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ionut
Ionut
(ionut)
Hi! MSc Applied Informatics & Computer Science Engineer. Practical experience in many CS & IT branches.Research work & homework
5/5(5,654+ sessions)
2 hours avg response
Leo
Leo
(Leo)
Hi! I have been a professor in New York and taught in a math department and in an applied math department.
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2 hours avg response
math1983
Pranay
(math1983)
Ph.D. in mathematics and working as an Assistant Professor in University. I can provide help in mathematics, statistics and allied areas.
4.6/5(5,512+ sessions)
1 hour avg response
Expert25
Le Hoang
(Expert25)
I'm good at Computer Science. I always provide detailed answers to questions that students may have while reading my solutions.
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40 minutes avg response
duova
Alec
(duova)
I am a technologist and teacher with background and expertise in Computer Science, Electrical Engineering, Physics, and Mathematics.
4.9/5(3,183+ sessions)
57 minutes avg response
PhysMath18
Israel
(PhysMath18)
Offering help to undergraduate, graduate, and postgraduate students in subjects involving Math, Physics, and Computation.
5/5(2,968+ sessions)
3 minutes avg response
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Discrete Math

Discrete math, also known as “math for computer science” is usually a required course for students of computer science. The material typically covered in this class for CS students overlaps with fields such as cryptography, logic, information theory, theoretical computer science, artificial intelligence, design of algorithms, and others, and teaches the basic language and structures used by computer scientists. Sometimes discrete math is listed as a mathematics course. As a math class, it mainly deals with other abstract concepts (algebra, groups, or combinatorics) with a correspondingly heavier focus on proofs. A common characteristic of these classes is that for most students this is their first encounter with mathematical structures and proof. Unlike, for example, calculus classes, there is no commonly accepted definition or syllabus for this course and its content varies by school. The goal of this topic is to provide important representation models for data sets. This class provides ways for refining the original data model to something more easily understandable in respect to 1) representation format and 2) operations that can be executed on discrete data.  

Most discrete math – computer science classes cover the following topics in some order and with varying degree of depth:

  • Basics of logic and mathematical proof (proof by contradiction, proof by induction)
  • Set theory and notation
  • Representation of integers (bits, bitstring Boolean algebra)
  • Basic number theory, computing modules and integer definitions of relations (what is a relational data base? A hash table?), and functions
  • Basics of graph theory – directed and undirected graphs, useful to understand networking and telecommunications
  • Introduction to methods of counting – permutations, combinations etc.
  • Combinatorics
  • Algorithms – for example sorting algorithms
  • Algorithm complexity and estimation of run time – Big O Notation
  • Computational Models, finite state machines, pseudocode – basic principles of programming
  • Methods of encryption and secure communication – for example RSA algorithms- an introduction to cryptography

 

To fulfill our tutoring mission of online education, our college homework help and online tutoring centers are standing by 24/7, ready to assist college students who need homework help with all aspects of discrete math - computer science. Our computer science tutors can help with all your projects, large or small, and we challenge you to find better online discrete math tutoring anywhere.

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College Discrete Math Homework Help

Since we have tutors in all Discrete Math related topics, we can provide a range of different services. Our online Discrete Math tutors will:

  • Provide specific insight for homework assignments.
  • Review broad conceptual ideas and chapters.
  • Simplify complex topics into digestible pieces of information.
  • Answer any Discrete Math related questions.
  • Tailor instruction to fit your style of learning.

With these capabilities, our college Discrete Math tutors will give you the tools you need to gain a comprehensive knowledge of Discrete Math you can use in future courses.

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      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (96μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (152μs)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (143μs)
      • Illuminate\Cache\Events\CacheHit (130μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (98μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (89μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (130μs)
      • Illuminate\Cache\Events\CacheHit (98μs)
      • Illuminate\Cache\Events\CacheHit (109μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (96μs)
      • Illuminate\Cache\Events\CacheHit (113μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • creating: components.tutors-card (509μs)
      • composing: components.tutors-card (89μs)
      • Illuminate\Database\Events\StatementPrepared (1.24ms)
      • Illuminate\Database\Events\QueryExecuted (817μs)
      • Illuminate\Cache\Events\CacheHit (286μs)
      • Illuminate\Cache\Events\CacheHit (1.22ms)
      • Illuminate\Cache\Events\CacheHit (527μs)
      • Illuminate\Cache\Events\CacheHit (125μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (239μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (98μs)
      • Illuminate\Cache\Events\CacheHit (110μs)
      • Illuminate\Cache\Events\CacheHit (96μs)
      • Illuminate\Cache\Events\CacheHit (109μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (113μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (250μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (298μs)
      • Illuminate\Cache\Events\CacheHit (154μs)
      • Illuminate\Cache\Events\CacheHit (101μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (110μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (139μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (130μs)
      • Illuminate\Cache\Events\CacheHit (100μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (125μs)
      • Illuminate\Cache\Events\CacheHit (99μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (101μs)
      • Illuminate\Cache\Events\CacheHit (114μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (109μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (96μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (104μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (96μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • Illuminate\Cache\Events\CacheHit (122μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (132μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (134μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (123μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (123μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (104μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (102μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • creating: components.tutors-card (465μs)
      • composing: components.tutors-card (47μs)
      • Illuminate\Database\Events\StatementPrepared (985μs)
      • Illuminate\Database\Events\QueryExecuted (824μs)
      • Illuminate\Cache\Events\CacheHit (285μs)
      • Illuminate\Cache\Events\CacheHit (765μs)
      • Illuminate\Cache\Events\CacheHit (447μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (134μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (678μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (148μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (101μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (99μs)
      • Illuminate\Cache\Events\CacheHit (123μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (109μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (103μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (103μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (101μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (101μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (98μs)
      • Illuminate\Cache\Events\CacheHit (114μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (101μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (98μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (154μs)
      • Illuminate\Cache\Events\CacheHit (134μs)
      • Illuminate\Cache\Events\CacheHit (100μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • creating: components.tutors-card (387μs)
      • composing: components.tutors-card (44μs)
      • Illuminate\Database\Events\StatementPrepared (887μs)
      • Illuminate\Database\Events\QueryExecuted (735μs)
      • Illuminate\Cache\Events\CacheHit (339μs)
      • Illuminate\Cache\Events\CacheHit (5.29ms)
      • Illuminate\Cache\Events\CacheHit (703μs)
      • Illuminate\Cache\Events\CacheHit (248μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (100μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (100μs)
      • Illuminate\Cache\Events\CacheHit (110μs)
      • Illuminate\Cache\Events\CacheHit (96μs)
      • Illuminate\Cache\Events\CacheHit (109μs)
      • Illuminate\Cache\Events\CacheHit (96μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (122μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (109μs)
      • Illuminate\Cache\Events\CacheHit (96μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (103μs)
      • Illuminate\Cache\Events\CacheHit (122μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (98μs)
      • Illuminate\Cache\Events\CacheHit (110μs)
      • Illuminate\Cache\Events\CacheHit (96μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (109μs)
      • Illuminate\Cache\Events\CacheHit (113μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (113μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (109μs)
      • Illuminate\Cache\Events\CacheHit (96μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (287μs)
      • Illuminate\Cache\Events\CacheHit (141μs)
      • Illuminate\Cache\Events\CacheHit (100μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (109μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (93μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (127μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (143μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (260μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (99μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (92μs)
      • Illuminate\Cache\Events\CacheHit (122μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (93μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (99μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (130μs)
      • Illuminate\Cache\Events\CacheHit (127μs)
      • Illuminate\Cache\Events\CacheHit (114μs)
      • Illuminate\Cache\Events\CacheHit (100μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (98μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (143μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (96μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (96μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (151μs)
      • Illuminate\Cache\Events\CacheHit (99μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (97μs)
      • Illuminate\Cache\Events\CacheHit (113μs)
      • Illuminate\Cache\Events\CacheHit (94μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (92μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (99μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (100μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (151μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (104μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (253μs)
      • Illuminate\Cache\Events\CacheHit (142μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (100μs)
      • Illuminate\Cache\Events\CacheMissed (2.18ms)
      • Illuminate\Database\Events\StatementPrepared (769μs)
      • Illuminate\Database\Events\QueryExecuted (955μs)
      • eloquent.retrieved: App\Models\SubjectCat (111μs)
      • Illuminate\Cache\Events\KeyWritten (466μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (250μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (110μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (114μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • creating: site.blocks.subject-homework (872μs)
      • composing: site.blocks.subject-homework (17μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (218μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (88μs)
      • Illuminate\Database\Events\StatementPrepared (1.57ms)
      • Illuminate\Database\Events\QueryExecuted (765μs)
      • Illuminate\Database\Events\StatementPrepared (604μs)
      • Illuminate\Database\Events\QueryExecuted (5.14ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (74μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (14μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (9μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (5μs)
      • Illuminate\Database\Events\StatementPrepared (603μs)
      • Illuminate\Database\Events\QueryExecuted (734μs)
      • eloquent.retrieved: App\Models\Subject (58μs)
      • Illuminate\Database\Events\StatementPrepared (594μs)
      • Illuminate\Database\Events\QueryExecuted (806μs)
      • eloquent.retrieved: App\Models\SubjectCat (60μs)
      • creating: components.homework-blocks (169μs)
      • composing: components.homework-blocks (74μs)
      • creating: site.blocks.reviews (604μs)
      • composing: site.blocks.reviews (15μs)
      • creating: site.blocks.submit-homework (107μs)
      • composing: site.blocks.submit-homework (12μs)
      • creating: site.blocks.faq (72μs)
      • composing: site.blocks.faq (11μs)
      • eloquent.booting: App\Models\Twill\TwillFaq (333μs)
      • eloquent.booted: App\Models\Twill\TwillFaq (137μs)
      • eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (168μs)
      • eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (48μs)
      • Illuminate\Database\Events\StatementPrepared (762μs)
      • Illuminate\Database\Events\QueryExecuted (740μs)
      • eloquent.retrieved: App\Models\Twill\TwillFaq (178μs)
      • Illuminate\Database\Events\StatementPrepared (603μs)
      • Illuminate\Database\Events\QueryExecuted (601μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (60μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (13μs)
      • creating: components.faq-item (92μs)
      • composing: components.faq-item (67μs)
      • Illuminate\Database\Events\StatementPrepared (948μs)
      • Illuminate\Database\Events\QueryExecuted (824μs)
      • eloquent.retrieved: App\Models\Twill\TwillFaq (87μs)
      • Illuminate\Database\Events\StatementPrepared (627μs)
      • Illuminate\Database\Events\QueryExecuted (771μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (48μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (13μs)
      • creating: components.faq-item (50μs)
      • composing: components.faq-item (24μs)
      • Illuminate\Database\Events\StatementPrepared (919μs)
      • Illuminate\Database\Events\QueryExecuted (774μs)
      • eloquent.retrieved: App\Models\Twill\TwillFaq (64μs)
      • Illuminate\Database\Events\StatementPrepared (625μs)
      • Illuminate\Database\Events\QueryExecuted (655μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (45μs)
      • creating: components.faq-item (46μs)
      • composing: components.faq-item (26μs)
      • Illuminate\Database\Events\StatementPrepared (810μs)
      • Illuminate\Database\Events\QueryExecuted (691μs)
      • eloquent.retrieved: App\Models\Twill\TwillFaq (66μs)
      • Illuminate\Database\Events\StatementPrepared (535μs)
      • Illuminate\Database\Events\QueryExecuted (719μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (44μs)
      • creating: components.faq-item (44μs)
      • composing: components.faq-item (25μs)
      • creating: site.blocks.text-with-image (159μs)
      • composing: site.blocks.text-with-image (14μs)
      • creating: site.blocks.work-with-tutors (129μs)
      • composing: site.blocks.work-with-tutors (29μs)
      • creating: site.layouts.app (169μs)
      • composing: site.layouts.app (12μs)
      • creating: components.canonical (295μs)
      • composing: components.canonical (57μs)
      • creating: components.open-graph (130μs)
      • composing: components.open-graph (44μs)
      • creating: site.headers.header (215μs)
      • composing: site.headers.header (45μs)
      • Illuminate\Cache\Events\CacheHit (1.29ms)
      • creating: components.footer (59μs)
      • composing: components.footer (58μs)
      • Illuminate\Cache\Events\CacheHit (1.04ms)
      • Illuminate\Cache\Events\CacheHit (357μs)
      • Illuminate\Cache\Events\CacheHit (799μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (137μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (114μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • creating: components.forms.contact-us (181μs)
      • composing: components.forms.contact-us (87μs)
      • creating: components.forms.get-started (242μs)
      • composing: components.forms.get-started (55μs)
      • creating: components.forms.free-tool-download (107μs)
      • composing: components.forms.free-tool-download (66μs)
      • creating: components.forms.claim-free-worksheet (100μs)
      • composing: components.forms.claim-free-worksheet (42μs)
      • creating: components.forms.tutor-subscription-waitlist (83μs)
      • composing: components.forms.tutor-subscription-waitlist (38μs)
      • creating: components.forms.tutor-subscription-join (79μs)
      • composing: components.forms.tutor-subscription-join (37μs)
      • creating: components.forms.tutor-support (78μs)
      • composing: components.forms.tutor-support (37μs)
      • 634 x Illuminate\Cache\Events\CacheHit (30.78%)
        131ms
        24 x Illuminate\Database\Events\StatementPrepared (9.62%)
        41.11ms
        24 x Illuminate\Database\Events\QueryExecuted (7.73%)
        33.03ms
        6 x creating: components.tutors-card (0.69%)
        2.95ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.67%)
        2.86ms
        1 x Illuminate\Cache\Events\CacheMissed (0.51%)
        2.18ms
        2 x Illuminate\Database\Events\ConnectionEstablished (0.28%)
        1.18ms
        1 x Illuminate\Routing\Events\Routing (0.21%)
        911μs
        1 x creating: site.blocks.subject-homework (0.2%)
        872μs
        1 x creating: site.blocks.reviews (0.14%)
        604μs
        1 x Illuminate\Cache\Events\KeyWritten (0.11%)
        466μs
        1 x eloquent.booting: App\Models\User\Tutor (0.1%)
        407μs
        4 x eloquent.retrieved: App\Models\Twill\TwillFaq (0.09%)
        395μs
        1 x Illuminate\Routing\Events\RouteMatched (0.09%)
        378μs
        1 x eloquent.booting: App\Models\User\TutorAttributes\TutorDegree (0.09%)
        374μs
        6 x composing: components.tutors-card (0.08%)
        333μs
        1 x eloquent.booting: App\Models\Twill\TwillFaq (0.08%)
        333μs
        1 x creating: components.canonical (0.07%)
        295μs
        3 x eloquent.retrieved: App\Models\SubjectCat (0.06%)
        249μs
        1 x creating: components.forms.get-started (0.06%)
        242μs
        4 x creating: components.faq-item (0.05%)
        232μs
        6 x eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (0.05%)
        223μs
        1 x creating: site.blocks.how-it-works (0.05%)
        220μs
        1 x creating: components.breadcrumbs (0.05%)
        219μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)
        218μs
        1 x creating: site.headers.header (0.05%)
        215μs
        1 x creating: components.forms.contact-us (0.04%)
        181μs
        1 x creating: components.tutors-cards (0.04%)
        170μs
        1 x creating: components.homework-blocks (0.04%)
        169μs
        1 x creating: site.layouts.app (0.04%)
        169μs
        1 x eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (0.04%)
        168μs
        1 x eloquent.booting: App\Models\Subject (0.04%)
        167μs
        1 x eloquent.booted: App\Models\User\Tutor (0.04%)
        166μs
        1 x creating: site.blocks.text-with-image (0.04%)
        159μs
        1 x composing: subjects.show (0.04%)
        158μs
        2 x eloquent.retrieved: App\Models\Subject (0.04%)
        152μs
        6 x eloquent.retrieved: App\Models\User\Tutor (0.03%)
        147μs
        4 x composing: components.faq-item (0.03%)
        142μs
        1 x eloquent.booted: App\Models\Twill\TwillFaq (0.03%)
        137μs
        1 x creating: components.open-graph (0.03%)
        130μs
        1 x eloquent.booting: App\Models\Meta (0.03%)
        129μs
        1 x creating: site.blocks.work-with-tutors (0.03%)
        129μs
        1 x eloquent.booting: App\Models\SubjectCat (0.03%)
        116μs
        6 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        115μs
        1 x composing: components.breadcrumbs (0.03%)
        114μs
        1 x creating: subjects.show (0.03%)
        111μs
        1 x creating: site.blocks.submit-homework (0.03%)
        107μs
        1 x creating: components.forms.free-tool-download (0.03%)
        107μs
        1 x creating: components.forms.claim-free-worksheet (0.02%)
        100μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        88μs
        1 x composing: components.forms.contact-us (0.02%)
        87μs
        1 x creating: site.blocks.subject-tutors (0.02%)
        85μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.02%)
        83μs
        1 x creating: components.forms.tutor-subscription-join (0.02%)
        79μs
        1 x creating: components.forms.tutor-support (0.02%)
        78μs
        1 x composing: components.homework-blocks (0.02%)
        74μs
        1 x composing: components.tutors-cards (0.02%)
        73μs
        1 x creating: site.blocks.faq (0.02%)
        72μs
        1 x composing: components.forms.free-tool-download (0.02%)
        66μs
        1 x creating: components.footer (0.01%)
        59μs
        1 x composing: components.footer (0.01%)
        58μs
        1 x eloquent.retrieved: App\Models\Meta (0.01%)
        57μs
        1 x composing: components.canonical (0.01%)
        57μs
        1 x composing: components.forms.get-started (0.01%)
        55μs
        1 x eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (0.01%)
        48μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        47μs
        1 x composing: site.headers.header (0.01%)
        45μs
        1 x composing: components.open-graph (0.01%)
        44μs
        1 x eloquent.booted: App\Models\User\TutorAttributes\TutorDegree (0.01%)
        43μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        42μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        40μs
        1 x eloquent.booted: App\Models\Meta (0.01%)
        38μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        38μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        37μs
        1 x composing: components.forms.tutor-support (0.01%)
        37μs
        1 x composing: site.blocks.work-with-tutors (0.01%)
        29μs
        1 x composing: site.blocks.subject-homework (0%)
        17μs
        1 x composing: site.blocks.reviews (0%)
        15μs
        1 x composing: site.blocks.how-it-works (0%)
        14μs
        1 x composing: site.blocks.text-with-image (0%)
        14μs
        1 x composing: site.blocks.submit-homework (0%)
        12μs
        1 x composing: site.layouts.app (0%)
        12μs
        1 x composing: site.blocks.subject-tutors (0%)
        11μs
        1 x composing: site.blocks.faq (0%)
        11μs
      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
      24 statements were executed, 2 of which were duplicates, 22 unique. Show only duplicated59.99ms
      • 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` = 'Discrete-Math' limit 1
        18.12mstwenty4_siteSubjectRepository.php#123
        Bindings
        • 0: Discrete-Math
        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 (3)
        1.19mstwenty4_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
        1.07mstwenty4_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 '%|15|%' or `DSF_subjectsQualified` like '%|15|%' 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'
        4.96mstwenty4_siteTutorsCards.php#35
        Bindings
        • 0: %|15|%
        • 1: %|15|%
        • 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 '%|15|%' or `DSF_subjectsQualified` like '%|15|%' 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
        11.22mstwenty4_siteTutorsCards.php#35
        Bindings
        • 0: %|15|%
        • 1: %|15|%
        • 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` = 6002 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        920μstwenty4_siteTutor.php#361
        Bindings
        • 0: 6002
        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` = 2821 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        1.01mstwenty4_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
        1.01mstwenty4_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` = 10818 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        1.25mstwenty4_siteTutor.php#361
        Bindings
        • 0: 10818
        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` = 54885 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        1.16mstwenty4_siteTutor.php#361
        Bindings
        • 0: 54885
        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
        1mstwenty4_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 `subject_cats` where `subject_cats`.`id` = 42 limit 1
        1.13mstwenty4_siteSubject.php#100
        Bindings
        • 0: 42
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select count(*) as aggregate from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 15 and `status` = 'published' and `price` > 0
        1.58mstwenty4_siteHomeworkBlocks.php#27
        Bindings
        • 0: 15
        • 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` = 15 and `status` = 'published' and `price` > 0 order by `purchase_count` desc limit 6 offset 0
        5.28mstwenty4_siteHomeworkBlocks.php#27
        Bindings
        • 0: 15
        • 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 (15)
        960μstwenty4_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 (3)
        980μstwenty4_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
        950μstwenty4_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
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        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
        990μstwenty4_siteFaqItem.php#15
        Bindings
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        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
        890μstwenty4_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
        990μstwenty4_siteFaqItem.php#15
        Bindings
        • 0: how-much-will-it-cost
        • 1: 1
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        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
        830μstwenty4_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
        810μstwenty4_siteFaqItem.php#15
        Bindings
        • 0: what-kind-of-payments-do-you-accept
        • 1: 1
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        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
        890μstwenty4_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
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