The SAGE Manual
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3.1.1.2 MatrixFunction Objects
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The SAGE Manual
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4.1 Infinity
4. Rings
Subsections
4.1 Infinity
4.1.1
rings.infinity
-
4.1.1.1 Element Objects
4.1.1.2 Infinity Objects
4.2 The Integer Ring
4.2.1
rings.integer_ring
- The Integer Ring
4.2.1.1 IntegerRing Objects
4.2.2
rings.integer
- Integers
4.2.2.1 Integer Objects
4.3 The Rational Field
4.3.1
rings.rational_field
- The field of rational numbers.
4.3.1.1 RationalField Objects
4.3.2
rings.rational
-
4.3.2.1 Rational Objects
4.4 The Real and Complex Numbers
4.4.1
rings.real_field
- The field of real numbers.
4.4.1.1 RealField Objects
4.4.1.2 RealField_decimal Objects
4.4.1.3 RealField_mpf Objects
4.4.2
rings.real_number
- Real number
4.4.2.1 RealNumber Objects
4.4.2.2 RealNumber_decimal Objects
4.4.2.3 RealNumber_mpf Objects
4.4.3
rings.complex_field
- Complex numbers
4.4.3.1 ComplexField Objects
4.4.4
rings.complex_number
- A complex number
4.4.4.1 ComplexNumber Objects
4.5 Quaternion Algebras
4.5.1
rings.quatalg
- Quaternion algebras
4.5.1.1 Algebra Objects
4.5.1.2 Algebra_QQ Objects
4.5.1.3 Ideal Objects
4.5.1.4 Ideal_QQ Objects
4.5.1.5 Lattice Objects
4.5.1.6 Lattice_QQ Objects
4.5.1.7 Order Objects
4.5.1.8 Order_QQ Objects
4.5.2
rings.quaternion
- Quaternions
4.5.2.1 Quaternion Objects
4.6 Univariate Polynomials
4.6.1
rings.polynomial_ring
- Univariate Polynomial Rings
4.6.1.1 PolynomialRing Objects
4.6.1.2 PolynomialRing_finite_base Objects
4.6.2
rings.polynomial
- Univariate Polynomial
4.6.2.1 Polynomial Objects
4.6.2.2 Polynomial_generic_dense Objects
4.6.2.3 Polynomial_generic_sparse Objects
4.6.2.4 Polynomial_integer_dense Objects
4.6.2.5 Polynomial_rational_dense Objects
4.7 Quotients of Univariate Polynomial Rings
4.7.1
rings.polyquo
- Quotients of univariate polynomial rings
4.7.1.1 PolynomialQuotientRing Objects
4.7.1.2 PolynomialQuotientRingElement Objects
4.8 Multivariate Polynomials
4.8.1
rings.multi_polynomial_ring
- Multivariate Polynomials
4.8.1.1 MPolynomialRing_base Objects
4.8.1.2 MPolynomialRing_polydict Objects
4.8.1.3 MPolynomialRing_polylist Objects
4.8.2
rings.multi_polynomial
- Multivariate polynomial element.
4.8.2.1 Element Objects
4.8.2.2 MPolynomial Objects
4.8.2.3 MPolynomial_polydict Objects
4.8.2.4 MPolynomial_polylist Objects
4.9 Finite Fields
4.9.1
rings.finite_field
- A finite field
4.9.1.1 FiniteField Objects
4.9.1.2 FiniteField_ext_pari Objects
4.9.1.3 FiniteField_prime_modn Objects
4.9.2
rings.finite_field_element
- Element of finite field.
4.9.2.1 FiniteFieldElement Objects
4.10 The Integers Modulo
4.10.1
rings.integer_mod_ring
- Ring of integers modulo n.
4.10.1.1 IntegerModRing Objects
4.10.2
rings.integer_mod
- Element of integers modulo n.
4.10.2.1 IntegerMod Objects
4.11 Power Series
4.11.1
rings.power_series_ring
- Univariate Power Series Rings
4.11.1.1 PowerSeriesRing Objects
4.11.2
rings.power_series
- Power series ring
4.11.2.1 PowerSeries Objects
4.11.2.2 PowerSeries_generic_dense Objects
4.12 Laurent Series
4.12.1
rings.laurent_series_ring
- Laurent series ring
4.12.1.1 LaurentSeriesRing Objects
4.12.2
rings.laurent_series
- A Laurent series
4.12.2.1 LaurentSeries Objects
4.13 Number Fields
4.13.1
rings.number_field
- Number fields
4.13.1.1 CyclotomicField Objects
4.13.1.2 FractionalIdeal Objects
4.13.1.3 NumberField Objects
4.13.1.4 QuadraticField Objects
4.13.2
rings.number_field_element
- Number field element
4.13.2.1 NumberFieldElement Objects
4.14
-Adic Numbers
4.14.1
rings.padic_field
- Field Q_p of p-adic numbers.
4.14.1.1 pAdicField Objects
4.14.2
rings.padic
- p-adic numbers
4.14.2.1 pAdic Objects
The SAGE Manual
Previous:
3.1.1.2 MatrixFunction Objects
Up:
The SAGE Manual
Next:
4.1 Infinity
Release 0.6.beta1, documentation updated on September 7, 2005.
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