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2. List of types of numbers - Wikipedia

   en.wikipedia.org/wiki/List_of_types_of_numbers

   Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.

3. Irrational number - Wikipedia

   en.wikipedia.org/wiki/Irrational_number

   However, there is a second definition of an irrational number used in constructive mathematics, that a real number is an irrational number if it is apart from every rational number, or equivalently, if the distance | | between and every rational number is positive. This definition is stronger than the traditional definition of an irrational number.

4. Category:Irrational numbers - Wikipedia

   en.wikipedia.org/wiki/Category:Irrational_numbers

   In mathematics, an irrational number is any real number that is not a rational number, i.e., one that cannot be written as a fraction a / b with a and b integers and b not zero. This is also known as being incommensurable, or without common measure. The irrational numbers are precisely those numbers whose expansion in any given base (decimal ...

5. Template:Irrational number - Wikipedia

   en.wikipedia.org/wiki/Template:Irrational_number

   To change this template's initial visibility, the |state= parameter may be used: {{Irrational number | state = collapsed}} will show the template collapsed, i.e. hidden apart from its title bar. {{Irrational number | state = expanded}} will show the template expanded, i.e. fully visible.

6. Irrationality measure - Wikipedia

   en.wikipedia.org/wiki/Irrationality_measure

   Rational numbers have irrationality exponent 1, while (as a consequence of Dirichlet's approximation theorem) every irrational number has irrationality exponent at least 2. On the other hand, an application of Borel-Cantelli lemma shows that almost all numbers, including all algebraic irrational numbers , have an irrationality exponent exactly ...

7. List of mathematical constants - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_constants

   Download as PDF; Printable version; In other projects ... Rational numbers have two continued fractions; the version in this list is the shorter one. ... is irrational.