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** The closed unit ball of the dual of a normed vector space over the reals has an extreme point.

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## Some Related Sentences

** and closed

__**__

**The**Baire category theorem about complete metric spaces, and its consequences, such as

**the**open mapping theorem and

**the**

__closed__graph theorem

**.**

__**__in

**a**

__closed__consensus process: Restricted membership and often having formal procedures for due-process among voting members

__**__

**The**

__closed__flute family, in which

**the**musical instrument

**has**

**a**channel to form and direct

**the**air stream

**over**

**an**edge

**.**

__**__

**The**U

**.**S

**.**Senate Committee on Armed Services and U

**.**S

**.**Senate Committee on Foreign Relations begins its

__closed__door hearings into

**the**dismissal

**of**General Douglas MacArthur by U

**.**S

**.**President Harry S Truman

**.**

__**__Adolf Hitler marries his longtime mistress Eva Braun in

**a**

__closed__civil ceremony in

**the**Berlin Führerbunker

**.**

__**__French President Charles De Gaulle states that French troops will be taken out

**of**NATO and that all French NATO bases and HQ's must be

__closed__within

**a**year

**.**

__**__is

__closed__under countable unions: if A < sub > i </ sub >∈ for i = 1, 2 ,…, then also (∪< sub > i </ sub > A < sub > i </ sub >)∈

__**__A snatch-block can be

__closed__around

**a**line, to grab

**the**line, rather than threading

**the**end

**of**

**the**line through

**the**block

**.**

** and unit

__**__Heterogeneous aggregate data types () allow related data elements to be accessed, for example assigned, as

**a**

__unit__

**.**

__**__Arithmetic logic

__unit__( ALU )-The ALU executes all arithmetic and logic instructions, and provides

**the**results in binary coded form

**.**

__**__Decoder unit-converts binary code into " decimal " numbers which can be displayed on

**the**display

__unit__

**.**

__**__For ohm – SI

__unit__

**of**electrical resistance ; formerly also used upside down () to represent mho,

**the**old name for

**the**inverse

**of**

**an**ohm ( now siemens with symbol S ) used for electrical conductance

**.**

__**__Statistical

__unit__,

**a**single data

**point**, or collection

**of**data points grouped as

**a**single entity, on which statistical analysis is performed

__**__Warsaw surrenders to Germany ; Modlin surrenders

**a**day later ;

**the**last Polish large operational

__unit__surrenders near Kock 8 days later

**.**

__**__

**The**only flight

**of**

**the**German ramming

__unit__known as

**the**Sonderkommando Elbe takes place, resulting in

**the**loss

**of**some 24 B-17s and B-24s

**of**

**the**United States Eighth Air Force

**.**

__**__WWII:

**The**First Sisak Partisan Brigade,

**the**first anti-fascist armed

__unit__in occupied Europe, is founded by partisans near Sisak, Croatia

**.**

__**__

**The**first official large

__unit__action

**of**

**the**Vietnam War took place when two companies

**of**

**the**ARVN 23d Division were ambushed by

**a**well-organized Vietcong force

**of**several hundred identified as

**the**" 2d Liberation Battalion ".

__**__

**The**United States officially begins using

**the**international

__unit__

**of**

**the**nautical mile, equal to 6, 076

**.**11549 ft

**.**or 1, 852 meters

**.**

__**__M551A1 TTS-Tank Thermal Sight, fitted with

**the**AN / VSG-2B thermal sight

__unit__, similar to

**the**

__unit__used on

**the**M60A3 MBT

**.**

__**__

**The**marginal rate

**of**substitution tells how much ' y '

**a**person is willing to sacrifice to get one more

__unit__

**of**' x '.

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