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 karl weierstrass - Definition 

Weierstrass function (704 bytes)
1: ...le, and this property is both stable and generic. Weierstrass functions are defined by

Weierstrass M-test (1059 bytes)
1: In [[mathematics]], the '''Weierstrass M-test''' is an analogue of the comparison test f...
11: A more general version of the Weierstrass M-test holds if the [[codomain]] of the functions...

Weierstrass-Casorati theorem (1590 bytes)
1: The '''Weierstrass-Casorati theorem''' in [[complex analysis]] descr...
9: The Weierstrass-Casorati theorem states that

Lindemann-Weierstrass theorem (2683 bytes)
1: In [[mathematics]], the '''Lindemann-Weierstrass theorem''' states that if &alpha;<sub>1</sub>,......
3: ...ticular result that &pi; is transcendental, and [[Karl Weierstraß]].
11: The '''p-adic Lindemann-Weierstrass conjecture''' is that this conjecture is also tru...
13: [[sl:Lindemann-Weierstrassov izrek]]

Bolzano-Weierstrass theorem (2039 bytes)
1: The '''Bolzano-Weierstrass theorem''' in [[real analysis]] states that every...
16: ...from=objects&id=2129 PlanetMath: proof of Bolzano-Weierstrass Theorem] (different proof than the one outlined a...

Stone-Weierstrass theorem (8614 bytes)
1: ... version of this result has been established by [[Karl Weierstraß]] in 1885.
3: ...''. The Stone-Weierstrass theorem generalizes the Weierstrass approximation theorem in two directions: instead ...
5: ...]] by algebras of the type appearing in the Stone-Weierstrass theorem and described below.
7: == Weierstrass approximation theorem ==
9: ...approximation theorem as originally discovered by Weierstrass is as follows:

Weierstrass preparation theorem (2495 bytes)
1: In [[mathematics]], the '''Weierstrass preparation theorem''' is a tool for dealing with...
3: ... has disputed the attribution of the theorem to [[Weierstrass]], saying that it occurred under the current name...
6: ..., ''z''<sub>2</sub>, ..., ''z<sub>n</sub>''). A ''Weierstrass polynomial'' W(''z'') is
30: ...'' analytic and ''h''(0, ..., 0) = 0, and ''W ''a Weierstrass polynomial.

Weierstrass's elliptic functions (9756 bytes)
1: In [[mathematics]], [[Weierstrass]] introduced some particular [[elliptic function]...
7: Then '''Weierstrass's elliptic function''' is an elliptic function wi...
24: ...of elliptic functions shows that the condition on Weierstrass's function (correctly called ''pe'') is determine...
71: The Weierstrass elliptic functions have several properties that m...
108: '''Weierstrass <math>\wp</math> function''' by:

Karl (1045 bytes)
1: Karl can refer to:
3: ...ks]], the [[Lombards]] and [[Rome]] (also called "Karl/Charles the Great")
5: *[[Charles XV of Sweden|Karl XV]] - King of Sweden-[[Norway]]
6: *[[Charles XIV of Sweden|Karl XIV Johan]] - King of Sweden-Norway
7: *[[Charles XIII of Sweden|Karl XIII]] - King of Sweden-Norway

Karl May (8270 bytes)
1: '''Karl Friedrich May''' (Hohenstein-Ernstthal, [[Februar...
7: ...mon Diaz de la Escosura, M. Gisela, Hobble-Frank, Karl Hohenthal, D. Jam, Prinz Muhamel Lautréamont, Ern...
13: [[Image:KarlMay.jpeg|right|Karl May]]
15: ...otagonist calls himself [[Kara Ben Nemsi]], i.e., Karl, son of Germany, and travels with his local guide...
21: ...ermany]] has been turned into a museum devoted to Karl May and his anthropological collection of artifac...

Karl G. Henize (5932 bytes)
1: '''Karl G. Henize''', [[Doctor of Philosophy|Ph.D.]] ([[O...
45: [[Category:1926 births|Henize, Karl G.]]
46: [[Category:1993 deaths|Henize, Karl G.]]
47: [[Category:Astronauts|Henize, Karl G.]]
48: [[Category:People from Ohio|Henize, Karl G.]]

Karl Zuchardt (458 bytes)
1: '''Karl Zuchardt''' was a German writer, born in the [[Ge...

Karl Baedeker (362 bytes)
1: '''Karl Baedeker''' ([[November 3]], [[1801]]&ndash;[[Oct...
5: [[Category:1801 births|Baedeker, Karl]]
6: [[Category:1859 deaths|Baedeker, Karl]]
7: [[Category:Travel|Baedeker, Karl]]
9: [[de:Karl Baedeker]]

Karl Ziegler (785 bytes)
1: '''Karl Waldemar Ziegler''' ([[November 26]], [[1898]] - ...
12: [[Category:1898 births|Ziegler, Karl]]
13: [[Category:1973 deaths|Ziegler, Karl]]
14: ...ategory:Nobel Prize in Chemistry winners|Ziegler, Karl]]
15: [[Category:German chemists|Ziegler, Karl]]

Karl Lashley (1224 bytes)
1: '''Karl S. Lashley''' ([[1890]]-[[1958]]) was an American...
19: [[Category:1890 births|Lashley, Karl]]
20: [[Category:1958 deaths|Lashley, Karl]]
21: [[Category:Psychologists|Lashley, Karl]]

Karl Kruszelnicki (4566 bytes)
1: ...[television]]. He is usually referred to as ''Dr Karl'' by his fans. He is currently the Julius Sumner ...
3: ...e Neighbours episode, he is confused with the Dr. Karl character of that series with "hilarious results"...
7: ...rs, and sometimes appearing in [[claymation]]. Dr Karl is the spokesman for the RTA [[Microsleep]] aware...
14: *''Dr. Karl's Collection of Great Australian Facts & Firsts''...
25: Dr Karl's Collection of Great Australian Facts & Firsts

Karl Buechner (459 bytes)
1: '''Karl Buechner''' is the original singer for the band [...

Karl Hass (3754 bytes)
1: '''Karl Hass''', born [[October 5]], [[1912]] in [[Kiel]]...
3: ...nfuhrer (Lieutenant-Colonel) [[Herbert Kappler]], Karl Hass aided in the deportation of more than 1,000 ...
5: Karl Hass was also the officer who lured [[Mafalda Mar...
7: ...sistance fighters that killed 33 German soldiers, Karl Hass with Capt. [[Erich Priebke]] and his fellow ...
9: ...stimony to Court officials. In the court records, Karl Hass admitted to executing two civilians but defe...

Karl L. Littrow (648 bytes)
1: '''Karl Ludwig von Littrow''' ([[July 18]], [[1811]] - [[...
12: [[Category:1811 births|Littrow, Karl L.]]
13: [[Category:1877 deaths|Littrow, Karl L.]]
14: [[Category:Austrian astronomers|Littrow, Karl L.]]

Karl Klindworth (1967 bytes)
1: '''Karl Klindworth''' (born [[September 25]], [[1830]] &n...
9: [[Category:1830 births|Klindworth, Karl]]
10: [[Category:1916 deaths|Klindworth, Karl]]
11: [[Category:Romantic composers|Klindworth, Karl]]

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