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Control Theory

Control Theory

Control theory is a field of applied mathematics that did not become its own field until the late 1950s and early 1960s due to problems within economics and engineering. These problems were considered to be deviant from issues in differential equations and the calculus of variations. Originally, modifications of classical techniques such as calculus of variations and differential equations were used to solve problems, but eventually it was realized that these issues all had the same mathematical structure.

Control theory as a science corresponds to the control and regulation of machines, muscular coordination, metabolic processes within biological organisms, and design of prostheses. It also relates to broader aspects of coordinated activity within society such as optimization of business operations, control of economic activity by government policies, and regulation of political decisions by democratic processes. Control theory can be seen as the science of modifying its environment in the physical, biological, and social sense.

Control theory studies the behavior of dynamical systems that take inputs. Reference is the term used when referring to external inputs given to a system. A control is used to manipulate the inputs given to a system when one or more output variables are needed to follow a particular reference to obtain the effect on the system’s output.

The four functions of control theory include measure, compare, compute, and correct, which are completed by these five main elements - detector, transducer, transmitter, controller, and final control element. The detector, transducer, and transmitter are part of one unit as they comprise the measuring function. The controller completes the compare and compute functions which are used electronically by proportional control, PID controller, PI controller, or programmable logic controller. The final control function completes the correct function which is responsible for changing an input and output in a control system that affects the controlled variable.

Some examples of modern control systems include machines that cannot work without feedback control, control of machines, control of large systems, biocontrol, and robots. Many devices must be made in such a way that their behavior can be modified by way of an external control. For example, transistor amplifiers produce intolerable distortion in sound systems when used by themselves, but when modified by a feedback control can achieve a desired degree of fidelity (the degree to which an electronic device accurately reproduces its effect). Jet aircraft cannot be operated without automatic control to aid the pilot.

Using machines to perform tasks can be directed manually but may be more convenient to the user when machines are directly connected to the measuring instrument, such as when a thermostat is used to turn on or off a refrigerator, oven, air conditioning unit, or heating system. Dimming headlights for cars, settings for the diaphragm of a camera, and finding the correct exposure for color prints can be automatically completed by connecting a photocell to the machine.

Places such as power plants, oil refineries, and chemical factories can be controlled and monitored manually but it is considered more feasible to use automatic controls to make systems work more efficiently. Biocontrol such as controlling artificial hearts or kidneys, nerve controlled prosthetic devices, and controlling brain functions by combining artificial biology and natural technology is still a work in progress because of the lack of knowledge about control principles being employed in the natural world. Pattern recognition and insight into thought processes has also slowed the development of robots that engage in purposeful behavior without direct input from humans. Industrial manufacturing robots exist but there need to be more breakthroughs and scientific advances to solve problems with pattern recognition and thought processes.

Sources

https://www.britannica.com/science/control-theory-mathematics; accessed July 26 and 27
http://www.mathcaptain.com/applied-mathematics/control-theory.html; accessed July 26 and 27

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4 x eloquent.retrieved: App\Models\Twill\TwillFaq (0.03%)	359μs
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1 x eloquent.booting: App\Models\User\Tutor (0.02%)	315μs
1 x creating: site.blocks.text-with-image (0.02%)	308μs
6 x eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (0.02%)	301μs
4 x composing: components.faq-item (0.02%)	280μs
1 x creating: components.breadcrumbs (0.02%)	274μs
1 x creating: components.homework-blocks (0.02%)	270μs
1 x creating: site.blocks.work-with-tutors (0.02%)	258μs
1 x creating: components.forms.contact-us (0.02%)	249μs
1 x creating: components.tutors-cards (0.02%)	238μs
1 x creating: site.layouts.app (0.02%)	232μs
6 x eloquent.retrieved: App\Models\User\Tutor (0.02%)	230μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)	223μs
1 x eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (0.02%)	210μs
6 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)	208μs
1 x composing: subjects.show (0.02%)	205μs
1 x eloquent.booted: App\Models\User\Tutor (0.01%)	190μs
1 x eloquent.booting: App\Models\Meta (0.01%)	187μs
1 x composing: components.forms.contact-us (0.01%)	177μs
1 x eloquent.booting: App\Models\Twill\TwillFaq (0.01%)	161μs
1 x creating: components.open-graph (0.01%)	161μs
1 x eloquent.booted: App\Models\Twill\TwillFaq (0.01%)	157μs
1 x creating: components.forms.tutor-subscription-waitlist (0.01%)	157μs
1 x creating: site.blocks.subject-tutors (0.01%)	145μs
1 x creating: site.blocks.submit-homework (0.01%)	142μs
1 x creating: components.forms.get-started (0.01%)	141μs
1 x composing: components.breadcrumbs (0.01%)	140μs
1 x creating: components.forms.claim-free-worksheet (0.01%)	126μs
1 x creating: subjects.show (0.01%)	125μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.01%)	120μs
1 x creating: site.blocks.faq (0.01%)	117μs
1 x composing: components.tutors-cards (0.01%)	116μs
1 x creating: components.forms.tutor-subscription-join (0.01%)	115μs
1 x composing: components.homework-blocks (0.01%)	105μs
1 x eloquent.booting: App\Models\SubjectCat (0.01%)	104μs
1 x creating: components.forms.free-tool-download (0.01%)	101μs
1 x creating: components.forms.tutor-support (0.01%)	99μs
1 x composing: components.footer (0.01%)	96μs
1 x composing: components.forms.get-started (0.01%)	85μs
1 x creating: components.footer (0.01%)	85μs
1 x composing: components.canonical (0.01%)	80μs
1 x eloquent.retrieved: App\Models\Meta (0.01%)	79μs
1 x composing: site.headers.header (0.01%)	72μs
1 x eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (0.01%)	71μs
1 x eloquent.booted: App\Models\Subject (0.01%)	69μs
1 x composing: components.open-graph (0.01%)	69μs
1 x composing: components.forms.tutor-support (0.01%)	67μs
1 x composing: components.forms.tutor-subscription-waitlist (0.01%)	67μs
1 x eloquent.booted: App\Models\User\TutorAttributes\TutorDegree (0.01%)	66μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	65μs
1 x eloquent.booted: App\Models\Meta (0.01%)	64μs
1 x composing: components.forms.free-tool-download (0%)	62μs
1 x eloquent.booted: App\Models\SubjectCat (0%)	60μs
1 x composing: components.forms.tutor-subscription-join (0%)	60μs
1 x composing: site.blocks.how-it-works (0%)	23μs
1 x composing: site.blocks.subject-homework (0%)	22μs
1 x composing: site.blocks.reviews (0%)	22μs
1 x composing: site.blocks.text-with-image (0%)	22μs
1 x composing: site.blocks.subject-tutors (0%)	20μs
1 x composing: site.blocks.submit-homework (0%)	19μs
1 x composing: site.blocks.work-with-tutors (0%)	19μs
1 x composing: site.layouts.app (0%)	19μs
1 x composing: site.blocks.faq (0%)	18μs

34 templates were rendered

1x subjects.showshow.blade.phpblade
1x components.breadcrumbsbreadcrumbs.blade.phpblade
1x site.blocks.how-it-workshow-it-works.blade.phpblade
1x site.blocks.subject-tutorssubject-tutors.blade.phpblade
1x components.tutors-cardstutors-cards.blade.phpblade
6x components.tutors-cardtutors-card.blade.phpblade
1x site.blocks.subject-homeworksubject-homework.blade.phpblade
1x components.homework-blockshomework-blocks.blade.phpblade
1x site.blocks.reviewsreviews.blade.phpblade
1x site.blocks.submit-homeworksubmit-homework.blade.phpblade
1x site.blocks.faqfaq.blade.phpblade
4x components.faq-itemfaq-item.blade.phpblade
1x site.blocks.text-with-imagetext-with-image.blade.phpblade
1x site.blocks.work-with-tutorswork-with-tutors.blade.phpblade
1x site.layouts.appapp.blade.phpblade
1x components.canonicalcanonical.blade.phpblade
1x components.open-graphopen-graph.blade.phpblade
1x site.headers.headerheader.blade.phpblade
1x components.footerfooter.blade.phpblade
1x components.forms.contact-uscontact-us.blade.phpblade
1x components.forms.get-startedget-started.blade.phpblade
1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
1x components.forms.tutor-supporttutor-support.blade.phpblade

uri: GET subjects/{categoryUri}/{subjectUri?}
middleware: web, utm.parameters
controller: App\Http\Controllers\SubjectController@show
namespace
where
as: subjects.show
file: app/Http/Controllers/SubjectController.php:43-96

25 statements were executed, 2 of which were duplicates, 23 unique. Show only duplicated111ms

Connection Establishedtwenty4_siteSubjectRepository.php#123

Backtrace

13. app/Repositories/SubjectRepository.php:123
14. app/Http/Controllers/SubjectController.php:54
15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `subjects` where `urlFriendlyTitle` = 'Control-Theory' limit 1

9.63mstwenty4_siteSubjectRepository.php#123

Bindings	0: Control-Theory
Backtrace	15. app/Repositories/SubjectRepository.php:123 16. app/Http/Controllers/SubjectController.php:54 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `subject_cats` where `subject_cats`.`id` in (1)

1.03mstwenty4_siteSubjectRepository.php#123

Backtrace

20. app/Repositories/SubjectRepository.php:123
21. app/Http/Controllers/SubjectController.php:54
22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `meta` where `meta`.`id` = 3 limit 1

930μstwenty4_siteMetaService.php#118

Bindings	0: 3
Backtrace	19. app/Services/MetaService.php:118 20. app/Services/MetaService.php:108 21. app/Services/MetaService.php:81 22. app/Http/Controllers/SubjectController.php:89 23. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54

Connection Establishedtwenty4_siteTutorRepository.php#40

Backtrace

13. app/Repositories/TutorRepository.php:40
14. app/View/Components/TutorsCards.php:28
15. app/View/Components/TutorsCards.php:22
17. vendor/laravel/framework/src/Illuminate/Container/Container.php:929
18. vendor/laravel/framework/src/Illuminate/Container/Container.php:770

select count(*) as aggregate from `users` where (`subjectsQualified` like '%|229|%' or `DSF_subjectsQualified` like '%|229|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor'

23.87mstwenty4_siteTutorsCards.php#35

Bindings	0: %\|229\|% 1: %\|229\|% 2: 1 3: 0 4: 5: 1 6: 0 7: 0 8: 9: tutor
Backtrace	15. app/View/Components/TutorsCards.php:35 16. app/View/Components/TutorsCards.php:22 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:929 19. vendor/laravel/framework/src/Illuminate/Container/Container.php:770 20. vendor/laravel/framework/src/Illuminate/Foundation/Application.php:933

select * from `users` where (`subjectsQualified` like '%|229|%' or `DSF_subjectsQualified` like '%|229|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor' order by `completed_requests` desc limit 6 offset 0

11.9mstwenty4_siteTutorsCards.php#35

Bindings	0: %\|229\|% 1: %\|229\|% 2: 1 3: 0 4: 5: 1 6: 0 7: 0 8: 9: tutor
Backtrace	15. app/View/Components/TutorsCards.php:35 16. app/View/Components/TutorsCards.php:22 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:929 19. vendor/laravel/framework/src/Illuminate/Container/Container.php:770 20. vendor/laravel/framework/src/Illuminate/Foundation/Application.php:933

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 2821 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

1.03mstwenty4_siteTutor.php#361

Bindings	0: 2821
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 6531 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

9.86mstwenty4_siteTutor.php#361

Bindings	0: 6531
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 76351 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

1.99mstwenty4_siteTutor.php#361

Bindings	0: 76351
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 119493 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

1.11mstwenty4_siteTutor.php#361

Bindings	0: 119493
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 96652 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

18.73mstwenty4_siteTutor.php#361

Bindings	0: 96652
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 76592 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

3.17mstwenty4_siteTutor.php#361

Bindings	0: 76592
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (142, 50, 15, 130, 128, 144, 114, 354, 72, 54, 355, 346, 52, 395, 309, 334, 2, 133, 1, 123, 229, 10, 257, 9, 396, 73, 347, 67, 48, 4, 325, 14, 394, 7, 226, 49, 269, 299)

9.38mstwenty4_siteTutor.php#214

Bindings	0: 142 1: 50 2: 15 3: 130 4: 128 5: 144 6: 114 7: 354 8: 72 9: 54 10: 355 11: 346 12: 52 13: 395 14: 309 15: 334 16: 2 17: 133 18: 1 19: 123 20: 229 21: 10 22: 257 23: 9 24: 396 25: 73 26: 347 27: 67 28: 48 29: 4 30: 325 31: 14 32: 394 33: 7 34: 226 35: 49 36: 269 37: 299
Backtrace	14. app/Models/User/Tutor.php:214 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Models/User/Tutor.php:216 24. app/Models/User/Tutor.php:267

select * from `subject_cats` where `subject_cats`.`id` in (1, 3, 10, 34)

1.38mstwenty4_siteTutor.php#214

Backtrace

19. app/Models/User/Tutor.php:214
20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
23. app/Models/User/Tutor.php:216
29. app/Models/User/Tutor.php:267

select count(*) as aggregate from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 229 and `status` = 'published' and `price` > 0

1.16mstwenty4_siteHomeworkBlocks.php#27

Bindings	0: 229 1: published 2: 0
Backtrace	15. app/View/Components/HomeworkBlocks.php:27 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.subject-homework:4 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 229 and `status` = 'published' and `price` > 0 order by `purchase_count` desc limit 6 offset 0

1.92mstwenty4_siteHomeworkBlocks.php#27

Bindings	0: 229 1: published 2: 0
Backtrace	15. app/View/Components/HomeworkBlocks.php:27 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.subject-homework:4 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `subjects` where `subjects`.`id` in (229)

1.52mstwenty4_siteHomeworkBlocks.php#27

Backtrace

20. app/View/Components/HomeworkBlocks.php:27
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.subject-homework:4
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `subject_cats` where `subject_cats`.`id` in (1)

2.58mstwenty4_siteHomeworkBlocks.php#27

Backtrace

25. app/View/Components/HomeworkBlocks.php:27
26. vendor/laravel/framework/src/Illuminate/View/Component.php:102
27. view::site.blocks.subject-homework:4
29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-homework-in-less-than-24-hours' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

2.21mstwenty4_siteFaqItem.php#15

Bindings	0: can-you-help-me-with-my-homework-in-less-than-24-hours 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:7 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (1) and `twill_faq_slugs`.`deleted_at` is null

1.02mstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:7
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-examquiztest' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

1.06mstwenty4_siteFaqItem.php#15

Bindings	0: can-you-help-me-with-my-examquiztest 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:24 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (2) and `twill_faq_slugs`.`deleted_at` is null

1.08mstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:24
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'how-much-will-it-cost' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

1.2mstwenty4_siteFaqItem.php#15

Bindings	0: how-much-will-it-cost 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:41 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (3) and `twill_faq_slugs`.`deleted_at` is null

1.01mstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:41
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'what-kind-of-payments-do-you-accept' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

1.09mstwenty4_siteFaqItem.php#15

Bindings	0: what-kind-of-payments-do-you-accept 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:58 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (4) and `twill_faq_slugs`.`deleted_at` is null

1.02mstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:58
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

App\Models\Subject: 40Subject.php
App\Models\SubjectCat: 6SubjectCat.php
App\Models\User\Tutor: 6Tutor.php
App\Models\HomeworkLibrary\HomeworkLibrary: 6HomeworkLibrary.php
App\Models\Twill\Slugs\TwillFaqSlug: 6TwillFaqSlug.php
App\Models\Twill\TwillFaq: 4TwillFaq.php
App\Models\Meta: 1Meta.php

_token: DgzHyNd6IrPkuzIvyATFyaIqlifBYoGpJnIOsJKh
utm_source: direct
_previous: array:1 [ "url" => "https://staging.dev.24houranswers.com/subjects/Mathematics/Control-Theory" ]
_flash: array:2 [ "old" => [] "new" => [] ]
PHPDEBUGBAR_STACK_DATA: []

path_info

/subjects/Mathematics/Control-Theory

status_code

status_text

format

html

content_type

text/html; charset=UTF-8

request_query

[]

request_request

[]

request_headers

  0 of 0   
array:21 [▼
  "priority" => array:1 [▶
    0 => "u=0, i"
  ]
  "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"
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