC_CH_UA" => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129""
  "HTTP_CACHE_CONTROL" => "no-cache"
  "HTTP_PRAGMA" => "no-cache"
  "HTTP_CONNECTION" => "keep-alive"
  "HTTP_HOST" => "beta.math.ac.vn"
  "REDIRECT_STATUS" => "200"
  "SERVER_NAME" => "beta.math.ac.vn"
  "SERVER_PORT" => "443"
  "SERVER_ADDR" => "119.17.215.180"
  "REMOTE_PORT" => "45774"
  "REMOTE_ADDR" => "3.141.190.74"
  "SERVER_SOFTWARE" => "nginx/1.18.0"
  "GATEWAY_INTERFACE" => "CGI/1.1"
  "HTTPS" => "on"
  "REQUEST_SCHEME" => "https"
  "SERVER_PROTOCOL" => "HTTP/1.1"
  "DOCUMENT_ROOT" => "/var/www/math.ac.vn/html/public"
  "DOCUMENT_URI" => "/index.php"
  "REQUEST_URI" => "/acta/2017-volume42/4/frames-for-operators-in-banach-spaces"
  "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" => 1743974896.7894
  "REQUEST_TIME" => 1743974896
]
        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 => "Sun, 06 Apr 2025 21:28:16 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IllUaFBHVFpPK3BOVUlldkUvTCtUWkE9PSIsInZhbHVlIjoibDBxU29HTnZNVnlBWTRUck9wS2w5aENGZjBLT2UzMnRSTHpmWmQxMjZPVjJCbXJyVDB5czltZkhodFc2Y3U4b1Y1ZU9pOWJ6OTlBSFF4dlBWYjNvM1pTVXNYVGxQSVB0cFordjdneEt5emdGSDFMKzFCcmpxQkx1RFJsQWZZblEiLCJtYWMiOiJjOTgxZTVjZDIyMWI0NTM3Y2QzZjY4YTRhZTk5YTRjMjY4MDliMmM1MTgxZjc3NGRkNzJlZGZkNDEwMWM4NTQxIiwidGFnIjoiIn0%3D; expires=Sun, 06-Apr-2025 23:28:17 GMT; Max-Age=7200; path=/; samesite=lax ◀XSRF-TOKEN=eyJpdiI6IllUaFBHVFpPK3BOVUlldkUvTCtUWkE9PSIsInZhbHVlIjoibDBxU29HTnZNVnlBWTRUck9wS2w5aENGZjBLT2UzMnRSTHpmWmQxMjZPVjJCbXJyVDB5czltZkhodFc2Y3U4b1Y1ZU9pO ▶"
    1 => "laravel_session=eyJpdiI6Im5EcElSNWhPcSt5RmdreDBtemN0eXc9PSIsInZhbHVlIjoibUdpSmR2dE5HdnNhOWUxb2thQ3p0amh1a0pIS04vUkh0NjhlZExnL1FuSm5ZSlMvUVd2YVVhNFlHRWhUNFRHV3NrQlNCTEtRczBvSy9GWGlQeWlCNjZOU2hJbGVBbE9QZjc3SkNHVHRVcjVrVG1xNXJXdkljaXBxcml5b0VUYXciLCJtYWMiOiI4MzU4NTM0NTI3YWRhODAzZDkzYTQ5NTE2OWVmYzU1MzIwMzM3NzliNGFmNTI5ZThjZGFjZGIyYTlhZTQ1YTJhIiwidGFnIjoiIn0%3D; expires=Sun, 06-Apr-2025 23:28:17 GMT; Max-Age=7200; path=/; httponly; samesite=lax ◀laravel_session=eyJpdiI6Im5EcElSNWhPcSt5RmdreDBtemN0eXc9PSIsInZhbHVlIjoibUdpSmR2dE5HdnNhOWUxb2thQ3p0amh1a0pIS04vUkh0NjhlZExnL1FuSm5ZSlMvUVd2YVVhNFlHRWhUNFRHV3Nr ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IllUaFBHVFpPK3BOVUlldkUvTCtUWkE9PSIsInZhbHVlIjoibDBxU29HTnZNVnlBWTRUck9wS2w5aENGZjBLT2UzMnRSTHpmWmQxMjZPVjJCbXJyVDB5czltZkhodFc2Y3U4b1Y1ZU9pOWJ6OTlBSFF4dlBWYjNvM1pTVXNYVGxQSVB0cFordjdneEt5emdGSDFMKzFCcmpxQkx1RFJsQWZZblEiLCJtYWMiOiJjOTgxZTVjZDIyMWI0NTM3Y2QzZjY4YTRhZTk5YTRjMjY4MDliMmM1MTgxZjc3NGRkNzJlZGZkNDEwMWM4NTQxIiwidGFnIjoiIn0%3D; expires=Sun, 06-Apr-2025 23:28:17 GMT; path=/ ◀XSRF-TOKEN=eyJpdiI6IllUaFBHVFpPK3BOVUlldkUvTCtUWkE9PSIsInZhbHVlIjoibDBxU29HTnZNVnlBWTRUck9wS2w5aENGZjBLT2UzMnRSTHpmWmQxMjZPVjJCbXJyVDB5czltZkhodFc2Y3U4b1Y1ZU9pO ▶"
    1 => "laravel_session=eyJpdiI6Im5EcElSNWhPcSt5RmdreDBtemN0eXc9PSIsInZhbHVlIjoibUdpSmR2dE5HdnNhOWUxb2thQ3p0amh1a0pIS04vUkh0NjhlZExnL1FuSm5ZSlMvUVd2YVVhNFlHRWhUNFRHV3NrQlNCTEtRczBvSy9GWGlQeWlCNjZOU2hJbGVBbE9QZjc3SkNHVHRVcjVrVG1xNXJXdkljaXBxcml5b0VUYXciLCJtYWMiOiI4MzU4NTM0NTI3YWRhODAzZDkzYTQ5NTE2OWVmYzU1MzIwMzM3NzliNGFmNTI5ZThjZGFjZGIyYTlhZTQ1YTJhIiwidGFnIjoiIn0%3D; expires=Sun, 06-Apr-2025 23:28:17 GMT; path=/; httponly ◀laravel_session=eyJpdiI6Im5EcElSNWhPcSt5RmdreDBtemN0eXc9PSIsInZhbHVlIjoibUdpSmR2dE5HdnNhOWUxb2thQ3p0amh1a0pIS04vUkh0NjhlZExnL1FuSm5ZSlMvUVd2YVVhNFlHRWhUNFRHV3Nr ▶"
  ]
]
        session_attributes
          0 of 0   
        array:4 [▼
  "_token" => "L2gFYuj9lx04V3fq0DaBJO1eMYiUPB6qGpwueeMY"
  "_previous" => array:1 [▶
    "url" => "https://beta.math.ac.vn/acta/2017-volume42/4/frames-for-operators-in-banach-spaces"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]