Mathematics & Algorithm

  • Greedy Algorithm

    Summary

  • Divide and Conquer Algorithm

    Summary Algorithm Divide Step Conquer Step Combine Step Time Complexity Merge Sort Split array into halves Recursively sort each half […]

  • Data Structures

    Summary Linear Data Structures Linear data structures organize elements sequentially, where each element has a unique predecessor and successor (except […]

  • Algorithm Analysis

    Summary ✔ Algorithm analysis helps evaluate performance using time and space complexity.✔ Order of growth determines how an algorithm scales […]

  • Logarithm

    Definition of Logarithm:\(\text{If and only if } y = a^x ), where ( a > 0 ), ( a \neq […]

  • Limits & Continuity

    Limit of a Constant:\( \lim \limits_{x \to a} c = c \) \( \lim \limits_{x \to a} x = a […]

  • Integration

    Constant Rule:\( \int k \, dx = k x + C \) Constant Multiple Rule:\( \int k \cdot f(x) \, […]

  • Derivatives

    Power Rule: \( \frac{d}{dx} \left[ x^n \right] = n x^{n-1} \) Constant Rule: \( \frac{d}{dx} \left[ c \right] = 0 […]

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