Receiving Helpdesk

what is the degree of precision

by Xander Witting Published 3 years ago Updated 2 years ago

degree of precision The degree of polynomials that a given rule for numerical integration integrates exactly. The same concept can be applied in other areas, such as the solution of ordinary differential equations.

Full Answer

What is the difference between precision and accuracy?

With the Winter Olympics rapidly approaching, the question of what is a biathlon is a pretty common one. The answer is simple: It’s a sporting event that combines skiing and shooting. But there’s also a bit more to it than that. At its most basic level ...

How to determine precision?

Precision for Binary Classification In an imbalanced classification problem with two classes, precision is calculated as the number of true positives divided by the total number of true positives and false positives. The result is a value between 0.0 for no precision and 1.0 for full or perfect precision.

What is the formula for precision?

The remaining three methods are calculating AP across scales:

  • AP^small: AP for small objects: area < 32² px
  • AP^medium: AP for medium objects: 32² < area < 96² px
  • AP^large: AP for large objects: area > 96² px

How to calculate precision in chemistry?

  • The range is calculated: 1005 - 981 = 24.
  • The difference between the questionable result (981) and its nearest neighbor is calculated: 1001 - 981 = 20.
  • The quotient is calculated: 20/24 = 0.83.
  • The calculated quotient is compared to the Q 0.90 value of 0.76 for n=4 (from table 14.3 above) and found to be greater.

More items...

How do you find the degree of precision?

For this calculation of precision, you need to determine how close each value is to the mean. To do this, subtract the mean from each number. For this measurement, it does not matter whether the value is above or below the mean. Subtract the numbers and just use the positive value of the result.

What is degree of precision in numerical analysis?

Definition: The degree of accuracy or precision of a quadrature formula is the largest positive integer such that the formula is exact for , for each . ∫ ; ∫ [ ] Trapezoidal rule is exact for (or ). ∫ = . ∫ [ ] .

What is the degree of precision of Simpson's rule?

(1) Simpson's rule has degree of accuracy three. (2) The degree of precision of a quadrature formula is ���� if and only if the error is zero for all polynomials of degree ���� = 0, 1,⋯,����, but is NOT zero for some polynomial of degree ���� + 1.

How do you explain degree of accuracy?

In maths “to an appropriate degree of accuracy” means that the question wants us to present our answer in the same form as the least accurate measure in the question.

What is precision in research?

Precision refers to how close measurements of the same item are to each other. Precision is independent of accuracy. That means it is possible to be very precise but not very accurate, and it is also possible to be accurate without being precise. The best quality scientific observations are both accurate and precise.

What is Simpson's 3/8 rule formula?

Simpson's 3/8 rule, also called Simpson's second rule, requires one more function evaluation inside the integration range and gives lower error bounds, but does not improve on order of the error. Simpson's 1/3 and 3/8 rules are two special cases of closed Newton–Cotes formulas.

What is the degree of precision of trapezoidal rule Mcq?

Trapezoidal Rule MCQ Question 3 Detailed Solution It fits for a 1-degree (linear) polynomial.

What is Simpson's 1/3rd rule?

Simpson's 1/3 Rule Simpson's 1/3rd rule is an extension of the trapezoidal rule in which the integrand is approximated by a second-order polynomial. Simpson rule can be derived from the various way using Newton's divided difference polynomial, Lagrange polynomial and the method of coefficients.

Does Simpson's rule overestimate?

Also the sum is multiplied by one-third of the width of each interval. Unlike the trapezoid and midpoint rules, where at least for curves of a given concavity, we can say whether or not the rule gives an overestimate or an underestimate, we have no such clear result for Simpson's rule.

What is the precision of a measurement?

What is Precision? Precision is defined as 'the quality of being exact' and refers to how close two or more measurements are to each other, regardless of whether those measurements are accurate or not.

What is degree of accuracy of a solution?

Solution. Degree of accuracy: It means that we can measure a quantity, without any error of estimation. In an experiment, all observations should be taken with some degree of accuracy.

Why is the degree of accuracy important?

The degree of accuracy used in the estimation of various material quantities used in the construction is crucial. This is to prevent cost estimate errors due to lack of proper accuracy and time consuming because of considering great accuracy which is not practical.

What is the difference between accuracy and precision?

A number that is not accurate but precise. A number that is precise and accurate. Precision is the amount of information that is conveyed by a value . Whereas Accuracy is the measure of correctness of the value in correlation with the information.

Is 3.2 kg a precision?

If you weigh an object five times and you get 3.2 kg every time, then your measurement is very precise. Precision refers to a value in decimal numbers after the whole number, and it does not relate with accuracy. The concepts of accuracy and precision are almost related, and it is easy to get confused. Precision is a number that shows an amount of ...

What is precision in science?

But precision describes a measurement system—that is, how good it is at giving the same result every time it measures the same thing. This may be why even nonscientists now often speak of "precision instruments" for measuring, "precision landings" made by airplanes, "precision drilling" for natural gas, and so on.

What is chromaticity in science?

Validation experiments to mimic lighting, display and sensing applications demonstrated that chromaticity, a measure of colorfulness separate from brightness, could be controlled with much more precision than the human eye can detect.

Is precision a synonym for accuracy?

Many of us often use precision and accuracy as synonyms, but not scientists and engineers. For them, accuracy describes a particular measurement—that is, how close it is to the truth. But precision describes a measurement system—that is, how good it is at giving the same result every time it measures the same thing.

What is precision in science?

Use the word precision correctly. Precision is a term that describes the level of repeatability of measurements. When collecting a group of data, either by measurement or through an experiment of some kind, the precision describes how close together the results of each measurement or experiment are going to be.

What does precision mean in math?

Learn more... Precision means that a measurement using a particular tool or implement produces similar results every single time it is used. For example, if you step on a scale five times in a row, a precise scale would give you the same weight each time.

Why is it important to know the precision of a data set?

In math and science, calculating precision is essential to determine if your tools and measurements work well enough to get good data. You can report precision of any data set using the range of values, the average deviation, or the standard deviation. Steps.

How to determine the highest measured value?

Determine the highest measured value. It helps to begin by sorting your data in numerical order, from lowest to highest. This will ensure that you do not miss any values. Then select the value at the end of the list.

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 Version345msRequest Duration2MBMemory UsageGET {post}Route
  • warninglog[08:10:20] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[08:10:20] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[08:10:20] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
  • warninglog[08:10:20] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[08:10:20] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[08:10:20] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[08:10:20] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[08:10:20] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[08:10:20] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • Booting (12.05ms)
  • Application (333ms)
  • 1 x Application (96.4%)
    332.52ms
    1 x Booting (3.49%)
    12.05ms
    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 executed311ms
    • select * from `posts` where `published_at` <= '2025-06-11 08:10:20' and `slug` = 'what-is-the-degree-of-precision' and `posts`.`deleted_at` is null limit 1
      4.03ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
      Metadata
      Bindings
      • 0. 2025-06-11 08:10:20
      • 1. what-is-the-degree-of-precision
      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` = 192368 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
      13.27msmiddleware::checkdate:30receivinghelpdeskask
      Metadata
      Bindings
      • 0. 192368
      • 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
      610μs/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
      620μs/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
      340μs/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` = 31964 limit 1
      1.37msview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
      Metadata
      Bindings
      • 0. 31964
      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
        V17KsLdH7y0hVL517x41RkVTGcqtCUv15mnjHpKj
        _previous
        array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-the-degree-of-precision" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /what-is-the-degree-of-precision
        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=71146bd694f49145.1749609603.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6ImxPWE83K05sT0t4T0RVNFAweXBzMkE9PSIsInZhbHVlIjoicnAvM0E3TUVHbUNDcFpGcDFVWkhDSTJlUUFpdVFnUFdJcnIvVDZjTE0yaG04SG9CTlpJS0doQzhtU2FpQlBJQzVoeWhwN2ZyZVVYMFlXUmkzVEdvNXhjallQbUo0SzBaL1JFeXBnTXp2YXZNY2ZUWG5veHVCWUZybWtncGIrTmoiLCJtYWMiOiJhYjIyZTQ5Mjk2MWI5MTdmYjRjMTk1YzkwOTQ0N2MxNDFhMzJjYWM4OTA0NDQyOWQyZTJkYzg5NWI3MGVlZTZkIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6IkhES0hhTFQrTjBYcEg3Uzd1a25zeEE9PSIsInZhbHVlIjoiTHNqVlMya2h4WHY3R25YNzVjYUtLendGUFQ3SFpQb2tYV2xaaUhjdnAwZVRxd0UvTHZpZWdVS001SjVOdk1MaXlOakoraVBSdFl2Wm1wT0ZuYXBQMDNxUG1hM1A2R1BrbUJlNGlxSlZXRjJMWU92TWtaaVFMbFFuQjRKdjZYZ3QiLCJtYWMiOiIxMTk4ZjgxZjYxMmI3ZWIwM2Q2OTMzMDhiY2JmNDE2YmEzNDFlYzg1YzE5MjU5YjJmNWZhNjg5ZWUzMmMxZTE5IiwidGFnIjoiIn0%3D; _pk_id.63.7c30=387ffe38bcd122d2.1749609617.; _pk_ses.63.7c30=1_pk_id.64.7c30=71146bd694f49145.1749609603.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6ImxPWE83K05sT0t4T0RVNFAweXBzMkE9PSIsInZhbHVlIjoicnAvM0E3TUVHbUNDcFpGcDFVWkhDS" ] "cf-ipcountry" => array:1 [ 0 => "US" ] "cf-connecting-ip" => array:1 [ 0 => "216.73.216.36" ] "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 => "94ddbe41680e5d77-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 => "216.73.216.36, 172.69.6.223" ] "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-is-the-degree-of-precision" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/what-is-the-degree-of-precision" "REMOTE_PORT" => "44134" "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" => "172.69.6.223" "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=71146bd694f49145.1749609603.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6ImxPWE83K05sT0t4T0RVNFAweXBzMkE9PSIsInZhbHVlIjoicnAvM0E3TUVHbUNDcFpGcDFVWkhDSTJlUUFpdVFnUFdJcnIvVDZjTE0yaG04SG9CTlpJS0doQzhtU2FpQlBJQzVoeWhwN2ZyZVVYMFlXUmkzVEdvNXhjallQbUo0SzBaL1JFeXBnTXp2YXZNY2ZUWG5veHVCWUZybWtncGIrTmoiLCJtYWMiOiJhYjIyZTQ5Mjk2MWI5MTdmYjRjMTk1YzkwOTQ0N2MxNDFhMzJjYWM4OTA0NDQyOWQyZTJkYzg5NWI3MGVlZTZkIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6IkhES0hhTFQrTjBYcEg3Uzd1a25zeEE9PSIsInZhbHVlIjoiTHNqVlMya2h4WHY3R25YNzVjYUtLendGUFQ3SFpQb2tYV2xaaUhjdnAwZVRxd0UvTHZpZWdVS001SjVOdk1MaXlOakoraVBSdFl2Wm1wT0ZuYXBQMDNxUG1hM1A2R1BrbUJlNGlxSlZXRjJMWU92TWtaaVFMbFFuQjRKdjZYZ3QiLCJtYWMiOiIxMTk4ZjgxZjYxMmI3ZWIwM2Q2OTMzMDhiY2JmNDE2YmEzNDFlYzg1YzE5MjU5YjJmNWZhNjg5ZWUzMmMxZTE5IiwidGFnIjoiIn0%3D; _pk_id.63.7c30=387ffe38bcd122d2.1749609617.; _pk_ses.63.7c30=1_pk_id.64.7c30=71146bd694f49145.1749609603.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6ImxPWE83K05sT0t4T0RVNFAweXBzMkE9PSIsInZhbHVlIjoicnAvM0E3TUVHbUNDcFpGcDFVWkhDS" "HTTP_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "216.73.216.36" "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" => "94ddbe41680e5d77-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" => "216.73.216.36, 172.69.6.223" "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" => 1749609620.7211 "REQUEST_TIME" => 1749609620 ]
        request_cookies
        0 of 0
        array:6 [ "_pk_id_64_7c30" => null "_pk_ses_64_7c30" => null "XSRF-TOKEN" => "V17KsLdH7y0hVL517x41RkVTGcqtCUv15mnjHpKj" "askhelpdesk_session" => "XCYUUK3jdCuolchTn3TAUrnlrfPcd2doqlijCvZo" "_pk_id_63_7c30" => null "_pk_ses_63_7c30" => null ]
        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 => "Wed, 11 Jun 2025 02:40:20 GMT" ] "pragma" => array:1 [ 0 => "no-cache" ] "expires" => array:1 [ 0 => -1 ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjZQZGUwWUlJa05ZR21YdG5kSUhadWc9PSIsInZhbHVlIjoiNkZRbmQ2SVhlT1FDWTZkclRrTW5CRzZvbzJpYnVxdm9pYVVCenRLMFRPOGNDcXB4bmFYL2tlQnhlRkptZzQra3BjNU9WZklFT1B4QTNKazdWbDV2azY5MGFMYzNYWXVkR2V0K3lXczRZSDlldWVwTnU3SDV2UlpFWHBhNGZ2RHciLCJtYWMiOiI4N2JjZDhjMjc4NDE3NjQ5YWMyMmZmZmVkZjQxOGUyNTJjM2JjZDFkYWMyYTk0MGE0YWNjZThhYzI2MGFhNzIxIiwidGFnIjoiIn0%3D; expires=Wed, 11-Jun-2025 04:40:21 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IjZQZGUwWUlJa05ZR21YdG5kSUhadWc9PSIsInZhbHVlIjoiNkZRbmQ2SVhlT1FDWTZkclRrTW5CRzZvbzJpYnVxdm9pYVVCenRLMFRPOGNDcXB4bmFYL2tlQnhlRkptZzQra3BjNU9WZ" 1 => "askhelpdesk_session=eyJpdiI6IjhJK2FRUW4zNEs0L1FpYjJsY1EvWmc9PSIsInZhbHVlIjoiR3FFdXQwTE1vbzVjNGs1UW9Hd0pWOE85dFc2QnpORE0yU3ptREJKbURTYklzcUVFejJNelZWVTVkK1F1RzZ0YzZEWHZKYUpMOUFJNml6R3BTbUtWNmRsTyt2RW1LdnZaQkhrNlRVTnVUK3RYVGFkM3ZHVjVmbFdGQ3RGT1h5VmgiLCJtYWMiOiI0NDg2YTRkZTNkZjcxZjdmNDAyODFkOThjNWUzMTRlODVhMDI2NjA3NDczZmM0MzBiOTI4NzE0ODY2ODJkMDRmIiwidGFnIjoiIn0%3D; expires=Wed, 11-Jun-2025 04:40:21 GMT; Max-Age=7200; path=/; httponly; samesite=laxaskhelpdesk_session=eyJpdiI6IjhJK2FRUW4zNEs0L1FpYjJsY1EvWmc9PSIsInZhbHVlIjoiR3FFdXQwTE1vbzVjNGs1UW9Hd0pWOE85dFc2QnpORE0yU3ptREJKbURTYklzcUVFejJNelZWVTVkK1F1RzZ0" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjZQZGUwWUlJa05ZR21YdG5kSUhadWc9PSIsInZhbHVlIjoiNkZRbmQ2SVhlT1FDWTZkclRrTW5CRzZvbzJpYnVxdm9pYVVCenRLMFRPOGNDcXB4bmFYL2tlQnhlRkptZzQra3BjNU9WZklFT1B4QTNKazdWbDV2azY5MGFMYzNYWXVkR2V0K3lXczRZSDlldWVwTnU3SDV2UlpFWHBhNGZ2RHciLCJtYWMiOiI4N2JjZDhjMjc4NDE3NjQ5YWMyMmZmZmVkZjQxOGUyNTJjM2JjZDFkYWMyYTk0MGE0YWNjZThhYzI2MGFhNzIxIiwidGFnIjoiIn0%3D; expires=Wed, 11-Jun-2025 04:40:21 GMT; path=/XSRF-TOKEN=eyJpdiI6IjZQZGUwWUlJa05ZR21YdG5kSUhadWc9PSIsInZhbHVlIjoiNkZRbmQ2SVhlT1FDWTZkclRrTW5CRzZvbzJpYnVxdm9pYVVCenRLMFRPOGNDcXB4bmFYL2tlQnhlRkptZzQra3BjNU9WZ" 1 => "askhelpdesk_session=eyJpdiI6IjhJK2FRUW4zNEs0L1FpYjJsY1EvWmc9PSIsInZhbHVlIjoiR3FFdXQwTE1vbzVjNGs1UW9Hd0pWOE85dFc2QnpORE0yU3ptREJKbURTYklzcUVFejJNelZWVTVkK1F1RzZ0YzZEWHZKYUpMOUFJNml6R3BTbUtWNmRsTyt2RW1LdnZaQkhrNlRVTnVUK3RYVGFkM3ZHVjVmbFdGQ3RGT1h5VmgiLCJtYWMiOiI0NDg2YTRkZTNkZjcxZjdmNDAyODFkOThjNWUzMTRlODVhMDI2NjA3NDczZmM0MzBiOTI4NzE0ODY2ODJkMDRmIiwidGFnIjoiIn0%3D; expires=Wed, 11-Jun-2025 04:40:21 GMT; path=/; httponlyaskhelpdesk_session=eyJpdiI6IjhJK2FRUW4zNEs0L1FpYjJsY1EvWmc9PSIsInZhbHVlIjoiR3FFdXQwTE1vbzVjNGs1UW9Hd0pWOE85dFc2QnpORE0yU3ptREJKbURTYklzcUVFejJNelZWVTVkK1F1RzZ0" ] ]
        session_attributes
        0 of 0
        array:4 [ "_token" => "V17KsLdH7y0hVL517x41RkVTGcqtCUv15mnjHpKj" "_previous" => array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-the-degree-of-precision" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]