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Pure Mathematics

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Statistics

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Applied Mathematics

  • Mathematical Modeling
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Data Science & Analytics

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📖 Essential Mathematical Formulas

Quadratic Formula

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

For solving quadratic equations ax² + bx + c = 0

Pythagorean Theorem

a² + b² = c²

For right triangles: a² + b² = c²

Normal Distribution

f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}

Probability density function of normal distribution

Bayes' Theorem

P(A|B) = \frac{P(B|A)P(A)}{P(B)}

Conditional probability calculation

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