Not every countably compact space is compact ; an example is given by the first uncountable ordinal with the order topology.

The Casio Computer Company, in Japan, released the Model 14-A calculator in 1957, which was the world's first all-electric ( relatively ) " compact " calculator.

The space M × C is compactified over the compact set C, and after Kaluza-Klein decomposition we have an effective field theory over M. A splitting of five-dimensional spacetime into the Einstein equations and Maxwell equations in four dimensions was first discovered by Gunnar Nordström in 1914, in the context of his theory of gravity, but subsequently forgotten.

Madagascar became the first country with a Millennium Challenge Account compact when it signed an agreement worth $ 110 million in April 2006.

To make these more compact, they avoided the steam engine's usual piston rod and separate crosshead and were instead the first engine design to place the gudgeon pin directly within the piston.

These were caplocks or " cap and ball " revolvers, because the caplock method of priming was the first to be compact enough to make a practical revolver feasible.

This was introduced by Western Electric on the compact Trimline telephone, the first to locate the dial in the handset.

The first unit on the market, the MZ-1 was relatively large and unpocketable, but following model, MZ-R2, and subsequent MD Walkmans are quite compact, with today's MiniDisc Walkmans not much larger than the discs themselves.

* August 17 – The first compact discs ( CDs ) are released to the public in Germany.

** Sony launches the first consumer compact disc ( CD ) player ( model CDP-101 ).

The 2012 Hyundai Veloster is a compact 3-door sports car first produced in 2011 as a replacement for the discontinued Hyundai Tiburon.

Dodge had offered panel delivery models for many years since its founding, but their first purpose-built van model arrived for 1964 with the compact A Series.

The first commercial application in mass-produced consumer products appeared in 1982 with the compact disc, where two interleaved RS codes are used.

Holst conducted the LSO in two recorded performances of The Planets: the first was an acoustic recording made in sessions between 1922 and 1924 ( now available on Pavilion Records ' Pearl label ); the second was made in 1926, and utilised the then-new electrical recording process ( in 2003, this was released on compact disc by IMP and later on Naxos outside the United States ).

The first serious investigation of using a gas turbine in cars was in 1946 when two engineers, Robert Kafka and Robert Engerstein of Carney Associates, a New York engineering firm, came up with the concept where a unique compact turbine engine design would provide power for a rear wheel drive car.

So a fortiori, if is also compact, then such topologies coincide and hence we have, combined with the first fact,.

The first generation of American vans were the 1960s compact vans, which were patterned in size after the Volkswagen Bus.

In 1984, as a result of the friendship between Lemay and the company's chief designer, Randall began producing the first of what would be two different models of compact. 45 ACP pistol with the Lemay 4-Star designation.

DPZ's work has brought international attention to urbanism and its postwar decline, being among the first to advocate a return to sustainable, environmentally-responsive, pedestrian-oriented, mixed-use and compact urban growth.

The first StarOffice suite included StarWriter compact, StarBase 1. 0, StarDraw 1. 0.

Currently, both the Chicago Sun-Times and the St. Louis Post Dispatch are printed as compact format newspapers, as well as a digested version of The Washington Post, the edition of July 31, 2006, becoming the first American newspaper to change to the Berliner format ; however, the most recent change was in February 2009 when the Reading Eagle converted to the Berliner format as well.

Because of that first defensive role, its narrow streets and bleak surrounding the oval originating in compact rows of houses parallel to each other and with respect to the medieval walls ( of which only some sections are preserved and gates ).

It is almost trivial to prove that the product of two sequentially compact spaces is sequentially compact — one passes to a subsequence for the first component and then a subsubsequence for the second component.

The first of the Georgian docks was the West India ( opened 1802 ), followed by the London ( 1805 ), the East India ( also 1805 ), the Surrey ( 1807 ), St Katharine ( 1828 ) and the West India South ( 1829 ).

President Saakashvili ranked first with 33 %-an all-time low for the Georgian President-whilst no other individual managed to surpass double-digit levels of support.

In Canada the United Empire Loyalists embraced Georgian architecture as a sign of their fealty to Britain, and the Georgian style was dominant in the country for most of the first half of the 19th century.

The first Christianized adaptation was the Georgian epic Balavariani dating back to the 10th century.

* 1907 – The first issue of the Georgian Bolshevik newspaper Dro is published.

* 1990 – The Georgian Soviet Socialist Republic holds the first multiparty legislature election in the country's history.

* Ashot I becomes the first Georgian Bagratid prince of Iberia under the Byzantine protection.

* January 29 – Ashot I, the first Georgian ruler of the Bagratid dynasty

Her position as the first woman to rule Georgia in her own right was emphasized by the title mep ' e (" king "), commonly afforded to Tamar in the medieval Georgian sources.

Its name in Georgian and Syriac means " first day ".

The kingdom of Colchis, which existed from the sixth to the first centuries BC is regarded as the first early Georgian state and the term Colchians was used as the collective term for early Georgian tribes which populated the eastern coast of the Black Sea.

This kingdom was a first state formation of the early Georgian tribes ( including other Kartvelians such as Laz ).

Georgia's 94th county was named for William Washington Gordon ( 1796 – 1842 ), the first Georgian to graduate from West Point and first president of the Central of Georgia Railroad ( See a monument to William Gordon in Savannah, Georgia ).

This was at the period when the first Georgian Poetry anthology was being hatched.

The Kershaw House, Georgian mansion first built, 1775-1780, by Joseph Kershaw, merchant and leading citizen of Camden became the headquarters for the occupying British army, 1780-1781.

The community was first called Jackson, after D. W. Jackson, a native Georgian and area landowner who donated land for the railroad right-of-way and the townsite.

One of the first compositions to show this influence was his setting of Alexander Pushkin's " Georgian song ", while a quasi-oriental style appeared in other songs.

The first attempt at forging an alliance was made by Alexander I, king of a small Georgian kingdom of Kakheti, who dispatched two embassies, in 1483 and 1491, to Moscow.

Georgian shared a common ancestral language with and is believed to have separated from Svan and Mingrelian / Laz in the first millennium BC.

The first Georgian texts are inscriptions and palimpsests dating to the 5th century.