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