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Tech Labs Education Documentation

website·Indexed 30 days ago

https://elifuzz.github.io/tech-labs/

A comprehensive educational resource covering computer science fundamentals, software development, and modern tech stacks. Topics include data structures (Red-Black Trees, R-trees, Tries, Graphs), algorithms, system design principles, SDLC, and specific technologies such as Java, GraphQL, React, and Git.

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What's inside Tech Labs

  5. Overview of Creational Design Patterns

    Creational design patterns deal with object creation mechanisms, ensuring that objects are created in a manner suitable to the specific situation. These patterns decouple a system from the details of how its objects are created, composed, and represented.

  9. Overview of common computer science algorithms and paradigms

    The following table summarizes key algorithms, their associated topics, the computational paradigms they employ, and their primary purpose:
    AlgorithmTopicParadigmDefinition
    Knapsack ProblemSetDynamic ProgrammingOptimize value by selecting items to fit into a limited-capacity knapsack
    Articulation PointsGraphGraph TheoryIdentifies critical nodes whose removal would disconnect a graph
    Bellman-Ford AlgorithmGraphDynamic ProgrammingFinds shortest paths from a single source to all other vertices in a weighted graph, even with negative edge weights
    Best Time To Buy Sell StocksSliding Window / SetDivide and ConquerFinding the maximum profit from buying and selling stocks at the right times
    Binary Floating PointMathFloating Point ArithmeticRepresentation of real numbers in binary format with a floating-point
    Binary SearchSearchDivide and ConquerSearch algorithm that divides a sorted array into halves, eliminating half of the remaining elements in each step
    Bit ManipulationMathBitwise ManipulationManipulating individual bits within binary numbers
    Breadth-First Search (BFS)Graph / TreeGraph TraversalTraversal algorithm that systematically explores all neighbor nodes at the present depth prior to moving on to nodes at the next depth level
    BridgesGraphGraph TheoryEdges in a graph, the removal of which would increase the number of connected components
    Bubble SortSortComparison-based SortSimple sorting algorithm that repeatedly steps through the list, compares adjacent elements, and swaps them if they are in the wrong order
    Bucket SortSortDistribution-based SortSorting algorithm that distributes elements into a number of "buckets", and then sorts each bucket individually
    Caesar CipherCryptographySubstitution CipherSubstitution cipher that shifts characters in the alphabet by a fixed number of positions
    Cartesian ProductSetCombinatorialSet of all possible ordered pairs from two sets
    Combination SumCombinatorial ProblemBacktrackingFinding combinations of numbers that sum up to a given target value
    CombinationsSetDivide and ConquerSelections of elements without considering the order
    Complex NumberMathMathematicalA number that comprises a real part and an imaginary part

  10. Overview of Graph and String Algorithms

    Key algorithms for processing graphs and text include:

    • Kruskal's Algorithm: A greedy algorithm used to find the minimum spanning tree of a connected, undirected graph.
    • Knight's Tour: A backtracking problem to find a sequence of moves for a knight on a chessboard that visits every square exactly once.
    • Knuth–Morris–Pratt (KMP): An efficient string-searching algorithm for finding occurrences of a word within a larger text.
    • Levenshtein Distance: A dynamic programming approach to find the minimum number of single-character edits (insertions, deletions, or substitutions) required to change one word into another.

  11. Overview of Sorting and Searching Algorithms

    Common algorithms for organizing and retrieving data include:

    • Insertion Sort: Builds a sorted list one element at a time by repeatedly inserting the next element into the already sorted part of the list.
    • Interpolation Search: Extrapolates the position of a target value based on its value and the array's endpoints; ideal for uniformly distributed data.
    • Jump Search (Block Search): Jumps ahead by fixed steps and then performs a linear search within the identified block.
    • Linear Search: A brute-force approach that sequentially examines each element in a list until a match is found.