Receiving Helpdesk

what does coincide mean in math

by Constance Robel Published 3 years ago Updated 3 years ago

The word ‘coincide’ means that it happens at the same time. In Mathematics, the coincident is defined as the lines that lie upon each other. It is placed in such a way that when we look at them, they appear to be a single line, instead of double or multiple lines.

that it occurs at the same time

Full Answer

What is the symbol for "coincident" in geometry?

Jun 03, 2020 · What does coincide mean in math? Coincident. Two lines or shapes that lie exactly on top of each other. Example: these two lines are coincident, only you can't see them both, because they are on top of each other! Click to see full …

What does obtuse mean In geometry?

Nov 02, 2019 · The word ‘coincide’ means that it happens at the same time. In Mathematics, the coincident is defined as the lines that lie upon each other. It is placed in such a way that when we look at them, they appear to be a single line, instead of double or multiple lines.

What is the definition of similar in geometry?

Definition of Coincident Two lines or shapes that lie exactly on top of each other. Example: these two lines are coincident, but they look like one line because they are on top of each other! But I really did draw two lines. Honest.

What does counter example mean In geometry?

The word 'coincide' means that it occurs at the same time. In terms of Maths, the coincident lines are lines that lie upon each other in such a way that when we look at them, they appear to be a single line, instead of double or multiple lines.

What do you mean by coincide?

1 : to happen at the same time The band's performance is scheduled to coincide with the fireworks. 2 : to agree exactly Their goals coincided. 3 : to occupy the same space The edges of the wallpaper must coincide.

What does coincide mean in graph?

Two lines or shapes that lie exactly on top of each other. Example: these two lines are coincident, but they look like one line because they are on top of each other!

What is coincide equation?

Equation of Coincident Lines: The equation for coincident lines is given by: ax + by = c. When two lines are exactly top on each other, then there could be no other interruption between them. For example, first-line ⇒ 3x +3y = 9 and second-line ⇒ 9x + 9y = 27 are coinciding lines.

How do you know if two lines coincide?

If each line in the system has the same slope as well as the same y-intercept, then the lines are coincident.

What does coincide mean in vectors?

Coincident – if two vectors are coincidental, their directions are the same, although. their magnitudes may be different. In essence, they coincide (lie on each other) and. share the same points.

What does it mean for two points to coincide?

In mathematics, a coincidence point (or simply coincidence) of two functions is a point in their common domain having the same image. Formally, given two functions. we say that a point x in X is a coincidence point of f and g if f(x) = g(x).

When the line coincide the system is?

Answer: The two lines have different slopes and intersect at one point in the plane. A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line.Jan 3, 2021

What is inconsistent in algebra?

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

What does no solution mean?

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. No Solution Equations.

What can be concluded when the graph of two equations coincide?

If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

What are identical lines?

When the coefficients of two straight lines are proportional they are called identical straight lines. Let us assume, the straight lines a1 x + b1 y + c1 = 0 and a2 x + b2y + c2 = 0 are identical then.

What are intersecting lines examples?

Crossroads: Two roads (consider as straight lines) meeting at a common point make crossroads. Scissors: The two arms of the scissors form intersecting lines.

What does coincide mean?

1 : to happen at the same time The band's performance is scheduled to coincide with the fireworks. 2 : to agree exactly Their goals coincided. 3 : to occupy the same space The edges of the wallpaper must coincide.

What is coincident line in math?

Two lines that lie on top of one another are called coincident lines. SEE ALSO: Coincident, Intersecting Lines, Parallel Lines, Skew Lines.

What is a coincide in physics?

to occupy the same place in space, the same point or period in time, or the same relative position: The centers of concentric circles coincide.

What do coincident lines look like?

Ans: Two lines or shapes that lie exactly on top of each other are said to be coincident. If we look at the coincident line, it will look like a single line, because they are on top of each other we can 't see both the lines.

How do you know if two lines coincide?

To determine whether the pair of lines is parallel, coincident, or intersecting, rewrite each equation in slope-intercept form, compare their slopes, and, if necessary, compare their y-intercepts. Since the slopes of the two lines are different, the lines intersect.

How do you know if two lines intersect R3?

Originally Answered: How do I prove that two lines intersect in 3d geometry? If the perpendicular distance between the two lines comes to be zero, then the two lines intersect. The distance between two lines in R3 is equal to the distance between parallel planes that contain these lines.

Do parallel lines form right angles?

The lines are always the same distance apart. No matter how far we extend them, they will never intersect. Figure 1 therefore shows parallel lines. ... If the two lines are too slanted, as in Figure 2, they cannot form right angles.

image
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
8.3.21PHP Version337msRequest Duration2MBMemory UsageGET {post}Route
  • warninglog[21:29:37] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[21:29:37] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[21:29:37] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
  • warninglog[21:29:37] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[21:29:37] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[21:29:37] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[21:29:37] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[21:29:37] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[21:29:37] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • Booting (13.9ms)
  • Application (323ms)
  • 1 x Application (95.77%)
    323.05ms
    1 x Booting (4.12%)
    13.90ms
    7 templates were rendered
    • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
      Params
      0
      post
      1
      postContent
      2
      author
      3
      updated_at
      4
      bing_rich_snippet_text
      5
      bing_rich_snippet_link
      6
      bing_related_keywords
      7
      google_related_keywords
      8
      bing_news_title
      9
      bing_news_description
      10
      bing_videos
      11
      bing_images
      12
      bing_search_result_title
      13
      bing_search_result_description
      14
      bing_search_result_url
      15
      bing_paa_questions
      16
      bing_paa_answers
      17
      bing_slider_faq_questions
      18
      bing_slider_faq_answers
      19
      bing_pop_faq_questions
      20
      bing_pop_faq_answers
      21
      bing_tab_faq_questions
      22
      bing_tab_faq_answers
      23
      google_faq_questions
      24
      google_faq_answers
      25
      google_rich_snippet
      26
      google_search_result
      27
      indexedArray
      28
      total_images
      29
      total_videos
      30
      settings
      31
      url_current
      32
      menus
      33
      sidebar
    • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    uri
    GET {post}
    middleware
    web, checkdate
    as
    post.show
    controller
    App\Http\Controllers\Frontend\json_data\PostController@show
    namespace
    where
    file
    app/Http/Controllers/Frontend/json_data/PostController.php:18-166
    7 statements were executed302ms
    • select * from `posts` where `published_at` <= '2025-06-22 21:29:37' and `slug` = 'what-does-coincide-mean-in-math' and `posts`.`deleted_at` is null limit 1
      2ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
      Metadata
      Bindings
      • 0. 2025-06-22 21:29:37
      • 1. what-does-coincide-mean-in-math
      Backtrace
      • 15. /app/Providers/RouteServiceProvider.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
      • 19. Route binding:39
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
    • select * from `json_post_contents` where `json_post_contents`.`post_id` = 134813 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
      7.58msmiddleware::checkdate:30receivinghelpdeskask
      Metadata
      Bindings
      • 0. 134813
      • 1. 0
      Backtrace
      • 19. middleware::checkdate:30
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
      • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
    • select * from `nova_menu_menus` where `slug` = 'header' limit 1
      380μs/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
      Metadata
      Bindings
      • 0. header
      Backtrace
      • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
      • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
      350μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Bindings
      • 0. 1
      Backtrace
      • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
      290μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Backtrace
      • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
      291ms/app/View/Composers/SidebarView.php:22receivinghelpdeskask
      Metadata
      Bindings
      • 0. publish
      Backtrace
      • 14. /app/View/Composers/SidebarView.php:22
      • 15. /app/View/Composers/SidebarView.php:12
      • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
      • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
      • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
    • select * from `fake_users` where `fake_users`.`id` = 19651 limit 1
      1.1msview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
      Metadata
      Bindings
      • 0. 19651
      Backtrace
      • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
      • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    App\Models\FakeUser
    1
    Outl1ne\MenuBuilder\Models\MenuItem
    1
    Outl1ne\MenuBuilder\Models\Menu
    1
    App\Models\JsonPostContent
    1
    App\Models\Post
    11
        _token
        0PaLdxqBi0KQehFNIdqE9BnxrT9MrcFFtLEE9xpw
        _previous
        array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-does-coincide-mean-in-math" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /what-does-coincide-mean-in-math
        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:25 [ "cookie" => array:1 [ 0 => "_pk_id.64.7c30=5918807923042dcd.1750607972.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6Ik00cTJ6c1ladzZha25LSnhSbmVFL1E9PSIsInZhbHVlIjoic1k3djR0c0dLMXVIaGthaFdsOFM1TnQxM3ZEMnVFdjdUdWlEWTFGNmplT2h1dE1lTW9FckVEVnUrY3FadFVsSkpIWEU3bGVOVDhBVm9IS05yYnJnS2NYOGdTWmcwaU9CanNKNXE0QlZPVFphaDFQdEp6TlN5bVhYdWVyVmdqZVEiLCJtYWMiOiI2N2I2NjY1NjcxZTNlZjI4ODYzNmQ0ZWEwN2EwODg5ZjM5ZDI0YTk2YjQwNjM1MzZkYjFlNzVlMzJmMzQ4ZGI0IiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6IlhpY1c1VzYybEhBU2JzZ0tlblFHTGc9PSIsInZhbHVlIjoiQ3djbEVCZERpMFNsNDhLYlRMdWhZdkcwdCsxeUY0czdnQm9FTUxadGwyUUx0dk9YTWJMdzhGUklaZnRsR2JJUWp3ODc2QXVSbVVJblkvN3JyT2tRTFYzZklTZjJqazZBZGt1MVhHK2F6L1pSbXpQRHZ6MVp5c0xjWWpNYXkxRkEiLCJtYWMiOiJjMzMzMTI4YzFjMWEwNmQxZmZmYTY0NTI1OTg2NzhkNDRhNWQ5YTBmMGFjNTVmMTdjMmZhYWIxMjUwYzQ4NzM2IiwidGFnIjoiIn0%3D_pk_id.64.7c30=5918807923042dcd.1750607972.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6Ik00cTJ6c1ladzZha25LSnhSbmVFL1E9PSIsInZhbHVlIjoic1k3djR0c0dLMXVIaGthaFdsOFM1T" ] "cf-ipcountry" => array:1 [ 0 => "US" ] "cf-connecting-ip" => array:1 [ 0 => "216.73.216.207" ] "cdn-loop" => array:1 [ 0 => "cloudflare; loops=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" ] "accept-encoding" => array:1 [ 0 => "gzip, br" ] "cf-ray" => array:1 [ 0 => "953cf4328f8902ac-ORD" ] "priority" => array:1 [ 0 => "u=0, i" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "cf-visitor" => array:1 [ 0 => "{"scheme":"https"}" ] "connection" => array:1 [ 0 => "close" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "216.73.216.207, 172.70.179.212" ] "x-server-addr" => array:1 [ 0 => "154.12.239.204" ] "host" => array:1 [ 0 => "receivinghelpdesk.com" ] ]
        request_server
        0 of 0
        array:56 [ "USER" => "runcloud" "HOME" => "/home/runcloud" "SCRIPT_NAME" => "/ask/index.php" "REQUEST_URI" => "/ask/what-does-coincide-mean-in-math" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/what-does-coincide-mean-in-math" "REMOTE_PORT" => "49680" "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php" "SERVER_ADMIN" => "you@example.com" "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "CONTEXT_PREFIX" => "" "REQUEST_SCHEME" => "http" "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "REMOTE_ADDR" => "172.70.179.212" "SERVER_PORT" => "80" "SERVER_ADDR" => "127.0.0.1" "SERVER_NAME" => "receivinghelpdesk.com" "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f" "SERVER_SIGNATURE" => "" "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib" "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin" "HTTP_COOKIE" => "_pk_id.64.7c30=5918807923042dcd.1750607972.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6Ik00cTJ6c1ladzZha25LSnhSbmVFL1E9PSIsInZhbHVlIjoic1k3djR0c0dLMXVIaGthaFdsOFM1TnQxM3ZEMnVFdjdUdWlEWTFGNmplT2h1dE1lTW9FckVEVnUrY3FadFVsSkpIWEU3bGVOVDhBVm9IS05yYnJnS2NYOGdTWmcwaU9CanNKNXE0QlZPVFphaDFQdEp6TlN5bVhYdWVyVmdqZVEiLCJtYWMiOiI2N2I2NjY1NjcxZTNlZjI4ODYzNmQ0ZWEwN2EwODg5ZjM5ZDI0YTk2YjQwNjM1MzZkYjFlNzVlMzJmMzQ4ZGI0IiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6IlhpY1c1VzYybEhBU2JzZ0tlblFHTGc9PSIsInZhbHVlIjoiQ3djbEVCZERpMFNsNDhLYlRMdWhZdkcwdCsxeUY0czdnQm9FTUxadGwyUUx0dk9YTWJMdzhGUklaZnRsR2JJUWp3ODc2QXVSbVVJblkvN3JyT2tRTFYzZklTZjJqazZBZGt1MVhHK2F6L1pSbXpQRHZ6MVp5c0xjWWpNYXkxRkEiLCJtYWMiOiJjMzMzMTI4YzFjMWEwNmQxZmZmYTY0NTI1OTg2NzhkNDRhNWQ5YTBmMGFjNTVmMTdjMmZhYWIxMjUwYzQ4NzM2IiwidGFnIjoiIn0%3D_pk_id.64.7c30=5918807923042dcd.1750607972.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6Ik00cTJ6c1ladzZha25LSnhSbmVFL1E9PSIsInZhbHVlIjoic1k3djR0c0dLMXVIaGthaFdsOFM1T" "HTTP_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "216.73.216.207" "HTTP_CDN_LOOP" => "cloudflare; loops=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_ACCEPT_ENCODING" => "gzip, br" "HTTP_CF_RAY" => "953cf4328f8902ac-ORD" "HTTP_PRIORITY" => "u=0, i" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_CF_VISITOR" => "{"scheme":"https"}" "HTTP_CONNECTION" => "close" "HTTP_X_FORWARDED_PROTO" => "https" "HTTP_X_FORWARDED_FOR" => "216.73.216.207, 172.70.179.212" "HTTP_X_SERVER_ADDR" => "154.12.239.204" "HTTP_HOST" => "receivinghelpdesk.com" "HTTPS" => "on" "REDIRECT_STATUS" => "200" "REDIRECT_HTTPS" => "on" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/ask/index.php" "REQUEST_TIME_FLOAT" => 1750607977.3915 "REQUEST_TIME" => 1750607977 ]
        request_cookies
        0 of 0
        array:4 [ "_pk_id_64_7c30" => null "_pk_ses_64_7c30" => null "XSRF-TOKEN" => "0PaLdxqBi0KQehFNIdqE9BnxrT9MrcFFtLEE9xpw" "askhelpdesk_session" => "rEc3LfJSjZrvKLlSoZgGERCjJkwoy14utLNyuhlY" ]
        response_headers
        0 of 0
        array:7 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "private, must-revalidate" ] "date" => array:1 [ 0 => "Sun, 22 Jun 2025 15:59:37 GMT" ] "pragma" => array:1 [ 0 => "no-cache" ] "expires" => array:1 [ 0 => -1 ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjE2N1F2ZUtRSTdIZktjRDlHRU1zalE9PSIsInZhbHVlIjoiYXlKbHpzaGhuZkJMWloxdVgyZnU2ZUNOTDFWU2ZoUlpTTFhCS1BmN1JDSjNja3FJS1YvbXNXT3E1eUY0SzZiWGJNOVpXMVp1K3JBL3dTTXdlckNpNzRHZEhwdys5amFBTUQ1UEFyTEJuWWx0M2I4VWFUSkdFWUNiMHd1Y3NudkoiLCJtYWMiOiI5NjdiMWI2NWE0NThhODY5Zjc0M2NjM2RhMTNiNzQ1YTA2MjdiYTFjZjY5MjcyNTViYTBjZGU3N2U1OWZmMDgzIiwidGFnIjoiIn0%3D; expires=Sun, 22-Jun-2025 17:59:37 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IjE2N1F2ZUtRSTdIZktjRDlHRU1zalE9PSIsInZhbHVlIjoiYXlKbHpzaGhuZkJMWloxdVgyZnU2ZUNOTDFWU2ZoUlpTTFhCS1BmN1JDSjNja3FJS1YvbXNXT3E1eUY0SzZiWGJNOVpXM" 1 => "askhelpdesk_session=eyJpdiI6Ik9YTkFyUVpKWDdWSFFybDNCRUQ1MEE9PSIsInZhbHVlIjoiam5sWjRwL0ovYy9JZE5PTEJlU0M4MzJDMFZhTlJMMW1vNUwrdm9vTFhlNTlLSmp0YXhvTmhWSmo2TUxzR2VQakJ2THdPK3FCTHgrUTRha1RCRnBKRyt2UG9ZRkcra1kwZk1ZM2pKalNpV2x3ZnVzdXNRM05hYjAwSURIbHBaRW8iLCJtYWMiOiJjMTNmNzQ4OWM2OTc3ZmEwMTRiOTBhODQ0OGEwNzMyYmQ2NzBjNGJlMGU0MzI4MTYzYTc4MTAzYWMzM2NjMjViIiwidGFnIjoiIn0%3D; expires=Sun, 22-Jun-2025 17:59:37 GMT; Max-Age=7200; path=/; httponly; samesite=laxaskhelpdesk_session=eyJpdiI6Ik9YTkFyUVpKWDdWSFFybDNCRUQ1MEE9PSIsInZhbHVlIjoiam5sWjRwL0ovYy9JZE5PTEJlU0M4MzJDMFZhTlJMMW1vNUwrdm9vTFhlNTlLSmp0YXhvTmhWSmo2TUxzR2VQ" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjE2N1F2ZUtRSTdIZktjRDlHRU1zalE9PSIsInZhbHVlIjoiYXlKbHpzaGhuZkJMWloxdVgyZnU2ZUNOTDFWU2ZoUlpTTFhCS1BmN1JDSjNja3FJS1YvbXNXT3E1eUY0SzZiWGJNOVpXMVp1K3JBL3dTTXdlckNpNzRHZEhwdys5amFBTUQ1UEFyTEJuWWx0M2I4VWFUSkdFWUNiMHd1Y3NudkoiLCJtYWMiOiI5NjdiMWI2NWE0NThhODY5Zjc0M2NjM2RhMTNiNzQ1YTA2MjdiYTFjZjY5MjcyNTViYTBjZGU3N2U1OWZmMDgzIiwidGFnIjoiIn0%3D; expires=Sun, 22-Jun-2025 17:59:37 GMT; path=/XSRF-TOKEN=eyJpdiI6IjE2N1F2ZUtRSTdIZktjRDlHRU1zalE9PSIsInZhbHVlIjoiYXlKbHpzaGhuZkJMWloxdVgyZnU2ZUNOTDFWU2ZoUlpTTFhCS1BmN1JDSjNja3FJS1YvbXNXT3E1eUY0SzZiWGJNOVpXM" 1 => "askhelpdesk_session=eyJpdiI6Ik9YTkFyUVpKWDdWSFFybDNCRUQ1MEE9PSIsInZhbHVlIjoiam5sWjRwL0ovYy9JZE5PTEJlU0M4MzJDMFZhTlJMMW1vNUwrdm9vTFhlNTlLSmp0YXhvTmhWSmo2TUxzR2VQakJ2THdPK3FCTHgrUTRha1RCRnBKRyt2UG9ZRkcra1kwZk1ZM2pKalNpV2x3ZnVzdXNRM05hYjAwSURIbHBaRW8iLCJtYWMiOiJjMTNmNzQ4OWM2OTc3ZmEwMTRiOTBhODQ0OGEwNzMyYmQ2NzBjNGJlMGU0MzI4MTYzYTc4MTAzYWMzM2NjMjViIiwidGFnIjoiIn0%3D; expires=Sun, 22-Jun-2025 17:59:37 GMT; path=/; httponlyaskhelpdesk_session=eyJpdiI6Ik9YTkFyUVpKWDdWSFFybDNCRUQ1MEE9PSIsInZhbHVlIjoiam5sWjRwL0ovYy9JZE5PTEJlU0M4MzJDMFZhTlJMMW1vNUwrdm9vTFhlNTlLSmp0YXhvTmhWSmo2TUxzR2VQ" ] ]
        session_attributes
        0 of 0
        array:4 [ "_token" => "0PaLdxqBi0KQehFNIdqE9BnxrT9MrcFFtLEE9xpw" "_previous" => array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-does-coincide-mean-in-math" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]