$#A+1 = 59 n = 0
...ic system together with an indication of their arity. An algebraic system (a [[Universal algebra|universal algebra]]) with signature $ \Omega $
4 KB (651 words) - 18:47, 13 January 2024
$#A+1 = 123 n = 0
...ncyclopedia/old_files/data/K055/K.0505610 Knots and links, quadratic forms of
11 KB (1,680 words) - 10:46, 20 January 2024
...reasoning, depends on one of these "good" approximations, the existence of which is not proved.
...inear form in logarithms]]). The best result thus far (1978) known has the form
6 KB (940 words) - 18:12, 23 November 2014
...any non-principal real [[Dirichlet character|Dirichlet character]] $\chi$ of modulus $k$,
.... For example, if $h(-D)$ is the divisor class number of a quadratic field of discriminant $-D$, it follows from the theorem that
5 KB (784 words) - 20:40, 18 October 2014
$#A+1 = 319 n = 2
$#C+1 = 319 : ~/encyclopedia/old_files/data/Q076/Q.0706080 Quadratic form
32 KB (4,863 words) - 08:08, 12 August 2022
$#A+1 = 64 n = 0
A [[Characteristic number|characteristic number]] defined for closed oriented
5 KB (680 words) - 08:07, 6 June 2020
$#A+1 = 138 n = 0
...clopedia/old_files/data/R082/R.0802060 Riemann surfaces, conformal classes of
14 KB (1,973 words) - 08:11, 6 June 2020
$#A+1 = 62 n = 0
A mapping $ \phi $
8 KB (1,242 words) - 07:04, 6 May 2022
$#A+1 = 242 n = 0
$#C+1 = 242 : ~/encyclopedia/old_files/data/D032/D.0302240 Differential on a Riemann surface
18 KB (2,560 words) - 19:35, 5 June 2020
Out of 42 formulas, 40 were replaced by TEX code.-->
...died through [[Quasi-conformal mapping|quasi-conformal mapping]], solution of the inhomogeneous $\overline { \partial }$-equation (cf. also [[Neumann d-b
10 KB (1,540 words) - 17:43, 1 July 2020
''of algebraic numbers''
An expression of the form
5 KB (776 words) - 08:31, 23 November 2023
$#A+1 = 87 n = 0
...which are sought for in the algebraic integers of some algebraic extension of the field $ \mathbf Q $
18 KB (2,685 words) - 08:57, 18 August 2022
$#A+1 = 261 n = 12
$#C+1 = 261 : ~/encyclopedia/old_files/data/A110/A.1100040 Abelian surface
18 KB (2,511 words) - 06:25, 26 March 2023
...which certain real functions must be assigned "small" values if the values of the arguments are integers. Accordingly, Diophantine approximations are clo
...least one common integer argument may be studied at the same time. In such a case the Diophantine approximations are called simultaneous. Simultaneous D
54 KB (7,359 words) - 18:32, 31 March 2017
An ''elliptic curve'' is a non-singular complete
[[Algebraic curve|algebraic curve]] of genus 1. The theory of elliptic
19 KB (3,251 words) - 20:37, 19 September 2017
Out of 266 formulas, 265 were replaced by TEX code.-->
...nd [[#References|[a8]]]; in particular, for the idea of points at infinity of $C$, see [[#References|[a1]]]. For an interplay between the geometry and th
16 KB (2,510 words) - 17:43, 1 July 2020
...makes the theory of algebraic surfaces one of the most interesting fields of algebraic geometry.
...ic geometry (1868–1920) algebraic surfaces were understood to mean a class of birationally equivalent surfaces, and its representations were considered t
26 KB (3,736 words) - 13:08, 8 February 2020
$#A+1 = 79 n = 0
of an algebraic or Kähler variety $ X $
6 KB (967 words) - 08:26, 6 June 2020
$#A+1 = 88 n = 2
...ielded elegant and conclusive results, but resulted in a mutual enrichment of the two topics [[#References|[3]]].
24 KB (3,602 words) - 11:48, 26 March 2023
The branch of mathematics dealing with geometric objects connected with commutative rings
...for the formulation of such proofs in their most obvious and most general form.
29 KB (4,414 words) - 17:20, 17 December 2019