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** The Nielsen – Schreier theorem, that every subgroup of a free group is free.

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Wikipedia

## Some Related Sentences

** and Nielsen

__**__XYY information booklet by Dr

**.**

__Nielsen__

**,**

**a**psychiatrist and geneticist who led the longest running

**of**7 international newborn screening studies

**of**sex chromosome abnormalities

**.**

__**__

__Nielsen__Broadcast Data Systems

**,**

**a**service also known as BDS

**that**tracks monitored radio

**,**television and internet airplay

**of**songs

__**__

__Nielsen__Media Film Group

**–**Official site ( Index page )

**of**host

**of**ShoWest

**,**ShoEast

**,**and related film expositions ( conventions and trade shows )

__**__ShoWest

**–**Official site published by

__Nielsen__Media Film Group (

**a**division

**of**

__Nielsen__Business Media )

__**__Triple X information booklet by Dr

**.**

__Nielsen__

**,**

**a**psychiatrist and geneticist who led the longest running

**of**8 international newborn screening studies

**of**sex chromosome abnormalities

**.**

__**__ICv2

**.**com report

**that**V for Vendetta

**is**number one in

__Nielsen__BookScan's list

**,**ranked by sales

**,**

**of**graphic novels sold through book stores

**.**

** and –

__**__This

**is**

**a**distinguished work which stands out from

**,**and above

**,**many

**of**the books and articles which have ben written in this century on Avicenna ( Ibn Sīnā ) ( A

**.**D

**.**980

__–__1037 ).

__**__

**The**numbers and are not algebraic numbers ( see the Lindemann

__–__Weierstrass

**theorem**); hence they are transcendental

**.**

__**__Haliotis brazieri f

**.**hargravesi ( Cox

**,**1869 )

__–__synonym: Haliotis ethologus

**,**the Mimic abalone

**,**Haliotis hargravesi

**,**the Hargraves ’ s abalone

__**__Haliotis diversicolor squamata Reeve

**,**1846

__–__synonym: Haliotis squamata

__–__the scaly Australian abalone

** and Schreier

** and theorem

__**__Tarski's

__theorem__: For

**every**infinite set A

**,**there

**is**

**a**bijective map between the sets A and A × A

**.**

__**__König's

__theorem__: Colloquially

**,**the sum

**of**

**a**sequence

**of**cardinals

**is**strictly less than the product

**of**

**a**sequence

**of**larger cardinals

**.**

__**__If S

**is**

**a**set

**of**sentences

**of**first-order logic and B

**is**

**a**consistent subset

**of**S

**,**then B

**is**included in

**a**set

**that**

**is**maximal among consistent subsets

**of**S

**.**

**The**special case where S

**is**the set

**of**all first-order sentences in

**a**given signature

**is**weaker

**,**equivalent to the Boolean prime ideal

__theorem__; see the section " Weaker forms " below

**.**

__**__

**The**Vitali

__theorem__on the existence

**of**non-measurable sets which states

**that**there

**is**

**a**subset

**of**the real numbers

**that**

**is**not Lebesgue measurable

**.**

__**__

**The**Baire category

__theorem__about complete metric spaces

**,**and its consequences

**,**such as the open mapping

__theorem__and the closed graph

__theorem__

**.**

__**__Gödel's completeness

__theorem__for first-order logic:

**every**consistent set

**of**first-order sentences has

**a**completion

**.**

__**__More generally

**,**Rademacher's

__theorem__extends the differentiability result to Lipschitz mappings between Euclidean spaces:

**a**Lipschitz map ƒ: U → R < sup > m </ sup >, where U

**is**an open set in R < sup > n </ sup >,

**is**almost everywhere differentiable

**.**

__**__Artin reciprocity law

**,**

**a**general

__theorem__in number theory

**that**provided

**a**partial solution to Hilbert's ninth problem

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