Leopold Kronecker (2228 bytes)
1: ... the mathematical extensions of [[Georg Cantor]]. Kronecker was a student and lifelong friend of [[Ernst Kumm...
3: Kronecker wrote [[1845]] his dissertation, at the [[Univers...
5: ...memoir on the algebraic solvability of equations, Kronecker extended the work of [[Évariste Galois]] o...
7: ...on of the General Equation of the Fifth Degree'', Kronecker solved the [[quintic equation]] by applying [[gro...
9: Kronecker's [[finitism]] made him a forerunner of [[intuiti...

Kronecker delta (2262 bytes)
1: ...or '''Kronecker's delta''', named after [[Leopold Kronecker]] ([[1823]]-[[1891]]), is a function of two varia...
8: The Kronecker delta has the so-called ''sifting'' property that...
12: and in fact Dirac's delta was named after the Kronecker delta because of this analogous property.
14: The Kronecker delta is used in many areas of mathematics. For e...
15: while if it is considered as a [[tensor]], the '''Kronecker tensor''', it can be written

Kronecker-Weber theorem (1291 bytes)
1: The statement of the '''Kronecker-Weber theorem''' in [[algebraic number theory]] i...
3: [[Kronecker]] provided most of the proof in 1853, with [[Hein...

Kronecker's theorem (2390 bytes)
1: In [[mathematics]], '''Kronecker's theorem''' is a result in [[diophantine approxi...
7: ...The original '''Kronecker's theorem''' ([[Leopold Kronecker]], 1884) stated that the [[necessary condition]] ...
13: ...e of Pontryagin duality here shows that the whole Kronecker theorem describes the closure of <''P''> as the i...
21: See also: [[Kronecker set]]

Finitism (916 bytes)
3: ...e most famous proponent of finitism was [[Leopold Kronecker]], who said:
5: ...y can trace the origins of constructivism back to Kronecker's finitist work.

Meissel-Mertens constant (1597 bytes)
13: ...also sometimes referred to as [[Leopold Kronecker|Kronecker]]'s constant, or the [[Jacques Hadamard|Hadamard]...

Complex multiplication (2778 bytes)
19: ...] field. Many generalisations have been sought of Kronecker's ideas; they do however lie somewhat obliquely t...

Biorthogonal system (787 bytes)
13: with the [[Kronecker delta]]. This applies, for example, with ''E'' = ...

Matrix multiplication (7683 bytes)
75: ...at the Hadamard product is a [[submatrix]] of the Kronecker product (see below). Hadamard product is studied ...
77: == Kronecker product ==
79: ...and ''B'', we have the '''direct product''' or '''Kronecker product''' ''A'' [[Image:DirectProduct.png]] ''B'...

Class field theory (3281 bytes)
7: ...s the [[Kronecker-Weber theorem]], goes back to [[Kronecker]].
11: ... the [[reciprocity law]]s, work of [[Kummer]] and Kronecker/[[Hensel]] on ideals and completions, the theory ...

Hermann Hankel (703 bytes)
3: ...s, [[Möbius]], [[Riemann]], [[Weierstrass]] and [[Kronecker]].

Root of unity (5290 bytes)
68: ...opold Kronecker|Kronecker]], usually called the ''Kronecker-Weber theorem'' on the grounds that Weber supplie...

Dirac delta function (5990 bytes)
5: ... be used as a continuous analogue of the discrete Kronecker delta.
116: *[[Kronecker delta]]

Preintuitionism (6822 bytes)
32: ...ematicians such as [[Hermann Weyl]] and [[Leopold Kronecker]] also played a role - though they are not cited ...
34: In fact [[Leopold Kronecker|Kronecker]] might be the most famous of the Pre-Intuitionis...
36: [[Leopold Kronecker | Kronecker]] goes in almost the opposite direction from [[H...

Associated Legendre polynomials (1240 bytes)
11: Where <math>\delta _{k,\ell}</math> is the [[Kronecker delta]].

Almost periodic function (3175 bytes)
1: ...s theorem on diophantine approximation|theorem of Kronecker]] from [[diophantine approximation]] can be used ...

Delta (letter) (1114 bytes)
15: * The [[Kronecker delta]] in mathematics.

Generating arithmetic (5164 bytes)
17: ...ivation from natural numbers might have satisfied Kronecker.

Hilbert-Speiser theorem (1612 bytes)
1: ...on]] ''K'' of the [[rational field]] ''Q''. The [[Kronecker-Weber theorem]] characterises such ''K'' as ([[up...

Multiple cross products (1787 bytes)
29: This is shown to be a combination of [[Kronecker delta]]s

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