# Algebrica v0.1.0 - Table of Contents

> A Mix/ExDoc wrapper for the Algebrica mathematics knowledge base.

## Pages

- Project
  - [Algebrica](algebrica-readme.md)
  - [License](license.md)

- Sets and Numbers
  - [Absolute value](absolute-value.md)
  - [Binomial Coefficient](binomial-coefficient.md)
  - [Factorial](factorial.md)
  - [Integers](integers.md)
  - [Intervals](intervals.md)
  - [Modulo Operator](modulo-operator.md)
  - [Natural Numbers](natural-numbers.md)
  - [Properties of Real Numbers](properties-of-real-numbers.md)
  - [Real Numbers](real-numbers.md)
  - [Sets](sets.md)
  - [Supremum and Infimum](supremum-and-infimum.md)
  - [Types of Numbers](types-of-numbers.md)

- Powers, Radicals, and Logarithms
  - [Logarithms](logarithms.md)
  - [Powers](powers.md)
  - [Radicals](radicals.md)

- Equations
  - [Equations](equations.md)
  - [Factoring Quadratic Equations](factoring-quadratic-equations.md)
  - [Incomplete Quadratic Equations](incomplete-quadratic-equations.md)
  - [Linear Equations with Parameters](linear-equations-with-parameters.md)
  - [Linear Equations](linear-equations.md)
  - [Polynomial equations](polynomial-equations.md)
  - [Quadratic Equations](quadratic-equations.md)
  - [Quadratic Formula](quadratic-formula.md)

- Polynomials
  - [Adding and Subtracting Polynomials](adding-and-subtracting-polynomials.md)
  - [binomial-theorem](binomial-theorem.md)
  - [Binomials](binomials.md)
  - [completing-the-square](completing-the-square.md)
  - [Factoring Polynomials: AC Method](factoring-polynomials-ac-method.md)
  - [Monomials](monomials.md)
  - [Notable Products](notable-products.md)
  - [Partial Fraction Decomposition](partial-fraction-decomposition.md)
  - [Polynomial Division](polynomial-division.md)
  - [Polynomials](polynomials.md)
  - [Roots of a Polynomial](roots-of-a-polynomial.md)
  - [The Synthetic Division Method](synthetic-division-method.md)
  - [Trinomials](trinomials.md)
  - [Vieta's Formulas](vieta-formulas.md)

- Complex Numbers
  - [Complex Numbers in Exponential Form](complex-numbers-in-exponential-form.md)
  - [Complex Numbers in Trigonometric Form](complex-numbers-in-trigonometric-form.md)
  - [Complex Numbers](complex-numbers.md)
  - [De Moivre’s Theorem](de-moivre-theorem.md)
  - [Fundamental Inequalities for Complex Numbers](fundamental-inequalities-for-complex-numbers.md)
  - [Operations with Complex Numbers](operations-with-complex-numbers.md)
  - [Roots of Unity](roots-of-unity.md)

- Trigonometry
  - [Arcsine and Arccosine](arcsine-and-arccosine.md)
  - [Arctangent and Arccotangent](arctangent-and-arccotangent.md)
  - [Hyperbolic Sine and Cosine](hyperbolic-sine-and-cosine.md)
  - [Hyperbolic Tangent and Cotangent](hyperbolic-tangent-and-cotangent.md)
  - [Pythagorean Identity](pythagorean-identity.md)
  - [Pythagorean Theorem](pythagorean-theorem.md)
  - [Reduction Formulas and Reference Angles](reduction-formulas-and-reference-angles.md)
  - [Right Triangle Trigonometry](right-triangle-trigonometry.md)
  - [Secant and Cosecant](secant-and-cosecant.md)
  - [Sine and Cosine](sine-and-cosine.md)
  - [Tangent and Cotangent](tangent-and-cotangent.md)
  - [The Law of Cosines](the-law-of-cosines.md)
  - [The Law of Sines](the-law-of-sines.md)
  - [Trigonometric Identities](trigonometric-identities.md)
  - [Unit Circle](unit-circle.md)

- Vectors and Matrices
  - [Determinant of a Square Matrix](determinant-of-a-square-matrix.md)
  - [Eigenvalues and Eigenvectors](eigenvalues-and-eigenvectors.md)
  - [Inverse Matrix](inverse-matrix.md)
  - [Linear Combinations](linear-combinations.md)
  - [Matrices](matrices.md)
  - [Matrix Diagonalization](matrix-diagonalization.md)
  - [Rank of a Matrix](rank-of-a-matrix.md)
  - [Vectors](vectors.md)

- Linear Systems
  - [Rouché-Capelli Theorem](rouche-capelli-theorem.md)

- Integrals
  - [Definite integrals](definite-integrals.md)
  - [Intefinite integrals](indefinite-integrals.md)
  - [Integration by Substitution](integration-by-substitution.md)

- Limits
  - [Remarkable Limits](remarkable-limits.md)

- Algebraic Structures
  - [Fields](fields.md)
  - [Groups](groups.md)
  - [Modules](modules.md)
  - [Rings](rings.md)
  - [Vector Spaces](vector-spaces.md)

- Algebrica.org Pages
  - [About This Project](about.md)
  - [Absolute Value Equations](absolute-value-equations.md)
  - [Absolute Value Function](absolute-value-function.md)
  - [Uniformly Accelerated Motion: Acceleration](acceleration.md)
  - [Algebra of Limits](algebra-of-limits.md)
  - [Analyzing the Graphs of Functions](analyzing-the-graphs-of-functions.md)
  - [Arithmetic Mean](arithmetic-mean.md)
  - [Arithmetic Sequence](arithmetic-sequence.md)
  - [Asymptotes](asymptotes.md)
  - [The Backpropagation Algorithm](backpropagation.md)
  - [Bayes’ Theorem](bayes-theorem.md)
  - [Bernoulli Distribution](bernoulli-distribution.md)
  - [Beta Distribution](beta-distribution.md)
  - [Big O Notation](big-o-notation.md)
  - [Binomial Distribution](binomial-distribution.md)
  - [Binomial Equations](binomial-equations.md)
  - [Cauchy’s Convergence Criterion for Series](cauchy-convergence-criterion-series.md)
  - [Cauchy Sequence](cauchy-sequence.md)
  - [Cauchy’s Theorem](cauchy-theorem.md)
  - [Chi-square Distribution](chi-square-distribution.md)
  - [Circumference](circumference.md)
  - [Community](community.md)
  - [Fundamental Inequalities for Complex Numbers](complex-number-fundamental-inequalities.md)
  - [Operations with Complex Numbers](complex-number-operations.md)
  - [Complex Numbers in Exponential Form](complex-numbers-exponential-form.md)
  - [Complex Numbers](complex-numbers-introduction.md)
  - [Complex Numbers in Trigonometric Form](complex-numbers-trigonometric-form.md)
  - [Composite Functions](composite-functions.md)
  - [Confidence Intervals](confidence-intervals.md)
  - [Continuous Functions](continuous-functions.md)
  - [Continuous Random Variables](continuous-random-variables.md)
  - [Convergent and Divergent Sequences](convergent-and-divergent-sequences.md)
  - [Convexity and Concavity of Functions](convexity-and-concavity-of-functions.md)
  - [Cosecant Function](cosecant-function.md)
  - [Cosine Function](cosine-function.md)
  - [Cosine Similarity](cosine-similarity.md)
  - [Cotangent Function](cotangent-function.md)
  - [Cramer’s Rule](cramers-rule.md)
  - [Derivative A1](derivative-a-1.md)
  - [Derivative A2](derivative-a-2.md)
  - [Derivative of Composite Power Functions](derivative-of-composite-power-functions.md)
  - [Derivatives Module A](derivatives-module-a.md)
  - [Derivatives](derivatives.md)
  - [Determinant of a Square Matrix](determinant.md)
  - [Determining the Domain of a Function](determining-the-domain-of-a-function.md)
  - [Difference Quotient](difference-quotient.md)
  - [Differential Equations](differential-equations.md)
  - [Differential of a Function](differential-of-a-function.md)
  - [Dirichlet Function](dirichlet-function.md)
  - [Discontinuities of Real Functions](discontinuities-of-real-functions.md)
  - [Discrete Random Variables](discrete-random-variables.md)
  - [Editorial Process](editorial-process.md)
  - [Ellipse](ellipse.md)
  - [Equations with Parameters](equations-with-parameters.md)
  - [Euler’s Number as the Limit of a Sequence](euler-number-limit-sequence.md)
  - [Even and Odd Functions](even-and-odd-functions.md)
  - [Exponential Distribution](exponential-distribution.md)
  - [Exponential Equations](exponential-equations.md)
  - [Exponential Function](exponential-function.md)
  - [Factoring Polynomials: AC Method](factoring-ac-method.md)
  - [Fermat’s Theorem](fermat-theorem.md)
  - [Finding Areas by Integration](finding-areas-by-integration.md)
  - [Fourier Series](fourier-series.md)
  - [Function Series](function-series.md)
  - [Functions](functions.md)
  - [Fundamental Theorem of Calculus](fundamental-theorem-of-calculus.md)
  - [Gamma Distribution](gamma-distribution.md)
  - [Geometric Distribution](geometric-distribution.md)
  - [Geometric Mean](geometric-mean.md)
  - [Geometric Sequence](geometric-sequence.md)
  - [Exercises on Geometric Series](geometric-series.md)
  - [The Geometric Interpretation of Quadratic Equations](geometrical-meaning-quadratic-equations.md)
  - [Glossary](glossary.md)
  - [The Ontological Graph](graph.md)
  - [Harmonic Mean](harmonic-mean.md)
  - [Harmonic Series](harmonic-series.md)
  - [Homogeneous Trigonometric Equations](homogeneous-trigonometric-equations.md)
  - [L’Hôpital’s Rule](hopital-rule.md)
  - [Hyperbola](hyperbola.md)
  - [Hypergeometric Distribution](hypergeometric-distribution.md)
  - [Improper Integrals](improper-integrals.md)
  - [Increasing, Decreasing and Monotonic Functions](increasing-and-decreasing-functions.md)
  - [Indeterminate Forms of Limits](indeterminate-forms.md)
  - [Inequalities with Absolute Value](inequalities-with-absolute-value.md)
  - [Integral of Rational Functions](integral-of-rational-functions.md)
  - [Integral of the Exponential Function](integral-of-the-exponential-function.md)
  - [Integral of Trigonometric Functions](integral-of-trigonometric-functions.md)
  - [Integral Test for Series Convergence](integral-test-for-series-convergence.md)
  - [Integrals Module A](integrals-module-a.md)
  - [Integration by Parts](integration-by-parts.md)
  - [Introduction to the Mean](introduction-to-the-mean.md)
  - [Inverse Function](inverse-function.md)
  - [Irrational Equation A1](irrational-equation-a-1.md)
  - [Irrational Equation A2](irrational-equation-a-2.md)
  - [Irrational Equation A3](irrational-equation-a-3.md)
  - [Irrational Equation A4](irrational-equation-a-4.md)
  - [Irrational Equation A5](irrational-equation-a-5.md)
  - [Irrational Equation A6](irrational-equation-a-6.md)
  - [Irrational Equations Module A](irrational-equations-module-a.md)
  - [Irrational Equations](irrational-equations.md)
  - [Irrational Inequalities](irrational-inequalities.md)
  - [Lagrange’s Theorem](lagrange-theorem.md)
  - [Project Updates](latest-news.md)
  - [The Law of Cosines](law-of-cosines.md)
  - [The Law of Sines](law-of-sines.md)
  - [Leibniz’s Criterion](leibniz-criterion.md)
  - [Limits](limits.md)
  - [Linear Inequalities](linear-inequalities.md)
  - [Lines](lines.md)
  - [Little-o Notation](little-o-notation.md)
  - [Logarithmic Equation A1](logarithmic-equation-a-1.md)
  - [Logarithmic Equations Module A](logarithmic-equations-module-a.md)
  - [Logarithmic Equations](logarithmic-equations.md)
  - [Logarithmic Function](logarithmic-function.md)
  - [Logarithmic Inequalities](logarithmic-inequalities.md)
  - [Loss of Roots](loss-of-roots.md)
  - [Maximum, Minimum, and Inflection Points](maximum-minimum-and-inflection-points.md)
  - [Mean or Expected Value of a Random Variable](mean-or-expected-value-of-a-random-variable.md)
  - [Median and Quantiles](median.md)
  - [Monotone Sequences](monotone-sequences.md)
  - [Normal Distribution](normal-distribution.md)
  - [Parabola](parabola.md)
  - [Partial Derivatives](partial-derivatives.md)
  - [Non-Differentiable Points](points-of-non-differentiability.md)
  - [Poisson Distribution](poisson-distribution.md)
  - [Polar Coordinates](polar-coordinates.md)
  - [Polynomial Function](polynomial-function.md)
  - [Power Series](power-series.md)
  - [Principle of Mathematical Induction](principle-of-mathematical-induction.md)
  - [Privacy Policy](privacy-policy.md)
  - [Propositional Logic](propositional-logic.md)
  - [Quadratic Equation A10](quadratic-equation-a-10.md)
  - [Quadratic Equation A2](quadratic-equation-a-2.md)
  - [Quadratic Equation A3](quadratic-equation-a-3.md)
  - [Quadratic Equation A4](quadratic-equation-a-4.md)
  - [Quadratic Equation A5](quadratic-equation-a-5.md)
  - [Quadratic Equation A6](quadratic-equation-a-6.md)
  - [Quadratic Equation A7](quadratic-equation-a-7.md)
  - [Quadratic Equation A8](quadratic-equation-a-8.md)
  - [Quadratic Equation A9](quadratic-equation-a9.md)
  - [Quadratic Equation B1](quadratic-equation-b-1.md)
  - [Quadratic Equation B10](quadratic-equation-b-10.md)
  - [Quadratic Equation B2](quadratic-equation-b-2.md)
  - [Quadratic Equation B3](quadratic-equation-b-3.md)
  - [Quadratic Equation B4](quadratic-equation-b-4.md)
  - [Quadratic Equation B5](quadratic-equation-b-5.md)
  - [Quadratic Equation B6](quadratic-equation-b-6.md)
  - [Quadratic Equation B7](quadratic-equation-b-7.md)
  - [Quadratic Equation B8](quadratic-equation-b-8.md)
  - [Quadratic Equation B9](quadratic-equation-b-9.md)
  - [Quadratic Equations – Exercise 1](quadratic-equation-e-1.md)
  - [Quadratic Equations Module A](quadratic-equations-module-a.md)
  - [Quadratic Equations Module B](quadratic-equations-module-b.md)
  - [Quadratic Equations with Complex Solutions](quadratic-equations-with-complex-solutions.md)
  - [Quadratic Equations with Parameters](quadratic-equations-with-parameters.md)
  - [Quadratic Inequalities](quadratic-inequalities.md)
  - [Rational Equation A1](rational-equation-a-1.md)
  - [Rational Equation A10](rational-equation-a-10.md)
  - [Rational Equation A2](rational-equation-a-2.md)
  - [Rational Equation A3](rational-equation-a-3.md)
  - [Rational Equation A4](rational-equation-a-4.md)
  - [Rational Equation A5](rational-equation-a-5.md)
  - [Rational Equation A6](rational-equation-a-6.md)
  - [Rational Equation A8](rational-equation-a-8.md)
  - [Rational Equation A9](rational-equation-a-9.md)
  - [Rational Equations A7](rational-equations-a-7.md)
  - [Rational Equations Module A](rational-equations-module-a.md)
  - [Rational Equations](rational-equations.md)
  - [Rational Functions](rational-functions.md)
  - [Rational Inequalities](rational-inequalities.md)
  - [Riemann Integrability Criteria](riemann-integrability-criteria.md)
  - [Rolle’s Theorem](rolles-theorem.md)
  - [Root Mean Square](root-mean-square.md)
  - [Root Test for Series Convergence](root-test-for-series-convergence.md)
  - [Sampling Distributions](sampling-distributions.md)
  - [Secant Function](secant-function.md)
  - [Sequences of Functions](sequences-of-functions.md)
  - [Sequences](sequences.md)
  - [Series with Positive Terms](series-with-positive-terms.md)
  - [Series](series.md)
  - [Sigmoid Function](sigmoid-function.md)
  - [Sign Analysis in Inequalities](sign-analysis-in-inequalities.md)
  - [Sign Function](sign-function.md)
  - [Simple Harmonic Motion](simple-harmonic-motion.md)
  - [Sine Function](sine-function.md)
  - [Gaussian Elimination](solving-linear-systems-using-gaussian-elimination.md)
  - [Squeeze Theorem](squeeze-theorem.md)
  - [Standard Normal Z Table](standard-normal-z-table.md)
  - [Student’s t Distribution](student-t-distribution.md)
  - [The Synthetic Division Method](synthetic-division.md)
  - [Systems of Inequalities](systems-of-inequalities.md)
  - [Systems of Linear Equations](systems-of-linear-equations.md)
  - [Tangent Function](tangent-function.md)
  - [Taylor Series](taylor-series.md)
  - [Derivative of a Composite Function](the-derivative-of-a-composite-function.md)
  - [Trigonometric Equations Module A](trigonometric-equations-module-a.md)
  - [Trigonometric Equations: Part 1](trigonometric-equations.md)
  - [Trigonometric Inequalities](trigonometric-inequalities.md)
  - [Trigonometric Substitution for Integrals](trigonometric-substitution-for-integrals.md)
  - [Trinomial Equations](trinomial-equations.md)
  - [Uniform Continuity](uniform-continuity.md)
  - [Uniform Distribution](uniform-distribution.md)
  - [Variance and Covariance of a Random Variable](variance-and-covariance-of-a-random-variable.md)
  - [Variance](variance.md)
  - [Vector and Parametric Equations of a Line](vector-and-parametric-equations-of-a-line.md)
  - [Uniform Linear Motion: Velocity](velocity.md)
  - [Weierstrass Theorem](weierstrass-theorem.md)

## Modules

- [Algebrica](Algebrica.md): Mix project wrapper for the Algebrica mathematics knowledge base.