Linked from

The 87 pages that link to Real number, each with the reason it gives.

• Uncountable setBroader topic: The real numbers are the standard example of an uncountable set.

• Algebraically closed fieldCompared with: The real field is not algebraically closed, since polynomials such as x² + 1 have no real root.

• Archimedean propertyRelated: The real numbers satisfy the property, providing its standard model.

• Common logarithmRelated: Common logarithms of positive real inputs can take real values, including non-integers.

• Darboux's theoremRelated: The theorem concerns values between real derivative values.

• Monotone sequenceNarrower topic: The usual monotonicity definition compares sequence terms using the real-number order.

• Sign functionNarrower topic: The sign function’s stated domain is the real numbers.

• Completeness of the real numbersNarrower topic: Completeness is a defining structural property of this number system.

• Number lineNarrower topic: Real numbers fill the line, including rational and irrational positions.

• Bernoulli's inequalityNarrower topic: The generalized statement allows real exponents, not only integer ones.

• Binary logarithmNarrower topic: Binary logarithms extend beyond integer exponents to positive real inputs.

• Hyperreal numberNarrower topic: The hyperreal field extends the real numbers while preserving their ordinary arithmetic and order.

• Local-global principleRelated: The real completion is an archimedean place that must be included in arithmetic tests.

• One-sided limitNarrower topic: Ordinary one-sided limits approach points along the ordered real line.

• Real-valued functionRelated: Every output of a real-valued function belongs to this number system.

• Monotone convergence theoremNarrower topic: The theorem relies on the completeness of the real numbers.

• ConstructivismRelated: Constructivist and classical accounts differ over which definitions and existence claims about reals are legitimate.

• Number (mathematics)Broader topic: Real numbers include limits and measurements that fractions cannot express exactly.

• Cube rootNarrower topic: Every real number has exactly one real cube root.

• Extended real number lineBroader topic: Every ordinary member of the extended real number line is a real number.

• Floor and ceiling functionsNarrower topic: Both functions accept every real number as input.

• Nth rootNarrower topic: Restricting roots to real numbers explains why some even roots of negative numbers do not exist.

• Pontryagin dualityRelated: It is self-dual, with real frequencies providing its characters.

• Bolzano's theoremNarrower topic: The theorem concerns real-valued functions on real intervals.

• Complex conjugate root theoremNarrower topic: Real coefficients remain unchanged under complex conjugation, which makes the theorem hold.

• Imaginary numberRelated: Imaginary numbers use real numbers as their coefficients.

• Solovay modelRelated: The theorem concerns every set of real numbers belonging to the model.

• Square root of 2Narrower topic: The positive square root of 2 lies on the real number line.

• Computable numberNarrower topic: Computable numbers form a precisely defined subset of the real numbers.

• Mathematical constantNarrower topic: Many familiar constants are real numbers, though constants need not be limited to them.

• Sign (mathematics)Narrower topic: The usual positive, negative, and zero classification applies to real numbers.

• Cantor–Dedekind axiomBroader topic: These are the numerical values assigned to line points.

• Cauchy's convergence testRelated: For real-valued series, completeness ensures Cauchy partial sums converge to a real sum.

• Ostrowski's theoremRelated: The usual absolute value in the classification leads to the real completion.

• Proof that π is irrationalNarrower topic: Irrationality classifies π within the real numbers, beyond the rational subset.

• Standard part functionRelated: Every standard-part value lies in the real numbers.

• Universe (mathematics and logic)Broader topic: Real analysis commonly fixes the real numbers as its domain.